class assignments book

8/17/2019 Class Assignments Book

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CL SS

SSIGNMENTS

2 6


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INDEX

1. Quantitative Aptitude Assignments ……………………………………………… 1- 27

2. Logical Reasoning Assignments…………………………………………….……… 28-47

3. Verbal Ability Assignments……………………………………………………………48-76

4. General Awareness Assignments………………………………………..……….77-100

PagesAssignments


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QUANTITATIVE APTITUDE

CLASS ASSIGNMENT -1Average, Percentage, Profit/Loss

AVERAGEComplete the following exercise:

Observations Average

1,2,3,4,5,6,7,8,9,10

21, 24, 27, 30, 33, 36

10, 20, ___ , 35, 45, 65 40

Complete the given exercise:

No.

of

girls

Avg.

weight

of girls

No.

of

boys

Avg.

weight

of boys

overall

average

weight

10 20 kg 20 30 kg

10 30 45 kg 38.75

15 kg 25 40 kg 27.5

1. What is the average of the following

observations: 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5,

6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7

(a) 4 (b) 5(c) 6 (d) None of these

2. The average age of A and B is 20 years, that of B

and C is 19 years and that of A and C is 21 years.

What is the age (in years) of B?

(a) 39 (b) 21

(c) 20 (d) 18

3. The average weight of 8 people increases by 2.5

kg when a new person comes in place of one of

them weighing 65 kg. What might be the weight

of the new person?

(a) 84 kg (b) 85 kg

(c) 86 kg (d) 87 kg

4. The average salary of 12 employees of STAR PLUS

is Rs. 18,000 and that of 15 employees of NDTV is

Rs. 25,000 per month. The average monthly of all

employees in rupees is:

(a) 17,000 (b) 16,500

(c) 20,000 (d) None of these

5. Karna drove his chariot from Kurukshetra to

Indraprastha at the speed of 40 km/hr and then

he traveled the same distance on his foot at 10

km/hr towards Mathura. He then returned from

Mathura to Kurukshetra via Indraprastha at 24

km/hr riding on a horse.

The average speed of the whole trip is:

(a) 20 km/hr (b) 25 km/hr(c) 19.2 km/hr (d) 18.5 km/hr

6. The average of nine numbers is M and the

average of three of these is P. If the average of

remaining numbers is N , then

(a) M = N + P (b) 2M = N + P

(c) 3M = 2N + P (d) 3M = 2P + N

PERCENTAGE

Complete the given exercise:

Fraction Corresponding percentage

1/2

1/4

1/_ 12.5%

33.33%

16.66%

11.11%

1. A number is increased by 37.5% and it gives 99 as

the final answer. The number is:

(a) 140 (b) 61.5

(c) 72 (d) 48

2. Two candidates fought an election. One got 65%

of the votes, and won by a margin of 3,600 votes.

The total number of votes polled is:

(a) 12,000 (b) 10,000

(c) 2,000 (d) 8,000

QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 1 Page 1


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3. The price of an item is increased by 20% and then

decreased by 20%. The final price of the item as

compared to its original price is:

(a) 4% more (b) 4% loss

(c) No profit No loss (d) Cannot be found

4. The average weight of a class of students is 67.5

kg. The weight of the class teacher is 25% more

than the average weight of the class. The average

weight of the class is less than the class teacher

by x%. The value of x is:

(a) 33.33% (b) 25%

(c) 20% (d) Cannot be found

5. Each side of a cube is increased by 20%. The total

percentage increase in the surface area of the

cube is:(a) 144% (b) 40%

(c) 44% (d) 72.8%

PROFIT LOSS

Complete the following exercise:

CP Profit/Loss SPProfit/Loss

(%)

100 80

50 +25

-70 200100 +25%

300 +75%

Given are some questions without any option.

Solve these questions and write your answer in

the space provided

1. Find the cost price of an article which is sold for

Rs. 220 at a loss of 12% _________

2. A man sells two wrist watches. One at a profit of

10% and another at a loss of 10%, but the selling

price of each watch is Rs. 200. Find the:

(1) Net percentage profit or loss. _________

(2) Net amount of profit or loss. _________

3. A man sells a book at a profit of 20%. If he had

bought it at 20% less and sold it for Rs. 18 less, he

would have gained 25%. The cost price of book is

_________.

4. If the cost price of 15 apples is equal to the selling

price of 20 apples. What is the gain or loss

percentage? _________

5. By selling 8 bananas, a fruit seller gains the selling

price of 1 banana. Calculate his gain percentage.

_________

6. Anna sold his muffler to Arvind at a profit of 20%

and Arvind sold it to Kiran at a profit to 100%.

Kiran sold it to Narendra at a loss of 9.09%.

Narendra then sold the same muffler to Anna at

a profit of 10%. What is Anna’s overall profit/loss

percentage? _________



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CLASS ASSIGNMENT - 2Ratio / Proportion, Mixtures, Partnership

Complete the given table

Ratio Suraj’s Salary Dheeraj’s Salary Total Salary

3:4 300

3:4 800

3:4 2800

2:_ 800 1200

600 1800

900 1200

RATIO1. Find the ratio of 90 cm to 1.5 m _________

2. The ratio of A: B is 1: 3, B: C is 2: 5, C: D is 2: 3.

Find the value of A: B: C: D. _________

3. The sum of two natural numbers is 64. Which of

the following cannot be the ratio of these two

numbers?

(a) 3 : 5 (b) 1 : 3

(c) 7 : 9 (d) 3 : 4

4. If A, B & C have some sweets with them all

together weighing 110 kg. If A gives half of his

share to B then he now has twice as much as A.

but if C gives half of his share to B, then B now has

four times as much as that of C. What amount of

sweets does B has initially?

(a) 60 kg (b) 30 kg

(c) 20 kg (d) None of these

5. A cat takes 5 steps for every 7 steps of a dog, but

5 steps of a dog are equal to 6 steps of a cat. What

is the ratio of speed of cat to that of dog?

(a) 24 : 25 (b) 42 : 25

(c) 24 : 19 (d) 25 : 42

6. A camel pursue an elephant and takes 5 leaps for

every 7 leaps of the elephant, but 5 leaps of

elephant are equal to 3 leaps of camel. What is

the ratio of the speeds of camel and elephant?

(a) 5 : 4 (b) 4 : 5

(c) 25 : 21 (d) 21 : 25

MIXTURES7. In the 75 litres of mixture of milk and water, the

ratio of milk and water is 4: 1. The quantity of

water required to make the ratio of milk andwater 3 : 1 is :

(a) 1 litre (b) 3 litres

(c) 4 litres (d) 5 litres

8. 450 litres of a mixture of milk and water contains

the milk and water in the ratio 9: 1. How much

water must be added to make a new mixture

containing milk and water in the ratio 3: 1?

(a) 54 litres (b) 90 litres

(c) 45 litres (d) 63 litres

9. The ratio of petrol and kerosene in a container is

3: 2. When 10 liters of mixture is taken out, and

replaced by the kerosene, the ratio becomes 2: 3.

The total quantity of the mixture in the container

is:

(a) 25 litres (b) 30 litres

(c) 45 litres (d) Cannot be found



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PARTNERSHIP10. A company makes a profit of Rs. 9,00,000. Twenty

percent of which is paid as taxes. If the rest is

divided among the partners, P, Q & R in the ratio

of 1 ∶

∶ 2, then the shares of P, Q & R are

respectably:

(a) Rs. 2,40,000, Rs. 3,20,000, Rs. 1,60,000

(b) Rs. 3,20,000, Rs. 2,40,000, Rs. 1,60,000

(c) Rs. 1,60,000, Rs. 3,20,000, Rs. 2,40,000

(d) Rs. 1,60,000, Rs. 2,40,000, Rs. 3,20,000

11. We have to divide a sum of Rs 13,950 among

three persons A, B and C. B must get the double

of A’s share and C must get Rs 50 less than the

double of B’s shares. The share of A will be:(a) Rs 1,950 (b) Rs. 1,981.25

(c) Rs. 2,000 (d) Rs. 2007.75

12. A and B are partners in a business. They invest in

the ratio 5 : 6, at the end of 8 months A

withdraws. If they receive profits in the ratio of

5:9, find how long B’s investment was used?

(a) 12 months (b) 10 months

(c) 15 months (d) 14 months



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CLASS ASSIGNMENT - 3Speed, Distance, Time, Work, Pipes

SPEED, DISTANCE, TIME

Convert the given units.

___ m = 5 km

___ m = 2.5 km

1400 m = ____ km

8000 m = ____ km

150 m = ____ cm

189 m = ____ cm

____ Km = 400 cm

____ Km = 2400 cm

1 hr = _____ mins

0.5 hr = _____ mins

2.5 hr = _____ mins

4 hr = _____ mins

60 min = _____ hr

480 min = _____ hr

Complete the given table Convert the given speeds

Sl.No

Distance Time Speed

1 100 km 20 hr ___ km/hr

2 ____ km 2 hr 30 km/hr

3 20 km _____ min 4 km/hr

4 100 m 20 hr ___ m/sec

5 ___ m 240 sec 30 km/min

6 20 m _____ hr 4 km/hr

Revise Your Basics

1. A car travels 15 meters in 2 seconds. Find its

speed in m/s.

2. Usain Bolt runs 100 metres in 9 seconds. Find his

speed in km/hr.

3. Boing 747 travels 15 kms in 3 minutes. Find its

speed in m/s.

4. The rocket used to launch Mangalyaan covers

200 km in 6 minutes. Find its speed in km/hr.

5. A skateboarder rolls at 8 m/s. how long would it

take him to roll 60 m at this speed?

SPEED, DISTANCE, TIME1. A bus travels at an average speed of 100 km/hr,

stopping for 3 minutes after every 75 km. How

long did it take to reach its destination 600 km

from the starting point?

(a) 6 hr 24 min (b) 6 hr 21 min

(c) 6 hr 18 min (d) 6 hr 15 min

2. A car goes from a Delhi to Panipat at a speed of

32 km/hour but returns to Delhi at a slower

speed. If its average speed for the trip is 28

km/hour, find the return speed of the train.

(a) 48 km/hour (b) 25 km/hour

(c) 52 km/hour (d) 47.4 km/hour

Km/hr m/sec

32

15

60

100

2.5



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3. A train crosses a pole in 10 seconds. If the speed

of the train is 10 m/s, then what is the length of

the train?

(a) 1 m (b) 10 m

(c) 100 m (d) Cannot be found

4. A train, 800 meter long is running with a speed of

78 km/hr. It crosses a tunnel in 1 minute. What is

the length of the tunnel?

(a) 650 meter (b) 555 meter

(c) 500 meter (d) 458 meter

5. How many seconds will a 500 meter long train

take to cross a man walking with a speed of 3

km/hr in the direction of the moving train if the

speed of the train is 63 km/hr

(a) 25 seconds (b) 28 Seconds

(c) 30 seconds (d) 35 Seconds

6. The speed of a boat is 10 kmph and that of a

stream is 5 kmph. What will be the time taken by

the boat to travel

(a) Upstream 10 km in the stream?

(b) Downstream 10 km in the stream?

7. By increasing its speed by 1km per hour, a person

was able to reach his office early by 1 hour. If the

distance between his office and his house is 20

km, then what was his original speed was?

(a) 3 km/hr (b) 4 km/hr

(c) 5 km/hr (d) 6 km/hr

PIPES & CISTERNS

Complete the Given Table

Sl. No Capacity of TankTime taken to fill up

tank

Capacity of tank

filled in 1 min

Fraction of Tank

Filled in one minute

1 120 L 1 hr

2 240 L 2 hr

3 360 L 300 ml

4 3 min 400 ml

1. A pipe is known to fill up a tank in 1 hour. What

portion of the tank is filled up by the pipe in 1

minute?

2. In continuation to the previous question, if it isknown that another pipe fills up the same tank in

30 minutes, then what portion of the tank is filled

up by the pipe in 1 minute?

3. Two pipes ‘A’ and ‘B’ can fill a tank in 6 hours and

4 hours respectively. If they are opened on

alternate hours and if pipe ‘A’ is opened first, in

how many hours, the tank will be full?

4. In a house, the water supply provided by MCD

guarantees to fill up a standard water tank in 3

hours. And a tap in the kitchen is known to drain

the water tank in 5 hours. If the tank is initially

empty and both of them are openedsimultaneously, then in how much time will the

tank be full?

5. Two taps can fill a tub at 10 L/min. and 15 L/min.

respectively. A pipe can empty it in at the rate of

8L/min. If all the three are kept open The tank

gets filled in 24 hours. What is the capacity of the

tank?



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WORK

1. ‘A’ can do a piece of work in 8 days, ‘B’ can

do a piece of work in 12 days. How manydays will they take to complete the piece of

work working together?

2. ‘A’ and ‘B’ can together complete a piece of

work in 4 days. If ‘A’ alone can complete the

same work in 12 days, in how many days can

‘B’ alone complete that work?

(a) 4 days (b) 5 days

(c) 6 days (d) 7 days

3. ‘A’ is twice as good as workman as ‘B’ and

together they finish a piece of work in 18

days. In how many days will ‘B’ alone finish

the work?



4. 20 workers can finish a piece of work in 30

days. After how many days should 5 workers

leave the job so that the work is completed in 35

days?



5. Tom can copy 50 pages in 10 hours: tom and

brad together can copy 300 pages in 40 hours. In

how much time can brad copy 30 pages?





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CLASS ASSIGNMENT – 4Speed, Distance, Time, Work, Pipes

SPEED, DISTANCE, TIME

1.

Two trains of equal length are running on

parallel lines in the same direction at 46 km/hr

and 36 km/hr. The faster train passes the

slower train in 36 seconds. The length of each

train is:



2.

A 270 metres long train running at the speed of

120 kmph crosses another train running in

opposite direction at the speed of 80 kmph in

9 seconds. What is the length of the other

train?



3.

Two cyclists start on a circular track from a

given point but in opposite directions with

speeds of 7 m/s and 8 m/s respectively. If the

circumference of the circle is 300m, after what

time will they meet at the starting point?

(a) 20 (b) 100

(c) 300 (d) 200

4.

If Rahul rows 15 km upstream in 3 hours and

21 km downstream in 3 hours, then the speed

of the stream is



5.

A man can row at 5 kmph in still water. If the

velocity of the current is 1 kmph and it takes

him 1 hour to row to a place and come back.

How far is that place.

(a) 0.4 km (b) 1.4 km

(c) 2.4 km (d) 3.4 km

6. Buses start from a bus terminal with a speed of

20 km/hr at intervals of 10 mins. What is the

speed of a man coming from the opposite

direction towards the bus terminal if he meets

the buses at intervals of 8 mins?



7.

In a race of 600 meters, Ajay beats Vijay by 60

meters and in a race of 500 meters Vijay beats

Anjay by 25 meters. By how many meters will

Ajay beat Anjay in a 400 meter race?

(a) 48 m (b) 52 m

(c) 56 m (d) 58 m



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WORK, PIPES & CISTERNS

1. Ram can do a piece of work in 8 days which

Shyam can finish in 12 days. If they work at it

on alternate days with Ram beginning, in how

many days, the work will be finished?

(a) 9 and 1/3 (b) 9 and 1/24

(c) 9and 1/2 (d) 10 and 1/3

2. A is twice as good a workman as B and

‘together they complete a work in 15 days. In

how many days can the work be completed by

B alone.

(a) 22

(b) 37

(c) 30 ` (d) 45

3. 4 men and 6 women finish a job in 8 days, while

3 men and 7 women finish it in 10 days. In how

many days will 10 women working together

finish it?



4. 5 men and 2 boys working together can do four

times as much work as a man and a boy.Working capacity of man and boy is in the ratio

(a) 1:2 (b) 1:3

(c) 2:1 (d)2:3

5. Sakshi can do a piece of work in 20 days. Tanya

is 25% more efficient than Sakshi. The number

of days taken by Tanya to do the same piece of

work is:

(a) 15 (b) 16

(c) 18 (d) 25

6. Twenty women can do a work in sixteen days.

Sixteen men can complete the same work in

fifteen days. What is the ratio between the

capacity of a man and a woman?

(a) 3 : 4 (b) 4 : 3

(c) 5 : 3 (d) Data inadequate

7. Two candles of the same height are lighted at

the same time. The first is consumed in 4 hr

and the second in 3 hr. Assuming that each

candle burns at a constant rate, in how many

hrs after being lighted was the first candle

twice the height of the second?

(a) 0.45 hr (b) 1.5 hr

(c) 2.6 hr (d) 2.4 hr

8. 40 men build a wall 4 meters high in 15 days.

The number of men required to build a similar

wall of 5 meters height in 6 days would be:

(a) 115 (b) 105

(c) 135 (d) 125

(e) None of these

9. If 12 men or 6 women can bake 48 cakes in one

day, then how many cakes can 8 men and 8

women bake in one day?

10. X is 60% less efficient than Y. If X does the job

in 30 days, Y would take how many days to

finish the job?


(c) 75 days (d) 18

4 days

(e) None of these



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CLASS ASSIGNMENT - 5Number Systems

1. Which of the following is not correct :

(a) 2 is a prime number (True / False)

(b) -2 is a prime number (True / False)

(c)

is an even number (True / False)

(d) -12 is a composite number (True / False)

2. If x is an odd integer, all of the following are

odd except:

(a) x – 2 (b) 6x + x

(c) x2 + 2x (d) x2 + x

3. What number(s) can be put in place of ‘c’ in

the number ‘38c’ to make it divisible by :

(i) 2 (ii) 3 (iii) 4

(iv) 5 (v) 6 (vi) 8

(vii) 9 (viii) 10 (ix) 11

4. If n is a positive integer, which one of the

following numbers must have a remainder of

3 when divided by any of the numbers 4, 5,

and 6?

(a) 12n + 3 (b) 24n + 3

(c) 90n + 2 (d) 120n + 3

5. A hundred and twenty digit number is

formed by writing the first x natural numbers

in front of each other as

12345678910111213.. Find the remainder

when this number is divided by 8.

(a) 6 (b) 7

(c) 2 (d) 0

6. On a road three traffic lights change after 48,

72, 108 seconds. If all the three lights

changes simultaneously on 8:20:00 pm, then

at which of the following time the lights will

again change simultaneously?

(a) 8 : 27 : 12 (b) 8 : 25 : 14

(c) 8 : 30 : 00 (d) 8 : 29 : 30

7. The largest possible length of measuring

tape which can measure 525cm, 1050cm

and 1155cm length of cloth in a minimum

number of attempts (measuring it in cms

only) is:

(a) 25 (b) 10

(c) 75 (d) None of these

8. Find the largest no. which divides 5, 7, 9, 12

& 15 and leaves a remainder 1 in each case:

9. In a bangle shop, if the shopkeeper displays

the bangles in the form of a square then he

is left with 38 bangles with him. If he wanted

to increase the size of the square by one unit

on each side, then he notices that he is short

of 25 bangles. The actual number of bangles

that he has with him is:

(a) 1690 (b) 999

(c) 538 (d) CBD

10. What will be the remainder of()

?

11. What will be the remainder of ()

?

12. What will be the remainder when 16 is

divided by 5?

13. If it is known that: 7! = 7X6X5X4X3X2X1

5! = 5X4X3X2X1 and so on. What is the value

at the unit place of: 1! + 2! + 3! + 4! +

5! + … + 10!

14. What is the remainder when 1! + 2! +

3! + 4! + 5! + … + 15! is divided by 5?

15. What is the digit at the unit’s place of:

(a) 6 (b) 15



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CLASS ASSIGNMENT - 6Equations and Logarithm

EquationsIdentify the given equations

Equation Degree

Type of Equation

(Put a check in the correct box)Number of

Variables

Value of

Variables

(If possible)Linear Quadratic Cubic

3 + 4 = 03 + 4 = 2 + 2 + 1 = 0 + 3 + −1 = 0

+ + = 9Complete the following table:

EquationsValue of

ConstantsRatio of Constants Type of Lines

Unique

Solutions

2 + = 93 + 7 = 15

= = =

=

= =

Intersecting [ ]

Parallel [ ]

Coincident [ ]

Unique [ ]

No solution [ ]

Infinite [ ] = =

=

2 + = 96 + 3 = 15

= = =

= =

= Intersecting [ ]

Parallel [ ]

Coincident [ ]

Unique [ ]

No solution [ ]

Infinite [ ] = = =

6 + 3 = 1512 + 6 = 30

= = =

=

= =

Intersecting [ ]

Parallel [ ]

Coincident [ ]

Unique [ ]

No solution [ ]

Infinite [ ] = = =

Solve the following questions:

1. In an entrance test comprising of 100 questions,

a student scores 6 marks for every correct answer

and loses 2 marks for every wrong answer. If a

student attempted 90 questions and scores 356

marks, then the number of questions answered

correctly are:

(a) 67 (b) 68 (c) 70 (d) 71

2. The number of values of for which the systemof equations:

( + 1) + 8 = 4 + ( + 3) = 3 − 1

has infinitely many solutions, is:



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(a) 0 (b) 1 (c) 2 (d) Infinite

Solving Quadratic Equations and Relation between roots of quadratic equation:

Equations Root 1 Root 2 Sum of roots Product of roots

+ 3 + 2 = 0 + 4 + 4 = 04 + 4 − _ _ = 0 1

21. Kunal told Kanika that he has either or

marbles. Further he stated that , satisfy theequation − ( + 1) + = 0, then ( +1)( + 1) =(a) 1 − (b) − 1 (c) 1 + (d)

2. If one root of the equation ax + b x + c = 0,

a ≠ 0, be reciprocal of the other, then:

(a) b = c (b) a = c (c) a = 0 (b) b = 0

3. The positive value of ‘m’ for which the roots of

equation + 4( − 2) + 2 7 = 0 are in ratio1:3, is:

(a) 7 (b) 5

(c) 3 (d) 1

4. If , are the roots of the equation 3 + 4 +7 = 0 , then the value of +

is

(a) − (b) − (c) − (d) −

LogarithmFill in the blank Spaces

2 = _____ 3 = _____ 5 = _____

2(___) = 8 3(___) = 27 5(___) =625

log 8 = log 27 = log 625=

Solve the following:

log 10000 = log 512= log 9 =

Properties of log

(a)

loga = b × l o g(a) (b)

log(ab) =log(a) +log(b) (c)

log = l o g(a) −log(b) (d) log a = k k

Important log values:

log 2 = 0.3010 log 3=0.4771

Using the given properties of log, solve the

following:

1. log 4 = 4. log 16 =2. log 6 = 5. log 6 =3. log 0.01 = 6. log 1 =

Solve the following questions:

1. If log 64+log 9 = l o g , then is equal to(a) 105 (b) 107

(c) 1012 (d) 1015

2. If log(5) = c, then bwill be:(a) 4 (b) 5

(c) 25 (d) 625

3. The number of real solutions of the equationlog (−) = 2 log ( + 1) (a) 1 (b) 2

(c) 3 (d) 4

4. If loglog(√ + 4 + ) = 0 , then what is thevalue of?

(a) 1/4 (b) 3/4

(c) 9/4 (d) Cannot be solved



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QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 7Permutation & Combination , Probability

1. How many numbers of following digits canbe formed by using 1, 2, 3, 4, 5 (with

repetition)?

(a) 5 digit (b) 4 digit (c) 3 digit

2. How many six digit numbers can be formed

with 0, 1,2,3,4 and 5? (Without repetitions)

Now play with restrictions:

How many of these numbers are…

i. Even numbers

ii. Between 2000 and 4000

iii. Divisible by 5

3. Find the number of ways in which 6 boys &

6 girls be seated in a row so that:

I. All the boys sit together

II. All the girls are always together

III. All the girls are never together

IV. Boys & girls sit alternatively

V. No two girls may sit together

4. Find if (, + ): (,) = ∶ .

Concept Puzzle: In how many ways can 9

identical balls be arranged?

5. In how many ways can a team of 11

cricketers be selected from 15 players?

I. Total number of ways (unrestricted)

II. In the team a player named ‘Sachin’ must

always be there

III. If out of 15 players, 7 are batsmen, 6 are

bowlers and 2 are wicketkeepers. In howmany ways the team can be formed

comprising of 5 batsmen, 5 bowlers and 1

wicketkeeper?

IV. If out of 15 players, 7 are batsmen, 6 are

bowlers and 2 are wicketkeepers. In how

many ways the team can be formed

comprising of at least 3 batsmen, at least 3

bowlers and 1 wicketkeeper?

V.

If Sachin is selected to play, Kambli must beselected.

VI. If Sachin is selected, Kambli must be selected

and vice versa.

VII. If Sachin is selected to play, then Kambli

must not be in the team.

VIII. In these questions how do you find the

batting orders

6. There are 3 players of each state, Haryana

Delhi & Mumbai respectively. In how many

ways 3 people can be awarded such that atleast 1 person from each state is awarded.

7. If P(n, r) = 720 and C(n, r) = 120, find r?

8. (i) If a dice is rolled. Then answer the

following:

(a) Probability of getting an even

number?

(b) Probability of getting number

greater than 2 and less than 5?

(ii) If two dices are rolled simultaneously,

Find probability of :

(a) Getting sum greater than 6.

(b) Less than or equal to 6.

9. Find:

i. Probability of getting the card with 9

written on it from a pack of 52 cards?

ii. Probability of getting a jack of spade or

queen of hearts from a pack of 52 cards?

10. If we have to pick 3 balls out of a box

containing 3 yellow and 4 black balls then

find probability that we will get all the balls

of same colour.

11. A dice is thrown twice. What is the

probability that at least one of the two

throws comes up with the number ‘4’?



16/104


CLASS ASSIGNMENT - 8Probability

1. An urn contains three white and two

blackballs. Balls are drawn one by one with

replacement. What is the probability that a black

ball appears at the fourth draw?

(a) 2

5(b)

24

625

(c)54

625(d)

81

625

2. If A and B are two arbitrary events and we

denote by 1=[ ]+[],

2=[ ∩

], then the probability that exactly oneof the events will occur is

(a) 1−2 (b) 1−22

(c) 1+2 (d) 1

3. Two coins with probability of heads p and q,

respectively are tossed independently. If P (both

coins show up tails) = P (both coins show up

heads), then p +q equals

(a)1

4(b)

1

2

(c)3

4 (d) 1

4. Let A and B be two events such that P (B)>0 and

P (A/B) > P ( /B), then

(a) P (A/B) >1

2(b) P (A/B) =

1

2

(c) P (A/B) <1

2(d) P (A/B) =

1

3

5. The minimum number of tosses of an unbiased

coin, necessary to ensure a probability of getting

at least one head, greater than 0.5 is

(a) 1 (b) 2

(c) 3 (d) 4

6. Event S and T are independent with P(S)


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CLASS ASSIGNMENT - 9Sequences and Series, Complex Numbers and Advance Number Systems

Sequences and SeriesConcept Puzzle:

Is number series 1, 2, 3, 4, 5 ….. an arithmetic

progression? Why or Why not?

1. If on 1st January, 20115 you got Rs. 1 , Rs.

2 on the second day, Rs. 3 on the third day

and so on, what will be the amount that

you have on 31st December 2015?

2. If the pth term of an A.P. is ‘q’ and the qth

term is ‘p’, then the rth term is

3. Find four numbers in A.P. whose sum is

20 and the sum of whose squares is 120.

4. If the pth, qth and rth terms of an A.P. are

a, b, c respectively, find the value of a (q-

r) + b(r-p) + c (p-q)

Find the value of: ( ) () … … 5. The first term of a G.P. is 1. The sum of

the third and fifth terms is 90. Find the

common ratio of the G.P.

6. Sum the series to infinity

3

4

-2

5

4

+3

3

4

-4

5

4

+5

3

4

-6

5

4

+…

7. For all 3 digit numbers that leave a

remainder of ‘2’ when divided by 3

(a) Find the number of terms,

(b) Find the sum of number of terms.

8. The sum of first three terms of a G.P. is 16

and the sum of the next three terms is

128. Find the sum of terms of the G.P.

IMPORTANT QUESTION:

Given a series as − − ,and and are and , then find 9. Find the sum to terms of the series

⋯ 10. Find the sum of the series:

…

11. Insert three geometric means between 2

and 32

12. What is the sum of series

√ +√

√ +√

√ +√ ⋯ up to terms

13. Find the value of

∑ =14. Which of the following is Harmonic

Progression?

(a)

2,3,4,5

(b) .

,

,

…

(c) 2,4,5,8(d)

2,4,8,16,32

Complex NumbersIMPORTANT CONCEPTS

What is the cube root of 1?

What is ?1. Find the least positive value of , if

+ −

=1

2. Find real values of x and y for which the

following equalities hold.

QUANTITATIVE APTITUDE CLASS ASSIGNMENT 9 Page 15


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(a) 5, 7 or 6, 7 (b) 8, 9 or 9, 8 (c) 5, 2 or 5, 2 (d) 7, 10 or – 7, 10

1. Convert

into polar form.

2. If , then find the value[ ]

[ ]

⋯ [ ]

Advance Number System

1. Find the remainder of

2. Find the remainder of

3. What is the remainder of! ?

4. What is the reminder of :

!

=

5. How many zeros are there at the end of

100!



19/104


CLASS ASSIGNMENT - 10Sets, Relations & Functions (Part – I)

1. Which of the following is correct?

(a) ⊂ {, }(b) , ⊂ {, , }(c) , ⊂ {, , }(d) None of these

2. Which of the following collection is a set?

(a) The collection of all girls in your class

(b) The collection of intelligent girls in yourclass

(c) The collection of beautiful girls in your

class

(d) The collection of tall girls in your class

3. The set of all subsets of a set A is called

the power set of A and is denoted by

(). If = ,,, then () ?

4. 20 teachers of a school either teach

Mathematics or Physics. 12 of them teach

Mathematics while 4 teach both the

subjects. Find the number of teachers

teaching Physics only.

5. Which of the following is the empty set?

(a) ∶ − 1 = 0 (b) ∶ + 1 = 0

(c) ∶ − 9 = 0 (d) ∶ = + 2

6. Given a relation A from → = (, ) ∶ = + , ≤ ≤ What is the domain, codomain and range

of A?

7. Let = ,,, then the relation =(,),(,),(,) on A is:(a) Reflexive (b) Transitive

(c) Symmetric (d) None of these.

8. Identify the correct match for a function

: → :Type of

functions

Definition

1. Injective

2. Many-one

3. Surjective

4. Bijective

(a)

Every element of

is the

image of some element

of under .(b)

Every element of x

should have a distinct

image in and shouldcover every element of

.(c)

Different element of have different images in

under f .

(d)

If two or more elementsof set have the sameimage in .

9. If a set A contains 4 elements and a set B

contains 8 elements, the maximum

number of elements in ∪ is(a) 4 (b) 12


10. Let = (, )(, ), (, )(,), (,),(, ) (, ), (, ) be a relation onthe set = ,, , . The relationis

(a) Reflexive and transitive

(b) Reflexive only

(c) An equivalence relation

(d) Reflexive and symmetric only



20/104

11. What is a function?

12. What is Domain and codomain for a

function?

13. Is the given graph a continuous function?

14. Identify the domain and codomain of the

given graph:

IMPORTANT CONCEPTS:

What is the difference between

codomain and range?

What are one-one, onto and into

functions?

What are the other names of one-one,

onto and into functions?

15. What is the range and codomain of the

function () = √ .

16. Draw the given functions:

||



21/104


CLASS ASSIGNMENT – 11Sets, Relations & Function (Part – II) , Height and Distances1. Is || continuous, at ≠ ?2. Given: = , =

Find and . Also find − and−.

3. Given: = || , ≠ 0 0 , = 0The point of discontinuity for the above given

function is: ______________

4. The domain of the function = √ 5. The domain of the function =

√ √ 6. Which of the following pair of functions is

identical?

(a) =√

, = (√

)(b)

= , = (c) =log 1 log 2,

=log12 (d) None of these

7. If = , then the value of ⋯ is:

(a) 998

(b)

1

(c) 499

(d) None of these

8. If = +− , ≠ , find the value of (a) 2

(b) 3

(c) 4

(d) 6

9. Let = {, $}, ={ , , , } then thenumber of distinct relations from A to B is

(a) 8 (b) 9

(c) 2 (d) 6

10. In a class test consisting of Maths and

Physics, 80% passed in Maths and 50%

passed in Physics 15% failed in both

subjects. If 180 students passed in both the

subjects how many students failed in both

the subjects?

(a) 80 (b) 60

(c) 90 (d) 50

11. Rohan found that for a function , = and () = , then thefunction =(a) 2 (b) 3 (c) +5 (d) 2

12. If two sets A and B are defined as

= , | = , x ≠ 0, x ∈ ℝ and = {, | = , ∈ ℝ}, then(a) A ∩ B = A(b) A ∩ B = B(c) A ∩ B = ϕ(d) None of these

Height and Distances1. A radio transmitter antenna of height 100 m

stands at the top of a tall building. At a

point on the ground, the angle of elevation

of bottom of the antenna is 45° and that of

top of antenna is 60°. What is the height of

the building?

(a) 100 m (b) 50 m



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(c) 50(√3+1) m (d) 50(√3-1) m

2. The angle of elevation of the top of an

unfinished pillar at a point 150 m from its

base is 30°. If the angle of elevation at the

same point is to be 45°, then the pillar has

to be raised to a height of how many

meters?

(a) 59.4 m (b) 61.4 m

(c) 62.4 m (d) 63.4 m

3. A ladder 25 m long is leaning against a wall

which is perpendicular to the level ground.

The bottom of the ladder is 7 m from the

base of the wall. If the top of the ladder slips

down 4 m, how much will the bottom of theladder slip?

(a) 7 m (b) 8 m

(c) 10 m (d) 15 m

4. The shadow of a pole 6 metre high is 15

metre long and at the same time the

shadow of a tree is 25 metre long. What is

the height of the tree?

(a) 21 m (b) 10 m

(c) 35 m (d) None of the above



23/104


CLASS ASSIGNMENT – 12Limits, Continuity and Differentiation

CONCEPT:

What do you understand by the concept of

limits?

1. Find lim→( 4) 2. Find lim→ −−5+63. limx→

−

−9 is :(a) (b)

(c) 1 (d) -1

4. Find the exact value of → √ −−√ (a)

√ 3(b) 0

(c) √

(d)

The limit does not exist

CONCEPT:

What is the requirement for a function to be

continuous?

5. The given function:

() = { , ≠ , = (a) Is continuous at = 0 (b) Not continuous at

= 0

(c)

Continuous but not differentiable at = 0 (d) Both continuous and differentiable at = 0 6. For what value of k is the given function

continuous?

() = − , ≠ , = _________

7. The points of discontinuity for () = || are(a) 0.±1(b) 1,1(c) 0, 1(d)

0,18. The graph of a function () is shown

below. Which of the following

statements are true of ()?

(i) →− () = 2 (ii) →− () = 1 (iii) →− () does not exist(iv) → () = 1 (v) → () does not exist(a) Only (i) and (iv) are true

(b)

Only I and V are true

(c)

Only II and IV are true

(d)

Only II and V are true

9. Consider again the function g(x) whose

graph is shown in problem 8. Which of

the following statements are true of g(x)?

I. g is continuous at x = -1

II. g is continuous at x = 1

III. g is differentiable at x = -1

IV. g is differentiable at x = 0

V. g is differentiable at x = 1

(a) only I and IV are true



24/104

(b)

only II and IV are true

(c)

only I and V are true

(d)

only II and V are true

10. What is the derivative of:

(a)

(b)

(c)

+ (d) c o s 4

(e)

g (f) e+ w. r.t ′t′ 11. If = In −, then =

(A) − (B) (C)

− (D) 0

12. If a function has the equation ( ), then what is its value at = ?

13. What will be the slope of the line parallel

to the curve at = 14. What will be the slope of the line

perpendicular to the curve

at = 15. Given a curve . Fid its

(a) Minimum Value (b) Maximum

Value

16. The Profit of a company is given by() = . Themaximum profit that the company can

make is:

17. For the graph of f(x) depicted, what is the

value of()

at the point ‘a’?

(a) zero (b) positive

(c) Negative (d) None of these



25/104


CLASS ASSIGNMENT – 13Co-ordinate Geometry, Integration

Co-ordinate Geometry

1. The equation of the line through the point of

intersection of 3x-y-1=0 and x-3y+5=0,

passing through the point (1,5) is

(a) 2x-y+5=0 (b) 2x+y+5=0

(c) x+y=0 (d) x=1

2. The points (0,8/3), (1,3) and (82,30) are the

vertices of

(a) An obtuse-angled triangle

(b) A right-angled triangle

(c) An isosceles triangle

(d) None of these

3. The line segment joining (-3,-4) and (1,-2) is

divided by y-axis in the ratio

(a) 1: 3 (b) 2: 3 (c) 3: 1 (d) 3: 2

4. The locus of the point, the sum of whose

distances from the coordinate axes is 9 is

(a) = 9 (b) = 9(c) = 9 (d) None of these

5. The equation of the line passing through the

point (1,1) and perpendicular to the 3x+4y-

5=0 is

(a) 3x+4y-7=0 (b) 3x+4y+k=0

(c) 4x-3y+1=0 (d) 4x-3y-1=0

6. The centroid of a triangle formed by (7,p),(q,-

6),(9,10) is (6,3), then (p,q)=

(a) (4, 5) (b) (5, 4)

(c) (-5,-2) (d) (5, 2)

7. The base vertices of a right angled isosceles

triangle are (2,4) and (4,2) then its third vertex

is

(a) (1, 1) or (2, 2) (b) (2, 2) or (4, 4)

(c) (1, 10) or (3, 3) (d) (2, 2) or (3, 3)



26/104

Integration

1. ∫ =(a) (b) (c) (d) log

2. ∫ dx is equal to.(a) cotx-tanx+c (b) cotx+tanx+c

(c) –cotx+tanx+c (d) –cotx-tanx+c

3. If ∫ + = ,then

(a) a = 4 , =arbitrary constant(b) a =

4 , =arbitrary constant

(c) a =

, =arbitrary constant

(d) None of these

4. ∫

+ is equal to(a) tan− (b)

6 tan

− (c) tan

− (d)

tan

−

5. ∫ √ dx is equal to:(a) √ +A(b)

√ (c) 2(√ 1)√ (d)2(√ 1)√ , A is an arbitraryconstant

6. ∫ +

+

dx is equal to

(a) x−++C

(b)

x−++C

(c)

x+−+C

(d) None of these

7. ∫ +−+dx is equal to

(a)

−

− 4 ⃓

+−⃓

(b)−

−

− 4 ⃓

+−⃓

(c) −− − 4 ⃓ +−⃓ (d) None of these

8. ∫ −

+ dx is equal to

(a) x+logx+log

1-tan− (b) x-logx+

log

1-tan− (c) x-logx-

log

1-tan− (d) None of these

9. I=∫ +

−dx is equal to:

(a) sin

− √ 1 (b)

sin

− √ 1 (c)

[3sin

− √ 1 ] (d)

sin

− √ 1

10. ∫ + = (a)

4

(b)

log 1

(c)

log 1

(d)

+



27/104


CLASS ASSIGNMENT – 14Mensuration / Matrices / Determinants

1. If [ − − − − − ] = [ − − − − ]

Find the values of a, b, c, x, y and z

2. State True / False

(a) The value of determinant is changed if

rows & column and interchanged

(b) If any two rows & column are

interchanged, then the value of

determinant changes by minus sign

only.

(c) If any two rows & Column are identical

then value of determinant is equal to 1.

(d) If each element of row (column) are

zero, the determinant is also equal to 0.

3. Construct a × matrix = whoseelements are given by +

4. If A & B are two matrices then which of the

following is true?

(a)

(

)

= (b) ( ) = , A and B being of same order.(c) () = , K be any scalar(d) ( ) = . (e) All of these

5. Show that the points ( , ), ( , ) and( ,) are collinear.6. State true or false:

(a) All zero matrix are equal.

(b) All diagonal matrix are square matrix

(c) All identity matrix are scalar matrix

(d) If product of two matrix is zero matrix

then one of the matrix must be 0.

7. If A, B and C are matrices with orders 3x3, 2x3

and 4x2 respectively, how many of the following

matrices are defined?

(i) 6B (ii) A +B (iii) 3BT+ C (iv) AB

(v) BTA (vi) (CB)T

(vii) CBA

8. Find area of shaded region. (Take = 22/7)

9. The length of a room is double the breadth. The

cost of colouring the ceiling at Rs. 25 per sq.m is

Rs 5,000 and the cost of painting the four walls at

Rs. 240 per sq. m is Rs. 64,800. Find the height of

the room.

10. A well of 11.2 m diameter is dug 8m deep. The

earth taken out has been spread all around it to a

width of 7 m to form a circular embankment. Find

the height of this embankment?

11. What is the value of:

(i) Interior angle and

(ii) Exterior angle of a regular decagon?

12. Find the value of AB in the following figure:

Here,

= , = , =

13. What is the value of ‘x’ in the following figure?

Given, ∠ = ° KL is the diameter.

14. In a triangle ABC, O is the center of incircle PQR,

BCA = 75° and BAC = 65°, find ROQ:

14

r

DA

C B

P

3 6 4

K

L

N

O

M 60°


28/104


CLASS ASSIGNMENT – 15Vector & 3-D

Vector

1. Vectors (p,q) and (5,1) are parallel if

(a) pq=5 (b) q=5p

(c) p+q=5 (d) p=5q

2. If a,b,c are three vectors such that a+b=c, then

b is called.

(a) a projection of c

(b) a complement of c

(c) a component of c

(d) None of these

3. If a=(1,-1) and b=(-2,m) are two collinear

vectors, then m=

(a) 4 (b) 3 (c) 2 (d) 0

4. If a and b are two non-zero and non-colliners

vectors, then a+b and a-b are

(a) linearly dependent vectors

(b) linearly independent vectors

(c) linearly dependent and independent vector

(d) None of these

5. If i+2j+3k is parallel to the sum of vectors

3i+ j+2k and -2i+3j+k, then is equal to:(a) 1 (b) -1

(c) 2 (d) -2

6. If the point A,B,C and D have position vectors

a,2a+b,4a+2b and 5a+4b respectively. Then

the three collinear points are

(a) A, C and D (b) B, C and D

(c) A,B and C (d) A,B and D

7. The vector ⃗ = ̂+4 is to be written as

the sum of a vector ⃗ parallel to ⃗ = i+j

and a vector ⃗ perpendicular to ⃗ . Then⃗ =

(a)

( ̂̂ )

(b) ( ̂̂ )

(c)

( ̂̂ )

(d)

( ̂̂ )

8. If vectors a +̂2b +̂a and (2b-c) ̂+(3a+c) ̂+b are parallel, then unit vector in theirdirection is

(a)

√ 7(2̂ 3̂ 2)

(b)

√ (̂ 2̂ ) (c)

√ (̂ 3̂ )

(d)

(2̂ ̂ 2)

9. If the version ̂ ̂ and ̂ ̂ are orthogonal to each otherthen the locus of the point (x,y) is

(a) A circle (b) an ellipse

(c) A parabola (d) a straight line

10. The projection of the vector ̂ ̂ on the vector ̂ ̂ is

(a) √

(b) 2

(c)√

(d)



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3-D

1. If ,, are the angles which a half ray makeswith the positive directions of the axes, then

(a) 1 (b) 2

(c) 0 (d) -1

2. The point equidistant from the points

(0,0,0),(1,0,0),(0,2,0) and (0,0,3) is

(a) (1, 2, 3) (b) (

, 1,

)

(c) (

,1,

) (d) none of these

3. The distance of the point (1, 2, 3) from the

coordinate axes are A, B and C respectively.Now consider the following equations.

1. =

2. = 2

3. 2 = 13

(a) 1 only (b) 1 & 3

(c) 1 & 2 (d) 2 & 3

4. The ratio in which the join of (2,1,5) and

(3,4,3) is divided by the plane (x+y-z)= 1/2 is

(a) 3:5 (b) 5:7

(c) 1:3 (d) 4:5

5. The direction ratio of the line OP are equal

and the length OP=√ . Then the coordinatesof the point P are

(a) (-1,-1,-1) (b) (√ 3, √ 3, √ 3)

(c) (√ 2, √ 2, √ 2) (d) (2, 2, 2)

6. If a line makes angles

°and

° with x-axis

and y-axis respectively, then the angle which

this line subtends with z-axis is

(a) 35° (b) 45° (c) 55° (d) 90°

7. If A=(1,2,3), B=(-1,0,2), C=(1,-1,2) and D is the

foot of the perpendicular from A on BC. Then

BD:

(a) 3:2 (b) 2:3

(c) 3:1 (d) 1:3

8. The circumcentre of the triangle formed by

the points (1,0,0), (0,1,0) and (0,0,1) is

(a) the origin (b) (1,1,1)

(c) (

,

,

) (d) (-1,-1,-1)

9. The angle between the lines (x=1,y=2) and

(y=-1,z=0) is

(a) 90° (b) 30°

10. The angle between the lines whose directionratios are 1,1,2 and √ -1,-√ -1,4 is(a) 45° (b) 30° (c) 60° (d) 90°

11. The angle between the straight lines+

=

−

=

+

and

−

=

+

=

−

− is

(a) 45° (b) 30° (c) 60° (d) 90°

12. The coordinates of A,B,C,D are (3,5,-3), (2,3,-

1), (1,2,3) and (3,5,7) respectively. Then

(a)

AB is perpendicular to CD

(b)

AB is parallel to CD

(c)

The angle between AB and CD is /3(d)

The angle between AB and CD is 2/3

13. The angle between a line with direction

ratios 2:2:1 and a line joining (3,1,4) to

(7,2,12) is

(a) cos−(

) (b) cos−(

)

(c) −(

) (d) none of these

14. The angle between the lines whose direction

cosines satisfy the equations

L+m+n=0 and 2lm+2nl-mn=0 is

(a) 60° (b) 90° (c) 120° (d) 150°



30/104

LOGICAL REASONING CLASS ASSIGNMENT - 1Logical Venn Diagrams, Venn Diagrams, Seating Arrangement

Logical Venn DiagramsThese questions are based on the following

figures.

Study the figures carefully and then answer the

questions given below it.

(a) (b)

(c) (d)

(e)

1. Mothers, Women, Divorcees

2. Historian, Scientist, Economist

3. Travelers, Train travellers, Bus travellers

4. Donkey, Pet, Horse

Venn Diagrams

1. In a certain region, the number of children who

have been vaccinated against rubella is twice

the number who have been vaccinated against

mumps. The number who have been

vaccinated against both is twice the number

who have been vaccinated only against mumps.

If 5,000 have been vaccinated against both,

how many have been vaccinated only against

rubella?

(a) 2,500 (b) 7,500

(c) 10,000 (d) 15,000

(e) 17,500

2. In a class test consisting of mathematics and

physics, 80% passed in mathematics and 50%

passed in physics. 15% failed in both the

subjects. If 180 students passed in both the

subjects, how many failed in both the subjects?

(a) 80 (b) 60

(c) 90 (d) 50

Direction for Questions 3 to 5: Answer the

questions based on the following information.

Data on the 468 students, who took an

examination Chemistry, Physics and

Mathematics, is as follows:

Passed in all the subjects 197

Failed in all the subjects 70

Failed in Chemistry 170

Failed in Physics 210Failed in Mathematics 192

Passed in Chemistry only 64

Passed in physics only 51

Passed in Mathematics only 46

3. How many failed in Chemistry only?

(a) 84 (b) 49

(c) 3 (d) 100

4. How many failed in one subject only?

(a) 40 (b) 161(c) 237 (d) 70

5. How many passed in at least one subject?

(a) 197 (b) 398

(c) 70 (d) 271

6. 30% people of Saharanpur like cold weather,

40% like summer, 55% like autumn. 18% like

cold and summer, 20% like summer and

LOGICAL REASONING CLASS ASSIGNMENT - 1 Page 28


31/104

autumn, 12% like cold and autumn. 10% like all

three weathers.

(a) How many like none of the weathers

(b) How many like only cold

(c). How many like only cold and summer.

(d). How many like cold and autumn.

(e). How many like atleast one(f). How many like only one

(g). How many like at least two.

7. One hundred and twenty-five aliens descended

on a set of film on extra-terrestrial beings. Of

these, 40 had two noses, 30 had three legs, 20

had four ears, 10 had two noses and three legs,

12 had three legs and four ears, 5 had two

noses and four ears, and 3 had all the three

unusual features. How many were there

without any of these unusual features?(a) 5 (b) 35


8. There are two types of employees in Sun

Metals, general graduates and engineers. 40%

of the employers in Sun Metals are general

graduates and 75% of the engineers earn more

than Rs 5 lakhs per year. If 50% of the

organization’s employees earn more than 5

lakhs per year, what proportion of general

graduates employed by the organization earn

Rs 5 lakhs or less? (a) 3/5 (b) 3/4

(c) 1/2 (d) none of these

9. Of 30 students who took the GMAT, 14 had

been out of school for at least 3 years, 18 had

business degree, 3 had been out of school for

less than 3 years and did not have business

degrees. How many students had been out of

school for at least 3 years and had degrees in

business

(a) 14 (b) 13(c) 9 (d) 7

(e) 5

Seating ArrangementLinear Arrangement

Direction for questions 10 to 12: Read thefollowing information carefully and answer the

questions given below:

(i) A, B, C, D, E, F, G and H are standing in a row

facing North.

(ii) B is not adjacent to G.

(iii) F is to the immediate right of G and is also

adjacent to E.

(iv) G is not at either extreme.

(v) A is sixth to the left of E.

(vi) H is sixth to the right of C.

10. Who among the following are not adjacent to

each other?

(a) AC (b) DG

(c) FH (d) CB

11. Which one among the following defines the

position of D?

(a) Fifth to the left of H

(b) Third to the right of C

(c) Neighbour of B and E

(d) To the immediate right of B.12. Which of the following is true?

(a) C is to the immediate left of A

(b) G is to the immediate Right of D

(c) Both (a) and (b)

(d) None of these

There are ten lights in a row on a control board.

The lights are numbered—1 to 10—in sequence

from left to right. Each light is either on or off.

The following is also known:

No two consecutively numbered lights are on.No three consecutively numbered lights are off.

Exactly four of the ten lights are on.

Light 3 is off.

13. If light 4 is off, which of the following must be

true?

(a) Light 1 is on (b) Light 2 is off

(c) Light 5 is off (d) Light 6 is off

(e) Light 7 is on



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14. If lights 9 and 10 are off, which of the following

must be true?

(a) Light 1 is on (b) Light 2 is off

(c) Light 4 is on (d) Light 5 is on

(e) Light 6 is off

15. If light 6 is on and light 8 is off, for how many of

the lights can on-off status be determined?

(a) 4 (b) 5

(c) 6 (d) 7

(e) 8

Circular Arrangement

Direction for Q.16 to Q.18: Six friends Ajay,

Rohit, Sony, Donald, Mickey and Tom are

sitting around a circular table facing the center?

1. Tom is sitting in between Mickey and Ajay.

2. Sony is sitting in between Ajay and Rohit.3. Mickey is on left of Donald.

16. Who is sitting to the left of Rohit?

(a) Ajay (b) Sony

(c) Donald (d) Mickey

(e) None of these

17. Which person is sitting to the right of Sony?

(a) Ajay (b) Rohit

(c) Donald (d) Mickey

(e) Tom

18. Which of the condition if removed will doesn’t

effect to solve earlier questions?

(a) 1 (b) 2

(c) 3 (d) All of these

(e) None of these

Direction for Q.19 to Q.22: Six men are sitting

around a round table facing its centre. They are

A, B, C, D, F and G. F is not between B and D but

some other one. A is next to the left of G, C is

fourth to the right of A

19. Which of the following is NOT true?(a) D is just next to the right of C

(b) F is just next to the right of G

(c) C is second to the left of F

(d) A is second to the right of C

20. If A and C interchange their positions then

which of the following pair will sit together?

(a) CF (b) AG

(c) GC (d) BG

21. What is the position of F?

(a) Just next to the right of B

(b) Second to the left of A

(c) Between B and C

(d) To the immediate right of G

22. Which one is sitting diagonally opposite to G?

(a) B or D (b) C

(c) F (d) A



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LOGICAL REASONING CLASS ASSIGNMENT - 2Syllogism, Series, Data Interpretation - I

SyllogismTreat the statement(s) to be true and verify

the conclusions for the following:

1. Statement 1: All jets are fast.

Statement 2: All fast are exciting.

Conclusion 1: All jets are exciting.

Conclusion 2: All exciting are jets.

Conclusion 3: Some exciting are jets.


Statement 2: All jets are exciting.

Conclusion 1: All fast are exciting.

Conclusion 2: All exciting are fast.

Conclusion 3: Some fast is exciting.


Statement 2: Some fast is exciting

Conclusion 1: Some exciting are fast.


Conclusion 3: All exciting are fast.

Conclusion 4: Some fast is jet.

4. Statement 1: Some jets are fast.

Statement 2: Some fast is exciting.

Conclusion 1: Some exciting are fast.


Conclusion 3: All exciting can be fast.

5. Statement 1: Some jets are fast.

Statement 2: No fast is exciting.

Conclusion 1: No jet is exciting.

Conclusion 2: Some jets are not exciting.

Conclusion 3: Some exciting are not jets.



Conclusion 1: No jet is exciting.

Conclusion 2: No exciting is jet.


Statement 2: No jet is exciting.

Conclusion 1: No exciting is a fast.

Conclusion 2: No exciting is jet.

Conclusion 3: Some fast are not exciting.

Conclusion 4: Some exciting are not fast.

8. Statement 1: No jet is fast.


Conclusion 1: No jet is emotion.

Conclusion 2: Some jets are not exciting.

Conclusion 3: Some jets are exciting.

Practice Exercise

9. Statements:

(i) All knives are hammers.

(ii) No hammer is sword.

(iii) Some swords are nails.

Conclusions:

I. Some nails are hammers.

II. Some swords are knives

III. No nail is hammer.

Chose the correct option:

(a) None follow(b) Only either I or III follow

(c) Only II follow

(d) Only III follow

(e) Only I follow

10. Statements:

(i) All hills are roads.

(ii) All roads are stones.

(iii) All stones are jungles.

(iv) All jungles are rivers.

Conclusions:I. Some rivers are stones.

II. Some Jungles are hills.

III. Some stones are hills.

IV. All rivers are jungles.


(a) Only I and II follow

(b) Only II and III follow

(c) Only I, II and III follow



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(d) Only II, III and IV follow

(e) All follow

11. Statements:

(i) Some apple is bat.

(ii) No bat is cap.

Conclusions:

(i) Some apple is cap.

(ii) No apple is cap.


(a) Only (i) follows

(b) Only (ii) follows

(c) Either (i) or (ii) follows

(d) None follows

12. Statements:

(i) All drivers are mechanics.

(ii) All mechanics are cleaners

Conclusions:

(i) All cleaners are drivers.

(ii) Some drivers are mechanics.

(iii)

All drivers are cleaners.

(iv)

Some cleaners are mechanics.


(a) All conclusions follow

(b) Only (ii) (iii) (iv) follow

(c) Only (iii) (iv) follow

(d) Only (ii) (iii) follow

13. Statements:

Some elephants are rats. All rats are flowers.

Some flowers are not elephants.

Conclusions:

(I)

Some flowers are elephants.

(II)

All elephant are flowers.

(III)

All rats are elephants

(IV) No flower is an elephant

Chose the correct option

(a) Only I follows

(b) Only I and II follow

(c) Only II and III follow

(d) None follows

14. Statements:

All pens are papers. All papers are aeroplanes.

All aeroplanes are skies.

Conclusions:

(I)

All pens are skies

(II) All skies are papers

(III) All aeroplanes are pens

(IV)

All papers are skies


(a) Only I follow

(b) Only I and III follow

(c) Only I and IV follow

(d) Only III and IV

SERIESNumeric Series

1. 2, 4, 7, 11, 16, 22, __

2. 720, 504, 336, 210, __

3. 86, 78, 87, 77, 88, ___ , ____

4. 21, 15, 6, 25, 11, 3, 29, 7, 0, __

5. 1, 5, 17, 37, 65, ___

6. 2, 6, 12, 20, 30, 42, ____

7. 0, 6, 24, 60, 120,8. 11, 41, 161, 641 _____

9. 5, 15, 60, 300, ____

10. 3505, 700, 135, ___

Alphabet and Alphanumeric series

1. A, Z, B, Y, C, X, D, __

2. E5V, J10Q, O15L, T20G, Y25B___

3. ND, IY, DT, YO, TJ,__

4. abb _ baa _ a _ bab _ aba

(a) abba (b) abab

(c) ccac (d) aabb

Practice Questions

1. 3, 8, 11, 19, 30, 49, __

2. 0, 2, 3, 10, 15, 26, 35, 50, 63, __

3. 2, 7, 20, 61, 182, 285__

4. RQP, ONM, LKJ, __ , FED

5. -3, -2, 5, 24, 61, 122, ____

6. 36, 9, 27, 6, 21, 3, ___

7. 0, 0, 4 , 18, 48, 100, 180, __



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1. How many companies have the same

rank by sales, and by profit (if arranged

in their decreasing order) in the last year

for which data is available?

(a) None (b) 1

(c) 2 (d) 3

2. If the companies are arranged on thebasis of total assets in decreasing order

in 2000-01 and similar lists are prepared

based on sales and profit parameters

also for the same year, how many

companies will be among top ten in all

the three lists?

(a) 6 (b) 7

(c) 8 (d) 9

3. Which of the following statements is not

true?

(a)

All the companies which have decline

in sales in 2001-02 have experienced

decline in the profit also.

(b) Top two companies by avg mkt cap

(AMC) have combined AMC

exceeding 25 times combined AMCof bottom two companies by this

parameter.

(c) In 2001-02, 13 companies saw their

sales as well as profit going up.

(d)

There are 5 companies with total

assets exceeding 1000 lakh in 2000-

01.

Data Interpretation - I

Directions for Q1 to Q 3 : Study the data of 19 companies and answer the questions (all figures in Rs. Crore)



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Post Class Assignment

Question 1-10

In each question, three (or two) statements

are followed by four conclusions I, II, III, IV.

You have to take the given statements to betrue even if they appear to be at variance

with commonly known facts, and then

decide which of the conclusions logically

follow(s) from the given statements. For

each question, mark out an appropriate

answer choice that you think is correct.

1. Statements

1. All small are books.

2. Some books are windows.

3. No windows is pencil.

Conclusions:

I. Some windows are small.

II. Some books are pencils.

III. No window is small.

IV. Some books are not pencils.


(a) I and either II or IV follow

(b) I, III and IV follow

(c) I, II and III follow

(d) IV follows.

2. Statements:

1. Some blacks are Canadians.

2. Some Indian are black.

3. No Indian is white.

Conclusions:

I. Some Canadians are Indian.

II. Some whites are blacks.

III. Some whites are not black.

IV. Some blacks are not whites.


(a) I and IV follow.

(b) II and III follow.

(c) Only III follow.

(d) Only IV follow.

3. Statements:

1. All goats are boxes.

2. Some goats are flowers.

3. No chocolates are boxes.

Conclusions:

I. Some flowers are chocolates.II. No goats are chocolates.

III. Some flowers are boxes.

IV. Some flowers are not chocolates.


(a) II, III and IV follow

(b) I, III and IV follow.

(c) Only II and III follow

(d) Only III and either I or IV follow

4. Statements:

1. Some cookies are papers.

2. All papers are chocos.

3. Some chocos are trams.

Conclusions:

I. Some cookies are trams.

II. Some papers are trams.

III. Some trams are papers.

IV. Some chocos are cookies.


(a) Only II and III follow

(b) I and IV follow(c) Only IV follows

(d) II, III and IV follow

5. Statements:

1 No foods are mangoes.

2. No oranges are potatoes.

3. All mangoes are oranges.

Conclusion:

I. Some foods are not oranges.

II. Some oranges are not foods.

III. No mangoes are potatoes.IV. Some oranges are foods.


(a) Only III and I follow

(b) Only II and IV follow

(c) Either II or IV follow

(d) Only II and III follow.

6. Statements:

1. All coats are paints.



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2. No paints are shirts.

3. Some shirts are vests.

Conclusions:

I. Some vests are not shirts.

II. Some coats are shirts.

III. No coat is a shirt.

IV. Some vests are not coats.


(a) I, II and III follow

(b) I and IV follow.

(c) I and III follow

(d) III and IV follow.

7. Statements:

1. All boxes are tables.

2. No desks are tables.

3. Some desks are curtains.

Conclusions:

I. No boxes are desks.

II. Some boxes are desks.

III. Some curtains are not boxes.

IV. Some curtains are boxes.


(a) III and either I or II follow

(b) I and either III or IV follow

(c) Either I or II and either III or IV follow

(d) I and III follow

(e) None of the above

8. Statements:

1. Some trees are sharks.

2. Some sharks are balloons.

Conclusions:

I. All balloons are sharks.

II. All balloons are trees.

III. Some trees are balloons.

IV. No tree is a balloon.


(a) Only I follows

(b) Only II and III follow

(c) Only either I or III follows

(d) Only either I or IV follows

(e) Only either III or IV follows

9. Statements:

1. Some stars are birds.

2. No birds are elephants.

Conclusions:

I. Some stars are not elephants.

II. All stars are elephants.

III. Some elephant are not stars.

IV. All elephants are stars.


(a) Either I or II and either III or IV follow

(b) Only I follows

(c) Either III or IV follows

(d) I and III follow

(e) I and either III or IV follow

10. Statements:

1. Some copies are desks.

2. No desks are pens.

Conclusions:

I. Some copies are pens.

II. Some copies are not pens.

III. Some pens are desks.

IV. Some pens are not desks.


(a) Only II follows

(b) II and III follow

(c) Either I or II follows

(d) II and IV follow

(e) Either III or IV follows



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LOGICAL REASONING CLASS ASSIGNMENT – 3Analytical Reasoning, Data Interpretation - II

Analytical ReasoningDirections: Read the text and the statements

carefully and answer the questions.

A. Four people of different nationalities live on

the same side of a street in four houses, each of

different colour. Each person has a different

favourite drink. The following additional

information is also known:

(i) The Englishman lives in the red house.

(ii) The Italian drinks tea.

(iii)

The Norwegian lives in the first house on the left(iv) In the second house from the right, they drink

milk

(v) The Norwegian lives adjacent to the blue house.

(vi) The Spaniard drinks fruit juice

(vii) Tea is drunk in the blue house.

(viii) The white house is to the right of the red house.

1. Milk is drunk by:

(a) Norwegian (b) Englishman

(c) Italian (d) None of these

2. The Norwegian drinks:

(a) Milk (b) Cocoa

(c) Tea (d) Fruit Juice

3. Which of the following is not true?

(a) Milk is drunk in the red house

(b) Italian lives in the blue house

(c) The Spaniard lives in a corner house

(d) The Italian lives next to the Spaniard

B.

P, Q, R, S live together in a house(i) P lives with his/her parents

(ii) Q lives with at least 3 persons younger than

him/her

(iii) S lives with his mother, and is older than at least

2 people living with him

(iv) R lives with his/her son and is not older than S

4. Total number of persons in the house is

(a) 3 (b) 4

(c) 5 (d) 6

5. Q is P’s

(a) Father (b) Mother

(c) Son (d) Grandmother

6. S is P’s

(a) Brother (b) Father

(c) Mother (d) Sister

7. R is Q’s

(a) Daughter (b) Son

(c) Grandson (d) Daughter- in- Law

8. R is S’s

(a) Wife (b) Son

(c) Husband (d) Daughter

C.

Six scientists A, B, C, D, E and F are to present a

paper each at a one-day conference. Three of

them will present their paper in the morning

session before the lunch break while the other

three would present it in the afternoon session.

The lectures have to be scheduled in such away that they comply with the following

restrictions

(i) B should present his paper immediately before

C’s presentation; their presentations cannot be

separated by the lunch break

(ii) D must be either the first or the last scientist to

present his paper

9. In case C is the fifth scientist to present his

paper then B must be

(a) First (b) Second(c)Third (d) Fourth

10. B could be place in any of the places in the

order of presenters EXCEPT

(a) First (b) Second

(c) Third (d) Fourth

11. In case F is to present his paper immediately

after D presents his paper, then C could be



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scheduled for which of the following places in

the order

(a) Second (b) Third

(c) Fourth (d) Fifth

12. In case F and E are fifth and sixth presenters

respectively then which of the following mustbe true?

(a) A is first in the order

(b) A is third in the order

(c) A is fourth in the order

(d) B is first in the order

D.

A whole seller dealing in readymade garments

sent a consignment of two brands of shirts to a

retailer by goods train. However, the

consignment was tampered in transit and the

retailer refused to accept it. Meanwhile, wholeseller also lost the details of consignment in a

fire in his accounting office. Later on only

following data about number of T-shirts sent

could be recovered:

A frenetic search for more data revealed the

following facts about consignment:*60% of the shirts were of size Large or Extra

Large

*Brand B shirts formed 45% of the consignment

*50% of Brand A shirts were of Medium size

13. What percentage of the Brand B shirts are of

size ‘L’?

(a) 37% (b) 25%

(c) 50% (d) 33%

14. What percentage of Large size shirts belong to

Brand A?

(a) 49% (b) 42%

(c) 52% (d) 30%

15. How many Brand ‘A’ shirts are of Large size?

(a) 91 (b) 94


SELECTION BASED ON GIVEN CONDITIONS

E. Direction: Shahrukh Khan in Chak De!! wants to

build a composite team of six members for next

Olympics. He has with him six men (Dhanraj,

Deepak, Deevesh, Ramandeep, Mohd. Riaz, and

Barla) and five girls (Bindia Naik, Nethra Reddy,

Preeti Sabharwal, Komal Chautala and Vidya

Sharma).

Following things need to be taken care of:

1. Dhanraj and Ramandeep have to be

together.

2. Deevesh will not like to be in a team with

Komal Chautala.

3. Komal Chautala and Vidya Sharma have to be

together.

4. Deepak does not like to be in team with

Mohd. Riaz.

5. Ramandeep will not like to go with BindiaNaik.

6. Deepak and Preeti Sabharwal have to be

together.

7. Deevesh and Nethra Reddy have to be

together.

16. If Sharukh Khan chooses five males in team,

then which fortunate lady got into the team?

(a) Bindia Naik (b) Nethra Reddy

(c) Preeti Sabharwal (d) Komal Chautala

(e) None of these

17. If including Bindia Naik, the team has three

ladies, then how is the team composed?

(a) Deepak, Deevesh, Barla, Nethra Reddy &

Preeti Sabharwal

(b) Dhanraj, Ramandeep, Mohd. Riaz, Komal

Chautala, Vidya Sharma

(c) Dhanraj, Ramandeep, Deepak, Komal


(d) Deepak, Barla, Preeti Sabharwal, Komal


(e) None of these

18. If including Deevesh the team has four male

members, then what are the other members of

the team?

(a) Dhanraj, Ramandeep, Deepak, Nethra Reddy,

Preeti Sabharwal

(b) Dhanraj, Ramandeep, Mohd. Riaz, Bindia

Naik, Nethra Reddy



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(c) Barla, Ramandeep, Mohd. Riaz, Dhanraj,

Nethra Reddy

(d) Deepak, Mohd. Riaz, Barla, Preeti Sabharwal,

Nethra Reddy

(e) None of these

19. If four members of the team have to be girls,then the members of the team are?

(a) Dhanraj, Barla, Komal Chautala, Bindia Naik,

Nethra Reddy, Preeti Sabharwal

(b) Deepak, Bindia Naik, Ramandeep, Nethra

Reddy, Komal Chautala, Vidya Sharma

(c) Deepak, Komal Chautala, Vidya Sharma,

Deevesh, Nethra Reddy, Preeti Sabharwal

(d) Deepak, Barla, Komal Chautala, Bindia Naik,

Vidya Sharma, Preeti Sabharwal

(e) None of these

COMPARISON TYPE QUESTIONS

F. Direction: Five brands- Tata, Maruti, Honda,

Hyundai and General Motors are to be rated.

1. Tata is rated higher than Maruti but rated

lower than General Motors.

2. Honda is rated lowest.

3. Hyundai is rated higher than Maruti and little

lower than Tata.

20. Which brand is rated the highest?

(a) Tata (b) Maruti

(c) Honda (d) Hyundai

(e) General Motors

21. Which brand was rated in the middle?

(a) Tata (b) Maruti


(e) General Motors

22. Which brand is rated second?

(a) Tata (b) Maruti


(e) General Motors

23. Which brand is rated at the fourth place?

(a) Tata (b) Maruti


(e) General Motors



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Data Interpretation - II

The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a

book. Study the pie-chart and the answer the questions based on it. Various Expenditures (in

percentage)

1. If for a certain quantity of books, the

publisher has to pay Rs. 30,600 as printing cost,

then what will be amount of royalty to be paid

for these books?

(a) Rs. 19,450 (b) Rs. 21,200

(d) Rs. 22,950 (d) Rs. 26,150

2. What is the central angle of the sector

corresponding to the expenditure incurred on

Royalty?

(a) 15º (b) 24º(c) 54º (d) 48º

3. The price of the book is marked 20% above

the C.P. If the marked price of the book is Rs.

180, then what is the cost of the paper used in

a single copy of the book?

(a) Rs. 36 (b) Rs. 37.50

(c) Rs. 42 (d) Rs. 44.25

4. If 5500 copies are published and the

transportation cost on them amounts to Rs.

82500, then what should be the selling price of

the book so that the publisher can earn a profit

of 25%?

(a) Rs. 187.50 (b) Rs. 191.50

(c) Rs. 175.00 (d) Rs. 180.00



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LOGICAL REASONING CLASS ASSIGNMENT – 4Data Sufficiency, Family Relations, Coding-Decoding, DI –III

Data sufficiencyDirection for Q. 1-10: Each of the following

consists of a question and two statements

numbered I and II given below it. You have to

decide whether the data provided in the

statements are sufficient to answer the

question. Read both the statements and give

the answer.

(a) Statement (I) alone is sufficient, but

statement (II) alone is not sufficient.

(b) Statement (II) alone is sufficient, but

statement (I) alone is not sufficient.

(c)

Both statements together are sufficient, but

neither statement alone is sufficient.

(d) Each statement alone is sufficient.

(e) Both statements are insufficient.

1. At Delhi Metro Rail Corporation, the average

age of an executive employee is 50 years and

the average age of non-executive employee is

30 yrs. What is the average age of the

employees at Delhi Metro Rail Corporation?

(I) There are 100 executive employees.

(II)

The number of non-executive employees is20 times the number of executive

employees.

2. Among five boys A, B, C, D, E who is the

youngest?

(I) D is younger to both A and C

(II) B is elder to E but younger to D

3. If Sanya’s age is exactly twice of Peter’s age,

what is Sanya’s age?

(I)

Four years ago, Sanya’s age was exactly threetimes Peter’s age.

(II) Eight years from now, Sanya’s age will be

exactly 1.5 times Peter’s age.

4. On a straight road, car X and Y are traveling at

different constant rates. If car X is now 2 km

ahead of car Y, how much time for now will car

X be 4 km ahead of car Y?

(I) Car X is travelling at 45 km/hr and car Y is

traveling at 30 km/hr

(II) 6 minutes ago, car X was ½ km ahead of car

Y.

5. What are the values of X and Y

(I) Y is an even integer, X is an odd integer and X

is greater than Y

(II) Product of X and Y is 30

6. Is x 0

(II) < 0

7. The symbol represents one of the following

operations: addition, subtraction,

multiplication, or division. What is the value of

3 2?

(I) 0 ∇ 1=1

(II) 1 ∇ 0=1

8. How much did a certain telephone call cost?

(I)

The call lasted 53 minutes.(II) The cost for the first 3 minutes was 5 times

the cost for each additional minute.

9. If n is a positive integer; is odd?

(I) 3 is odd

(II) + 3 is even

10. A total of 9 women and 12 men reside in the 21

apartments that are in a certain apartment

building, one person to each apartment. If a

poll taker is to select one of the apartments atrandom, what is the probability that the

resident of the apartment selected will be a

woman who is a student?

(I) Of the women, 4 are students.

(II) Of the women, 5 are not students



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Family Relationship

Type 11. X introduces Y saying, ‘he is the husband of the

granddaughter of the father of my father’. How

is Y related to X.

(a) Husband (b) Brother

(c) Brother in law (d) Data insufficient

2. Deepak said to Nitin, “That boy playing the

football is the younger of the two brothers of

the daughter of my father’s wife”. How is the

boy playing football related to Deepak?

(a) Brother (b) Cousin

(c) Brother in Law (d) data insufficient

3. Ravi introduced X as “X is the grandson of the

paternal grandfather of my son’s son”. How is X

related to Ravi?

(a) Grandson

(b) Some other distant relation

(c) Neither a nor b

(d) a or b

Type 2Read the following information carefully and

answer the questions that follow:

P & Q means P is the father of Q.

P * Q means P is the sister of Q.

P + Q means P is the brother of Q.

P - Q means P is the mother of Q.

P % Q means P is the son of Q.

P = Q means P is the daughter of Q.

1. Which of the following choices mean that X is

the maternal uncle of Z?

(a) X % Y – Z (b) X = Y % Z

(c) X + Y – Z (d) X * Y + Z

2. Which of the following means that X is the

nephew of Z?

(a) X – Y % Z (b) X + Y * Z

(c) X % Y – Z (d) X % Y * Z

Coding- Decoding1. The code ‘TABLESTESF’ stands for the word

‘BELONGINGS’ how will you code the following:

(1) LONG (2) ON

(3) GIN (4) SONG (5) NO

2. If POSTED is coded as DETSOP, how will be

word SPEED be coded?

3. KAPIL is coded as IFMXH, then PATHAN is

coded as?

4. RETAISH is coded as 80, then how is OXFORD

coded

5. If ‘tera mera sakba” means “lets enjoy school”,

“jaisa mera waisa” means “enjoy before work”,

“kuch is tera” means “school only sunday” then

what does ‘sabka’ denote?



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ata Interpretation - I

I

1. Convert the following percentage into

fraction

(a) 12.5% - ______ (b) 37.5% - ______

(c) 67.5% - ______ (d) 16.67% ______

(e) 55.55% - _____ (f) 54.54% -______

(g) 09.09% - ______ (h) 90.90%- _____

(i) 3.125% -______ (j) 7.69230% -____

Refer to the table below and answer the

questions that followNo. of students registered for JET 2010

Subject 1st year 2nd

year

3rd

year

Science 20 40 80

History 30 60 120

Maths 40 80 160

Economics 50 70 100

2. No. of students registered for History forall the three years is less than the number

of students registered for Maths for all

class assignments book

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