quantitative aptitude questions and answer

8/12/2019 Quantitative Aptitude Questions and Answer

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Instructions: Try to attempt all the 25 questions. Understand the problem clearly, write down the

information given to you and what have to be find out. Identify the constraints and think of methods

which will allow you to go from what is given to what have to be found out. Even after attempting if

you are unable to solve, the explanation is given at the end of the question paper, read through it and

then try doing all the problems once again setting a time limit of 10 minutes.

1) A fort has provisions for 60 days. If after 15 days 500 men joined and the food lasts for 40 days ,how many men were there in the fort initially?

a) 3500 b) 4000 c) 6000 d) none of these2) A, B & C enter into a partnership by investing Rs 3600, Rs 4400 & Rs 2800. A is a working partner

and gets a fourth of the profit for his services and the remaining profit is divided amongst the

three in rate of their investments. What is the profit that B gets if A gets a total of Rs 8000?

a) 4888.88 b) 9333.33 c) 4000 d) 3666.663) The marks scored by a student in 3 subjects are in the ratio 4 : 5 : 6. If the candidate scored

overall aggregate of 60% of the sum of the maximum marks & the maximum marks in all thethree subjects is the same, in how many subjects did he score more than 60%?

a) 1 b)2 c)3 d)none of the subjects4) a & b are the lengths of the base & height of a right angled triangle whose hypotenuse is h. If

a & b are positive integers, which of the following cannot be a value of the square of the

hypotenuse?

a) 13 b) 23 c) 37 d) 415) The angle of elevation of the top of a tower 30m high, from two points on the level ground on

its opposite sides are 45 degree and 60 degrees. What is the distance between the two points?

a) 30 b) 51.96 c) 47.32 d) 81.966) A 4cm cube is cut into 1cm cubes. What is the percentage increase in surface area due to

cutting?

a) 4% b) 300% c)75% d)400%7) If the diagonal and the area of a rectangle are 25m & 168 m2, what is the length of the

rectangle?

a) 17m b) 31m c) 12m d) 24m8) Four horses are tethered at 4 corners of a square field of side 70 metres so that they just cannot

reach one another(assume that the length of the ropes with which the horses are tied is equal

to half of a side of the square plot).The area left ungazed by the horses is

a)1050 sq.m b) 3850 sq.m c)950 sq.m d) 1075 sq.m

9) The circumference of the front wheel of a cart is 30ft long and that of the back wheel is 36 ftlong. What is the distance travelled by the cart, when the front wheel has done 5 more

revolutions than the rear wheel?

a) 20ft b) 25ft c) 750ft d) 900ft10)The area of a square field is 24200 sq m. How long will a person take to cross the field diagonally

at the rate of 6.6km/hr?

a) 3 minutes b) 2 minutes c) 2.4 minutes d) 2 minutes 40 second


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11)If you were to count one number per second and counted seven hours per day, how long wouldit take you to count to a billion?

a) 11 years b) 229 years c) 109 years d)99 years12)Given A= 265& B= (264+263+262++20)

a) B is 264times A b) A=B c) B is larger than A by 1 d) A is larger than B by113)If taxi fare were Rs. 1 for the first 1/5 mile & Rs 0.20 for each 1/5 mile thereafter. The taxi fare

for a 3-mile ride will be

a)Rs 1.56 b) Rs 2.40 c) Rs 3 d)Rs 3.80

14)There are 2 candles of equal length and different thickness.The thicker one lasts for 6 hours. Thethinner 2 hours less than the thicker one. Ramesh lights the 2 candles at the same time. When

he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did

Ramesh light the 2 candles?

15)A traveler lost his way in a jungle and was caught by a tribe whose chief decided that the manshould be killed. But he was given a choice of making a single statement. If the statement is true

, he would be thrown off from a cliff. If false, he would be eaten by lions. But the traveler was

clever and he made a statement which forced the chief to release him. What was the

statement?

16)What is the sum of all the terms in the series

a) 28/225 b)112/225 c)56/225 d)14/22517)If (2k + 15), (3k 14) and (4k 3) are the lengths of the three sides of a triangle, then k is

definitely greater than

a) 4 b)6

c)8

d)2

18)The average of 10 numbers is 15.34. The average of the first five numbers is 14.35 and theaverage of the last 6 numbers is 15.43. If the fifth number is wrong, find the average of the

other numbers.

a)15.83 b)16.83 c) 17.83 d) 14.83

19)How many three-digit numbers are there that are divisible neither by 6 nor by 7?a) 622 b) 278 c) 643 d)None of these

20)If telegraph poles are placed 50 m apart and 1801 such poles are crossed by a train in 4 hours,what is the speed of the train?

a) 60 kmph b)15 kmph c) 40 kmph d)22.5 kmph21)P, when working alone, can complete a work in 30 days. He can complete the same work in 20

days when working with Q. Working with Q and R, P can complete the same work in 10 days. In

how many days can Q and R together do the same work?

a) 16 b) 12 c) 15 d)2022)Find the last digit of the sum

a) 4 b) 9 c)3 d) cannot be determined23)Five years from now, Sangeeta will be twice as old as Anugeeta was five years ago and,

Anugeeta will be as old as Sangeeta was five years ago. How many years back would Sangeeta

have been twice as old as Anugeeta?

a) 8 b) 10 c)12 d) 1524)If a = b1/2= c1/3= d1/4= e1/5, find the value of loga(a b c d e).

a) 10 b) 1 c) 0 d) 1525)Find the remainder when 171717. . . .upto 101 digits is divided by 625


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l + b = 31 & l-b = 17 so l =24 & b =7

8) AExplanation:length of rope = 35m area gazed by each horse = area of a sector with radius 35 so

Total area covered by 4 horses = area of circle with radius 35

Area ungazed = 702- (22/7) x 35

2= 49003850 = 1050 sq m

9) DExplanation:Let rear wheel make n revolutions so by the time front wheel would have made n+ 5

rev

Distance covered is same so n x 36 = (n+5) x 30 ie n = 25 so distance covered = 25 x 36 =900ft

10)BExplanation:let a be the side, a2= 24200 diagonal d =a = = = 220 m

Time taken to cross 220 m at 6.6kmph = 220m /6.6 kmph = (220 x 60) / (6.6 x 1000) = 2minutes

11)C1000000000/ ( 60 x 60 x 7 x 365) = 108.723

12)DB is in GP with r = 2 a= 1 sum, B = 265-1 / 2-1 = 265-1= A-1

13)DIst 1/5 = rs 1 + (4/5) mile =0.20 x 4 + last 2 miles = rs 2

= 3.80

14)3 hrs15)I will be eaten by lions16)C

Given sum =

=

=

=

17)B2k + 15 is the largest side.

Hence 2k + 15 < (3k - 14) + (4k - 3)

32 < 5k


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k > 6.4

18)ATotal of 10 = 15.34 10 = 153.40

Total of 5 = 14.35 5 = 71.75

Total of 6 = 15.43 6 = 92.58

5th number = 71.75 + 92.58 - 153.40 = 10.93Total of remaining 9 numbers = 153.40 - 10.93

= 142.47

Average = 142.47/9 = 15.83

19)Cnumber of 3 digit numbers divisible by 6 or 7 or both.

Number of three-digit numbers divisible by 6

= 166 - 16 = 150 ( 999/699/6 )

Number of three-digit numbers divisible by 7

= 142 - 14 = 128

Number of three-digit numbers divisible by 6 7

= 42 = 23 - 2 = 21 (999/4299/42)

Number of three-digit numbers divisible either by 6 or

7 or both = 128 + 150 - 21 = 257

Hence, number of three-digit numbers divisible neither by 6 nor by 7 = 900 - 257 = 643.

20)D. Given that,

Distance between two poles = 50 m

Number of poles crossed by a train = 1801

Time of journey of the train = 4 hours

Speed of the train =Distance travelled by the train / Total time of journey of the train=9000 /4 = 22,500 metres per hour = 22.5 kmph

21)CWork done by Q and R together in one day = 1/ 10 - 1/30 = 1/15 th

Q and R together can complete the work in 15 days22)C

For odd powers of 19 last digit is 9 and for even it is 1.

Last digit in 1981

is 9

For odd powers of 4, last digit is 4 and for even it is 6.

39k is odd irrespective of the value of k

last digit in 43^9k

is 4. Last digit in 19

81

+4

3^9k

is last digit in 9 + 4 i.e. = 323)D

Let their present ages be a and s respectively. Then we

have s + 5 = 2 (a - 5) . (1)

a + 5 = s - 5 (2)

By solving the two equations we get a = 35 and a =

25. If x years back

Sangeeta was twice as old as Anugeeta, we have

35 - x = 2 (25 - x) x = 15


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24)D

b=a2, c=a3, d=a4, e=a5

Loga(abcde) = loga(a a2a3a4a5) = loga(a

15) = 15

25)Dremainder is when 171717... to 101 digits / 625

last four digits are 7171.

remainder of 7171/625 = 296

quantitative aptitude questions and answer

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