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1. In 1936, I was as old as the Number formed by the last two digits of my year of birth. Find the date of

birth of my father who is 25 years older to me.

(a) 1868 (b) 1893

(C) 1902 (d) 1900

(e) can’t be determined

2. Find the total number of integral solutions of the equation (407)x –(ddd)y = 2589, where ‘ddd’ is three-

digit number.

(a) 0 (b) 1

(c) 2 (d) 3

(e) can’t be determined

3. Find the digit at ten’s place of the number N=7281 x 3264

(a) 0 (b) 1

(c) 6 (d) 5

(e) None of these

4. Raju went to a shop to buy a certain number of pens and pencils. Raju calculated the amount payable to

the shopkeeper and offered that amount to him. Raju was surprised when the shopkeeper returned him Rs

24 as balance. When he came back home, he realized that the shopkeeper had actually transposed the

number of pens with the number of pencils Which of the following is certainly an invalid statement?

(a) The Number of pencils that Raju wanted to buy was 8 more than the number of Pens.

(b) The number of pens that Raju wanted to buy was 6 less than the number of pencils.

(c) A pen cost Rs. 4 more than pencil.

(d) A pencil cost Rs. 12 less than a pen.

(e) None of above.

5. HCF of 384 and a5b2 is 16ab. What is the correct relation between a and b?

(a) a = 2b (b) a+b =3

(c) a-b =3 (d) a=b = 5

(e) cant be determined

6. In ancient India, 0 to 25 years of age was called Brahmawastha and 25 to 50 was called Grahastha, I am

in Grahastha and my younger brother is also in Grahastha such as the difference in our ages is 6 years and

brothers age is 31 more than my age. Find the sum of our ages.

(a) 80 (b) 68

(c) 70 (d) 71

(e) None of these

7. Volume of a cube with integral sides is the same as the area of square with integral sides. Which of these

can be the volume of the cube formed by using the square and replicas as the 6 faces?

(a) 19683 (b) 512

(c) 256 (d) Both (a) and (b)

(e) Both (a) and (c)

8. Let A be a two digit number and B be another two digit number formed by reversing the the digits of A. If

A+B+(Product of digits of the number A ) = 145, then what is the sum of the digits A?

(a) 9 (b) 10

(c) 12 (d) 11

(e) 13

9. When a two-digit number N is divided by the sum of its digits, the result is Q. find the minimum possible

value of Q.

(a) 10 (b) 2

(c) 5.5 (d) 1.9

(e) 7

10. A one-digit number, which is the ten’s digit of two digit number x, is subtracted from x to give y which is

the quotient of the division of 999 by cube of a number. Find the sum of the digits of x.

(a) 5 (b) 7

(c) 6 (d) 8

(e) 9

11. After Yuvraj hit 6 sixes in an over, Geoffery Boycott commented that Yuvraj just made 210 runs in the

over. Harsha Bhogle was shocked and he asked Geoffery which base system was using? What must have

been Geoffery’s answer?

(a) 9 (b) 2

(c) 5 (d) 4

(e) 7

12. Find the ten’s digit of the number 72010.

(a) 0 (b) 1

(c) 2 (d) 3

(e) 4

13. Find the HCF of 481 and the number ‘aaa’ where ‘a’ is number between 1 and 9 (both included).

(a) 73 (b) 1

(c) 27 (d) 37

(e) 4

14. The number of positive integer valued pairs (x,y), satisfying 4x -17y=1 and x < 1000 is:

(a) 59 (b) 57

(c) 55 (d) 58

(e) None of these

15. Let a,b,c be distinct digits. Consider a two digit number ‘ab’ and a three digit number ‘ccb’ both defiend

under the usual decimal number system system . If (ab)2 = ccb > 300 then the value of b is :

(a) 1 (b) 0

(c) 6 (d) 5

(e) None of these

16. The remember 7 84 is divided by 342 is:

(a) 0 (b) 1

(c) 341 (d) 49

(e) None of these

17. Let x,y and z be distinct integers, x and y are odd and positive and z is even and positive. Which one of

the following statement can’t be true.

(a) (x-z)2y is even (b) (x-z)2y is odd

(c) (x-y)y is odd (d) (x-y)2z is even

(e) None of these

18. A boy starts adding consecutive natural number starting with 1. After some time he reaches a total of

1000 when he realizes that he has made the mistake of double counting 1 number. Find the number

double counted .

(a) 44 (b) 45

(c) 10 (d) 12

(e) None of these

19. In a number system the product of 44 and 11 is 1034. The number 3111 of this system, when converted to

decimal number system, becomes:

(a) 406 (b) 1086

(c) 213 (d) 691

(e) None of these

20. Ashish is given Rs. 158 in one rupee denominations. He has been asked to allocate them into a number of

bags such that any another required between Re 1 and Rs. 158 can be given by handing out a certain

number of bags without opening them. What is the minimum number of bags required?

(a) 11 (b) 528

(c) 13 (d) 14

(e) None of these

21. Find the number of 6 digits numbers that can formed using the digits 1,2,3,4,5,6 once that the 6-digit

number is divisible by its unit digit.

(a) 648 (b) 528

(c) 728 (d) 128

(e) None of these

22. Which is the highest 3-digit number that divided the number 11111…….(27 tines) perfectly without

leaving any remainder?

(a) 111 (b) 333

(c) 666 (d) 999

(e) None of these

23. W1,W2,…………W7 are 7 positive integral values such that by attaching the coefficients of +1 , 0 and -1

to each value available and adding the resultant values any number from 1 to 1093 (both included) could

be formed If W1,W2,…………….W7 are in ascending order, then what is value of W3?

(a) 10 (b) 9

(c) 0 (d) 1

(e) None of these

24. What is the unit digit of the number 6325 + 2563?

(a) 3 (b) 5

(c) 2 (d) 2

(e) None of these

25. Find the remainder when (22225555 + 55552222) is divided by 7.

(a) 1 (b) 0

(c) 2 (d) 5

(e) None of these

26. What is the number of nines used is numbering a 453 page book?

(a) 83 (b) 87

(c) 84 (d) 86

(e) 85

27. How many four digit number are divisible by 5 but not by 25? is 10 and the sum of their reciprocals is

5/12. What is the value of larger of these integers?

(a) 2000 (b) 8000

(c) 1440 (d) 9999

(e) None of these

28. The sum of two integers is 10 and the sum of their reciprocals is 5/12. What is the value of larger of these

integers?

(a) 7 (b) 5

(c) 6 (d) 4

(e) None of these

29. Saurabh was born in 1989. His elder brother Siddhartha was also born in the 1980’s such that the last two

digits of his date of birth from a prime number P. find the remainder when (P2 + 11) is divided by 5.

(a) 0 (b) 1

(c) 2 (d) 3

(e) Cant be determined.

30. The HCF of x and y is H. Find the HCF of (x-y) and (x3 + y3)(x2-xy+y2).

(a) H-1 (b) H2

(c) H (d) H+1

(e) None of these

31. Rakshit bought 19 erasers for Rs. 10. He paid 20 paise more for each white eraser than for each brown

eraser what could be the price of a white eraser and how many white erasers could be have brought?

(a) 60 paise, 8 (b) 60 paise, 12

(c) 50 paise, 8 (d) 50 paise, 10

32. After paying all your bills, you find that you have Rs. 7.20 in your pocket. You have equal number of 50

paise and 10 paise coins; but no other coins nor any other currency notes. How many coins do you have?

(a) 8 (b) 24

(c) 27 (d) 30

33. Suresh Kumar went to the market with Rs. 100. If he buy three pens and six pencils he used up all his

money. On the other hand if he buys three pencils and six pens he would fall short by 20% . If he want to

buy equal number of pens and pencils, how many pencils can he buy?

(a) 4 (b) 5

(c) 6 (d) 7

34. for the above question, what is the amount of money , he would save if he were to buy 3 pens and 3

pencils.

(a) Rs. 50 (b) Rs. 25

(c) Rs. 75 (d) Rs. 40

35. Abdul goes to the to buy the bananas. If he can bargain and reduced the price per dozen by Rs. 2, he can

buy 3 dozen bananas instead of 2 dozen with the money he has. How much money does he have?

(a) Rs. 6 (b) Rs. 12

(c) Rs. 18 (d) Rs. 24

36. Two Orange, Three bananas and four apples cost Rs. 15. Three oranges, two bananas and one apple cost

Rs. 10. I bought 3 oranges, 3 bananas and 3 apples. Howe much did I pay.

(a) Rs. 10 (b) Rs. 8

(c) Rs. 15 (d) cant be determined

37. John bought five mangoes and ten oranges together for forty rupees. Subsequently, he returned one

mango and get two oranges in exchange. The price of an orange would be.

(a) Rs. 1 (b) Rs. 2

(c) Rs. 3 (d) Rs. 4

38. Two Towns A and B are 100 Km apart. A school is to be built for 100 students of town B and 30 Students

of town A. The expenditure on transport is Rs. 1.20 per km per person. If the total expenditure on

transport by all 130 students is to be as small as possible, then the school should be built at.

(a) 33 km from town A (b) 33 km from town B

(c) town A (d) Town B

39. A person who has a certain amount with him goes to the market. He can buy 50 oranges or 40 mangoes.

He retains 10% of the amount for texi fare and buys 20 mangoes and of the balance, he purchase oranges.

Number of oranges he can purchase is.

(a) 36 (b) 40

(c) 15 (d) 20

40. 72 hens cost Rs. _97.7_. Then what does each hen cost, where number at “_” are not visible or are written

in illegible hand?

(a) Rs. 3.43 (b) Rs. 5.31

(c) Rs. 5.51 (d) Rs. 6.22

Directions for questions 10-12:

There are 60 students in a class. These students are divided into three groups A,B and C of 15, 20 and 25

students each. The groups A and C are combined to form group D.

41. What is the average weight of the students in group D?

(a) More Than the average weight of A (b) More Than the average weight of C

(c) Less than the average weight of C (d) cant be determined

42. If one Student from group A is shifted to group B which of the following will be tru.

(a) The average weight of both groups increase

(b) The average weight of both groups decrease

(c) The average weight of the class remains the same.

(d) cant be determined

43. If all the students of the class have the same weight then which of the following is false.

(a) The average weight of the all four groups is the same

(b) The Total weight of A and C is twice the total weight of B

(c) The average weight of D is greater than the average weight of A.

(d) The average weight of all the groups remains the same even id a number of students are shifted from

one group to another.

44. The menu of the Local café at Mumbai reads as under

Item Price

(RS.)

Samosa and coffee - ac

Parathe - bc

Sweet dish, Samosa and coffee - bd

Samosa, Coffee and Parathe - ca

Parathe, Sweet dish, Samosa, and Coffee- db

In the price list, each of the entry in the right hand column stands for a two digit number and each of the

different letter stand for a different digit what is the price of the sweet dish?

(a) Rs. 6 (b) Rs. 11

(c) Rs. 41 (d) Rs. 22

45. Two Trains, a passenger train and a freight train, are running in the same direction on parallel railway

tracks. The passenger train takes three times as long to pass the fright train as when they are going in

opposite directions.

If the trains run at uniform speed of 25 km/h, what is the speed of passenger train (p) in km/h

(a) P= 50 (b) P≤50 (p>0)

(c) 0≤p≤50 (d) 20≤p≤50

46. Rambilas a rice merchant does not think much of the ethical practice and neither does he think too much

about his reputation; his only aim is to earn as much profit as possible. Which of the following would

serve the purpose best?

(I) Fixing selling price one-eighth above his cost price.

(II) Mix Stones (available for free ) 12.5% by weight and fixing selling price at cost price.

(III) Use an 8.75 kg weight for 10 kg weight and selling at cost price.

(IV) Selling 15/16Th only, by cheating, of the weight kept on balance and fixing the selling price 6.25%

above cost price

(a) I (b) I and II

(c) IV (d) III

Direction for questions 47-49:

A motorboat race is held in the suvarnarekha river in Jharkhand. The race is held over 3 stretches namely

M, N and O The maximum speed allowed in the stretch M is 80 km/hr and the maximum speed allowed in

stretches N and O are 65 km/hr and 30 km/hr respectively. The minimum speed allowed over the 3 stretches is 50

km/hr, 40 km/hr and 15 km/hr respectively. Each of the stretches is assumed constant. Current record for the race

is 12 min, 30 sec.

47. Shoaib completes the first stretch at minimum speed but is able to maintain the same speed in the second

stretch also. If he takes 60% more time than the current record, Then speed abdul over stretch o is

approximately:

(a) 23km.hr (b) 17 km/hr

(c) 28.8 km/hr (d) 32 km/hr

48. Amitabh covers stretch M at Minimum speed but completes the next stretch at maximum permissible

speed. What should be Andrews ‘speed in the stretch 0 if he now aims at breaking the current record.

(a) 30 km/hr (b) Indeterminate

(c) 40 km/hr (d) Breaking record is not possible

49. Steven Miles completes the race an average speed 30 km/hr. If his average speeds over stretch 0, what is

the speed over 0, what is his speed over stretch 0?

(a) 24 km/hr (b) 27 km/hr

(c) 18 km/hr (d) 15 km /hr

50. Ali along with his friends embarked on a boat journey while making all his preparation for the journey, he

checked the boat manufacture, s data and was glad to learn that the boat was really dependable as it could

float even if it was upto 75% full of water (with more water it could sink). Unfortunately, the boat

developed a hole during his journey the hole filling up water @2 liter per minute. The boat was also

equipped with a drainage pump which could empty a boatful of water in 32 hrs. If Ali figures that they

have a maximum of 12 hrs to reach a safe place (before they sink), what is the capacity of the boat.

(a) 1280 litre (b) 1480 litre

(c) 1600 litre (d) 1056 litre

51. The number of votes not cast for Pappu’s Party increased by 33 1/3 % over those not cast for it in the

previous polls in the farrukhabad city constituency where the only other candidate belongs/belonged to

the jhussu party. If a total of 4,50,000 people voted each time and pappu’s party losses by majority one

third times as large as that by which it had won in the last polls, How many people voted for pappu’s

party in the current polls.

(a) 150000 (b) 210000

(c) 240000 (d) 180000


On the planet of krypton (yes the same one from where superman originated) A small scale businessman

owns an ancillary unit that manufactures 6 types of tools namely A, B, C, D, E and F. These tools for their

Manufacturing require work on machine X and Machine Y In that order. The time taken on these machines to

manufacture one unit of a tool is as follows.

Tool- A B C D E F

Timw(hrs) Machine X 6 24 10 4 18 22

Machine Y 16 20 18 12 6 2

Presently, the businessman has received orders to manufacture one unit of each of the tools. There is no

Constraint to work on the machines and these machines can be run non-stop:

52. For a particular order from earth, the tools are to be manufactured in the sequence FEBCAD, what is the

minimum time taken to execute the order?

(a) 158 hrs (b) 110 hrs

(c) 130 hrs (d) 120 hrs

53. If a revolutionary technology is imported from the earth, the time required for working on earth tool is

reduced to half its current time on both machines. With this technology in place. What is shortest possible

time in which the order can be executed?

(a) 65 hrs (b) 51 hrs

(c) 55 hrs (d) None of these

54. A man can climb up a greased pole 30 fit high in 15 second (where 10 second is used for climbing up and

5 second when he is slippiong down). If grease causes a downward slip of fit a second, the time taken by

the man to climb a non greased pole would be:

(a) 8 seconds (b) 10 seconds

(c) 7.5 Seconds (d) 9 seconds

55. A state GDP during 2018-19 grew by a healthy 6.3% during the same period service growth was 7.0%

average growth for agricultural manufacturing, and service sector (excluding ITES and IT) was 5.8%. If

weightage given to agricultural sector is 25%, to manufacture sector 42%, and to service sector as whole

33%(IT sector 13% and ITES 9%), then what this approximate growth rate for service sector (excluding

ITES and IT)

(a) 6.4% (b) 5.9%

(c) 5.0% (d) 5.8% to 7.0% (depending on weightage)

56. The village of Hara Kiri has two-third of its male population married to 90% of its women population.

Each of such man is married to exactly two of such women. What is the minimum possible 4 digit

population of he village (Children are not counted as part of the population unless they are married)?

(a)1005 (b)1026

(c)1080 (d)Cannot be determined/None of these

____________________________

|-------------------------|

A B

The figure contains three squares with area of 100 m2, 49 m2 and 16m2 tying side by side. Rahim wishes

to reduce the length AB to 19 m by reducing area of only one of the squares without alerting its shape,

What is the maximum reduction (in %) in the area of that square?

(a) (Approx) 33% (b) 50%

(c) (Approx) 66% (d) 75%

49 m2

16 m2

100m2

57. Tingal and Sagar practice in the local Gomati Nagar stadium daily. One day, they started running around

the circular track simulataneously from the same point in opposite directions. Thereafter they met a total

of ten times when the practice session was terminated. If they meet at a point diametrically opposite to the

starting point when they meet for the second time, what could be ratio of their speed?

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

(c) 1:3 (d) Data insufficient

58. Find a fourth proportional to the numbers 60,48,30.

(a) 36 (b) 24

(c) 48 (d) none of these

59. Find a third proportional to the numbers 4, 42.

(a) 441 (b) 541


60. In a ratio 11:14, if the antecedent is 55, the consequent is

(a) 70 (b) 90


61. The mean proportion of 0.25 and 0.04 is

(a) 0.01 (b) 0.1

(c) 10√10 (d) none of these

62. The ratio of two number is 3:4 and their sum is 420. The greater of the two number is

(a) 360 (b) 240


64. Amit, Sumit and Puneet share an amount of Rs.660 in the ratio of 3:4:5. What is the share of Puneet?

(a) Rs.375 (b) Rs.275

(c) Rs.575 (d) none of these

65. The prices of a scooter and a television set are in the ratio of 3:2. If a scooter costs Rs. 600 more than the

television set , then the price of television set is ;

(a) Rs.1800 (b) Rs.1200


66. If A:B=7:5and B:C=9:11, then A:B:C is equal to

(a) 55:45:63 (b) 63:45:55

(c) 45:63:55 (d) none of these

67. If 3A=4B=5C,then A:B:C is

(a) 16:20:18 (b) 15:20:16

(c) 20:15:12 (d) none of these

68. The ratio of money with Anju and Sanju is 4:5 and that with Sanju and Manju is 5:6. If Anju has Rs.

280,then the amount of money Manju has

(a) Rs.320 (b) Rs.420


69. What is 25% of 25% equal to

(a) 6.25 (b) .625

(c) .0625 (d) .00625

70. One fourth of one third of two fifth of a number is 15. What will be 40% of a that number?

(a) 120 (b) 350

(c) 270 (d) 180

71. What will be 160% of a number whose 200% is 140?

(a) 200 (b) 160

(c) 140 (d) 112

72. If three fifth of a number is 40 more than 40% of the same number. What is the number?

(a) 100 (b)150

(c) 200 (d) 400

73. If X is 90% of Y.What percentage of X is Y.

(a) 101.1 (b) 190

(c) 90 (d) 111.1

74. (x% of y + y % of x)= ?

(a) x% of y (b) y% of x

(c) 2% of xy (d) xy% of 3

75. If 90% of A=30% of B and B=x% of A, then x is equal to:

(a) 900 (b) 300

(c) 800 (d) 600

76. 40 Quintals is what percent of 2 metric tones?

(a) 20% (b) 2%

(c) 200% (d) 150%

77. A student has to secure 40% marks to pass. He gets 178 marks and fails by 22 marks. The maximum

marks are:

(a) 200 (b) 500

(c) 800 (d) 1000

78. Of the total amount received by Prerna, 20% was spent on purchases and 5% of the remaining on

transportation. If he is left with Rs. 1520 the initial amount was:

(a) 2800 (b) 2000

(c) 2400 (d) 1600

79. The price of jute has been reduced by 20% if the reduced price is 800 per quintal, the original price per

quintal was

(a) Rs. 900 (b) 640

(c) 960 (d) 1000

80. Amit has some apples, He sold 40% more than he are. If he sold 70 apples, how many did he eat?

(a) 50 (b) 90

(c) 18 (d) 42

81. 5/9 part of the population in a village are males. If 30% of the males are married, the percentage of

unmarried females in the total population is:

(a) 70% (b) 40%

(c) 27.78% (d) 20%

82. Cost of 3 cricket balls = cost of 2 pairs of leg pads.

Cost of 3 pairs of leg pads = cost of 2 pairs of gloves.

Cost of 2 pairs of gloves = cost of 2 cricket bats.

If a cricket bat costs Rs. 54, what is the cost of a cricket ball?

(a) Rs. 12 (b) Rs. 14

(c) Rs. 16 (d) Rs. 18

83. What is the loss percentage if a man loses Rs. 10 on selling an article for Rs. 100?

(a) 9 1/11% (b) 10%

(c) 11 1/9% (d) None

84. When a commodity is sold for Rs. 34.80, there is a loss of 25%. What is the cost price of the commodity?

(a) Rs. 46.40 (b) Rs. 26.10

(c) Rs. 43 (d) Rs. 46.20

85. A retailer buys a radio for Rs. 225. His overhead expenses are Rs. 15. He sells the radio for Rs. 300. The

profit percentage of the retailer is:

(a) Rs. 10 (b) Rs. 25

(c) Rs. 50 (d) Rs. 52

86. The Probability that A can solve a problem is 3/10 and that B can solve is 5/7. If both of them attempt to

solve the problem, what is the probability that the problem can be solved?

(a) 3/5 (b) 1/4

(c) 2/3 (d) 4/5

87. The sides AB, BC , CA of a triangle ABC have 3,4 and 5 interior points respectively on them . Find the

number of triangles that can be constructed using these points of vertices.

(a) 180 (b) 105

(c) 205 (d) 280

88. From 6 gentleman and 4 ladies , a Committee of 5 is to be formed. In how many ways can this be done if

there is no restriction in its formation?

(a) 256 (b) 246

(c) 252 (d) 260

89. From 4 officers and 8 jawans in how many ways can 6 be chosen to include exactly one officer?

(a) 12C6 (b) 1296

(c) 1344 (d) 244

90. From 4 officers and 8 jawans in how many ways can 6 be chosen to include atleast one officer?

(a) 868 (b) 924


91. Two cards are drawn one after another from a pack of 52 ordinary cards. Find the probability that the first

card is an Ace and the second drawn is an honour card if the first card is not replaced while drawing the

second.

(a) 12/13 (b) 12/51

(c) 1/663 (d) none of these

92. The probability that Andrews will be alive 15 years from now is 7/15 and that Bill will be alive 15 years

is 7/10. What is the probability that both Andrews and Bill will be dead 15 years from now?

(a) 12/150 (b) 24/150

(c) 49/150 (d) 74/150

93. A Group consist of 100 people; 25 of them are women and 75 men;20 of them are rich and the remaining

are poor; 40 of them are employed. The probability of selecting an employed rich woman is :

(a) 0.05 (b) 0.04

(c) 0.02 (d) 0.08

94. Out of 13 job applicants, there are 5 boys and 8 men. It is desired to choose 2 applicants for the job. The

probability that at least one of the selected applicant will be a boy is:

(a) 5/13 (b) 14/39

(c) 25/39 (d) 10/13

95. Four dogs and three pups stand in a queue. The probability that they will stand in alternative position is:

(a) 1/34 (b) 1/35

(c) 1/17 (d) 1/68

96. Asha and vinay play a number game where each is asked to select a number from 1 to 5. If the two

numbers match, both of them win a prize. The probability that they will not win a prize in a single trial

is:

(a) 1/25 (b) 24/25


97. The number of ways in which 6 British and 5 French can dine at a round table if no two French are to sit

together is given by :

(a) 6! x 5! (b) 5! x 4!

(c) 30 (d) 7! X 5!

98. A cricket team of 11 players is to be formed from 20 players including 6 bowlers and 3 wicketkeepers.

Find the number of ways in which a team can be formed having exactly 4 bowlers and 2 wicketkeepers.

(a) 20790 (b) 6930

(c) 10790 (d) 360

99. Three boys and three girls are to be seated around a circular table. Among them one particular boy Rohit

does not want any girl neighbor and one particular girl shaivya does not want any boy neighbor. How

many such arrangements are possible?

(a) 5 (b) 6

(c) 4 (d) 2

100. Words with five letters are formed from ten different letters of an alphabet. Then the number of words

which have at least one letter repeated is:

(a) 19670 (b) 39758

(c) 69760 (d) 99748

101. Sunil and Kapil toss a coin alternatively till one of them gets a head and wins the game. If sunil starts the

game, the probability that the sunil will win is :

(a) 0.66 (b) 1

(c) 0.33 (d) none of these

102. The number of parelliograms that can be formed if 7 parallel horizontal lines intersects 6 parallel vertical

line is :

(a) 42 (b) 294


103. 1.3.5…(2n-1)/2.4.6…(2n) is equal to :

(a) (2n)!/ 2n(n!))2 (b) (2n)!/n!

(c) (2n-1)/)n-1)! (d) 2n

104. How many four digit numbers, each divisible by 4 can be formed using the digits 1,2,3,4, and

5(repetitions allowed)?

(a) 100 (b) 120

(c) 125 (d) 75 (e) 76

105. A student is to answer 10 out of 13 questions in a test such that he /she must choose at least 4 from the

first five questions. The number of choices available to him is:

(a) 140 (b) 280

(c) 196 (d) 346

106. The number of ways in which a committee of 3 ladies 4 gentleman can be appointed from a meeting

consisting of 8 ladies and 7 gentleman, if Mrs. Pushkar refuses to serve in a committee if Mr. Modi is its

member , is :

(a) 1960 (b) 3240


107. A room has 3 lamps. From a collection of 10 light bulbs of which 6 are not good, a person selects 3 at

random and puts them in socket. The probability that he will have light, is :

(a) 5/6 (b) 1/2


108. Two different series of a Question booklet for an aptitude test are to be given to twelve students. In how

many ways can the student be placed in two rows of six each so that there should be no identical series

side by side and that the students sitting one behind the other should have the same series?

(a ) 2X12C6 X (6!)2 (b) 6! X 6!

(c) 7!X7X (d) none of these

109. The letters of the word PROMISE are arranged so that no two of the vowels should come together . The

total number of arrangement is:

(a) 49 (b) 1440

(c) 7 (d) 1898

110. Find the reminder left after dividing 1!+2!+3!+…+1000! by 7.

(a) 0 (b) 5

(c) 21 (d) 14

111. In the McGraw-Hill Mindworkzz mock test paper ,there are two sections each containing 4 questions but

not more than 3 question from any section. In How many ways can 5 Questions be selected?

(a) 24 (b) 48

(c) 72 (d) 96

112. A bag contains 10 balls out of which 3 are pink and rest are orange . In how many ways can a random

sample of 6 balls be drawn from the bag so that at the most 2pinl balls are included in the sample and no

sample has all the six balls of the same colour?

(a) 105 (b) 168

(c) 189 (d) 120

113. In a group photograph at the Patna Women’s College, all the seven teachers should sit in the first row and

all the twenty students should sit in the second row. The two corners of the second row are reserved for

the two tallest students, interchangeable only between them and if the middle seat of the row is reserved

for the principal. Find the number the possible arrangements-

(a)720*18! (b)1440*18!

(c)1370*18! (d)None of these

114. In a certain town, all telephone numbers have six digits, the first two digits always being 53 or 54 or 56 or

82 or 84. The number of telephone numbers having all the six digits distinct is-

(a)8400 (b)9200

(c)7200 (d)None of these

115. Three groups X, Y and Z are contesting for a position on the Board of Directors of a company. The

probabilities of their winning are 0.5, 0.3 and 0.2 respectively. If the group X wins, then the probability of

introducing a new product is 0.7 and the corresponding probabilities for group Y and Z are 0.6 and 0.5

respectively. The probabilities that the new product will be introduced is-

(a)0.52 (b)0.74

(c)0.63 (d)None of these

116. A number x equals 80% of the average of 5,7,14 and a number y. If the average of x and y is 26, the value

of v is-

(a)13 (b)26

(c)39 (d)None of these

117. It rained as much on Wednesday as on all the others days of the week combined. If the average rainfall

for the whole week was 3 cm, how much did it rain on Wednesday?

(a)2.625 (b)3

(c)10.5 (d)15

118. The average age of 8 men is increased by 2 years. When two of them, whose ages are 20 years and 24

years respectively, are replaced by two women. What is the average age of these women?

(a)36 (b)30

(c)40 (d)42

119. The average speed of a train (in km/hr)running at a speed of 30 km/hr during the first 100 kms, at 40

km/hr during the second 100 kms, and at 50 km/hr during the last 100 kms is nearly-

(a)38.5 (b)38.3

(c)40.0 (d)39.2

120. The average weight of 3 men A, B and C is 84 kg. Another men D joins the group and the average now

becomes 80 kg. If another men E, whose weight is 3 kg more that that of D, replaces A, then the average

weight of B, C, D and E becomes 79 kg. The weight of A(in kg) is-

(a)70 (b)72

(c)75 (d)80

121. Of the three numbers the first is twice the second and second is the thrice the third. If the average of these

three is 10, then numbers are-

(a)18,3,9 (b)9,3,18

(c)3,9,18 (d)18,9,3

122. The average weight of 36 students is 50 kg. It was found later that the figure of 37 kg was misread 73kg.

What is the correct average-

(a)49 (b)51

(c)50.5 (d)None of these

123. The average of marks obtained by 120 candidates was 35. If the average of marks of passed candidates

was 39 and that of failed candidates was 15, the number of candidates who passed the examination is –

(a)100 (b)110

(c)120 (d)150

124. In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years is

replaced by a new boy. The age of new boy is-

(a) 14 years 8 months (b) 15 years

(c) 16 years 4 months (d)17 years 10 months

125. The average of two numbers is 62. If 2 is added to the smaller, the ratio between the numbers becomes

1:2. The smaller number is-

(a)60 (b)30

(c)84 (d)40

126. The average daily wages of A, B and C is Rs. 120. If B earns Rs. 40 more than C per day and A earns

double of what C earns per day, the wages of A per day(in Rs.) is-

(a)80 (b)120

(c)160 (d)100

127. With and average speed of 40 kmph a train reaches its destination om time. If it goes with an average

speed of 35 kmph, it is late by 15 minutes. The total journey(in km) is-

(a)30 (b)40

(c)70 (d)80

128. let x,y be two positive numbers such that x+y=1.

Then, the minimum value of + is

(a) 12 (b) 20

(c) 12.5 (d) 13.3

129. ujakar and keshab attempted to solve a quadratic equation . Ujakar made a mistake in writing down the

constant term. He ended up with the roots (4,3). Keshav made e mistake in writing down the coefficient

of x. he roots as (3,2). What will be the exact roots of the original quadratic equation?

(a) (6,1) (b) (-3,-4)

(c) (4,3) (d) (-4,-3)

130. A change making machine contains 1 rupee, 2 rupee and 5 rupee coins. The total number of coins is 300.

The amount is Rs. 960. If the number of 1 rupee coins and the number of 2 rupee coins are interchange,

the value comes down by Rs. 40. The total number of 5 rupee coins is :

(a) 100 (b) 140

(c) 60 (d) 150

140. If x>2 and y>-1, then which of the following statement is necessarily true?

(a) xy>-2 (b) –x<2y

(c) xy<-2 (d) –x>2y


A,B,C and D collected one rupee coins following the given pattern. Together they collected 100

coins.Each one of them collected an even number of coins. Each one of them collected at least 10 coins. No

two of them collected the same number of coins.

141. The maximum no. of coins collected by any one of them can not exceed .

(a) 64 (b) 36

(c) 54 (d) None of these

142. If A collected 54 coins then the difference in the number of coins between the one who collected

maximum no. of coins and the one who collected the second highest no of coins must be at least:

(a) 12 (b) 24

(c) 30 (d) None of these

143. If A collected 54 coins and B collected two more coins than twice the no. of coins collected by C. then

the no. of coins collected by B could be:

(a) 28 (b) 20

(c) 26 (d) 22

Directions (Q144-Q145):

A, B and C are three numbers. Let @ (A, B) = average of A and B,

(A, B) = product of A and B, and x (A, B) = the result of dividing A by B.

144. The sum of A and B is given by:

(a) / (@ (A, B), 2) (b) x (@ (A, B), 2)

(c) @ (/ (A, B)) (d) @ (x (A, B), 2)

145. Average of A, B and C is given by:

(a) @ (/@ (/ (B, A), 2), C), 3 (b) x (@ (/@ (B, A), 3), C), 2)

(c) / ((x (@ (B, A), 2), C), 3) (d) / (x(@ (/ (@(B, A), 2), C), 3),2)

146 Rramesh crosses a street 600m long in 5 min. his speed in km/hr is

(a) 8.2 (b) 7.2

(c)9.2 (d) none of these

147. A train 100m long passes a bridge at the rate of 72km/hr in 25 seconds'. what is length of bridge?

(a) 400m (b) 17m

(c) 600m (d) none of these

148. A train passes a railway bridge 150 m long in 18 sec. if the train is running at a speed of 60km/hr then the

length of train is

(a) 160m (b)150m

(c)180m (d) none of these.

149. Sound travels 330m. a second. if the sound of a thunder-cloud follows the flash after 10sec. the thunder-

cloud is at a distance of

(a)3.7km (b) 3.5km

(c)3.3km (d)none of these

150. The wheel of an engine is 3.75meter in circumference and makes 4 revolutions in 2 sec. the speed of the

train is

(a) 27km/hr (b)31km/hr

(c)35km/hr (d)none of these

151. A person covers half of his journey at 30km/hr and the remaining half 20km/hr.

the average speed of total journey is

(a) 25km/hr (b)28km/hr

(c)32km/hr (d) d)none of these.

152. A and B are 2 towns. a car goes from A to B at a speed of 64km/hr and returns to A at slower speed. if its

average speed for the whole journey is 56km/hr. it retuned with speed

(a) 52.54km/hr (b)47.74km/hr

(c)49.78km/hr (d)none of these

153. On a tour a man travels at the rate of 64 km an hour for the first 160 km then travels the next 160km at the

rate of 80km an hour. the averge speep in km /hr for thr first 320km of the tour is

(a)81.13km/hr (b)73.11km/hr

(c)71.11km/hr (d)none of these

154. Rakesh sets out to cycle from Dhl to Mathura and at the same time suresh starts from Mathura to Delhi.

After passing each other they complete their journeys in 9 and 16 hours, respectively. At what speed does

suresh cycle if Rakesh cycles at 16 km/hr.

(a)12 km/hr (b) 16 km/hr

(c) 14 km/hr (d)none of these

155. A car during its journey travels 30 mins at speed of 40 km/hr another 45 mins at a speed 60 km/hr and 2

hrs at a speed of 70 km/hr. The average speed of the car is

(a) 63 km/hr (b) 65 km/hr

(c) 70 km/hr (d)none of these

156. By walking at 3/4 of his usual speed, a man reaches office 20 mins later than usual. His usual time is

(a) 65 mins (b) 60 mins

(c) 70 mins (d)none of these

157. A train of length of 150 meter takes 40.5 seconds to cross a tunnel of length 300 meter. The speed of train

is:

(a) 13.33 km/hr (b) 26.67 km/hr

(c) 40 km/hr (d) 400 km/hr

158. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is

(a) 200m (b) 150m

(c) 50m (d) data inadequate

159. If a train 110m long passes a telegraph pole in 3 seconds then the time taken by it to cross a railway

platform 165m long is

(a) 3 sec. (b) 4sec

(c) 5 sec (d) 7.5 sec

160. A train 150 m long moving at a speed of 25m/sec over takes a man moving at 5 m/sec in opposite

direction. The train will pass the man in

(a) 5 sec (b) 6sec

(c) 4(2/7) sec (d) 8 sec

161. Two trains 200m and 150 m long are running on parallel at the rate of 40 km/hr and 45 km/hr. In how

much time will they cross each other if they are running in same direction

(a) 72sec (b)132sec

(c) 192sec (d) 252sec

162. Two trains 126m and 114m long are running in opposite directions one at the rate of 30km/hr and

another one at 42km/hr. From the moment they meet will cross each other in

(a) 10sec (b) 11sec

(c) 12sec (d) 13sec

163. A train 110m long passes a man running at a 6km/hr in direction opposite to that of train in 6sec. The

speed of train is

(a) 60km/hr (b) 66km/hr

(c)54km/hr (d) 72km/hr

164. A train 108m long moving at aspeed of 50km/hr crosses a train 112m long coming from opposite

direction in 6sec. The speed of second train is

(a) 48km/hr (b) 54km/hr

(c) 66km/hr (d) 82km/hr

165. A train B speeding with 120km/hr crosses another train C running in same direction in 2 mins. If the

length of train B and C be 110m and 200m respectively. What is the speed of train C?

(a) 111 km/hr ( b) 127km/hr

(c) 123km/hr (d) 129km/hr

166. Two trains travel in opposite direction at 36km/hr and 45km/hr and a amn sitting in slower train passes

the faster train in 8 sec. The length of faster train is

(a) 80m ( b) 100m

(c) 120m (d) 180m

167. A train over takes two persons who are walking in same direction in which the train is going at the rate of

2km/hr and 4km/hr and passes them completely in 9 and 10 secs. The length of train is

(a) 72m (b) 54m

(c) 50m (d) 45m

168. If the probability that A will live 15years is 7/8 and that B will live 15 years is 9/10, then what is the

probability that both will live after 15 years?

(a) 1/20 (b) 63/80

(c) 1/5 (d)none of these

169. Suppose 6 coins are flipped. then the probability of getting at least onr tail is

(a) 71/72 (b) 54/54

(c) 63/64 (d) 1/12

170. If events A and B are independent and P(a)=0.15 P(A U B)=0.45 then P(B)=

(a)6/13 (b) 6/17

(c)6/19 (d)6/23

171 Two dice are tossed. the probability that the total score is a prime number is

(a)1/6 (b)5/12

(c) 1/2 (d) 7/9

172. Four different objects 1,2,3,4 are distributed in four places marked 1,2,3,4. What is the probability that

none of objects occupy the place corresponding to the number is

(a) 17/24 (b) 3/8

(c) 1/2 (d) 5/8

173 . If the probability of rain on any given day in pune city is 50%, then what is the probability that it rains

on exactly 3 days in five day period?

(a) 8/125 (b) 5/16

(c) 8/25 (d) 2/25

174. The probability that an event A happens in one trial of an experiment is 0.4. Three independent trail of

experiment are formed. The probability that the event A happens at least once is

(a) 0.934 (b) 0.784

(c) 0.548 (d) 0.343

175. A number is chosen at random among the first 120 natural numbers. The probability of the number

chosen being a multiple of 5 or 15 is

(a) 1/5 (b) 1/6

(c) 1/7 (d) 1/9

176. From a pack of 52 playing cards , two cards are drawn together at random. Calculate the probability of

both the cards being kings

(a) 1/15 (b) 25/57


177. What is the possibility of getting at least 6 heads if 8 coins are tossed simultaneously?

(a) 37/256 (b) 25/57

(c) 1/13 (d) None of these

178. I was

(P) and stay for a few days in Delhi

(Q) when my father told me

(R) very exited

(S) that I could go with him

(a) PQRS (b) QRSP

(c) RQSP (d) SPQR

179. They are mostly people

(P) and they find the club very convenient

(Q) to get a reasonable meal

(R) who work in the neighborhood,

(S) Because it enables them

(a) PQRS (b) QPRS

(c) RPSQ (d) SQRP

180. The invasion of India

(P) is more interesting than any other episode of early Indian history

(Q)to most European readers

(R)by Alexander the great of Macedonia

(S)which occurred during the rule of Nandas

(a) PQRS (b) QPRS

(c) RSPQ (d) SRPQ

181. (1)I have not come

(P)even if it means some humiliation

(Q)but the boy must learn

(R)to complain, he said,

(S)to be honest

(6)and admit he broke our window pane

(a) PRQS (b) QSPR

(c) RQSP (d) SPRQ

182. (1) If you are serious about

(P) vocabulary building not a hobby,

(Q)you will have to make

(R)an absorbing interest,

(S)increasing your vocabulary

(6)or even an obsession.

(a) PQSR (b) PRQS

(c) RQPS (d) SQPR

183. Reading books

(P)is a habit

(Q)but also enlarges the mind

(R)because it not only increases knowledge

(S)which must be cultivated by everybody

(a) PQSR (b) PQRS

(c) PSRQ (d) SRPQ

184. (1)Every body

(P)attracts every other

(Q)whether big or small,

(R)body with the force

(S)in the universe

(6)of gravitation

(a) PRSQ (b) QPRS

(c) RSPQ (d) SQPR

185. (1)on reaching the station

(P)he first looked around

(Q)and when he could find none

(R)he just lifted his luggage

(S)for a coolie

(6)and walked down to the platform

(a) PSQR (b) QRPS

(c) RPSQ (d) SQRP

186. The boy

(P)with big blue eyes

(Q)watched him,

(R)and he never said a word

(S)that had an uncanny cold fire in them

(a) PQRS (b) PQSR

(c) QPSR (d) QRPS

187. (1)The establishment of Delhi Sultanet

(P)new features in art and architecture

(Q)and their diffusionin all parts of the country

(R)saw the introduction of

(S)leading to the growth of

(6)India's composite culture.

(a)PRSQ (b) PSQR

(c) RPQS (d) SPQR

188. (1)If evil consisted

(P)men would be drawn to virtue

(Q)but, alas! how many know their duty

(R) merely in ignorance

(S) as soon as it was explained to them

(6)and yet do not do it

(a) RPQS (b)RPSQ

(c)RSPQ (d) SPRQ

189. (1)There are people

(P)to be able to say

(Q)not because they enjoy the book.

(R)who read a book

(S)but because they want

(6)that they have read it.

(a)PSQR (b)RQSP

(c)RSPQ (d)SQPR

Directions: In each of the following questions, out of the given alternatives, choose the one which

best expresses the meaning of the italicized bold part of the sentence.

190. Sporadic rise in his temperature has caused us much worry.

(a) Frequent (b) Irksome

(c) Irregular (d) Scattered

191. Ant is believed to be the most industrious creature.

(a)sensible (b)diligent

(c)successful (d)punctual

192. The tour was cancelled on account of incessant rain.

(a) constant (b) heavy

(c) intermittent (d) unexpected

193. I disdain those who tell lies.

(a) condemn (b)scorn

(c) hate (d)despise

194. The benevolence of the God of rain has seen a very successful monsoon this year too.

(a) vision (b)morbidity

(c) Kindness (d) ill-will

195. The country’s resources should be judiciously used.

(a) Sparingly (b) reasonably

(c) Adequately (d) immensely

196. Everyone tries to avoid his company because he is in the habit of using too many jibes.

(a) Jokes (b) abuses

(c) Criticism (d) taunts

197. The story is too fantastic to be credible.

(a) Praiseworthy (b) readable

(c) believable (d) false

198. A government rocked by frequent scandals is an effete set of people with no credibility.

(a) Innocent (b) stupid

(c) Excited (d) exhausted

199. She does not get her work done punctually and properly because she is always dawdling.

(a) Confused (b) playing

(c) Loitering (d) chit-chatting

200. The little coy bride was admired by everyone.

(a) Beautiful (b) shy

(c) Talented (d) sweet

201. The small boy was able to give a graphic description of the thief.

(a) Vague (b) broad

(c) vivid (d) drawing (e) picture

202. He was dismissed from service because they found him dishonest.

(a) Prevented (b)removed

(c)retired (d)stopped

203. If you waver at the last minute, you shall face failure.

(a) resolve (b)decide

(c)settle (d)hesitate

204. Reading of poetry is not congenial to his taste.

(a) suited (b) beneficial

(c) helpful (d) preferable

205. Gandhiji always advocated the cause of indigenous industries.

(a) Foreign (b) big

(c) cottage (d) native

206. Kamini could not recollect the incident that had happened in her childhood.

(a) remind (b) recall (c) memorise (d) assemble

207. He was warned at the outset of his career.

(a) end (b) beginning (c) middle (d) entrance

208. The bounties of nature are being exploited by man.

(a) gifts (b) products (c) rules (d) ecological balances

209. There is no efficacious remedy to unemployment problem in a country which has no ideological

convictions.

(a) suitable (b) possible (c) effective (d) proper

210 A bone got stuck in his gullet.

(a) stomach (b) molars (c) chest (d) throat

211. India is still a virgin land exploring its tourism potential.

(a) undone (b) unexplored (c) uncouth (d) unexploited

212. The need of the hour is to initiate the renaissance of moral conscience and halt the rampant

corruption, for it could even hasten the end of our civilization.

(a) rise (b) introduction (c) revival (d) significance

213. I have told him many times not to do that.

(a) several (b) unlimited (c) endless (d) numberless (e) infinite

Directions: In each of the following questions, out of the four alternatives, choose the one which can be

substituted for the given words/sentence.

214. To examine one’s own thoughts and feelings.

(a)Meditation (b) Retrospection (c) Reflection (d) Introspection

215. A short, usually amusing, story about some real person or event

(a) Anecdote (b)Antidote (c)Tale (d)Allegory

216. Woman who offers the use of her body for sexual intercourse to any one who will pay for this

(a) Voluptuary (b)Cuckold (c) Prostitute (d) Concubine

217. Life history of a person written by another

(a) Autobiography (b)Biography (c) Bibliography (d) Memoir

218. Custom of having many wives

(a) Monogamy (b)Bigamy (c) Polygamy (d) Matrimony

219. A person who does not believe in any religion

(a) Philatelist (b)Rationalist (c) theist (d)Pagan

220 Bringing about gentle and painless death form incurable disease

(a) Suicide (b)Euphoria (c)Gallows (d)Euthanasia

221. A man of lax moral

(a) Ruffian (b) Licentious (c) Pirate (d) Vagabond

222 A small enclosure for cattle, sheep, poultry etc.

(a) Cellar (b)Sty (c) Pen (d) Lair

223. To cause trios etc, to spread out in readiness fir battle

(a) Align (b)Collocate (c) Deploy (d)Disperse

224. One who forcibly seizes control of a bus or an aircraft

(a) Pirate (b)Swindler (c)Hijacker (d)Pilferer

225. The act of killing one’s wire

(a) Genocide (b)Uxoricide (c)Canicide (d) Avicide

226. Music sung or played at night below a person’s window

(a) Serenade (b)Sonnet (c) Lyric (d) Primo

227. A government by the nobles

(a) Democracy (b) Bureaucracy (c) Autocracy (d)Aristocracy

228. Anything written in a letter after it is signed

(a) Posterity (b)Postdiction (c)Postscript (d)Corrigendum

229. Strong and settled dislike between two persons

(a) Apathy (b) Hatred (c) Antipathy (d)Animosity

230 A person who has no money to pay off his debts

(a) Debtor (b)Pauper (c) Beggar (d) Insolvent

231. An entertainer who performs difficult physical actions

(a) Clown (b)Gymnast (c)Magician (d)Acrobat

232 A small house with all rooms on one floor

(a) Bungalow (b)Cottage (c) Flat (d) Castle

233 A song embodying religious and sacred emotions

(a) Lyric (b)Ode (c) Hymn (d) Ballad

234. The policy of extending a country’s empire and influence

(a) Imperialism (b)Capitalism (c) Internationalism (d)Communism

235. Government by a single person

(a) Monarchy (b) Autocracy (c) Plutocracy (d) Aristocracy

236. Practice of a married woman having extra marital relationship

(a) Polygamy (b)Puberty (c) Lechery (d) Adultery

237. A workman who fits and repairs pipes

(a) Mechanic (b)Blacksmith (c) Plumber (d) Technocrat

238. Part of a church in which bells hang

(a) Minaret (b)Chapel (c) Belfry (d) Spire

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