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ARITHMETIC AND MENTAL ABILITY- PAGE 2

1. A can do a piece of work-in 80 days. He works at it for 10 days and then B alone finishes the remaining work in days. In how much time will A and B working together finish the  work? 
​(A) 28 days
(B) 30 days
(C) 29 days
(D) 31 days
Answer: 30 days

2.  A scooter wheel makes 50 revolutions to cover a distance of 88m then the radius of the wheel is
(a) 24 cm
(b)  48 cm   
(c) 28 cm
(d) 30 cm
Answer: 28 cm

3. A crate of Mangoes contains one bruised mango for every 30 mangoes in the crate. If 3 out of every 4 bruised mangoes are considered unsaleable and. there are 12 unsaleable mangoes in the crate, then how many mangoes are there in the crate?
(A)480                          
(B) 460
(C) 490                          
(D) 470
​Answer: 480

4. The mean proportional between 9 and 25 is
(A) 34
(B) 25        
(C) 15                   
(D) 225
Answer: 15

5. The positions of how many digits in the number 7354612 will remain unchanged after the digits within the number are rearranged in descending order from left to right ?
(a) None
(b) One
(c) Two
(d) Three
Ans: d


6. India’s Independence Day was celebrated in 1996 on Thursday. On what week day was it celebrated in 1993 ?
(a) Sunday
(b) Monday
(c) Wednesday
(d) Thursday
Ans: a

7. The average age of four family members is 19 years. After 2 years, their average age will increase by nearly
(a) 8%
(b) 10.5%
(c) 11.2%
(d) 12.8%
Ans: b

8. The number of boys in a class are 4 times the number of girls. Which of following number cannot be the total number of students in the class ?
(a) 40
(b) 45
(c) 42
(d) 50

Ans: c

9. A goes 4 km South, then 8 km West, then 6 km North, then 8 km East and then 2 km South. How far is A from the starting point ?
(a) 2 km
(b) 1 km
(c) 0 km
(d) 3 km

Ans: c

10. The population of a town is 1,26,800. It increases by 15% in the first year and decreases by 20% in the second year. What is the population of the town at the end of second year ?
(a) 1,74,984
(b) 1,16,656
(c) 1,45,820
(d) None of the above
Ans: b

11. If the word PEARL is written as MBXOI, how would the word DIAMOND be written in that code ?
(a) AFXJLKA
(b) AFXJKLA
(c) AFXKLNA
(d) BGYKMKB

Ans: a

12. If 5 be subtracted from both numerator and denominator of a fraction, it reduces to 1/2. If 2 be added to both numerator and denominator, it reduces to 2/3 . Then the fraction will be
(a) 14/19
(b) 5/9
(c) 15/17
(d) 12/19
Ans: d

13. If a man is called a woman, a woman is called a boy, a boy is called a girl, a girl is called a baby and a baby is called a man, then who is called a baby ? 
(a) Man
(b) Woman
(c) Boy
(d) Girl
Ans: d

14. A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6 getting 112 as the answer. The correct answer should have been
(a) 122
(b) 118
(c) 114
(d) 112

Ans: a

15. If “FEED” is coded as 20, then “BREAD” will be coded as
(a) 15
(b) 35
(c) 30
(d) 60

Ans: c

16. The average height of students in a class of 10 is 105 cm. If 20 more students with an average height of 120 cm join the class, what would be the average height of the students of the class ?
(a) 105 cm
(b) 110 cm
(c) 112 cm
(d) 115 cm

Ans: d

17. Find the next number (?) in the following series : 1, 4, 12, 32, 80, (?)
(a) 192
(b) 186
(c) 180
(d) 144

Ans: a

18. P + Q means P is brother of Q.  P – Q means P is mother of Q. P x Q means P is sister of Q. Which of the following means M is maternal uncle of R (where K is an another person) ?
(a) M + K + R
(b) M
– R + K
(c) M + K
– R
(d) M + K x
 R
Ans: c

19. Anil introduces Rohit as the son of the only brother of his father’s wife. How is Rohit related to Anil ?
(a) Maternal Brother
(b) Son
(c) Uncle
(d) Son-in-law
Ans: a

20. Rasik walks 20 m North. Then, he turns right and walks 30 m. Then, he turns right and  walks 35 m. Then he turns left and walks 15 m. Then he again turns left and walks 15 m. In which direction and how many metres away is he from his original position ?
(a) 15 metres west
(b) 30 metres east
(c) 30 metres west
(d) 45 metres east
Ans: d

21. In a coded language ‘324’ means ‘Light is bright’, ‘629’ means ‘Girl is beautiful’ and ‘5748’ means ‘I prefer bright clothes’. Here which digit stands for ‘light’ ?
(a) 3
(b) 2
(c) 4
(d) 7
Ans: a


22. Choose the pair in which the words are differently related.
(a) Car : Road
(b) Ship : Sea
(c) Rocket : Space
(d) Aeroplane : Pilot
Ans: d


23. Statements :
All books are cakes.
All cakes are apples.
Conclusions :
I. Some cakes are books.
II. No cake is book.
III. Some apples are books.
IV. All apples are books.
(a) only I follows.
(b) only either I or II follows.
(c) only I and III follow.
(d) only III or IV follows.

Ans: c

24. Find the odd one out from the following :
(a) Screw
(b) Scissors
(c) Wire
(d) Hair

​Ans: d

25. Tony was not at school on last Saturday. He was absent for four days before that. Today is Monday, the 31st of October. When was Tony first absent ?
(a) Monday, October 24
(b) Tuesday, October 25
(c) Wednesday, October 26
(d) Thursday, October 27
​Ans: b

26. A grazes 10 sheeps for 3 weeks and B grazes 15 sheeps for 4 weeks in a field. How would they divide a rent of ` 60 ?
(a) 1 : 2
(b) 2 : 3
(c) 3 : 2
(d) 2 : 1
Ans: a

27
:-'X' can complete a work in 14 days. 'Y' is 75% more efficient than 'X' in doing the work. How many days that 'Y' can finish the work?
 A:-8
 B:-9
 C:-9.5
 D:-10
Ans: A

28:-Which will come next
2, 6, 10, 14, 18, .....
 A:-24
 B:-28
 C:-22
 D:-30
Ans: C

29:-Which will come next
3, 5, 8, 12, 17, 23, .....
 A:-30
 B:-28
 C:-32
 D:-40
Ans: A
30:-The ratio of two numbers is 3 : 4. If 8 is added to each of them, their ratio is changed to 5 : 6. Find the numbers.
 A:-10, 16
 B:-12, 16
 C:-12, 18
 D:-12, 20
Ans: B

31:-Sanju bought a cycle for Rs. 500. For what price should it be sold to get a profit of 20%.
 A:-700
 B:-800
 C:-500
 D:-600
Ans: D

32:-Find the next term in the series 3, 10, 31, 94 ,....
 A:-280
 B:-182
 C:-282
 D:-283
Ans: D

33:-Find the greatest number that will exactly divide 200 and 320.
 A:-320
 B:-200
 C:-40
 D:-1600
Ans: C

34:-A can do a work in 6 days, B can do a work in 12 days. If both of them work together, then how many days the work will be finished ?
 A:-4
 B:-3
 C:-6
 D:-5
Ans: A

35:-The average age of 30 children in a class is 9 years. If the teacher's age is included the average age became 10 years. Find the Teacher's age.
 A:-35
 B:-30
 C:-38
 D:-40
Ans: D

36:-Sita travels 7 km towards north, then turns right and walk 3 km. She again turns to her right and moves 7 km forward. How far is Sita away from the starting point ?
 A:-3 km
 B:-17 cm
 C:-10 km
 D:-7 km
Ans: A

37:-If PEKING is coded as ODJHME how will you code SYDNEY ?
 A:-RHCMDY
 B:-RXCMDX
 C:-RXEPDY
 D:-RXCEDX
Ans: B

38:-Find the value of 9 + 99 + 999 + 9999 =
 A:-111006
 B:-11006
 C:-10016
 D:-11106
Ans: D

39:-3 : 16 :: 7 :
 A:-49
 B:-36
 C:-81
 D:-64
Ans: D

40:-If `12^(th)` January 1980 falls on Saturday what was the day of the week on `12^(th)`January 1979 ?
 A:-Thursday
 B:-Friday
 C:-Saturday
 D:-Sunday
Ans: B

41:-A solid sphere of radius 20 cm is melted to construct several solid spheres of radius 2 cm each. Find the number of such solid spheres.
 A:-1000
 B:-100
 C:-10
 D:-10000
Ans: A

42:-In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 s and secures 125 marks, the number of s he attempts correctly is
 A:-35
 B:-42
 C:-40
 D:-46
Ans: C

43:-In a two digit number, sum of the digits is 15. If 9 is added to the number, the digits are reversed. What is the number ?
 A:-78
 B:-96
 C:-87
 D:-69
Ans: A

44:-At what angle, the hands of a clock are inclined when it is half past 8 ?
 A:-70°
 B:-80°
 C:-75°
 D:-77°
Ans: C

45:-A train 280 m long is moving at 60 kmph. Find the time taken by the train to cross a tunnel of length 220 m
 A:-20 sec
 B:-25 sec
 C:-35 sec
 D:-30 sec
Ans: D

46:-Remya's age is 3 times that of Dhanya. After 10 years Remya's age becomes 2 times of Dhanya's age. Find the present age of Dhanya.
 A:-10
 B:-30
 C:-20
 D:-40
Ans: A
47. Find 6% of 750.
(A) 45 (B) 75 (C) 70 (D) 50
Ans: A

48. Two third of the square of a certain number is 96. What is the number ?
(A) 16 (B) 32 (C) 12 (D) 14
Ans: C

49. Which of the following cannot be the unit digit in a perfect square ?
(A) 9 (B) 7 (C) 5 (D) 1
Ans: B

50. The sum of first 50 natural numbers is :
(A) 1025 (B) 1225 (C) 925 (D) 1275
Ans: D

51. Find the least number which when increased by 8 is exactly divisible by 24, 32 and 36 .
(A) 296 (B) 288 (C) 280 (D) 272
Ans: C

52. 3 −[3 −(3 −3(3+3))]=
(A) 14 (B) 24 (C) −6 (D) −15
Ans: D

53. The least number of 4 digits which is a perfect square is :
(A) 1000 (B) 1024 (C) 1444 (D) 1009
Ans: B

54. The difference between a number and its two-fifth is 24. What is the number ?
(A) 20 (B) 16 (C) 24 (D) 40
Ans: D

55. If 6 men working on a job finish it in 40 days. In how many days 10 men will do the same job ?
(A) 20 (B) 22 (C) 32 (D) 24
Ans: D

56. The product of two numbers is 90 and the sum of their squares is 349. The sum of the numbers is :
(A) 18 (B) 33 (C) 23 (D) 42
Ans: C

57. A man travels 20 km on foot at 5 km/hr and another 10 km at 20 km/hr by bus. What is the average speed ?
(A) 1.5 km/hr (B) 5 km/hr (C) 6 km/hr (D) 6.67 km/hr
Ans: D

58. What will 60% of a number be whose 150% is 120 ?
(A) 36 (B) 48 (C) 64 (D) 42
Ans: B

59. The top of a 20m high tower makes an angle of elevation of 60 degree with the bottom of an electrical pole and angle of elevation of 308 with the top of the pole. What is the height of the electric pole ?
(A) 5m (B) 6.6m (C) 13.3m (D) 15.2m
Ans: C
60. If 5 : 4=35 : X, then the value of X is :
(A) 42 (B) 70 (C) 32 (D) 28
Ans: D
​
61. By selling a shirt of Rs. 630, a shopkeeper gains 5%. What is the cost price of the shirt ?
(A) Rs. 600 (B) Rs. 450 (C) Rs. 500 (D) Rs. 605
Ans: A

62. The capacity of a cuboidal tank is 50,000 Litres. Find the breadth of the tank if the length and depth are 2.5m and 10m respectively.
(A) 1m (B) 1.5m (C) 2m (D) 2.5m
Ans: C

63. If the diameter of a circle is doubled the area is :
(A) quadrupled (B) doubled (C) halved (D) trebled
Ans: A​

64. Rs. 250 is divided between Arun and Sasi, and Arun gets 100. Find the ratio of division of the amount.
(A) 4 : 3 (B) 5 : 1 (C) 2 : 3 (D) 1 : 3
Ans: C

65. LCM of the numbers 3, 4 and 5 is :
(A) 12 (B) 20 (C) 15 (D) 60
Ans: D

66. 130 deg F is equal to :
(A) 54.4 deg C (B) 40.2 deg C (C) 65.5 deg C (D) 90 deg C
Ans: A

67. 20 gallons is equal to :
(A) 10 Litres (B) 9.1 Litres (C) 91.2 Litres (D) 200 Litres
Ans: C
68. If A : B=3 : 5 and B : C=4 : 7, then A : B : C=?
(A) 15 : 20 : 30 (B) 30 : 20 : 35 (C) 12 : 20 : 35 (D) 30 : 10 : 12
Ans: C

69. The sum of four times a number and 9 is same as one-third that number increased by 31. Find the number.
(A) 6 (B) 3 (C) 2 (D) 12
Ans: A

70. The binary number equal to the numeral 12 is :
(A) 1001 (B) 1110 (C) 1010 (D) 1100
Ans: D
​71:-The age of Ravi's father is 3 times more than that of Ravi and the difference between their ages is 20. Find the age of Ravi.
A:-15
B:-10
C:-20
D:-25
Ans: B

72:-3.12 × 3.12 + 6.24 × 6.88 + 6.88 × 6.88
A:-`(3.12)^(2)` ` `

B:-`(6.88)^(2)`
​C:-`9^(2)`

D:-`10^(2)`
Ans: D

73:-A person bought a thing for Rs. 90 and sold it for 90 Rs. and 90 paise. Find out the profit percentage.
A:-1
B:-2
C:-1.5

D:-1.25
Ans: A

74:-If 18 persons can do a work in 28 days, how many persons are needed to complete the same work in 24 days.
A:-18
B:-21
C:-19
D:-22
Ans: B

75:-If we add 20 with 20% of a number we get the same number. Which is that number ?
A:-25
B:-40
C:-30
D:-35
Ans: A

76:-A car runs in a uniform speed of 40 km can complete a particular distance within 9 hours. In order to completed the same distance within six hours what could be the increased speed ?
A:-60
B:-30
C:-25
D:-20
Ans: D

77:-The average age of 25 students in a class is 14. When we add a student in that group the average age is increased to 14.5. Find the age of the new one.
A:-22
B:-27
C:-25
D:-15
Ans: B

78:-Find the next term of the sequence `1/2` , `2/5` , `3/10` , `4/17` ,                                                     
A:-`5/24`

B:-`5/26`
C:-`5/27`

D:-`5/29`
Ans: B

79:-How many 3 digit numbers can be formed using the digits 1, 2, 3, 4 and 5 if the repetition of digits is not allowed?
A:-15
B:-125
C:-60
D:-None of these
Ans: C

80:-What is the area of a square having perimeter 68 cms ?
A:-361 `cm^(2)`
B:-289 `cm^(2)`
C:-269 `cm^(2)`
D:-369 `cm^(2)`

Ans: B​
81:-Find the odd man out 6, 12, 21, 30, 42
A:-12
B:-21
C:-30
D:-42
Ans: B

82:-One angle of a right angled triangle is 35°. Which of the following is one of its angles ?
A:-45
B:-60
C:-55
D:-90
Ans: C

83:-743 + 958 = ? % of 5670.
A:-34
B:-26
C:-30
D:-22
Ans: C

84:-Ramu invested Rs. 2,500/- in a bank with rate of simple interest 12%. How many rupees does he receive after 1½ years ?
A:-2,750
B:-3,000
C:-2,950
D:-3,100
Ans: C

85:-A 220 metres long train crosses a signal pole in 12 seconds. What is the speed of the train in kmph ?
A:-72
B:-60
C:-66
D:-69
Ans: C

86:-In an examination with 100 s, a correct answer will score 1 mark and a wrong answer will loss 1 mark. If a person attended 100 s and get 90 marks, how many s be answered correctly ?
A:-90
B:-95
C:-100
D:-None of these
Ans: B

87:-0.16 ÷ 0.2 =
A:-8
B:-0.8
C:-0.08
D:-0.008
Ans: B

88:-Find 25% of 25%
A:-0.25
B:-0.625
C:-0.0625
D:-None of these
Ans: C

89:-A mother has six daughters and each daughter has six children. How many members are there ?
A:-13
B:-37
C:-43
D:-42
Ans: C

90. What is the next number of the series 3, 7, 19, 55, .......
(A) 108 (B) 142 (C) 171 (D) 163
Ans: D

91. GRAPES is written as 459371 in certain code.  How should SPARE should be written in that code ?
(A) 35179 (B) 43975 (C) 13957 (D) 19375

Ans: C

92. Which letter is 5th to the left of the 14th letter from the right end of the English alphabet ?
(A) H (B) R (C) S (D) I

Ans: A

93. Find the odd one Z U Q M L K.
(A) Q (B) L (C) K (D) M

Ans: D

94. On the 20th January 2012, it was Friday.  What was the day on 15th April 2012 ?
(A) Saturday (B) Sunday (C) Monday (D) Friday

Ans: B

95. What is the angle between the two hands of a clock when the clock show 4.40 PM ?
(A) 1008 (B) 1208 (C) 1408 (D) 808

Ans: A

96. Showing a girl Syam said “She is the sister of my uncle’s Son”.  How is Syam related to the girl ?
(A) Wife (B) Sister-in-law (C) Sister (D) Cousin

Ans: D

97. Gopu started from a point and went 8 m north, turned right and moved 6 m.  How far is he away from his starting point ?
(A) 14 m (B) 12 m (C) 10 m (D) 7 m
Ans: C

98. If A denotes ÷, B denotes ×, C denotes −, D denotes + then 18 D 24 A 3 B 7 C 14 :
(A) 84 (B) 60 (C) 174 (D) None of these
Ans: B
99. Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of 200 marks. It was observed that the mean of group P was 105, while that of group Q was 85. The standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?
(A)   No student in group Q scored less marks than any student in group P.
(B)   No student in group P scored less marks than any student in group Q.
(C)   Most students of group Q scored marks in a narrower range than students in group P.
(D)   The median of the marks of group P is 100. 
Ans: C
 
100. A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the city, something which critics argue, will lead to a surveillance state. 
Which of the following can be logically inferred from the above paragraph?
(i) All smart cities encourage the formation of surveillance states. (ii) Surveillance is an integral part of a smart city. (iii) Sustainability and surveillance go hand in hand in a smart city. (iv) There is a perception that smart cities promote surveillance.
(A)   (i) and (iv) only (B)   (ii) and (iii) only
(C)   (iv) only (D)   (i) only
Ans: C
​
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