## **ARITHMETIC AND MENTAL ABILITY**

**ARITHMETIC AND MENTAL ABILITY TOPICS**

(These syllabus may change from time to time. Please check with the relevant Public Service Commission websites for any changes in the syllabus)

- Comprehension
- Interpersonal skills including communication skills
- Logical reasoning and analytical ability
- Decision making and problem solving
- General mental ability
- Basic numeracy (numbers and their relations, orders of magnitude etc.) (Class X level), Data Interpretation (charts, graphs, tables, data sufficiency etc. - Class X level)
- Mental Ability Test- Analogy, series completion, coding-decoding, blood relations, logical venn diagrams, alphabetical test, number ranking and time sequence test, mathematical operations, arithmetical reasoning, data interpretation, data sufficiency, cubes and dice, construction of sequences and triangles.
- Statistics (Secondary Level) Collection of data, presentation of data, graphical representation of data, measures of central tendency, mean, mode, median of ungrouped and grouped data.
- Mathematics (Secondary Level) Natural, rational and irrational numbers, real numbers and their decimal expansions, operations on real numbers, laws of exponents for real numbers, rational numbers and their decimal expansions. Zeroes of a polynomial. Relationship between zeroes and coefficients of a polynomial. Division algorithm for polynomials. Algebraic methods of solution of pair of linear equations in two variables.
- Mensuration : Surface area of a cuboid and a cube, right circular cylinder, right circular cone, sphere. Volume of a cuboid, cylinder, right circular cone and sphere, Surface area and volume of a combination of solids conversion of solid from shape to another.

1. The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.

(A) 39 (B) 57 (C) 66 (D) 93

Ans: A

2. Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the availability of evidence today. Which of the following can be logically inferred from the above sentences?

(A) Emperors who do not leave significant sculpted evidence are completely forgotten.

(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.

(C) Statues of kings are a reminder of their greatness.

(D) A king’s greatness, as we know him today, is interpreted by historians.

Ans: D

3. Fact 1: Humans are mammals.

Fact 2: Some humans are engineers.

Fact 3: Engineers build houses.

If the above statements are facts, which of the following can be logically inferred?

I. All mammals build houses.

II. Engineers are mammals.

III. Some humans are not engineers.

(A) II only. (B) III only.

(C) I, II and III. (D) I only.

Ans: B

4. Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.

(A) 1 (B) 2 (C) 3 (D) 4

Ans: C

5:-Average of first four even multiple of 3 is

A:-15

B:-16

C:-21

D:-12

Ans: A

6:-3`xx`14÷2 of 7 = ?

A:-21

B:-147

C:-98

D:-3

Ans: D

7:-If 8 men or 12 women can do a piece of work in 25 days then in how many days can 6 men and 11 women do the same piece of work ?

A:-10

B:-15

C:-18

D:-21

Ans: B

8:-A fractional number lies between `(1)/(3)` and `(3)/(4)` is

A:-Greater than 1

B:-Equal to 1

C:-Less than 1

D:-None

Ans: C

(A) 39 (B) 57 (C) 66 (D) 93

Ans: A

2. Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the availability of evidence today. Which of the following can be logically inferred from the above sentences?

(A) Emperors who do not leave significant sculpted evidence are completely forgotten.

(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.

(C) Statues of kings are a reminder of their greatness.

(D) A king’s greatness, as we know him today, is interpreted by historians.

Ans: D

3. Fact 1: Humans are mammals.

Fact 2: Some humans are engineers.

Fact 3: Engineers build houses.

If the above statements are facts, which of the following can be logically inferred?

I. All mammals build houses.

II. Engineers are mammals.

III. Some humans are not engineers.

(A) II only. (B) III only.

(C) I, II and III. (D) I only.

Ans: B

4. Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.

(A) 1 (B) 2 (C) 3 (D) 4

Ans: C

5:-Average of first four even multiple of 3 is

A:-15

B:-16

C:-21

D:-12

Ans: A

6:-3`xx`14÷2 of 7 = ?

A:-21

B:-147

C:-98

D:-3

Ans: D

7:-If 8 men or 12 women can do a piece of work in 25 days then in how many days can 6 men and 11 women do the same piece of work ?

A:-10

B:-15

C:-18

D:-21

Ans: B

8:-A fractional number lies between `(1)/(3)` and `(3)/(4)` is

A:-Greater than 1

B:-Equal to 1

C:-Less than 1

D:-None

Ans: C

9:-A shopkeeper sold 16 chairs at the cost price of 10 chairs. Find his loss or gain percent.

A:-10% loss

B:-10% gain

C:-60% loss

D:-60% gain

Ans: C

10:-If A:B = 2:3 and B:C = 5:6 then A:B:C is

A:-2:3:6

B:-2:8:6

C:-8:12:15

D:-10:15:18

Ans: D

11:-(5°-4°)×(5°+4°) = ?

A:-0

B:-`1`

C:-2

D:-9

Ans: A

12:-A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid ?

A:-250

B:-450

C:-300

D:-400

Ans: B

13:-What percent of 158000 is 4740 ?

A:-1%

B:-5%

C:-10%

D:-3%

Ans: D

14:-If a man goes to a place at an average speed of 10 km/h and then returns at the average speed of 15 km/h. If he takes 10 hrs. in all. Find the total distance covered by him.

A:-120 km

B:-125 km

C:-130 km

D:-150 km

Ans: A

15:-Find the missing term.

E3M, H7J, K15G, N31D, ?

A:-Q65A

B:-Q63A

C:-P63A

D:-Q63Z

Ans: B

16:-If × means +, + means ÷, ÷ means –, – means × then what is 8×2–3÷10+5

A:-12

B:-15

C:-10

D:-18

Ans: A

17:-Find odd man out : 14, 21, 28, 34, 42, 49

A:-21

B:-28

C:-34

D:-42

Ans: C

18:-If in a code language CLERK is codded as AHYJA then JOB is coded as

A:-HKW

B:-HKU

C:-HKV

D:-HLW

Ans: C

19:-January 1, 2008 is Tuesday. What day of the week lies on January 1, 2009 ?

A:-Wednesday

B:-Tuesday

C:-Monday

D:-Thursday

Ans: D

20:-Rahul traveled 8 km straight towards South. He turned left and traveled 12 km straight. Then turned right and traveled 8 km straight. How far is he from the starting point ?

A:-16 km

B:-20 km

C:-24 km

D:-18 km

Ans: B

21:-'Fly' is related to 'Parrot' in the same way 'Creep' is related to what ?

A:-Snake

B:-Rabbit

C:-Fish

D:-Crocodile

Ans: A

22:-Pointing to a woman, a man said, "Her father is the only son of my father". How is the man related to the woman ?

A:-Brother

B:-Grandfather

C:-Father

D:-Son

Ans: C

23:-An accurate clock shows 10 O' Clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 4 O' Clock in the afternoon ?

A:-144°

B:-150°

C:-169°

D:-180°

Ans: D

24:-Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number.

A:-10

B:-4

C:-17

D:-15

Ans: B

A:-10% loss

B:-10% gain

C:-60% loss

D:-60% gain

Ans: C

10:-If A:B = 2:3 and B:C = 5:6 then A:B:C is

A:-2:3:6

B:-2:8:6

C:-8:12:15

D:-10:15:18

Ans: D

11:-(5°-4°)×(5°+4°) = ?

A:-0

B:-`1`

C:-2

D:-9

Ans: A

12:-A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid ?

A:-250

B:-450

C:-300

D:-400

Ans: B

13:-What percent of 158000 is 4740 ?

A:-1%

B:-5%

C:-10%

D:-3%

Ans: D

14:-If a man goes to a place at an average speed of 10 km/h and then returns at the average speed of 15 km/h. If he takes 10 hrs. in all. Find the total distance covered by him.

A:-120 km

B:-125 km

C:-130 km

D:-150 km

Ans: A

15:-Find the missing term.

E3M, H7J, K15G, N31D, ?

A:-Q65A

B:-Q63A

C:-P63A

D:-Q63Z

Ans: B

16:-If × means +, + means ÷, ÷ means –, – means × then what is 8×2–3÷10+5

A:-12

B:-15

C:-10

D:-18

Ans: A

17:-Find odd man out : 14, 21, 28, 34, 42, 49

A:-21

B:-28

C:-34

D:-42

Ans: C

18:-If in a code language CLERK is codded as AHYJA then JOB is coded as

A:-HKW

B:-HKU

C:-HKV

D:-HLW

Ans: C

19:-January 1, 2008 is Tuesday. What day of the week lies on January 1, 2009 ?

A:-Wednesday

B:-Tuesday

C:-Monday

D:-Thursday

Ans: D

20:-Rahul traveled 8 km straight towards South. He turned left and traveled 12 km straight. Then turned right and traveled 8 km straight. How far is he from the starting point ?

A:-16 km

B:-20 km

C:-24 km

D:-18 km

Ans: B

21:-'Fly' is related to 'Parrot' in the same way 'Creep' is related to what ?

A:-Snake

B:-Rabbit

C:-Fish

D:-Crocodile

Ans: A

22:-Pointing to a woman, a man said, "Her father is the only son of my father". How is the man related to the woman ?

A:-Brother

B:-Grandfather

C:-Father

D:-Son

Ans: C

23:-An accurate clock shows 10 O' Clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 4 O' Clock in the afternoon ?

A:-144°

B:-150°

C:-169°

D:-180°

Ans: D

24:-Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number.

A:-10

B:-4

C:-17

D:-15

Ans: B

25:-If 15 apples and 20 oranges cost as much as 20 apples and 15 oranges, which of the following conclusions is correct.

A:-Orange and apples have identical prices

B:-Orange's price is double that of apple

C:-Non conclusion can be drawn

D:-Apple is cheater than orange

Ans: A

26:-In a class, Ann's rank is `15^(th)` from the top and`21^(th)` from the bottom. How many students are there in the class ?

A:-31

B:-36

C:-35

D:-None of these

Ans: C

27:-If P is the husband of Q and R is the mother of S and Q. What is R to P ?

A:-Mother

B:-Sister

C:-Aunt

D:-Mother in law

Ans: D

28:-If BOY is Coded as ACNPXZ, what would be the code for LIFE ?

A:-KMHJEGDF

B:-LMGHEGDF

C:-LMHJGEFD

D:-None of these

Ans: A

29:-A, B, C, D and E are 5 Boys, A is shorter than B, but longer than E. C is the longest and D is little shorter than B and a little longer than A which comes in the middle according to size

A:-A

B:-B

C:-C

D:-D

Ans: D

30:-If the following members are written in the ascending order, then what will be the middle digit of the middle term ?

815, 686, 795, 835, 765, 822, 719

A:-8

B:-1

C:-3

D:-9

Ans: D

31:-In an examination 40% of the students fail in Math's, 30% in English and 15% in both. Find the pass percentage

A:-50%

B:-65%

C:-30%

D:-45%

Ans: D

32:-What angle will the two hands of a clock make at 6.20 a.m. ?

A:-60°

B:-70°

C:-75°

D:-45°

Ans: B

33:-Facing to South Juan turns in certain ways, which of the following turns will not lead him to the same side ?

A:-left, left, right, left, left, right

B:-left, left, left, right, right, right

C:-left, right, left, right, left, right

D:-right, left, right, left, right, left

Ans: A

A:-Orange and apples have identical prices

B:-Orange's price is double that of apple

C:-Non conclusion can be drawn

D:-Apple is cheater than orange

Ans: A

26:-In a class, Ann's rank is `15^(th)` from the top and`21^(th)` from the bottom. How many students are there in the class ?

A:-31

B:-36

C:-35

D:-None of these

Ans: C

27:-If P is the husband of Q and R is the mother of S and Q. What is R to P ?

A:-Mother

B:-Sister

C:-Aunt

D:-Mother in law

Ans: D

28:-If BOY is Coded as ACNPXZ, what would be the code for LIFE ?

A:-KMHJEGDF

B:-LMGHEGDF

C:-LMHJGEFD

D:-None of these

Ans: A

29:-A, B, C, D and E are 5 Boys, A is shorter than B, but longer than E. C is the longest and D is little shorter than B and a little longer than A which comes in the middle according to size

A:-A

B:-B

C:-C

D:-D

Ans: D

30:-If the following members are written in the ascending order, then what will be the middle digit of the middle term ?

815, 686, 795, 835, 765, 822, 719

A:-8

B:-1

C:-3

D:-9

Ans: D

31:-In an examination 40% of the students fail in Math's, 30% in English and 15% in both. Find the pass percentage

A:-50%

B:-65%

C:-30%

D:-45%

Ans: D

32:-What angle will the two hands of a clock make at 6.20 a.m. ?

A:-60°

B:-70°

C:-75°

D:-45°

Ans: B

33:-Facing to South Juan turns in certain ways, which of the following turns will not lead him to the same side ?

A:-left, left, right, left, left, right

B:-left, left, left, right, right, right

C:-left, right, left, right, left, right

D:-right, left, right, left, right, left

Ans: A

34:-Ram's present age is one-fourth of his father's present age. If the difference between their present ages is 18 years, then what is Ram's present age ?

A:-10 Years

B:-8 Years

C:-6 Years

D:-12 Years

Ans: C

35:-In an examination, a candidate scores 2 marks for every correct answer and losses 1 mark for every wrong answer. A candidate attempts all the 100 s and scores 56 marks. How many s did he answer correctly ?

A:-52

B:-48

C:-60

D:-56

Ans: A

36:-By selling an umbrella for Rs. 300 a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the market price. Find his gain percent during the sale season.

A:-4%

B:-8%

C:-20%

D:-6%

Ans: B

37:-In a bag, there are coins of 50 paise, 25 paise and 1 Rupee in the ratio of 5 : 6 : 2. If there are in all Rs. 48 in the bag. How many coins if Rs. 50 paise do the bag have ?

A:-42

B:-16

C:-48

D:-40

Ans: D

38:-The 14th term of the series 1, 3, 6, 10, 15, ........... is

A:-105

B:-110

C:-115

D:-124

Ans: A

A:-10 Years

B:-8 Years

C:-6 Years

D:-12 Years

Ans: C

35:-In an examination, a candidate scores 2 marks for every correct answer and losses 1 mark for every wrong answer. A candidate attempts all the 100 s and scores 56 marks. How many s did he answer correctly ?

A:-52

B:-48

C:-60

D:-56

Ans: A

36:-By selling an umbrella for Rs. 300 a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the market price. Find his gain percent during the sale season.

A:-4%

B:-8%

C:-20%

D:-6%

Ans: B

37:-In a bag, there are coins of 50 paise, 25 paise and 1 Rupee in the ratio of 5 : 6 : 2. If there are in all Rs. 48 in the bag. How many coins if Rs. 50 paise do the bag have ?

A:-42

B:-16

C:-48

D:-40

Ans: D

38:-The 14th term of the series 1, 3, 6, 10, 15, ........... is

A:-105

B:-110

C:-115

D:-124

Ans: A

39. Complete the following sentence : If you worked hard, _______ .

(A) you will pass the examination (B) you had passed the examination

(C) you would pass the examination (D) you would have passed the examination

Ans: C

40. Janaki and Janu can do a piece of work in 8 days. Janaki alone can do it in 12 days. How long would Janu take to do the same work ?

(A) 22 days (B) 20 days

(C) 26 days (D) 24 days

Ans: D

41. If 45% of the students in a school are boys and no. of girls is 1100, find out the no. of boys.

(A) 900 (B) 1500

(C) 1350 (D) 2000

Ans: A

42. One sixth of a certain number decreased by 5 is equal to 2. Find the number.

(A) 12 (B) 18

(C) 30 (D) 42

Ans: D

43. The average of three numbers is 20. If each of these numbers is doubled, what is the average ?

(A) 20 (B) 40

(C) 10 (D) 30

Ans: B

44. Find the compound interest on ` 2,000 for 2 years at 15% per annum compounded annually.

(A) 645 (B) 735

(C) 900 (D) 1000

Ans: A

45. If cost price of 25 books is equal to selling price of 20 books, then calculate the gain or loss percent.

(A) 80 (B) 20

(C) 25 (D) 50

Ans: C

46. If in a certain language RANGE is coded as 12345, then find the code for ANGER.

(A) 23451 (B) 14352

(C) 23154 (D) 12453

Ans: A

47. Which is the odd one : 8, 27, 16, 64 ?

(A) 64 (B) 27

(C) 16 (D) 8

Ans: C

48. It was FRIDAY on 4th December, 2015. What was the day on 4th December, 2016 ?

(A) Monday (B) Saturday

(C) Friday (D) Sunday

Ans: D

49. If a mirror image shows 11.15, what is the exact time ?

(A) 2.45 (B) 12.45

(C) 9.15 (D) 10.45

063/2018 14 A

Ans: B

50. Brick : House; Protein : ______

(A) Fish (B) Body

(C) Milk (D) Soyabean

Ans: B

(A) you will pass the examination (B) you had passed the examination

(C) you would pass the examination (D) you would have passed the examination

Ans: C

40. Janaki and Janu can do a piece of work in 8 days. Janaki alone can do it in 12 days. How long would Janu take to do the same work ?

(A) 22 days (B) 20 days

(C) 26 days (D) 24 days

Ans: D

41. If 45% of the students in a school are boys and no. of girls is 1100, find out the no. of boys.

(A) 900 (B) 1500

(C) 1350 (D) 2000

Ans: A

42. One sixth of a certain number decreased by 5 is equal to 2. Find the number.

(A) 12 (B) 18

(C) 30 (D) 42

Ans: D

43. The average of three numbers is 20. If each of these numbers is doubled, what is the average ?

(A) 20 (B) 40

(C) 10 (D) 30

Ans: B

44. Find the compound interest on ` 2,000 for 2 years at 15% per annum compounded annually.

(A) 645 (B) 735

(C) 900 (D) 1000

Ans: A

45. If cost price of 25 books is equal to selling price of 20 books, then calculate the gain or loss percent.

(A) 80 (B) 20

(C) 25 (D) 50

Ans: C

46. If in a certain language RANGE is coded as 12345, then find the code for ANGER.

(A) 23451 (B) 14352

(C) 23154 (D) 12453

Ans: A

47. Which is the odd one : 8, 27, 16, 64 ?

(A) 64 (B) 27

(C) 16 (D) 8

Ans: C

48. It was FRIDAY on 4th December, 2015. What was the day on 4th December, 2016 ?

(A) Monday (B) Saturday

(C) Friday (D) Sunday

Ans: D

49. If a mirror image shows 11.15, what is the exact time ?

(A) 2.45 (B) 12.45

(C) 9.15 (D) 10.45

063/2018 14 A

Ans: B

50. Brick : House; Protein : ______

(A) Fish (B) Body

(C) Milk (D) Soyabean

Ans: B

51. If A stands for +, B stands for –, C stands for ·, then what is the value of (10C4) A (4C4) – 6 ?

(A) 50 (B) 20

(C) 56 (D) 60

Ans: A

52. Pointing to a man, a woman said his mother is the only daughter of my mother. How is the woman related to the man ?

(A) Grandmother (B) Daughter

(C) Mother (D) Sister

Ans: C

53. What is the value of 0.555555 ‚÷ 0.11 ?

(A) 0.555 (B) 0.50505

(C) 5.0505 (D) 55.055

Ans: C

54. Arjun turned left after walking 10 m and covered a distance of 6 m, then turned right and covered a distance of 20 m. In the end, he was moving towards the west. From which direction did Arjun start his journey ?

(A) North (B) East

(C) South (D) West

Ans: B

55. Find the angle made by the minute hand in 50 minutes.

(A) 300 (B) 240

(C) 200 (D) 320

Ans: A

56. Find the missing sequence in the letter series.

B, FH, LNP, _ _ _ _.

(A) SUWY (B) TUVW (C) TVXZ (D) TWXZ

Ans: C

57. What are the last two digit of the number 745 ?

(A) 07 (B) 23 (C) 49 (D) 43

Ans: A

58. The largest natural number which exactly divides the product of any four consecutive natural numbers is

(A) 120 (B) 24 (C) 12 (D) 6

Ans: B

59. If 520 mangoes can be bought for Rs. 600, how many can be bought for Rs.1500 ?

(A) 1040 (B) 1200 (C) 1300 (D) 1560

Ans: C

60. In an examination 86% of the candidates passed and 224 failed. How many candidates appeared for the exam ?

(A) 800 (B) 1540 (C) 1600 (D) 3136

Ans: C

61. Raju & Tom together can do a work in 10 days. Tom & Appu together can do it in 12 days. Appu & Raju together can do it in 15 days. In how many days will they finish it if all the three work together ?

(A) 8 days (B) 4 days (C) 4.5 days (D) 9.5 days

Ans: A

62. Area of the largest triangle that can be inscribed in a semicircle of radius 2 cm is

(A) 2 cm2 (B) 4 cm2 (C) 2.8 cm2 (D) 4 p cm2

Ans: B

63. If Maya goes to office at a speed of 40 km/hr, she reaches 5 minutes late. If she travels at the speed of 60 km/hr, she is 10 minutes early. What is the distance to office from her home ?

(A) 30 km (B) 40 km (C) 50 km (D) 35 km

Ans: A

64. Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully

make exactly 6 free throws in 10 attempts?

(A) 0.2508 (B) 0.2816 (C) 0.2934 (D) 0.6000

Ans: A

65. Today 10th May 2018 is a Thursday. What day of the week will it be on 25th December, 2018 ?

(A) Wednesday (B) Sunday (C) Monday (D) Tuesday

Ans: D

66. The ratio between the ages of Appu and Ryan at present is 3 : 4. Five years ago the ratio of their ages was 2 : 3. What is the present age of Appu ?

(A) 15 years (B) 20 years (C) 12 years (D) 30 years

Ans: A

67. What day of the week will be on 8th June 2215 ?

(A) Friday (B) Thursday (C) Monday (D) Sunday

Ans: B

68. What will come in the place of “?” : EG, HJ, KM, NP, ?

(A) QS (B) QR (C) QT (D) RS

Ans: A

69. Find 10 + 10 · 10 ‚ 10 – 10

(A) 0 (B) 10 (C) 100 (D) 1

Ans: B

70. The simple interest on a sum of money is equal to the principal and number of years is equal to the rate percent per annum. Find the rate percent.

(A) 15% (B) 20% (C) 12% (D) 10%

Ans: D

71. How long will a 150 m long train running at a speed of 60 kmph take to cross the bridge of 300 m long ?

(A) 37 seconds (B) 35 seconds (C) 25 seconds (D) 27 seconds

Ans: D

72. The ratio of ages of Monu and Sonu at present is 4 : 1. Eight years ago Monu’s age was 10 times the age of Sonu. What is the present age of Monu ?

(A) 48 (B) 44 (C) 46 (D) 42

Ans: A

73. What will be the next term 7, 12, 19, ______ ?

(A) 26 (B) 28 (C) 30 (D) 24

Ans: B

74. Rony walked 20 m towards North, then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. How many metres is he from the starting position ?

(A) 45 m (B) 35 m (C) 55 m (D) 15 m

Ans: A

75. A tank can be filled by pipe A in 6 hours and by pipe B in 3 hours, each pump working on its own. When the tank is full and a drainage hole is open, the water is drained in 4 hours. If initially the tank was empty and someone started the two pump together, but left the drainage hole open, how long does it take for the tank to be filled ?

(A) 6 hours (B) 8 hours (C) 4 hours (D) 12 hours

Ans: C

(A) 50 (B) 20

(C) 56 (D) 60

Ans: A

52. Pointing to a man, a woman said his mother is the only daughter of my mother. How is the woman related to the man ?

(A) Grandmother (B) Daughter

(C) Mother (D) Sister

Ans: C

53. What is the value of 0.555555 ‚÷ 0.11 ?

(A) 0.555 (B) 0.50505

(C) 5.0505 (D) 55.055

Ans: C

54. Arjun turned left after walking 10 m and covered a distance of 6 m, then turned right and covered a distance of 20 m. In the end, he was moving towards the west. From which direction did Arjun start his journey ?

(A) North (B) East

(C) South (D) West

Ans: B

55. Find the angle made by the minute hand in 50 minutes.

(A) 300 (B) 240

(C) 200 (D) 320

Ans: A

56. Find the missing sequence in the letter series.

B, FH, LNP, _ _ _ _.

(A) SUWY (B) TUVW (C) TVXZ (D) TWXZ

Ans: C

57. What are the last two digit of the number 745 ?

(A) 07 (B) 23 (C) 49 (D) 43

Ans: A

58. The largest natural number which exactly divides the product of any four consecutive natural numbers is

(A) 120 (B) 24 (C) 12 (D) 6

Ans: B

59. If 520 mangoes can be bought for Rs. 600, how many can be bought for Rs.1500 ?

(A) 1040 (B) 1200 (C) 1300 (D) 1560

Ans: C

60. In an examination 86% of the candidates passed and 224 failed. How many candidates appeared for the exam ?

(A) 800 (B) 1540 (C) 1600 (D) 3136

Ans: C

61. Raju & Tom together can do a work in 10 days. Tom & Appu together can do it in 12 days. Appu & Raju together can do it in 15 days. In how many days will they finish it if all the three work together ?

(A) 8 days (B) 4 days (C) 4.5 days (D) 9.5 days

Ans: A

62. Area of the largest triangle that can be inscribed in a semicircle of radius 2 cm is

(A) 2 cm2 (B) 4 cm2 (C) 2.8 cm2 (D) 4 p cm2

Ans: B

63. If Maya goes to office at a speed of 40 km/hr, she reaches 5 minutes late. If she travels at the speed of 60 km/hr, she is 10 minutes early. What is the distance to office from her home ?

(A) 30 km (B) 40 km (C) 50 km (D) 35 km

Ans: A

64. Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully

make exactly 6 free throws in 10 attempts?

(A) 0.2508 (B) 0.2816 (C) 0.2934 (D) 0.6000

Ans: A

65. Today 10th May 2018 is a Thursday. What day of the week will it be on 25th December, 2018 ?

(A) Wednesday (B) Sunday (C) Monday (D) Tuesday

Ans: D

66. The ratio between the ages of Appu and Ryan at present is 3 : 4. Five years ago the ratio of their ages was 2 : 3. What is the present age of Appu ?

(A) 15 years (B) 20 years (C) 12 years (D) 30 years

Ans: A

67. What day of the week will be on 8th June 2215 ?

(A) Friday (B) Thursday (C) Monday (D) Sunday

Ans: B

68. What will come in the place of “?” : EG, HJ, KM, NP, ?

(A) QS (B) QR (C) QT (D) RS

Ans: A

69. Find 10 + 10 · 10 ‚ 10 – 10

(A) 0 (B) 10 (C) 100 (D) 1

Ans: B

70. The simple interest on a sum of money is equal to the principal and number of years is equal to the rate percent per annum. Find the rate percent.

(A) 15% (B) 20% (C) 12% (D) 10%

Ans: D

71. How long will a 150 m long train running at a speed of 60 kmph take to cross the bridge of 300 m long ?

(A) 37 seconds (B) 35 seconds (C) 25 seconds (D) 27 seconds

Ans: D

72. The ratio of ages of Monu and Sonu at present is 4 : 1. Eight years ago Monu’s age was 10 times the age of Sonu. What is the present age of Monu ?

(A) 48 (B) 44 (C) 46 (D) 42

Ans: A

73. What will be the next term 7, 12, 19, ______ ?

(A) 26 (B) 28 (C) 30 (D) 24

Ans: B

74. Rony walked 20 m towards North, then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. How many metres is he from the starting position ?

(A) 45 m (B) 35 m (C) 55 m (D) 15 m

Ans: A

75. A tank can be filled by pipe A in 6 hours and by pipe B in 3 hours, each pump working on its own. When the tank is full and a drainage hole is open, the water is drained in 4 hours. If initially the tank was empty and someone started the two pump together, but left the drainage hole open, how long does it take for the tank to be filled ?

(A) 6 hours (B) 8 hours (C) 4 hours (D) 12 hours

Ans: C

76. In answering a quiz, ‘no’ counts –1, ‘yes’ counts +1 and ‘don’t know’ counts 0 (zero).

What is the average value of 5 no’s, 15 yes’s and 5 don’t know’s ?

(a) 0.04 (b) 0.4 (c) 4.0 (d) 40

Ans: B

77. Choose the one from the following which is different from the other according to some rule ?

Copper, Zinc, Brass, Iron

(a) Zinc (b) Copper (c) Iron (d) Brass

Ans: D

78. Which word can be formed from the letters of the following word ?

VENTURESOME

(a) ROSTRUM (b) TRAVERSER (c) SERMON (d) SEVENTEEN

Ans: C

79. F is the brother of A. C is the daughter of A. K is the sister of F. G is the brother of C. Who is the uncle of G ?

(a) A (b) C (c) F (d) K

Ans: C

80. The angle between the minute hand and the hour hand of a clock when the time is 4:20 is

(a) 5° (b) 10° (c) 20° (d) 0°

Ans: B

81. The area of the largest circle which can be drawn inside a rectangle with sides 18 cms and 14 cms, is

(a) 49 cm2

(b) 154 cm2

(c) 378 cm2

(d) 1078 cm2

Ans: B

82. In a Queue, A is eighteenth from the front while B is sixteenth from the end. If C is twenty-fifth from the front and is exactly in the middle of A and B, then how many persons are there in the Queue ?

(a) 47 (b) 46 (c) 45 (d) 48

Ans: A

83. A man in a train notices that he can count 21 telephone posts in one minute. If every two adjacent posts are 50 metres apart, at what speed is the train moving ?

(a) 55 km/hr (b) 57 km/hr (c) 60 km/hr (d) 63 km/hr

Ans: C

84. If in a certain code ‘DOWN’ is written as ‘3 @ 9 #’ and ‘NAME’ is written as ‘# 6 % 5’, how is ‘MODE’ written in that code ?

(a) % 6 5 3 (b) % @ 3 # (c) 6 % 5 3 (d) % @ 3 5

Ans: D

What is the average value of 5 no’s, 15 yes’s and 5 don’t know’s ?

(a) 0.04 (b) 0.4 (c) 4.0 (d) 40

Ans: B

77. Choose the one from the following which is different from the other according to some rule ?

Copper, Zinc, Brass, Iron

(a) Zinc (b) Copper (c) Iron (d) Brass

Ans: D

78. Which word can be formed from the letters of the following word ?

VENTURESOME

(a) ROSTRUM (b) TRAVERSER (c) SERMON (d) SEVENTEEN

Ans: C

79. F is the brother of A. C is the daughter of A. K is the sister of F. G is the brother of C. Who is the uncle of G ?

(a) A (b) C (c) F (d) K

Ans: C

80. The angle between the minute hand and the hour hand of a clock when the time is 4:20 is

(a) 5° (b) 10° (c) 20° (d) 0°

Ans: B

81. The area of the largest circle which can be drawn inside a rectangle with sides 18 cms and 14 cms, is

(a) 49 cm2

(b) 154 cm2

(c) 378 cm2

(d) 1078 cm2

Ans: B

82. In a Queue, A is eighteenth from the front while B is sixteenth from the end. If C is twenty-fifth from the front and is exactly in the middle of A and B, then how many persons are there in the Queue ?

(a) 47 (b) 46 (c) 45 (d) 48

Ans: A

83. A man in a train notices that he can count 21 telephone posts in one minute. If every two adjacent posts are 50 metres apart, at what speed is the train moving ?

(a) 55 km/hr (b) 57 km/hr (c) 60 km/hr (d) 63 km/hr

Ans: C

84. If in a certain code ‘DOWN’ is written as ‘3 @ 9 #’ and ‘NAME’ is written as ‘# 6 % 5’, how is ‘MODE’ written in that code ?

(a) % 6 5 3 (b) % @ 3 # (c) 6 % 5 3 (d) % @ 3 5

Ans: D

85. Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the availability of evidence today. Which of the following can be logically inferred from the above sentences?

(A) Emperors who do not leave significant sculpted evidence are completely forgotten.

(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.

(C) Statues of kings are a reminder of their greatness.

(D) A king’s greatness, as we know him today, is interpreted by historians.

Ans: D

86. Fact 1: Humans are mammals.

Fact 2: Some humans are engineers.

Fact 3: Engineers build houses.

If the above statements are facts, which of the following can be logically inferred?

I. All mammals build houses.

II. Engineers are mammals.

III. Some humans are not engineers.

(A) II only. (B) III only.

(C) I, II and III. (D) I only.

Ans: B

87. Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.

(A) 1 (B) 2 (C) 3 (D) 4

Ans: C

(A) Emperors who do not leave significant sculpted evidence are completely forgotten.

(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.

(C) Statues of kings are a reminder of their greatness.

(D) A king’s greatness, as we know him today, is interpreted by historians.

Ans: D

86. Fact 1: Humans are mammals.

Fact 2: Some humans are engineers.

Fact 3: Engineers build houses.

If the above statements are facts, which of the following can be logically inferred?

I. All mammals build houses.

II. Engineers are mammals.

III. Some humans are not engineers.

(A) II only. (B) III only.

(C) I, II and III. (D) I only.

Ans: B

87. Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.

(A) 1 (B) 2 (C) 3 (D) 4

Ans: C

88. In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pile contains a total of 5692000 fruits, how many of them are apples?

(A) 2029198 (B) 2467482 (C) 2789080 (D) 3577422

Ans: A

89. Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place?

(A) 3.00 (B) 4.99 (C) 6.02 (D) 7.01

Ans: C

(A) 2029198 (B) 2467482 (C) 2789080 (D) 3577422

Ans: A

89. Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place?

(A) 3.00 (B) 4.99 (C) 6.02 (D) 7.01

Ans: C

90. A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?

(A) 15 (B) 33 (C) 35 (D) 37

Ans: C

91. In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong. Which of the following inference(s) is/are logically valid and can be inferred from the above passage?

(i) His friends were always asking him to help them.

(ii) He felt that when in need of help, his friends would let him down.

(iii)He was sure that his friends would help him when in need.

(iv) His friends did not help him last week.

(A) (i) and (ii) (B) (iii) and (iv) (C) (iii) only (D) (iv) only

Ans: B

92. Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements must be TRUE based on the above?

(A) When Shiva plays chess with Leela and Pavithra, he often loses.

(B) Leela is the oldest of the three.

(C) Shiva is a better chess player than Pavithra.

(D) Pavithra is the youngest of the three.

Ans: D

93. P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?

(A) 10:11 (B) 11:10 (C) 20:21 (D) 21:20

Ans: C

94. S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?

(A) 1:1 (B) 1:2 (C) 1:4 (D) 2:1

Ans: B

95. A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1:2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?

(A) 30 (B) 40 (C) 120 (D) 180

Ans: B

(A) 15 (B) 33 (C) 35 (D) 37

Ans: C

91. In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong. Which of the following inference(s) is/are logically valid and can be inferred from the above passage?

(i) His friends were always asking him to help them.

(ii) He felt that when in need of help, his friends would let him down.

(iii)He was sure that his friends would help him when in need.

(iv) His friends did not help him last week.

(A) (i) and (ii) (B) (iii) and (iv) (C) (iii) only (D) (iv) only

Ans: B

92. Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements must be TRUE based on the above?

(A) When Shiva plays chess with Leela and Pavithra, he often loses.

(B) Leela is the oldest of the three.

(C) Shiva is a better chess player than Pavithra.

(D) Pavithra is the youngest of the three.

Ans: D

93. P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?

(A) 10:11 (B) 11:10 (C) 20:21 (D) 21:20

Ans: C

94. S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?

(A) 1:1 (B) 1:2 (C) 1:4 (D) 2:1

Ans: B

95. A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1:2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?

(A) 30 (B) 40 (C) 120 (D) 180

Ans: B

96. Pick the odd one out in the following:

13, 23, 33, 43, 53

(A) 23 (B) 33 (C) 43 (D) 53

Ans: B

97. R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.

Which of the following can be logically inferred from the above statements?

(A) R2D2 is a robot which can only repair aeroplanes.

(B) R2D2 is the only robot which can repair aeroplanes.

(C) R2D2 is a robot which can repair only aeroplanes.

(D) Only R2D2 is a robot.

Ans: B

98. A poll of students appearing for masters in engineering indicated that 60 % of the students believed that mechanical engineering is a profession unsuitable for women. A research study on women with masters or higher degrees in mechanical engineering found that 99 % of such women were successful in their professions. Which of the following can be logically inferred from the above paragraph?

(A) Many students have misconceptions regarding various engineering disciplines.

(B) Men with advanced degrees in mechanical engineering believe women are well suited to be mechanical engineers.

(C) Mechanical engineering is a profession well suited for women with masters or higher degrees in mechanical engineering.

(D) The number of women pursuing higher degrees in mechanical engineering is small.

Ans: C

99. Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country. Which of the following can be logically inferred from the above sentence?

Based on the proposal,

(i) In the initial years, SIT students will get degrees from IIT.

(ii) SITs will have a distinct national objective.

(iii) SIT like institutions can only be established in consultation with IIT.

(iv) SITs will serve technological needs of a developing country.

(A) (iii) and (iv) only. (B) (i) and (iv) only.

(C) (ii) and (iv) only. (D) (ii) and (iii) only.

Ans: C

100. Determine the relationship between the pair of words NUMERATOR : DENOMINATOR and then select the pair of words from the following which have a similar relationship :

(A) fraction : decimal

(B) divisor : quotient

(C) top : bottom

(D) dividend : divisor

Ans: D

13, 23, 33, 43, 53

(A) 23 (B) 33 (C) 43 (D) 53

Ans: B

97. R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.

Which of the following can be logically inferred from the above statements?

(A) R2D2 is a robot which can only repair aeroplanes.

(B) R2D2 is the only robot which can repair aeroplanes.

(C) R2D2 is a robot which can repair only aeroplanes.

(D) Only R2D2 is a robot.

Ans: B

98. A poll of students appearing for masters in engineering indicated that 60 % of the students believed that mechanical engineering is a profession unsuitable for women. A research study on women with masters or higher degrees in mechanical engineering found that 99 % of such women were successful in their professions. Which of the following can be logically inferred from the above paragraph?

(A) Many students have misconceptions regarding various engineering disciplines.

(B) Men with advanced degrees in mechanical engineering believe women are well suited to be mechanical engineers.

(C) Mechanical engineering is a profession well suited for women with masters or higher degrees in mechanical engineering.

(D) The number of women pursuing higher degrees in mechanical engineering is small.

Ans: C

99. Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country. Which of the following can be logically inferred from the above sentence?

Based on the proposal,

(i) In the initial years, SIT students will get degrees from IIT.

(ii) SITs will have a distinct national objective.

(iii) SIT like institutions can only be established in consultation with IIT.

(iv) SITs will serve technological needs of a developing country.

(A) (iii) and (iv) only. (B) (i) and (iv) only.

(C) (ii) and (iv) only. (D) (ii) and (iii) only.

Ans: C

100. Determine the relationship between the pair of words NUMERATOR : DENOMINATOR and then select the pair of words from the following which have a similar relationship :

(A) fraction : decimal

(B) divisor : quotient

(C) top : bottom

(D) dividend : divisor

Ans: D