## ARITHMETIC AND MENTAL ABILITY- PAGE 5

1. In a class boys and girls are in the ratio 5 : 3. If the number of boys is 16 more than the number of girls, then the total strength of the class is : (A) 48 (B) 64 (C) 56 (D) 24

Ans: B

2. A father is 5 times as old as his son. If their total age is 48, the age of the son is : (A) 7 (B) 6 (C) 8 (D) 40

Ans: C

3. In how many years Rs. 5,000 will get a compound interest of Rs. 1,050 at 10% per annum? (A) 3 (B) 5 (C) 4 (D) 2

Ans: D

4. LCM and HCF of two numbers are 160 and 8 respectively. One of the number is 32, then the other number is : (A) 40 (B) 30 (C) 20 (D) 16

Ans: A

5. A number is divided by 35 gives 23 as remainder. If the same number is divided by 7 remainder is : (A) 4 (B) 3 (C) 5 (D) 2

Ans: D

6. The area of a square plot is 6050 sq.mts. The length of its diagonal in meters is : (A) 100 (B) 120 (C) 130 (D) 110

Ans: D

7. The mean proportional between 25, 81 is : (A) 40 (B) 50 (C) 45 (D) None of these

Ans: C

8. How many times in a day the hands of the clock at right angles? (A) 22 (B) 40 (C) 44 (D) 46

Ans: C

9. 5 men can do a job in 16 days. If 3 more men join them then the number of days required to complete the work : (A) 6 (B) 10 (C) 5 (D) 13

Ans: B

10. A train crosses a signal post in 12 seconds, when the speed of the train was 60 km/hr. Then the length of the train in meters : (A) 200 (B) 150 (C) 250 (D) 300

Ans: A

11. Find the odd one out : (A) Rambutan (B) Pistachio (C) Longan (D) Lychee

Ans: B

12. If ‘INDIA’ is coded as ‘IOFLE’, then how is ‘CHINA’ coded : (A) CIKQE (B) CIKPD (C) CIKRE (D) CJKQE

Ans: A

13. Find the missing number : 6, 14, 45, 184, ––––––––––. (A) 552 (B) 229 (C) 139 (D) 925

Ans: D

14. What will come in the place of ‘?’ in the following letter series? ACZ, CDW, EET, GFQ, ? (A) IFO (B) IGP (C) IGN (D) JFN

Ans: C

15. If ‘?’ is to Bile as Gland is to ‘?’ : (A) Kidney, Blood (B) Spleen, Phlegm (C) Liver, Urine (D) Liver, Hormone

Ans: D

16. If 4th of the month falls on Sunday, what day of the week will be the seventh day after 23rd of the month? (A) Friday (B) Sunday (C) Thursday (D) Tuesday

Ans: A

17. A man walked 500 meter west of his house and then turned South and walked 700 meter. Then he turned east and walked 600 meter and finally 100 meter to the west. How far is he from his initial position? (A) 600 meter (B) 1200 meter (C) 700 meter (D) 100 meter

Ans: C

18. ‘S’ and ‘T’ are brothers. ‘U’ and ‘V’ are sisters. The son of ‘S’ is brother of ‘V’. T is related to ‘U’ as : (A) Brother (B) Uncle (C) Son (D) Father

Ans: B

19. Exercise : Movement : : Lethargic : ? (A) Energetic (B) Assertive (C) Bold (D) Apathetic

Ans: D

20. Fabulous : Boring : : Imaginary : ? (A) Real (B) Fictious (C) Made up (D) Mythical

Ans: A

21. If a man runs at 37 metres per second. how many kilometres, does he run in 1 hour 30 minutes ?

A) 18.98 kms

B) 19.18 kms

C) 19.88 kms

D) 19.98 kms

Ans: D

22. The sum of the ages of a father and a son is 50 years. Six years ago, the product of their ages was twice the father's age at that time. The present age of father and son respectively are

A} 40 years, 10 years

B) 41 years, 9 years

C) 38 years, 12 years

D) 42 years, 8 years

Ans: D

22:-Which of the following is not a prime number?

A:-71 B:-61 C:-3l D:-91

Ans: D

23:-|f 18 members can complete a work in 12 days. How may more members are needed to complete this work in 9 days?

A:-24 B:-20 C:-6 D:-15

Ans: C

24:-Raju started from a point and went 5m north, turned right and moved 12m. How far is he away from his starting point?

A:-13m B:-10m C:-17m D:-14m

Ans: A

25:-What is the angle between the two hands of a clock at 7.20 AM?

A:-97.5° B:-100° C:-90° D:-102.5°

Ans: B

26:-|f 70% of the students in a school are girls and the number of boys is 453. Find the number of girls?

A:-1150 B:-1057 C:-1075 D:-1510

Ans: B

27:-3+5+7+9+ ......... +101=----------?

A:-2500 B:-5050

C:-2600 D:-2601

Ans: C

28:-A and B together can finish a work in 20 days. If A alone can complete the same work in 12 days, in how may days can B alone complete that work?

A:-30 B:-25 C:-24 D:-28

Ans: A

29:-A person deposited Rs.5500 in simple interest rate for 3 years. if he gets Rs.1320 as interest, what is the rate of interest?

A:-7% B:-8% C:-9% D:-10%

Ans: B

30. In the ﬁrst 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

(A) 6.25 (B) 6.5

(C) 6.75 (D) 7

Ans: A

31. The average of ﬁrst 100 natural numbers is

(A) 55 (B) 50.5

(C) 51.5 (D) 50

Ans: B

32. A man can plough a field alone in 20 days. His wife can plough it in 25 days. When they plough the field with their son they can plough it in 5 days. How many days would the son take if he were to plough the field alone?

(A) 8 1 11 (B) 9 1 11 (C) 10 1 11 (D) 11 1 11

Ans: B

33. Which of the following will be a point on a line that contains (–1, –1) and (2, 5)?

(A) (30, 41) (B) (80, 91) (C) (100, 201) (D) (110, 121)

Ans: C

34. Radhika sold her treadmill on OLX to a customer at a loss of 6% to the original cost. If she had sold it for Rs. 1250/- more, she would have gained 4%. What is the original cost of the treadmill? (A) 12500 (B) 11750 (C) 13000 (D) 10000

Ans: A

35. In a college 200 students took admission in different subjects. 56 students took Biology, 62 took Maths, 84 took Psychology. 18 students took Biology and Maths, 20 took Biology and Psychology and 12 took Maths and Psychology. If 8 students took all three subjects how many students took none of these subjects? (A) 10 (B) 20 (C) 30 (D) 40

Ans: D

36. Six persons are seated on a round dining table in such a way that Atul sits in front of Binoy, Elias sits between Atul and David, Firoz sits to the left of Binoy and Chaaya sits between Atul and Firoz. Who sits between Binoy and Elias? (A) David (B) Firoz (C) Chaaya (D) Binoy

Ans: A

37. Find the next number to the following .... 1, 1, 2, 4, 8, 12, 144, 1728, ...... (A) 4625 (B) 1872 (C) 1525 (D) 4681

Ans: B

38. In a certain code the numbers are coded as follows: '325' is coded as '105' '436' is coded as '137' and '547' is coded as '169'. What will be the code for 258? (A) 305 (B) 157 (C) 102 (D) 111

Ans: B

39. A person buys a house for 15 lacs and sells it for 20 lacs. After five years he buys the same house at 30 lacs and sells it for 40 lacs. What is the overall profit percent for that person over both the transactions?

(A) 30.33% (B) 33.33% (C) 35.33% (D) 40.33%

Ans: B

40. Sudha secured 48% of Radha's marks, and Sunil secured 60% of Radha's marks. What is 'p' if Sudha secured 'p' percent of Sunil's marks? (A) 50 (B) 60 (C) 70 (D) 80

Ans: D

41. If PXQ means P is daughter of Q, P+Q means P is father of Q, P*Q means P is mother of Q, P–Q means P is brother of Q, then in the expression AXB*C-D X F, how are B and F related?

(A) Wife and husband (B) Brother and sister

(C) Mother and son (D) Father and daughter

Ans: A

42. Atul and his father were born in the months of December and September respectively. In 2017 both their birthdays fell on Sundays. If in 2020 Atul's birthday falls on a Thursday, his father's birthday will fall on

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

Ans: C

43. The ratio of Mother's age to the Son's age is 11:6. Five years ago the Mother's age was double the age of the Son. How many times the Son's age will the Mother's age be twenty years from now?

(A) 2.25 times (B) 2 times (C) 1.75 times (D) 1.5 times

Ans: D

44. A group of men can row a canoe at 40 kilometers per hour in still water. After rowing for 2 hours the stream flows downhill and they take two more hours to reach a point. On the way back by the same route the time taken is two times the time taken for onward journey. What is the speed of the stream?

(A) 10 km/hour (B) 20 km/hour (C) 30 km/hour (D) 40 km/hour

Ans: B

45. Give the next in the series. A9B, C49D, E121F,....

(A) G199H (B) G221H (C) G281H (D) G225H

Ans: D

Ans: B

2. A father is 5 times as old as his son. If their total age is 48, the age of the son is : (A) 7 (B) 6 (C) 8 (D) 40

Ans: C

3. In how many years Rs. 5,000 will get a compound interest of Rs. 1,050 at 10% per annum? (A) 3 (B) 5 (C) 4 (D) 2

Ans: D

4. LCM and HCF of two numbers are 160 and 8 respectively. One of the number is 32, then the other number is : (A) 40 (B) 30 (C) 20 (D) 16

Ans: A

5. A number is divided by 35 gives 23 as remainder. If the same number is divided by 7 remainder is : (A) 4 (B) 3 (C) 5 (D) 2

Ans: D

6. The area of a square plot is 6050 sq.mts. The length of its diagonal in meters is : (A) 100 (B) 120 (C) 130 (D) 110

Ans: D

7. The mean proportional between 25, 81 is : (A) 40 (B) 50 (C) 45 (D) None of these

Ans: C

8. How many times in a day the hands of the clock at right angles? (A) 22 (B) 40 (C) 44 (D) 46

Ans: C

9. 5 men can do a job in 16 days. If 3 more men join them then the number of days required to complete the work : (A) 6 (B) 10 (C) 5 (D) 13

Ans: B

10. A train crosses a signal post in 12 seconds, when the speed of the train was 60 km/hr. Then the length of the train in meters : (A) 200 (B) 150 (C) 250 (D) 300

Ans: A

11. Find the odd one out : (A) Rambutan (B) Pistachio (C) Longan (D) Lychee

Ans: B

12. If ‘INDIA’ is coded as ‘IOFLE’, then how is ‘CHINA’ coded : (A) CIKQE (B) CIKPD (C) CIKRE (D) CJKQE

Ans: A

13. Find the missing number : 6, 14, 45, 184, ––––––––––. (A) 552 (B) 229 (C) 139 (D) 925

Ans: D

14. What will come in the place of ‘?’ in the following letter series? ACZ, CDW, EET, GFQ, ? (A) IFO (B) IGP (C) IGN (D) JFN

Ans: C

15. If ‘?’ is to Bile as Gland is to ‘?’ : (A) Kidney, Blood (B) Spleen, Phlegm (C) Liver, Urine (D) Liver, Hormone

Ans: D

16. If 4th of the month falls on Sunday, what day of the week will be the seventh day after 23rd of the month? (A) Friday (B) Sunday (C) Thursday (D) Tuesday

Ans: A

17. A man walked 500 meter west of his house and then turned South and walked 700 meter. Then he turned east and walked 600 meter and finally 100 meter to the west. How far is he from his initial position? (A) 600 meter (B) 1200 meter (C) 700 meter (D) 100 meter

Ans: C

18. ‘S’ and ‘T’ are brothers. ‘U’ and ‘V’ are sisters. The son of ‘S’ is brother of ‘V’. T is related to ‘U’ as : (A) Brother (B) Uncle (C) Son (D) Father

Ans: B

19. Exercise : Movement : : Lethargic : ? (A) Energetic (B) Assertive (C) Bold (D) Apathetic

Ans: D

20. Fabulous : Boring : : Imaginary : ? (A) Real (B) Fictious (C) Made up (D) Mythical

Ans: A

21. If a man runs at 37 metres per second. how many kilometres, does he run in 1 hour 30 minutes ?

A) 18.98 kms

B) 19.18 kms

C) 19.88 kms

D) 19.98 kms

Ans: D

22. The sum of the ages of a father and a son is 50 years. Six years ago, the product of their ages was twice the father's age at that time. The present age of father and son respectively are

A} 40 years, 10 years

B) 41 years, 9 years

C) 38 years, 12 years

D) 42 years, 8 years

Ans: D

22:-Which of the following is not a prime number?

A:-71 B:-61 C:-3l D:-91

Ans: D

23:-|f 18 members can complete a work in 12 days. How may more members are needed to complete this work in 9 days?

A:-24 B:-20 C:-6 D:-15

Ans: C

24:-Raju started from a point and went 5m north, turned right and moved 12m. How far is he away from his starting point?

A:-13m B:-10m C:-17m D:-14m

Ans: A

25:-What is the angle between the two hands of a clock at 7.20 AM?

A:-97.5° B:-100° C:-90° D:-102.5°

Ans: B

26:-|f 70% of the students in a school are girls and the number of boys is 453. Find the number of girls?

A:-1150 B:-1057 C:-1075 D:-1510

Ans: B

27:-3+5+7+9+ ......... +101=----------?

A:-2500 B:-5050

C:-2600 D:-2601

Ans: C

28:-A and B together can finish a work in 20 days. If A alone can complete the same work in 12 days, in how may days can B alone complete that work?

A:-30 B:-25 C:-24 D:-28

Ans: A

29:-A person deposited Rs.5500 in simple interest rate for 3 years. if he gets Rs.1320 as interest, what is the rate of interest?

A:-7% B:-8% C:-9% D:-10%

Ans: B

30. In the ﬁrst 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

(A) 6.25 (B) 6.5

(C) 6.75 (D) 7

Ans: A

31. The average of ﬁrst 100 natural numbers is

(A) 55 (B) 50.5

(C) 51.5 (D) 50

Ans: B

32. A man can plough a field alone in 20 days. His wife can plough it in 25 days. When they plough the field with their son they can plough it in 5 days. How many days would the son take if he were to plough the field alone?

(A) 8 1 11 (B) 9 1 11 (C) 10 1 11 (D) 11 1 11

Ans: B

33. Which of the following will be a point on a line that contains (–1, –1) and (2, 5)?

(A) (30, 41) (B) (80, 91) (C) (100, 201) (D) (110, 121)

Ans: C

34. Radhika sold her treadmill on OLX to a customer at a loss of 6% to the original cost. If she had sold it for Rs. 1250/- more, she would have gained 4%. What is the original cost of the treadmill? (A) 12500 (B) 11750 (C) 13000 (D) 10000

Ans: A

35. In a college 200 students took admission in different subjects. 56 students took Biology, 62 took Maths, 84 took Psychology. 18 students took Biology and Maths, 20 took Biology and Psychology and 12 took Maths and Psychology. If 8 students took all three subjects how many students took none of these subjects? (A) 10 (B) 20 (C) 30 (D) 40

Ans: D

36. Six persons are seated on a round dining table in such a way that Atul sits in front of Binoy, Elias sits between Atul and David, Firoz sits to the left of Binoy and Chaaya sits between Atul and Firoz. Who sits between Binoy and Elias? (A) David (B) Firoz (C) Chaaya (D) Binoy

Ans: A

37. Find the next number to the following .... 1, 1, 2, 4, 8, 12, 144, 1728, ...... (A) 4625 (B) 1872 (C) 1525 (D) 4681

Ans: B

38. In a certain code the numbers are coded as follows: '325' is coded as '105' '436' is coded as '137' and '547' is coded as '169'. What will be the code for 258? (A) 305 (B) 157 (C) 102 (D) 111

Ans: B

39. A person buys a house for 15 lacs and sells it for 20 lacs. After five years he buys the same house at 30 lacs and sells it for 40 lacs. What is the overall profit percent for that person over both the transactions?

(A) 30.33% (B) 33.33% (C) 35.33% (D) 40.33%

Ans: B

40. Sudha secured 48% of Radha's marks, and Sunil secured 60% of Radha's marks. What is 'p' if Sudha secured 'p' percent of Sunil's marks? (A) 50 (B) 60 (C) 70 (D) 80

Ans: D

41. If PXQ means P is daughter of Q, P+Q means P is father of Q, P*Q means P is mother of Q, P–Q means P is brother of Q, then in the expression AXB*C-D X F, how are B and F related?

(A) Wife and husband (B) Brother and sister

(C) Mother and son (D) Father and daughter

Ans: A

42. Atul and his father were born in the months of December and September respectively. In 2017 both their birthdays fell on Sundays. If in 2020 Atul's birthday falls on a Thursday, his father's birthday will fall on

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

Ans: C

43. The ratio of Mother's age to the Son's age is 11:6. Five years ago the Mother's age was double the age of the Son. How many times the Son's age will the Mother's age be twenty years from now?

(A) 2.25 times (B) 2 times (C) 1.75 times (D) 1.5 times

Ans: D

44. A group of men can row a canoe at 40 kilometers per hour in still water. After rowing for 2 hours the stream flows downhill and they take two more hours to reach a point. On the way back by the same route the time taken is two times the time taken for onward journey. What is the speed of the stream?

(A) 10 km/hour (B) 20 km/hour (C) 30 km/hour (D) 40 km/hour

Ans: B

45. Give the next in the series. A9B, C49D, E121F,....

(A) G199H (B) G221H (C) G281H (D) G225H

Ans: D