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SSC

Explore popular questions from Arithmetic Problems for SSC. This collection covers Arithmetic Problems previous year SSC questions hand picked by experienced teachers.

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Arithmetic Problems

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Q 1. Average marks obtained by 9 students in one row of a class is 45. One student with 35 marks exchanges his seat with a student securing 48 marks. What are the average marks of these 9 students of this row?

A

56.4

46.4

C

47.6

D

45.6

Explanation

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Q 2. The average age of a cricket team is 27 years. Two players with 24 and 27 years of age are replaced by new players of 23 and 28 years of age. What is the average age of the team now?

27 years

B

26 years

C

24 years

D

28 years

Explanation

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Q 3. The age of X is 2/3rd that of Y. After 6 years X will be 46 years old. The present age of Y is

A

40 years

B

56 years

60 years

D

100 years

Explanation

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Q 4. Ramu is 48 years old. Robin is 6 years junior to Ramu and 14 years senior to Rohit. Ramu has two children - Neethu and Vinu. The youngest sister of Rohit is Krishna and she is 15 years junior to him. So what is the age of Krishna?

13

B

15

C

14

D

12

Explanation

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Q 5. The average age of 30 students is 15 years. If the teacher's age is also included then the average age increases by 1 year. The age of the teacher is

A

56 years

46 years

C

35 years

D

45 years

Explanation

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Q 6. Kamal is 5 times older than her sister Geeta, who is 2 years less than her brother Ram. If Ram is 8 years old, then what will be the age of Kamal?

30 years

B

24 years

C

40 years

D

28 years

Explanation

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Q 7. A was born 5 years before B, B is 4 years older than C and 3 years younger to D. If A is now 17 years old, how old is D?

A

19 years

15 years

C

12 years

D

8 years

Explanation

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Q 8. Your age is 10 years less than half your mother's age who is 5 years younger than your father. If your father is 45 years old, what is your age ?

A

20 years

B

15 years

10 years

D

5 years

Explanation

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Q 9. A man was 32 years of age when he had his first son. His wife was 35 years of age when his son attained the age of 7 years. The difference in age between the man and his wife is

A

7 years

B

3 years

C

5 years

4 years

Explanation

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Q 10. Hema was twice as old as Geetha 10 years ago. How old is Geetha today if Hema will be 40 years old 10 years hence?

A

25 years

20 years

C

15 years

D

35 years

Explanation

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Q 11. Hari is twice as old as Johnny, who is three years older than Rahul. If Hari's age is five times Rahul's age, how old is Johnny?

A

2 years

B

4 years

5 years

D

8 years

Explanation

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Q 12. A father's age is one more than 5 times his son's age. After 3 years, the father's age would be 2 less than four times the son's age. Find the present age of the father.

A

30 years

B

40 years

31 years

D

29 years

Explanation

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Q 13. Naresh's age is 4 years less than twice the age of his brother. Which of the following represents the equation to find his age?

A

2x + 4

B

4x + 2

C

x - 4

2x - 4

Explanation

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Q 14. In a family, mother's age is twice that of daughter's age. Father is 10 years older than mother. Brother is 20 years younger than his mother and 5 years older than his sister. What is the age of the father?

A

62 years

60 years

C

58 years

D

55 years

Explanation


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Q 15. The average age of 19 boys in a class is 21 years. If the teacher's age is included, the average increases to 22 years. What is the teacher's age?

A

39 years

41 years

C

40 years

D

44 years

Explanation

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Q 16. Father is 5 years older than mother and mother's age now is thrice the age of the daughter. The daughter is now 10 years old. What was the father's age when the daughter was born ?

A

20 years

B

15 years

25 years

D

30 years

Explanation

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Q 17. Ten years ago, average age of A and B was 20 years. Average age of A, B and C is 30 years today. How old C will be after 5 years?

A

20 years

B

30 years

35 years

D

55 years

Explanation


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Q 18. My father is 21 years older than me. In 12 years time, his age will be twice mine. How old am I now ?

9 years

B

8 years

C

10 years

D

11 years

Explanation

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Q 19. A, B, C, D, are four friends. The average age of A and C is 35 years and that of B, and D is 40 years. The average age of B, C, and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C, and D.

A

20, 30, 40, 50

B

20, 25, 30, 35

30, 35, 40, 45

D

30, 40, 50, 60

Explanation

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Q 20. Certain equations are based on a certain system. Find out the correct answer for unsolved equation on that basis : If 14 x 13 = 128 and 16 x 13 = 280 then 15 x 11 = ?

A

516

156

C

165

D

615

E

None of these

Explanation

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Q 21. Some equations are solved on the basis of certain system. On the same basis find the correct answer for the unsolved equation. If 13 x 12 = 651 and 41 x 23 = 448, then 24 x 22 = ?

A

504

B

46

C

528

924

E

None of these

Explanation

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Q 22. A bus leaves Delhi with half the number of women as men. At Meerut, ten men get down and five women get in. Now there are equal number of men and women. How many passengers boarded the bus initially at Delhi ?

A

36

45

C

15

D

30

E

None of these

Explanation



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Q 23. Which one of the following equations is correct?

6 x 5 - 24 * 3 + 1 = 23

B

6 x 5 - 24 * 3 + 1 = 3

C

6 * 3 - 1 + 24 x 5 = 135

D

6 * 3 - 1 + 24 x 5 = 117

E

None of these

Explanation

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Q 24. How many combinations of twodigit number having 8 can be made from the following numbers? 8, 5, 2, 1, 7, 6

A

9

11

C

10

D

12

E

None of these

Explanation

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Q 25. Which one of the following is wrong ? 9

A

4 + 1.75 = 4 9

B

5 + 2.2 = 4 6

C

5 + 2.8 = 4 3

7 + 1.5 = 4

E

None of these

Explanation