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SSC > Arithmetical Problems

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

Q 1.

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Incorrect-0.5

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 is the average marks of these 9 students of this row?

A

56.4

46.4

C

47.6

D

45.6

Explanation

Q 2.

Correct2

Incorrect-0.5

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

Q 3.

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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

Q 4.

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The age of Shyam is 1/3rd that of his mother. He is 2 years older than his sister. The age of his sister be 8 years, what is the age of his mother?

A

25 years

B

60 years

C

48 years

30 years

Explanation

Q 5.

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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. 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

Q 6.

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Incorrect-0.5

A, B, C, D, are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. 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

Q 7.

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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

Q 8.

Correct2

Incorrect-0.5

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

Q 9.

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Incorrect-0.5

The difference between a mother's age and the sum of her two daughters' age is 6. The average age of two daughters is 22. What is the age of mother?

A

40

B

44

C

46

50

Explanation

Q 10.

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Incorrect-0.5

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

Q 11.

Correct2

Incorrect-0.5

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

Q 12.

Correct2

Incorrect-0.5

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

Q 13.

Correct2

Incorrect-0.5

Ashok's mother was 3 times as old as Ashok 5 years ago. After 5 years she will be twice as old as Ashok. How old is Ashok today ?

A

10 years

15 years

C

20 years

D

25 years

Explanation

Q 14.

Correct2

Incorrect-0.5

A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, what is the present age of the wife ?

A

60 years

B

51 years

C

48 years

45 years

Explanation

Q 15.

Correct2

Incorrect-0.5

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

Q 16.

Correct2

Incorrect-0.5

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

Q 17.

Correct2

Incorrect-0.5

A father's age is one more than 5 times of 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

Q 18.

Correct2

Incorrect-0.5

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

Q 19.

Correct2

Incorrect-0.5

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


Q 20.

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Incorrect-0.5

There are three baskets of fruits. First basket has twice the number of fruits in the 2nd basket. Third basket has 3/4 th of the fruits in the first. The average of the fruits in all the baskets is 30. What is the number of fruits in the first basket?

A

20

B

30

C

35

40

Explanation


Q 21.

Correct2

Incorrect-0.5

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

Q 22.

Correct2

Incorrect-0.5

Ashu's mother was three times as old as Ashu 5 years ago. After 5 years she will be twice as old as Ashu. How old is Ashu today?

A

35 years

B

10 years

C

20 years

15 years

Explanation


Q 23.

Correct2

Incorrect-0.5

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

Q 24.

Correct2

Incorrect-0.5

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


Q 25.

Correct2

Incorrect-0.5

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