Mathematics
Age Problems
The present ages of A and B add up to 44 years, and A is 16 years older than B. What is B's present age?
A. 14
B. 12
C. 16
D. 30
Correct Answer: A
If B=x, then A=x+16. Thus 2x+16=44, so x=14.
Mathematics
Age Problems
A person is 50 years old now. What was the age 11 years earlier?
A. 40
B. 39
C. 61
D. 37
Correct Answer: B
Past age = 50 − 11 = 39 years.
Mathematics
Age Problems
A person is 35 years old at present. What will the age be after 6 years?
A. 42
B. 40
C. 41
D. 29
Correct Answer: C
Future age = 35 + 6 = 41 years.
Mathematics
Age Problems
A father is 54 years old and his son is 23. What will be the difference between their ages after 8 years?
A. 39
B. 23
C. 77
D. 31
Correct Answer: D
Age difference remains constant: 54 − 23 = 31 years.
Mathematics
Age Problems
The present ages of two persons are in the ratio 3:2. Their total age is 20 years. What is the age of the older person?
A. 8
B. 16
C. 4
D. 12
Correct Answer: D
One ratio part = 20 ÷ 5 = 4; older age = 3 × 4 = 12.
Mathematics
Age Problems
The present ages of A and B add up to 76 years, and A is 16 years older than B. What is B's present age?
A. 46
B. 32
C. 28
D. 30
Correct Answer: D
If B=x, then A=x+16. Thus 2x+16=76, so x=30.
Mathematics
Age Problems
A person is 26 years old now. What was the age 7 years earlier?
A. 17
B. 19
C. 20
D. 33
Correct Answer: B
Past age = 26 − 7 = 19 years.
Mathematics
Age Problems
A person is 29 years old at present. What will the age be after 4 years?
A. 33
B. 34
C. 32
D. 25
Correct Answer: A
Future age = 29 + 4 = 33 years.
Mathematics
Age Problems
A father is 39 years old and his son is 10. What will be the difference between their ages after 3 years?
A. 32
B. 29
C. 26
D. 49
Correct Answer: B
Age difference remains constant: 39 − 10 = 29 years.
Mathematics
Age Problems
The present ages of two persons are in the ratio 2:1. Their total age is 18 years. What is the age of the older person?
A. 6
B. 12
C. 18
D. 13
Correct Answer: B
One ratio part = 18 ÷ 3 = 6; older age = 2 × 6 = 12.
Mathematics
Age Problems
The present ages of A and B add up to 78 years, and A is 22 years older than B. What is B's present age?
A. 28
B. 26
C. 50
D. 30
Correct Answer: A
If B=x, then A=x+22. Thus 2x+22=78, so x=28.
Mathematics
Age Problems
A person is 24 years old now. What was the age 2 years earlier?
A. 20
B. 26
C. 22
D. 23
Correct Answer: C
Past age = 24 − 2 = 22 years.
Mathematics
Age Problems
A person is 24 years old at present. What will the age be after 5 years?
A. 28
B. 29
C. 19
D. 30
Correct Answer: B
Future age = 24 + 5 = 29 years.
Mathematics
Age Problems
A father is 49 years old and his son is 23. What will be the difference between their ages after 6 years?
A. 32
B. 72
C. 20
D. 26
Correct Answer: D
Age difference remains constant: 49 − 23 = 26 years.
Mathematics
Age Problems
The present ages of two persons are in the ratio 5:2. Their total age is 70 years. What is the age of the older person?
A. 20
B. 10
C. 50
D. 60
Correct Answer: C
One ratio part = 70 ÷ 7 = 10; older age = 5 × 10 = 50.
Mathematics
Age Problems
The present ages of A and B add up to 58 years, and A is 14 years older than B. What is B's present age?
A. 22
B. 24
C. 20
D. 36
Correct Answer: A
If B=x, then A=x+14. Thus 2x+14=58, so x=22.
Mathematics
Age Problems
A person is 28 years old now. What was the age 8 years earlier?
A. 18
B. 36
C. 20
D. 21
Correct Answer: C
Past age = 28 − 8 = 20 years.
Mathematics
Age Problems
A person is 59 years old at present. What will the age be after 7 years?
A. 66
B. 65
C. 67
D. 52
Correct Answer: A
Future age = 59 + 7 = 66 years.
Mathematics
Number Series
Find the next number: 2, 17, 6, 21, 10, 25, ?
A. 18
B. 14
C. 13
D. 29
Correct Answer: B
Odd-position terms form 2, 6, 10, ... increasing by 4; the next odd term is 14.
Mathematics
Number Series
Find the next number: 1, 16, 4, 19, 7, 22, ?
A. 9
B. 13
C. 25
D. 10
Correct Answer: D
Odd-position terms form 1, 4, 7, ... increasing by 3; the next odd term is 10.