Age Problems MCQs

Solved Age Problems MCQs with answers and explanations. Free practice questions for PPSC, FPSC, CSS and other government job exams on FreeSekho.

1. 1. A person's present age is 35 years. What was his age 10 years ago?

   1. 22 years
   2. 23 years
   3. 27 years
   4. 25 years ✓

2. 2. The average age of 8 people is 30 years. If a new person joins, the average becomes 31 years. Find the new person's age.

   1. 37 years
   2. 39 years ✓
   3. 35 years
   4. 41 years

3. 3. The sum of the ages of A and B is 70 years. A is 30 years older than B. Find A's age.

   1. 50 years ✓
   2. 48 years
   3. 55 years
   4. 45 years

4. 4. A is four times as old as B. In 10 years, A will be twice as old as B. Find B's present age.

   1. 4 years
   2. 3 years
   3. 5 years ✓
   4. 6 years

5. 5. The average age of 6 people increases by 5 years when a person aged 15 is replaced by a new person. Find the new person's age.

   1. 40 years
   2. 48 years
   3. 42 years
   4. 45 years ✓

6. 6. The average age of 40 students in a class is 12 years. When the teacher's age is included, the average becomes 13 years. Find the teacher's age.

   1. 53 years ✓
   2. 50 years
   3. 48 years
   4. 55 years

7. 7. When solving an age problem involving 'N years hence' (in the future), what must be added to the present age of each person to represent their age at that time?

   1. N ✓
   2. N/2
   3. 2N
   4. N squared

8. 8. In age problems, if a person's present age is x, how is their age N years from now generally represented?

   1. x - N
   2. N - x
   3. x + N ✓
   4. x x N

9. 9. The sum of the ages of a father and son is 64 years. The father is 32 years older than the son. Find the father's age.

   1. 52 years
   2. 46 years
   3. 44 years
   4. 48 years ✓

10. 10. The average age of 12 people is 28 years. If a new person joins, the average becomes 29 years. Find the new person's age.

    1. 41 years ✓
    2. 43 years
    3. 37 years
    4. 39 years

11. 11. The sum of the ages of A and B is 30 years. A is 20 years older than B. Find B's age.

    1. 4 years
    2. 5 years ✓
    3. 7 years
    4. 3 years

12. 12. A person's present age is 30 years. What will his age be 15 years from now?

    1. 45 years ✓
    2. 42 years
    3. 47 years
    4. 43 years

13. 13. The ages of A and B are in the ratio 4:3. If the sum of their ages is 35 years, find A's age.

    1. 15 years
    2. 22 years
    3. 18 years
    4. 20 years ✓

14. 14. A's age is 10% more than B's age. If B is 80 years old, find A's age.

    1. 88 years ✓
    2. 85 years
    3. 82 years
    4. 90 years

15. 15. The ages of A and B are in the ratio 5:4. If the sum of their ages is 54 years, find A's age.

    1. 32 years
    2. 24 years
    3. 28 years
    4. 30 years ✓

16. 16. A person's present age is 18 years. What will his age be 7 years from now?

    1. 23 years
    2. 27 years
    3. 25 years ✓
    4. 22 years

17. 17. The sum of the ages of a mother and daughter is 70 years. The mother is 42 years older than the daughter. Find the daughter's age.

    1. 10 years
    2. 12 years
    3. 16 years
    4. 14 years ✓

18. 18. The present ages of A and B are in the ratio 4:5. Two years ago, their ages were in the ratio 3:4. Find A's present age.

    1. 9 years
    2. 8 years ✓
    3. 10 years
    4. 6 years

19. 19. A father is presently 31 years old. 3 years ago, his age was 4 times his son's age then. Find the son's present age.

    1. 9 years
    2. 10 years ✓
    3. 12 years
    4. 8 years

20. 20. The ages of A and B are in the ratio 11:9. If the sum of their ages is 60 years, find A's age.

    1. 30 years
    2. 36 years
    3. 33 years ✓
    4. 27 years

21. 21. If a person's age N years ago was analyzed and their age M years from now is also analyzed, does the DIFFERENCE between these two ages depend on their actual present age?

    1. No, the difference is always N + M, regardless of present age ✓
    2. Yes, it depends entirely on N alone
    3. Yes, it always equals their present age exactly
    4. No, the difference is always zero

22. 22. The average age of 10 people is 25 years. If a new person joins, the average becomes 26 years. Find the new person's age.

    1. 34 years
    2. 32 years
    3. 38 years
    4. 36 years ✓

23. 23. A father is presently 30 years old. In 6 years, his age will be four times his son's age then. Find the son's present age.

    1. 3 years ✓
    2. 5 years
    3. 4 years
    4. 2 years

24. 24. The ages of A and B are in the ratio 9:7. If the sum of their ages is 48 years, find B's age.

    1. 20 years
    2. 21 years ✓
    3. 24 years
    4. 18 years

25. 25. A is 6 years older than B. 5 years ago, A was twice as old as B. Find A's present age.

    1. 15 years
    2. 17 years ✓
    3. 19 years
    4. 16 years

26. 26. A man's age 3 years ago, doubled, equals his age 5 years from now. Find his present age.

    1. 10 years
    2. 13 years
    3. 9 years
    4. 11 years ✓

27. 27. A is 6 years older than B. 4 years ago, A was twice as old as B. Find A's present age.

    1. 16 years ✓
    2. 18 years
    3. 14 years
    4. 15 years

28. 28. In age problems, if a person's present age is x, how is their age N years ago generally represented?

    1. x + N
    2. x - N ✓
    3. N - x
    4. x / N

29. 29. The sum of the ages of A, B, and C is 51 years. A is 2 years older than B, and B is 2 years older than C. Find B's age.

    1. 17 years ✓
    2. 15 years
    3. 19 years
    4. 13 years

30. 30. The present ages of A and B are in the ratio 3:4. Two years ago, their ages were in the ratio 2:3. Find A's present age.

    1. 6 years ✓
    2. 4 years
    3. 8 years
    4. 5 years

31. 31. The sum of the ages of A and B is 60 years. A is 30 years older than B. Find A's age.

    1. 40 years
    2. 50 years
    3. 45 years ✓
    4. 42 years

32. 32. A is three times as old as B. In 9 years, A will be twice as old as B. Find A's present age.

    1. 30 years
    2. 21 years
    3. 24 years
    4. 27 years ✓

33. 33. The sum of the ages of A and B is 48 years. A is 24 years older than B. Find A's age.

    1. 40 years
    2. 32 years
    3. 36 years ✓
    4. 34 years

34. 34. A person's present age is 50 years. What was his age 20 years ago?

    1. 32 years
    2. 30 years ✓
    3. 28 years
    4. 25 years

35. 35. The ages of a mother and daughter are in the ratio 8:5. If the sum of their ages is 52 years, find the daughter's age.

    1. 20 years ✓
    2. 16 years
    3. 18 years
    4. 22 years

36. 36. A man's age 4 years ago, multiplied by 4, equals his age 17 years from now. Find his present age.

    1. 9 years
    2. 13 years
    3. 10 years
    4. 11 years ✓

37. 37. The average age of 30 students in a class is 15 years. When the teacher's age is included, the average becomes 16 years. Find the teacher's age.

    1. 48 years
    2. 46 years ✓
    3. 44 years
    4. 42 years

38. 38. The present ages of A and B are in the ratio 7:9. Two years ago, their ages were in the ratio 3:4. Find B's present age.

    1. 18 years ✓
    2. 16 years
    3. 20 years
    4. 14 years

39. 39. A is three times as old as B. In 6 years, A will be twice as old as B. Find B's present age.

    1. 6 years ✓
    2. 5 years
    3. 7 years
    4. 4 years

40. 40. The sum of the ages of A, B, and C is 55 years. A is 2 years older than B, and B is 4 years older than C. Find B's age.

    1. 21 years
    2. 17 years
    3. 15 years
    4. 19 years ✓

41. 41. If two people's present ages are in the ratio m:n, their ages are conventionally represented using a common multiplier x as which of the following?

    1. mx and n/x
    2. m/x and n/x
    3. m + x and n + x
    4. mx and nx ✓

42. 42. The present ages of A and B are in the ratio 5:7. Two years ago, their ages were in the ratio 2:3. Find B's present age.

    1. 12 years
    2. 10 years
    3. 14 years ✓
    4. 16 years

43. 43. The sum of the ages of A and B is 51 years. A is 25 years older than B. Find B's age.

    1. 10 years
    2. 13 years ✓
    3. 15 years
    4. 11 years

44. 44. The average age of 6 people is 18 years. If a new person joins, the average becomes 20 years. Find the new person's age.

    1. 30 years
    2. 28 years
    3. 34 years
    4. 32 years ✓

45. 45. A person's present age is 25 years. What will his age be 10 years from now?

    1. 32 years
    2. 37 years
    3. 33 years
    4. 35 years ✓

46. 46. The average age of 12 people increases by 2 years when a person aged 30 is replaced by a new person. Find the new person's age.

    1. 48 years
    2. 54 years ✓
    3. 50 years
    4. 58 years

47. 47. A father is presently 36 years old. 3 years ago, his age was 3 times his son's age then. Find the son's present age.

    1. 12 years
    2. 13 years
    3. 14 years ✓
    4. 16 years

48. 48. The ages of a father and son are in the ratio 7:5. If the sum of their ages is 60 years, find the father's age.

    1. 32 years
    2. 30 years
    3. 35 years ✓
    4. 40 years

49. 49. A father is four times as old as his son. After 10 years, the father will be twice as old as his son. Find the father's present age.

    1. 18 years
    2. 20 years ✓
    3. 16 years
    4. 24 years

50. 50. The sum of the ages of A and B is 44 years. A is 22 years older than B. Find A's age.

    1. 33 years ✓
    2. 30 years
    3. 35 years
    4. 31 years

51. 51. The sum of the ages of A and B is 60 years. A is 28 years older than B. Find A's age.

    1. 44 years ✓
    2. 40 years
    3. 42 years
    4. 46 years

52. 52. A person's present age is 28 years. What was his age 8 years ago?

    1. 17 years
    2. 22 years
    3. 20 years ✓
    4. 18 years

53. 53. A is twice as old as B. 10 years ago, A was three times as old as B. Find B's present age.

    1. 16 years
    2. 20 years ✓
    3. 18 years
    4. 22 years

54. 54. The ages of A and B are in the ratio 3:2. If the sum of their ages is 50 years, find B's age.

    1. 25 years
    2. 22 years
    3. 18 years
    4. 20 years ✓

55. 55. The average age of 8 people increases by 2 years when a person aged 20 is replaced by a new person. Find the new person's age.

    1. 34 years
    2. 36 years ✓
    3. 38 years
    4. 32 years

56. 56. The sum of the ages of A and B is 36 years. A is 20 years older than B. Find A's age.

    1. 28 years ✓
    2. 30 years
    3. 24 years
    4. 26 years

57. 57. A is twice as old as B. 12 years ago, A was three times as old as B. Find A's present age.

    1. 50 years
    2. 40 years
    3. 44 years
    4. 48 years ✓

58. 58. A person's present age is 33 years. What was his age 13 years ago?

    1. 20 years ✓
    2. 17 years
    3. 22 years
    4. 18 years

59. 59. A's age is 15% more than B's age. If B is 60 years old, find A's age.

    1. 72 years
    2. 69 years ✓
    3. 65 years
    4. 63 years

60. 60. A father is three times as old as his son. After 15 years, the father will be twice as old as his son. Find the father's present age.

    1. 42 years
    2. 40 years
    3. 45 years ✓
    4. 48 years

61. 61. A is 4 years older than B. 3 years ago, A was twice as old as B. Find A's present age.

    1. 10 years
    2. 9 years
    3. 13 years
    4. 11 years ✓

62. 62. The average age of 25 students in a class is 14 years. When the teacher's age is included, the average becomes 15 years. Find the teacher's age.

    1. 36 years
    2. 38 years
    3. 40 years ✓
    4. 42 years

63. 63. The average age of 5 people is 20 years. If a new person joins, the average becomes 21 years. Find the new person's age.

    1. 28 years
    2. 22 years
    3. 26 years ✓
    4. 24 years

64. 64. A man's age 3 years ago, tripled, equals his age 13 years from now. Find his present age.

    1. 13 years
    2. 11 years ✓
    3. 9 years
    4. 10 years

65. 65. If the present age of a father is F and his son's present age is S, what represents the difference in their ages, which remains constant over time?

    1. F - S ✓
    2. F x S
    3. F + S
    4. F / S

66. 66. A man's age 5 years ago, multiplied by 5, equals his age 19 years from now. Find his present age.

    1. 10 years
    2. 9 years
    3. 11 years ✓
    4. 13 years

67. 67. The present ages of A and B are in the ratio 2:3. Four years ago, their ages were in the ratio 1:2. Find B's present age.

    1. 10 years
    2. 12 years ✓
    3. 8 years
    4. 14 years

68. 68. A father is presently 30 years old. In 3 years, his age will be three times his son's age then. Find the son's present age.

    1. 10 years
    2. 8 years ✓
    3. 7 years
    4. 6 years

69. 69. The sum of the ages of A, B, and C is 50 years. A is 2 years older than B, and B is 3 years older than C. Find A's age.

    1. 21 years
    2. 17 years
    3. 19 years ✓
    4. 15 years

70. 70. The sum of the ages of a father and son is 70 years. The father is 34 years older than the son. Find the father's age.

    1. 55 years
    2. 48 years
    3. 52 years ✓
    4. 50 years

71. 71. The sum of the ages of A and B is 40 years. A is 20 years older than B. Find B's age.

    1. 10 years ✓
    2. 12 years
    3. 8 years
    4. 15 years

72. 72. When solving an age problem involving 'N years ago', what must be subtracted from the present age of each person to represent their age at that time?

    1. N/2
    2. 2N
    3. N ✓
    4. N squared

73. 73. The sum of the ages of A, B, and C is 53 years. A is 2 years older than B, and B is 3 years older than C. Find A's age.

    1. 18 years
    2. 22 years
    3. 16 years
    4. 20 years ✓

74. 74. A father is three times as old as his son. After 12 years, the father will be twice as old as his son. Find the son's present age.

    1. 10 years
    2. 14 years
    3. 8 years
    4. 12 years ✓

75. 75. A's age is 20% more than B's age. If B is 50 years old, find A's age.

    1. 55 years
    2. 62 years
    3. 60 years ✓
    4. 58 years

76. 76. A person's present age is 40 years. What will his age be 12 years from now?

    1. 48 years
    2. 54 years
    3. 52 years ✓
    4. 50 years

77. 77. A is 4 years older than B. 6 years ago, A was twice as old as B. Find A's present age.

    1. 13 years
    2. 12 years
    3. 14 years ✓
    4. 16 years

78. 78. The present ages of A and B are in the ratio 5:6. Four years ago, their ages were in the ratio 3:4. Find A's present age.

    1. 9 years
    2. 8 years
    3. 10 years ✓
    4. 12 years

79. 79. The sum of the ages of A, B, and C is 52 years. A is 2 years older than B, and B is 4 years older than C. Find C's age.

    1. 12 years
    2. 10 years
    3. 16 years
    4. 14 years ✓

80. 80. The sum of the ages of A, B, and C is 60 years. A is 3 years older than B, and B is 6 years older than C. Find C's age.

    1. 15 years ✓
    2. 13 years
    3. 17 years
    4. 11 years

81. 81. In a two-person age problem where the ratio of present ages and a future or past ratio are both given, what mathematical technique is generally used to find their exact ages?

    1. Simple addition of the two ratios
    2. Ignoring one of the ratios entirely
    3. Setting up and solving a system of two equations ✓
    4. Taking the average of the two ratios

82. 82. A person's present age is 22 years. What will his age be 9 years from now?

    1. 29 years
    2. 31 years ✓
    3. 33 years
    4. 28 years

83. 83. The sum of the ages of A and B is 50 years. A is 30 years older than B. Find A's age.

    1. 40 years ✓
    2. 35 years
    3. 45 years
    4. 38 years

84. 84. The average age of 20 students in a class is 16 years. When the teacher's age is included, the average becomes 17 years. Find the teacher's age.

    1. 35 years
    2. 37 years ✓
    3. 33 years
    4. 39 years

85. 85. A person's present age is 42 years. What was his age 15 years ago?

    1. 24 years
    2. 25 years
    3. 27 years ✓
    4. 29 years

86. 86. The ages of A and B are in the ratio 5:3. If the sum of their ages is 64 years, find A's age.

    1. 45 years
    2. 40 years ✓
    3. 35 years
    4. 38 years

87. 87. A is twice as old as B. 6 years ago, A was four times as old as B. Find A's present age.

    1. 20 years
    2. 16 years
    3. 18 years ✓
    4. 14 years

88. 88. A father is presently 33 years old. 3 years ago, his age was 5 times his son's age then. Find the son's present age.

    1. 8 years
    2. 7 years
    3. 11 years
    4. 9 years ✓

89. 89. The sum of the ages of A, B, and C is 60 years. A is 2 years older than B, and B is 2 years older than C. Find A's age.

    1. 20 years
    2. 18 years
    3. 24 years
    4. 22 years ✓

90. 90. The average age of 15 people increases by 4 years when a person aged 25 is replaced by a new person. Find the new person's age.

    1. 90 years
    2. 80 years
    3. 75 years
    4. 85 years ✓

91. 91. A father is presently 30 years old. In 4 years, his age will be twice his son's age then. Find the son's present age.

    1. 10 years
    2. 11 years
    3. 15 years
    4. 13 years ✓

92. 92. The ages of a father and son are in the ratio 7:4. If the sum of their ages is 55 years, find the son's age.

    1. 22 years
    2. 18 years
    3. 20 years ✓
    4. 15 years

93. 93. The sum of the ages of A and B is 56 years. A is 28 years older than B. Find A's age.

    1. 40 years
    2. 45 years
    3. 38 years
    4. 42 years ✓

94. 94. A's age is 50% more than B's age. If B is 30 years old, find A's age.

    1. 45 years ✓
    2. 48 years
    3. 42 years
    4. 40 years

95. 95. The ages of A and B are in the ratio 6:5. If the sum of their ages is 66 years, find A's age.

    1. 32 years
    2. 36 years ✓
    3. 38 years
    4. 30 years

96. 96. The average age of 4 people is 22 years. If a new person joins, the average becomes 24 years. Find the new person's age.

    1. 32 years ✓
    2. 30 years
    3. 34 years
    4. 28 years

97. 97. The average age of 10 people increases by 3 years when a person aged 18 is replaced by a new person. Find the new person's age.

    1. 45 years
    2. 42 years
    3. 51 years
    4. 48 years ✓

98. 98. The sum of the ages of A, B, and C is 54 years. A is 2 years older than B, and B is 2 years older than C. Find C's age.

    1. 16 years ✓
    2. 18 years
    3. 14 years
    4. 12 years

99. 99. The sum of the ages of a father and son is 80 years. The father is 40 years older than the son. Find the son's age.

    1. 18 years
    2. 15 years
    3. 20 years ✓
    4. 25 years

100. 100. A's age is 25% more than B's age. If B is 40 years old, find A's age.

     1. 50 years ✓
     2. 48 years
     3. 45 years
     4. 52 years