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Arithmetic: Problems on Ages — Solved MCQs Solved MCQs

Solved problems on ages MCQs — 31 questions on age ratios, present and future ages, father-son ages, years since marriage and age-difference problems, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers age ratios, multiples and totals.

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Questions

31

Time

31

Minutes

Subjects

1

Topics

25

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About this paper

This is the Arithmetic: Problems on Ages solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 31 published questions (book pp. 748-750) on age ratios, present ages from past and future multiples, father-son and mother-child ages, totals and differences, years since marriage and age riddles, each with a worked explanation and a verified answer.

mathematics-mcqs arithmetic-problems-on-ages problems-on-ages-mcqs age-problems-mcqs age-ratio-mcqs fpsc-past-papers mathematics ppsc nts css-mpt one-paper-exams basic-arithmetic

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Arithmetic: Problems on Ages — Solved MCQs

Read mode 31 MCQs · 31 minutes

Subject 1

Mathematics

31 MCQs
1

Topic Section

Present Age From Future And Past Multiples

1 solved MCQs shown directly below

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Q 1 Mathematics Present Age From Future And Past Multiples

Aslam's age after 15 years will be 5 times his age 5 years back. What is the present age of Aslam?

A

10 years

B

12 years

C

15 years

D

20 years

View answer & explanation Ans: 10 years

Correct Answer: 10 years

x + 15 = 5(x - 5) gives 4x = 40, so Aslam is 10 years old.

2

Topic Section

Father's Present Age

4 solved MCQs shown directly below

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Q 2 Mathematics Father's Present Age

The present age of father is 3 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father?

A

25 years

B

33 years

C

39 years

D

42 years

View answer & explanation Ans: 33 years

Correct Answer: 33 years

Son 10 years, father 3 x 10 + 3 = 33 years; in 3 years 36 is 10 more than twice 13.

Q 4 Mathematics Father's Present Age

Ali's age after six years will be three-seventh of his father's age. Ten years ago, the ratio of their ages was 1:5. What is Ali's father's age at present?

A

50 years

B

45 years

C

42 years

D

40 years

View answer & explanation Ans: 50 years

Correct Answer: 50 years

Ali 18 years and his father 50 years: 10 years ago 8 and 40 (1:5), in 6 years 24 is three-seventh of 56.

Q 22 Mathematics Father's Present Age

Four years ago, the father's age was three times the age of his son. The total of the ages of the father and the son after four years will be 64 years. What is the father's age at present?

A

30 years

B

33 years

C

36 years

D

40 years

View answer & explanation Ans: 40 years

Correct Answer: 40 years

Four years ago the father was 36 and the son 12; the father is 40 at present (in 4 years 44 + 20 = 64). The printed key (c) 36 is the father's age four years ago, not his present age.

Q 25 Mathematics Father's Present Age

The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the sum of the ages of his son. The father's present age is:

A

35 years

B

40 years

C

45 years

D

50 years

View answer & explanation Ans: 45 years

Correct Answer: 45 years

The sons' ages sum to 15 and the father is 45; in 5 years 50 is double 25.

3

Topic Section

Present Ages From Past And Future Multiples

1 solved MCQs shown directly below

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Q 3 Mathematics Present Ages From Past And Future Multiples

Riaz was 4 times as old as his son 8 years ago. After 8 years, Riaz will be twice as old as his son. What are their present ages?

A

30 years, 32 years

B

25 years, 27 years

C

16 years, 40 years

D

28 years, 35 years

View answer & explanation Ans: 16 years, 40 years

Correct Answer: 16 years, 40 years

Son 16 years and Riaz 40 years: 8 years ago 8 and 32 (4 times), in 8 years 24 and 48 (twice).

4

Topic Section

Future Age Ratio

2 solved MCQs shown directly below

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Q 5 Mathematics Future Age Ratio

The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?

A

3:4

B

4:5

C

7:8

D

9:11

View answer & explanation Ans: 7:8

Correct Answer: 7:8

1 part = 4 years, so P is 24 and Q is 28; after 4 years 28:32 = 7:8.

Q 12 Mathematics Future Age Ratio

The ratio of the present ages of two brothers is 1:2 and 5 years back, the ratio was 1:3. What will be the ratio of their ages after 5 years?

A

1:4

B

2:3

C

3:5

D

5:7

View answer & explanation Ans: 3:5

Correct Answer: 3:5

The brothers are 10 and 20 now (5 years back 5 and 15, 1:3); in 5 years 15:25 = 3:5.

5

Topic Section

Total Of Present Ages

2 solved MCQs shown directly below

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Q 6 Mathematics Total Of Present Ages

The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present age?

A

40 years

B

48 years

C

52 years

D

55 years

View answer & explanation Ans: 48 years

Correct Answer: 48 years

1 part = 4 years, so P is 20 and Q is 28, and their present ages total 48 years.

Q 16 Mathematics Total Of Present Ages

Ten years ago, A was half of B in age. If the ratio of their present ages is 3:4, what will be the total of their present ages?

A

35 years

B

30 years

C

28 years

D

24 years

View answer & explanation Ans: 35 years

Correct Answer: 35 years

A is 15 and B is 20 now (10 years ago 5 and 10, half); their total is 35 years.

6

Topic Section

Present Age From Ratio And Future Age

1 solved MCQs shown directly below

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Q 7 Mathematics Present Age From Ratio And Future Age

At present, the ratio between the ages of Ali and Danial is 4:3. After 6 years, Ali's age will be 26 years. What is the age of Danial at present?

A

12 years

B

13 years

C

15 years

D

17 years

View answer & explanation Ans: 15 years

Correct Answer: 15 years

Ali is 20 now (26 - 6), so 1 part = 5 years and Danial is 3 x 5 = 15 years.

7

Topic Section

Present Age From Ratio Change

2 solved MCQs shown directly below

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Q 8 Mathematics Present Age From Ratio Change

Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?

A

35

B

40

C

45

D

50

View answer & explanation Ans: 35

Correct Answer: 35

1 part = 7 years, so X is 5 x 7 = 35 years and Y is 42; in 7 years 42:49 = 6:7.

Q 9 Mathematics Present Age From Ratio Change

Present ages of Samar and Anwar are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anwar's present ages in years?

A

24

B

27

C

30

D

33

View answer & explanation Ans: 24

Correct Answer: 24

1 part = 6 years, so Anwar is 4 x 6 = 24 years and Samar is 30; in 3 years 33:27 = 11:9.

8

Topic Section

Present Age From Past And Future Ratios

1 solved MCQs shown directly below

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Q 10 Mathematics Present Age From Past And Future Ratios

Six years ago, the Ratio of the ages of Kamal and Sarwar was 6:5. Four years hence, their ages will be 11:10. What is Sarwar's age at present?

A

10 years

B

16 years

C

20 years

D

23 years

View answer & explanation Ans: 16 years

Correct Answer: 16 years

1 part = 2 years, so 6 years ago Sarwar was 10 and he is 16 at present; Kamal is 18 now and in 4 years 22:20 = 11:10.

9

Topic Section

Present Age From Total And Past Ratio

1 solved MCQs shown directly below

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Q 11 Mathematics Present Age From Total And Past Ratio

The total of the ages of Jaunaid, Akram and Salman is 93 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present ago of Salman?

A

25 years

B

28 years

C

38 years

D

42 years

View answer & explanation Ans: 38 years

Correct Answer: 38 years

Ten years ago their ages totalled 63 years, so 1 part = 7 years and Salman was 28 then, 38 now.

10

Topic Section

Years Ago For A Given Ratio

1 solved MCQs shown directly below

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Q 13 Mathematics Years Ago For A Given Ratio

Haris is 40 years old and Roshan is 60 years old. How many years ago was the ratio of their ages 3:5?

A

8 years

B

10 years

C

15 years

D

20 years

View answer & explanation Ans: 10 years

Correct Answer: 10 years

10 years ago Haris was 30 and Roshan 50, a ratio of 3:5.

11

Topic Section

Future Age Ratio From Product

1 solved MCQs shown directly below

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Q 14 Mathematics Future Age Ratio From Product

The ratio of the father's age to his son's age is 7:3. The product of their ages is 756. The ratio of their age after 6 years will be:

A

2:1

B

3:4

C

5:7

D

7:9

View answer & explanation Ans: 2:1

Correct Answer: 2:1

21 parts squared = 756 gives 1 part = 6 years, so father 42 and son 18; after 6 years 48:24 = 2:1.

12

Topic Section

Years Since Marriage

1 solved MCQs shown directly below

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Q 15 Mathematics Years Since Marriage

The ratio of the ages of a man and his wife is 4:3. After 4 years, this ratio will be 9:7. If at the time of marriage, the ratio was 5:3, then how many years ago were they married?

A

8 years

B

12 years

C

15 years

D

17 years

View answer & explanation Ans: 12 years

Correct Answer: 12 years

The man is 32 and his wife 24 now; 12 years ago they were 20 and 12, a ratio of 5:3.

13

Topic Section

Age From Sum And Relations

1 solved MCQs shown directly below

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Q 17 Mathematics Age From Sum And Relations

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

A

7 years

B

10 years

C

13 years

D

18 years

View answer & explanation Ans: 10 years

Correct Answer: 10 years

C is 5, B is 10 and A is 12 years old, totalling 27 years.

14

Topic Section

Son's Present Age

1 solved MCQs shown directly below

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Q 18 Mathematics Son's Present Age

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is:

A

12 years

B

15 years

C

22 years

D

28 years

View answer & explanation Ans: 22 years

Correct Answer: 22 years

Son 22 years: in 2 years the son is 24 and the man, 24 years older, is 48, twice the son.

15

Topic Section

Sum Of Present Ages

1 solved MCQs shown directly below

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Q 19 Mathematics Sum Of Present Ages

Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:

A

88

B

98

C

100

D

108

View answer & explanation Ans: 108

Correct Answer: 108

The son is 36 and the father 72 now (18 years ago 18 and 54, three times); their sum is 108 years.

16

Topic Section

Mother's Present Age

1 solved MCQs shown directly below

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Q 20 Mathematics Mother's Present Age

A person's age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

A

25 years

B

30 years

C

40 years

D

50 years

View answer & explanation Ans: 40 years

Correct Answer: 40 years

The mother is 40 and the person 16 now; in 8 years 24 is half of 48.

17

Topic Section

Present Age Ratio

1 solved MCQs shown directly below

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Q 21 Mathematics Present Age Ratio

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A

7:3

B

5:7

C

7:9

D

6:8

View answer & explanation Ans: 7:3

Correct Answer: 7:3

The father is 70 and the son 30 now (10 years ago 60 and 20, thrice; in 10 years 80 and 40, twice), a ratio of 7:3.

18

Topic Section

Son's Future Age

1 solved MCQs shown directly below

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Q 23 Mathematics Son's Future Age

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of his son. After 6 years, son's age will be:

A

20 years

B

25 years

C

28 years

D

30 years

View answer & explanation Ans: 20 years

Correct Answer: 20 years

Six years ago the son was 8 and the father 40 (sum 48); the son is 14 now and 20 in 6 years.

19

Topic Section

Age Difference

1 solved MCQs shown directly below

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Q 24 Mathematics Age Difference

The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?

A

10 years

B

12 years

C

15 years

D

18 years

View answer & explanation Ans: 12 years

Correct Answer: 12 years

(A + B) - (B + C) = A - C = 12 years, so C is 12 years younger than A.

20

Topic Section

Youngest Child's Age

1 solved MCQs shown directly below

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Q 26 Mathematics Youngest Child's Age

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A

4 years

B

6 years

C

7 years

D

9 years

View answer & explanation Ans: 4 years

Correct Answer: 4 years

Youngest x gives 5x + 30 = 50, so the youngest child is 4 years old.

21

Topic Section

Elder's Present Age

1 solved MCQs shown directly below

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Q 27 Mathematics Elder's Present Age

The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is:

A

30 years

B

35 years

C

40 years

D

45 years

View answer & explanation Ans: 35 years

Correct Answer: 35 years

The younger is 25 and the elder 35 now (15 years ago 10 and 20, twice).

22

Topic Section

Present Age Of B

1 solved MCQs shown directly below

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Q 28 Mathematics Present Age Of B

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the preset age of B is:

A

30 years

B

33 years

C

39 years

D

45 years

View answer & explanation Ans: 39 years

Correct Answer: 39 years

B is 39 and A is 48 now; in 10 years A is 58, twice B's age 10 years ago (29).

23

Topic Section

Grandfather's Present Age

1 solved MCQs shown directly below

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Q 29 Mathematics Grandfather's Present Age

If 6 years are subtracted from the present age of Gulshan and the remainder is divided by 18, then the present age of his grandson Ali is obtained. If Ali is 2 years younger to Moeen whose age is 5 years, then what is Gulshan's present age?

A

40 years

B

60 years

C

68 years

D

70 years

View answer & explanation Ans: 60 years

Correct Answer: 60 years

Ali is 5 - 2 = 3 years old, so (Gulshan - 6) / 18 = 3 gives Gulshan 60 years.

24

Topic Section

Difference Between Parents' Ages

1 solved MCQs shown directly below

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Q 30 Mathematics Difference Between Parents' Ages

Nadia's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A

3 years

B

6 years

C

9 years

D

10 years

View answer & explanation Ans: 6 years

Correct Answer: 6 years

The father is 38 + Nadia's age and the mother is 36 + (Nadia's age - 4), a difference of 6 years.

25

Topic Section

Age From Riddle Equation

1 solved MCQs shown directly below

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Q 31 Mathematics Age From Riddle Equation

A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am?" What was the age of the person?

A

18 years

B

20 years

C

22 years

D

25 years

View answer & explanation Ans: 18 years

Correct Answer: 18 years

3(x + 3) - 3(x - 3) = 18, so the person is 18 years old.

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Questions

Paper practice FAQs

How many questions are in the Arithmetic: Problems on Ages MCQ bank? +

31 questions are published. The book prints 34 items; 3 are dropped because no unique correct option exists as printed (one asks for Ali but keys Imran's age, one gives Imran as 14 years with no such option, one asks for the son's age five years back but keys his present age), rather than guessed.

What does the Arithmetic: Problems on Ages bank cover? +

Age ratios between two or more people, present ages from past and future multiples, father-son and mother-child ages, totals and differences of ages, ages from products, years since marriage, youngest-child and age-riddle problems.

Are the answers in the Problems on Ages bank verified? +

Yes. Every published answer was solved from scratch and checked against the book's printed Answer Key (p. 750); the key agrees on 30 of the 31 published items, and the one disagreement (a father's present age of 40, keyed as his age four years ago, 36) is corrected to the verified answer.

Which exams does the Problems on Ages bank help with? +

It is drawn from an FPSC model-paper book, but age-ratio and age-word problems appear in the same form in PPSC, NTS, PTS, CSS MPT and all Pakistan one-paper exams, so it serves aspirants of every body.

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