Acme Academy,Raipur

Exam Code Test Booklet Code

15-4-20 ( PROBLEM on Ages)

1. The sum of ages of 4 puppies born at the intervals of 2 years 7. The sum of the ages of a mother and her daughter is 50 yrs.
each is 48 years. What is the age of the youngest puppy? Also 5 yrs ago, the mother's age was 7 times the age of the
daughter. What are the present ages of the mother and the
(a) 9 years daughter?
(b) 8 years
(c) 10 years (a) 35, 5
(d) None of these (b) 40, 10
(e) None of these (c) 30, 20
(d) 25, 15
(e) None of these

2. Age of father 30 years ago was 9 times the age of her son. After
30 years, father's age will be thrice that of his son. Find the ratio
of their present ages. 8. The sum of the ages of a father and his son is 45 years. Five
years ago, the product of their ages is 34. Find the present age
(a) 21 : 5 of father.
(b) 29 : 5
(c) 27 : 4 (a) 32 years
(d) 21 : 3 (b) 36 years
(e) None of these (c) 38 years
(d) 40 years
(e) 39 years

3. The average age of a lady and her daughter is 28.5. The ratio of
their ages is 14 : 5 respectively. What is the daughter's age?
9. Present ages of Rama and Shyama are in the ratio of 4 : 5
(a) 12 years respectively. Five years hence the ratio of their ages becomes 5 :
(b) 15 years 6 respectively. What is Rama's present age?
(c) 18 years
(d) Cannot be determined (a) 25 years
(e) None of these (b) 22 years
(c) 20 years
(d) 30 years
(e) None of these
4. The age of a man is 4 times that of his son. 5 yrs ago, the man
was nine times as old as his son was at that time. What is the
present age of the man?
10. Eighteen years ago, a father was three times as old as his son.
(a) 28 yrs Now the father is only twice as old as his son. Then the sum of
(b) 32 yrs the present ages of the son and the father is:
(c) 40 yrs
(d) 42 yrs (a) 54
(e) None of these (b) 72
(c) 105
(d) 108
(e) 116
5. Two years ago the ratio of the ages of Swati and Khyati was 5 :
7 respectively. Two years hence the ratio of their ages will be 7 :
9 respectively. What is the present age of Khyati?
11. The present age of the father and the son are in the ratio of 8:3.
(a) 16 years After 12 years the ratio of their ages will be 2:1. What is the
(b) 14.5 years sum of the present age of the father and the son?
(c) 12 years
(d) Cannot be determined (a) 66yrs
(e) None of these (b) 70yrs
(c) 74yrs
(d) 78yrs
(e) 80yrs.

6. A man's age is 125% of what it was 10 years ago, but 83 % of

what it will be after 10 years. What is his present age?
12. The ratio of the father's age to the son's age is 4 : 1. The
(a) 30 yrs product of their ages is 196. What will be the ratio of their
(b) 40 yrs ages after 5 years?
(c) 50 yrs
(d) 60 yrs (a) 7:3
(e) None of these (b) 14 : 9
(c) 11 : 4
(d) 17 : 3
(e) None of these

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13. Tanya's grandfather was 8 times older to her 16 years ago. He 19. The ratio of Rita's age to the age of her mother is 3 : 11. The
would be 3 times of her age 8 years from now. Eight years difference of their ages is 24 yrs. What will be the ratio of their
ago, what was the ratio of Tanya's age to that of her ages after 3 yrs?
grandfather?
(a) 1:2
(a) 1:2 (b) 1:3
(b) 1:5 (c) 3:7
(c) 3:8 (d) 2:5
(d) 11 : 53 (e) None of these
(e) None of these

20. Average age of 36 children of the class is 15 years. 12 more

14. After 5 yrs, the age of a father will be thrice the age of his son, children joined whose average age is 16 years. What is the
whereas five years ago, he was 7 times as old as his son was. average age of all the 48 children together?
What are their present ages?
(a) 15.25 years
(a) 30 yrs (b) 15.5 years
(b) 40 yrs (c) 15.3 years
(c) 50 yrs (d) 15.4 years
(d) 60 yrs (e) None of these
(e) None of these

21. 10 Yrs ago, Sita's mother was 4 times older than her daughter.
15. Abhay's age after six years will be three-seventh of his father's After 10 yrs, the mother will be two times older than the
age. Ten years ago, the ratio of their ages was 1 : 5. What is daughter. What is the present age of Sita?
Abhay's father's age at present?
(a) 10 yrs
(a) 30 yrs (b) 30 yrs
(b) 40 yrs (c) 20 yrs
(c) 50 yrs (d) 40 yrs
(d) 60 yrs (e) None of these
(e) 70 yrs

22. Q is as much younger than R as he is older than T. If the sum

16. The present ages of three persons are in proportions 4 : 7 : 9. of the ages of R and T is 50 years, what is definitely the
Eight years ago, the sum of their ages was 56. Find their difference between R and Q's age?
present ages (in years).
(a) 1 year
(a) 8, 20, 28 (b) 2 years
(b) 16, 28, 36 (c) 25 years
(c) 20, 35, 45 (d) Data inadequate
(d) 25, 30, 40 (e) None of these
(e) None of these

23. If 6 years are subtracted from the present age of Gagan and the
17. A is two years older than his son. In two years, his age will be remainder is divided by 18, then the present age of his
twice the age of his son. The present age of the son is: grandson Anup is obtained. If Anup is 2 years younger to
Madan whose age is 5 years, then what is Gagan's present age?
(a) 7
(b) 8 (a) 48 years
(c) 9 (b) 60 years
(d) 10 (c) 84 years
(e) 11 (d) 96 years
(e) 100 years

18. The average age of a man and his son is 16 years. The ratio of
their ages is 15 : 1 respectively. What is the son's age? 24. The ratio between the present ages of P and Q is 3 : 4
respectively. Four years hence Q will be 5 years older than P.
(a) 30 years What is P's present age?
(b) 32 years
(c) 2 years (a) 15 years
(d) 4 years (b) 20 years
(e) None of these (c) 25 years
(d) Cannot be determined
(e) None of these

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25. In a family, a couple has a son and daughter. The age of the 31. The ratio between the present ages of P and Q is 6 : 7. If Q is 4
father is three times that of his daughter and the age of the son years old than P, what will be the ratio of the ages of P and Q
is half of his mother. The wife is nine years younger to her after 4 years?
husband and the brother is seven years older than his sister.
What is the age of the mother? (a) 3:4
(b) 3:5
(a) 40 years (c) 4:3
(b) 45 years (d) 7:8
(c) 50 years (e) None of these
(d) 60 years
(e) 65 years

32. A father said to his son, “I was as old as you are at present at
the time of your birth.” If the father's age is 38 years now, the
26. One year ago, Preeti was four times as old as her daughter son's age five years back was
Sonal. Six years hence, Preeti's age will exceed her daughter's
age by 9 years. The ratio of the present ages of Preeti and her (a) 14 years
daughter is : (b) 19 years
(c) 33 years
(a) 9:2 (d) 38 years
(b) 11 : 3 (e) None of these
(c) 12 : 5
(d) 13 : 4
(e) 17 : 7
33. 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:
27. Present age of Sudha and Neeta are in the ratio of 6 : 7
respectively. Five years ago their ages were in the ratio of 5 : 6 (a) 54
respectively. What is Sudha's present age? (b) 72
(c) 105
(a) 30 years (d) 108
(b) 35 years (e) 116
(c) 40 years
(d) Cannot be determined
(e) None of these
34. The present age of the father and the son are in the ratio of 8 :
3. After 12 years the ratio of their ages will be 2 : 1. What is
the sum of the present age of the father and the son?
28. Ten yrs 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) 66yrs
(b) 70yrs
(a) 25 (c) 74yrs
(b) 35 (d) 78yrs
(c) 45 (e) 80yrs.
(d) 50
(e) None of these

35. The present ages of Trisha and Shalini are in the ratio of 7 : 6
respectively . After 8 years the ratio of their ages will be 9 : 8.
29. The age of a man is three times the sum of the ages of his two What is the difference in their ages?
sons. Five years hence, his age will be double of the sum of
the ages of his sons. The father's present age is (a) 4 years
(b) 8 years
(a) 40 years (c) 10 years
(b) 45 years (d) 12 years
(c) 50 years (e) None of these
(d) 55 years
(e) 65 years

36. The respective ratio between the present age of Manisha and
Deepali is 5 : X. Manisha is 9 years younger than Parineeta.
30. The ratio between the school ages of Neelam and Shaan is 5 : Parineeta's age after 9 years will be 33 years. The difference
6 respectively. If the ratio between the one-third age of between Deepali's and Manisha's age is same as the present
Neelam and half of Shaan's age is 5 : 9, then what is the school age of Parineeta. What will come in place of X?
age of Shaan?
(a) 23
(a) 25 years (b) 39
(b) 30 years (c) 15
(c) Cannot be determined (d) Cannot be determined
(d) 35 years (e) None of these
(e) None of these

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37. After 5 yrs, the age of a father will be thrice the age of his son, 43. The sum of the ages of a mother and her daughter is 50 yrs.
whereas five years ago, he was 7 times as old as his son was. Also 5 yrs ago, the mother's age was 7 times the age of the
What are their present ages? daughter. What are the present ages of the mother and the
daughter?
(a) 30 yrs
(b) 40 yrs (a) 35, 5
(c) 50 yrs (b) 40, 10
(d) 60 yrs (c) 30, 20
(e) None of these (d) 25, 15
(e) None of these

38. One year ago, Preeti was four times as old as her daughter
Sonal. Six years hence, Preeti's age will exceed her daughter's 44. Two years ago the ratio of the ages of Swati and Khyati was 5
age by 9 years. The ratio of the present ages of Preeti and her : 7 respectively. Two years hence the ratio of their ages will be
daughter is : 7 : 9 respectively. What is the present age of Khyati?
(a) 9:2 (a) 16 years
(b) 11 : 3 (b) 14.5 years
(c) 12 : 5 (c) 12 years
(d) 13 : 4 (d) Cannot be determined
(e) 17 : 7 (e) None of these

39. Samir's age is one-fourth of his father's age and two-third of 45. Average age of 36 children of the class is 15 years. 12 more
his sister Reema's age. What is the ratio of the ages of Samir, children joined whose average age is 16 years. What is the
Reema and their father respectively ? average age of all the 48 children together?
(a) 3:2:8 (a) 15.25 years
(b) 3:4:8 (b) 15.5 years
(c) 2:3:8 (c) 15.3 years
(d) 4:3:8 (d) 15.4 years
(e) None of these (e) None of these

40. The present ages of three persons are in proportions 4 : 7 : 9. 46. The age of a man is three times the sum of the ages of his two
Eight years ago, the sum of their ages was 56. Find their sons. Five years hence, his age will be double of the sum of
present ages (in years). the ages of his sons. The father's present age is
(a) 8, 20, 28 (a) 40 years
(b) 16, 28, 36 (b) 45 years
(c) 20, 35, 45 (c) 50 years
(d) 25, 30, 40 (d) 55 years
(e) None of these (e) 65 years

41. Q is as much younger than R as he is older than T. If the sum 47. The ratio of the present ages of Mahesh and Ajay is
of the ages of R and T is 50 years, what is definitely the respectively 3 : 2. After 8 years, ratio of their ages will be 11 :
difference between R and Q's age? 8. What will be the present age of Mahesh's son if his age is
half of the present age of Ajay ?
(a) 1 year
(b) 2 years (a) 12 years
(c) 25 years (b) 24 years
(d) Data inadequate (c) 18 years
(e) None of these (d) 9 years
(e) None of these

42. Present age of Sudha and Neeta are in the ratio of 6 : 7

respectively. Five years ago their ages were in the ratio of 5 : 6 48. The ages of Samir and Tanuj are in the ratio of 8 : 15 years
respectively. What is Sudha's present age? respectively. After 9 years the ratio of their ages will be 11 :
18. What is the difference in years between their ages ?
(a) 30 years
(b) 35 years (a) 24 years
(c) 40 years (b) 20 years
(d) Cannot be determined (c) 33 years
(e) None of these (d) 21 years
(e) None of these

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49. If 6 years are subtracted from the present age of Gagan and the 50. The age of a man is 4 times that of his son. 5 yrs ago, the man
remainder is divided by 18, then the present age of his was nine times as old as his son was at that time. What is the
grandson Anup is obtained. If Anup is 2 years younger to present age of the man?
Madan whose age is 5 years, then what is Gagan's present age?
(a) 28 yrs
(a) 48 years (b) 32 yrs
(b) 60 years (c) 40 yrs
(c) 84 years (d) 42 yrs
(d) 96 years (e) None of these
(e) 100 years

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Exam Code Test Booklet Code

15-4-20 Answer Key

1. Answer: a 7. Answer: b
Solution Solution
Let the ages of puppies be x, (x + 2), (x + 4)and (x + 6) years.
Then, x + (x + 2) + (x + 4) + (x + 6) = 48
4x = 36, x = 9
Age of the youngest puppy = x = 9 years

2. Answer: a
Solution
At age of son be x and as father's age is 9 times the age of her son, 8. Answer: e
let it be 9x, nine years ago. Solution
At present: father's age will be (9x + 30) and son's age will be (x +
30)
After 30 years: father's age will be (9x + 30) +30 and son's age will
be (x + 30) + 30 father's age is thrice that of son
(9x + 30) +30 = 3 [(x + 30) + 30]
(9x + 60) = 3[x + 60]
Solving the equation, we get x = 20
We are asked to find the present ratio.
(9x + 30) : (x + 30) = 210 : 50 = 21:5 9. Answer: c
Solution

3. Answer: b
Solution

10. Answer: d
Solution

4. Answer: b
Solution

11. Answer: a
Solution

5. Answer: a
Solution

12. Answer: c
Solution

6. Answer: c
Solution

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13. Answer: d 20. Answer: a

Solution Solution

21. Answer: c

14. Answer: b Solution

Solution

22. Answer: d
Solution
15. Answer: c
Solution

23. Answer: b
Solution

16. Answer: b
Solution
24. Answer: a
Solution

17. Answer: d
Solution
25. Answer: d
Solution

18. Answer: c
Solution

19. Answer: b
Solution

26. Answer: d
Solution

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27. Answer: a 33. Answer: d

Solution Solution

34. Answer: a
Solution
28. Answer: e
Solution

35. Answer: a
Solution

29. Answer: b
Solution

36. Answer: e
Solution

30. Answer: c
Solution

37. Answer: b
Solution

31. Answer: d
Solution

38. Answer: d
Solution

32. Answer: a
Solution

39. Answer: c
Solution

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40. Answer: b 46. Answer: b

Solution Solution

41. Answer: d
Solution
47. Answer: a
Solution

42. Answer: a
Solution

48. Answer: d
Solution
43. Answer: b
Solution

49. Answer: b

44. Answer: a Solution

Solution

50. Answer: b
Solution

45. Answer: a
Solution

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