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A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

A.

B.

32 ( 1 / 7 ) years

C.

D.

Answer with explanation

Answer: Option CExplanation

Given

The family consists of two grandparents, two parents and three grandchildren

The average age of two grandparents = 67 years.

=> Total age of two grandparents = (67 * 2) = 134 years

The average age of two parents = 35 years

=> Total age of two parents = (35 * 2) = 70 years

The average age of three grand children = 6 years.

=> Total age of three grand children = (6 * 3) = 18 years.

Required Average age of the family = Total age of (two grandparents + two parents + three grand children) / Total members in the family

= ( 134 + 70 + 18 ) / (2 + 2 + 3)

= 222 / 7

= 31 (5 / 7) years

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A man’s current age is (2/5) of the age of his father. After 8 years, he will be (1/2) of the age of his father. What is the age of the father at now?

A.

50 years

B.

40 years

C.

43 years

D.

33 years

Answer with explanation

Answer: Option BExplanation

Let, father’s current age is A years.

Then, Man’s current age =[ (2/5)A ]years.

Therefore, [ (2/5)A + 8 ]= (1/2)(A + 8)

2(2A + 40) = 5(A + 8)

A = 40

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

A.

12 years

B.

14 years

C.

18 years

D.

20 years

Answer with explanation

Answer: Option DExplanation

et the present ages of son and father be x and (60 – x) years respectively.

Then, (60 – x) – 6 = 5(x – 6)

6x = 84 => x = 14

Son’s age after 6 years = (x + 6) = 20 years.

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The ratio of the current ages of Ajay and Vijay is 7:4. The ratio between Ajay’s age 6 years ago and Vijay’s age 6 years from now is 1:1. Find the ratio between Ajay’s age after 12 years and Vijay’s age 12 years ago.

A.

12:1

B.

10:1

C.

1:1

D.

None of these

Answer with explanation

Answer: Option BExplanation

Let the current age of Ajay and Vijay be 7x and 4x respectively.

`(7x – 6) / (4x + 6) = 1/1`

7x – 6 = 4x + 6

3x = 12

x = 4

Therefore, `(7x + 12) / (4x – 12) = (7**4 + 12) / (4 ** 4 -12) = 40/4 = 10/1`

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Atif’s age is 1/6th of his father’s age. Atif’s father, Kayyum’s age will be twice the age of Ravi’s age after 10 years. If Ravi’s tenth birthday was celebrated three years before, then what is Atif’s present

A.

B.

C.

D.

Answer with explanation

Answer: Option DExplanation

Let the present age of Ravi = r

Then we have R= 10 + 3 = 13 years as Ravi’s 10th Birthday was three years ago

Now we have Ravi’s age after 10 years = r + 10

=> 13 + 10

=> 23

Let the present age of Atif And Kayyum will be a and k

k + 10 = 2 * ( 10 + r )

=> k + 10 = 2 * 23

=> k = 46 -10

= 36.

Hence, Age of Atif = k / 6

=> 36 / 6

=> 6 years.

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Two years ago the ratio of ages of Naresh and Suresh was 3:2. If one year hence, the ratio of their ages will be 7:5, what is the sum of their present ages?

A.

30 years

B.

32 years

C.

34 years

D.

36 years

Answer with explanation

Answer: Option CExplanation

Let two years ago, the ages of Naresh and Suresh was 3X and 2X.

So one year hence, the ages of Naresh and Suresh would be 3X+3 and 2X+3 respectively.

As per question;

3x+3/2x+3=7/5

15X + 15= 14X + 21

X = 6

Present age of Naresh =3*6 + 2 = 20 years

Present age of Suresh = 2*6 + 2 = 14 years

∴Sum of their present ages = 20 + 14 = 34 years

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The sum of present ages of Ashok, Anil and Ajay is 75 years.If 5 years ago the ratio of their ages was 3 : 4 : 5, What is the present age of Anil?

A.

26 Years

B.

65 Years

C.

25 Years

D.

32 Years

Answer with explanation

Answer: Option CExplanation

Let 5 years age, the age of ashok, Anil and Ajay were 3x, 4x and 5x years. Then, their present ages are ( 3x + 5), (4x + 5) abd ( 5x + 5) years.

Now, 3x +5 + 4x +5 + 5x + 5 = 75 => 12x = 60 x = 5

Hence, present age of Anil = 4x + 5 = 4 x 5 + 5 = 25 years.

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My father was 30 years of age when my sister was born. My mother was 38 years of age when I was born. My sister was 6 years of age when my brother was born who is 3 years elder to me. What was the age of my father and my mother during the birth of my brother?

A.

41,36

B.

36,35

C.

24,28

D.

28,24

Answer with explanation

Answer: Option BExplanation

My brother was born 6 years after my sister was born and 3 years before I was born.

Age of father during my brother’s birth = (30 + 6) = 36 years.

Age of mother during my brother’s birth = (38 – 3) = 35 years.

Hence, during the birth of my brother, my father was 36 years old and my mother was 35 years old.

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Tanya’s grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Tanya’s age to that of her grandfather?

A.

B.

C.

11.53

D.

Answer with explanation

Answer: Option BExplanation

Let, Tanya age 16 years ago = x,

Grandfather’s age 16 years ago = 8x.

8 years from now, 3(x+16+8) = (8x+16+8)

=> x = 48/5

8 years ago Ratio was:

=> x + 8 / 8x + 8

=> 48 / 5 +( 8 ) / 8 * (48 / 5 ) + 8

=> 88 / 424

=> 11 / 53

the correct answer is 11 / 53=11:53

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Ten years ago, the sum of ages of a father and his son was 34 years. If the ratio of present ages of the father and son is 7:2, find the present age of the son.

A.

12 years

B.

11 years

C.

10 years

D.

8 years

Answer with explanation

Answer: Option AExplanation

Let the present age of the father is 7X and present age of son is 2X.

As per question, ten years ago;

(7X – 10)+ (2X – 10) = 34

7X – 10 + 2X – 10= 34

9X = 34 + 20

9X = 54

X = 6

∴Present age of son = 2 * 6= 12 years

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