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This year, the sum of ages of the Suresh’s family members is 78. Currently, there are 4 members namely viz Suresh, Rita, Deepa and Tarun. Suresh is 4 years older than Rita. Deepa is two years older than Tarun. If Suresh is 7 times as old as Tarun, how old is Deepa?

A.

4

B.

5

C.

6

D.

7

Answer with explanation

Answer: Option DExplanation

S+R+D+T = 78 – (i)

S = R + 4 – (ii)

D = T + 2 – (iii)

S = 7T – (iv)

7T = R+4

R= 7T – 4

h+w+d+s = 78 – (i)

7T+7T-4+T+2+T = 78

16T = 80

T = 5

d = T+2 = 5+2 = 7

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The difference between the mother and her daughter is 30 years. 4 years hence, the age of mother will be four times that of her daughter. What is the age of the mother?

A.

36 years

B.

32 years

C.

42 years

D.

28 years

Answer with explanation

Answer: Option AExplanation

X – mother; y-daughter

x – y = 30

y = x – 30

After 4 Years

x + 4 = 4 (y + 4)

x + 4 = 4 (x – 30 + 4)

x + 4 = 4x – 120 + 16

4 + 104 = 4x – x

3x = 108

X = 36 years

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At present Nithya is eight years elder to Priya. Divya is two years younger than Nithya. If the respective ratio between the present age of Priya and Divya is 3:4, then what is the present age of Divya?

A.

20 years

B.

22 years

C.

24 years

D.

26 years

Answer with explanation

Answer: Option CExplanation

Let the present age of Nithya be, x

∴ the present age of Priya = x -8 and Divya = x – 2

According to the question,

(x-8) / (x-2) = 3/4

4x – 32 = 3x -6

x =26

Hence, the present age of Priya = 26 – 2 = 24 years

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A.

1

B.

–2

C.

3

D.

2

Answer with explanation

Answer: Option BExplanation

one year from now, D+d=s

two years after that, D+2+d+2=s+2

D+d-s=2-4=-2

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If 6 years are subtracted from the present age of Anuj and the remainder is divided by 18, then the present age of his grandson Gopal is obtained.If Gopal is 2 years younger to Mohan whose age is 5 years, then what is the age of Anuj?

A.

44

B.

60

C.

80

D.

92

Answer with explanation

Answer: Option BExplanation

Let Anuj’s age be X

Gopal is 2 years younger than Mohan, so Gopal is 3 years (i.e 5 – 2 = 3)

If Arun had born 6 years before, his age would had been X – 6. As per the question, X – 6 should be 18 times as that of Gokul’s age.

i.e. (X – 6) /18= 3

X-6 =3 x 18

x = 60

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The ratio of present age of Amit to that of Pranav is 3:7 while the ratio of age of Pranav to that of Praveen is 7:15. If Pranav is 16 years younger than Praveen than find the age of Amit’s father who is four times the Amit’s age?

A.

14

B.

30

C.

47

D.

24

Answer with explanation

Answer: Option DExplanation

Let the age of Pranav be 7x and Praveen be 15x

According to the question,

15x-7x = 16

8x= 16

x= 2

Age of Pranav = 7*2 = 14 years

Age of Praveen= 15 * 2= 30 years

Amit’s age= 3*2= 6 years

Amit’s father age = 6* 4 = 24 years

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A.

24 yrs and 32 yrs

B.

24 yrs and 35 yrs

C.

32 yrs and 35 yrs

D.

24 yrs and 30 yrs

Answer with explanation

Answer: Option BExplanation

When Karthik was born, his mother’s age was 28 years and his brother is 4 yrs elder to Karthik.

∴ Karthik mother’s age (at his brother’s birth) = 28 – 4 = 24 years

Karthik father was 30 years old when his sister was born. Karthik’s sister is 5 years elder to his brother.

∴ The age of Karthik father (at his brother’s birth) = 30 + 5 = 35 years

Hence, the age of Karthik mother and father was 24yrs and 35yrs

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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.

28 ( 4 / 7 ) years

B.

32 ( 1 / 7 ) years

C.

31 ( 5 / 7) years

D.

Cannot be determined

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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