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Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?

A.

24

B.

27

C.

40

D.

none of these

Answer with explanation

Answer: Option AExplanation

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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, the how old is B?

A.

11

B.

8

C.

10

D.

11

Answer with explanation

Answer: Option CExplanation

Let C’s age be x years. Then, B’s age = 2x years. A’s age = (2x + 2) years.

∴ (2x + 2) + 2x + x = 27

⇒ 5x = 25

⇒ x = 5.

Hence, B’s age = 2x = 10 years.

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A father said to his son, “I was as old as you are at the present at the time of your birth”. If the father’s age is 38 years now, the son’s age five years back was

A.

14 years

B.

38 years

C.

19 years

D.

33 years

Answer with explanation

Answer: Option AExplanation

Let the son’s present age be x years. then,

Difference of father’s and son’s present age = Son’s present age

$(38 – x) = x $

⇔2x=38

⇔x=19

So, the son’s age five years back was, x−5=19−5=14 years

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

A.

8 years

B.

4 years

C.

10 years

D.

none of these

Answer with explanation

Answer: Option BExplanation

Solution:

Let the ages of children be *x*, (*x* + 3), (*x* + 6), (*x* + 9) and (*x* + 12) years.

Then, *x* + (*x* + 3) + (*x* + 6) + (*x* + 9) + (*x* + 12) = 50

⇒ 5*x* = 20

⇒ *x* = 4.

∴ Age of the youngest child = *x* = 4 years.

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A.

27

B.

C.

40

D.

None of these

Answer with explanation

Answer: Option BExplanation

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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 Divya = 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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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.

5 years

B.

4 years

C.

7 years

D.

6 years

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.

11:45

B.

11:35

C.

11.53

D.

12:35

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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Rahul is as much younger than Sagar as he is older than Purav. If the sum of the ages of Purav and Sagar is 66 years, and Sagar’s age is 48 years, then what is Purav’s age ? ( in years)

A.

18

B.

16

C.

20

D.

Cannot be determined

Answer with explanation

Answer: Option AExplanation

Let the age of Rahul, Sagar and Purav be x, y and z respectively

According to the given information

Age of Sagar – Age of Rahul = Age of Rahul – Age of Purav

⇒y−x=x−z⇒2x=y+z......(i)⇒y−x=x−z⇒2x=y+z……(i)

Also y + z = 66 years

From (i) x = 33 years

Also as per equation (i) we have Purav’s age + Sagar age = 66 years

by going through option (A) given **Purav = 18**,

And also Rahul = 33 years, Sagar = 48 years

Difference between Rahul’s and Purav’s age = 18 years

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Ten years ago A was half of B of age if the ratio of their present ages is 3: 4. What will be the total of their present ages?

A.

8

B.

20

C.

45

D.

35

Answer with explanation

Answer: Option DExplanation

Let A’s age 10 years ago = x years.

Then, B’s age 10 years ago = 2x years.

(x + 10) / (2x+ 10) = 3/4

=> x = 5.

So, the total of their present ages =(x + 10 + 2x + 10)

= (3x + 20) = 35 years.

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Present ages of Sameer and Anand are in the ratio of 4 respectively. These years hence, the ratio of their ages will become 11: 9 respectively. What is Anand’s present age in years

A.

27

B.

24

C.

40

D.

None of these

Answer with explanation

Answer: Option BExplanation

Let the present ages of Sameer and Anand be 5xyearsand4x5xyearsand4x years. respectiely

Then , 5x+34x+35x+34x+3 = 119119 ⇔⇔ 9(5x+3)= 11(4x+3)9(5x+3)= 11(4x+3) ⇔⇔ xx= 6

∴∴ Anand’s present age = 4x4x = 24 years.

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Virat’s father was 38 years of age when he was born while his mother was 36 years old when his brother four years younger than to him was born. What is the difference between the ages of his parents?

A.

2

B.

6

C.

4

D.

8

Answer with explanation

Answer: Option BExplanation

Mother’s age when Virat’s brother was born = 36 years

Father’s age when Virat’s brother was born = (38 + 4) = 42 years

So, the difference between his parent’s age = (42 – 36) = 6 years

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