Problems on Ages Quiz Set 005

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Question 1

My present age is 315 times the reciprocal of my age 6 years back. What is my present age?

 A

21 years.

 B

22 years.

 C

20 years.

 D

23 years.

Soln.
Ans: a

Let the present age be x. Then $x = 315/{x - 6}$. At this stage a better option is that you try putting the given answers into this expression one by one. The other option is to simplify this expression into a quadratic equation $x × (x - 6)$ = 315. This can now be solved to give x = 21 years.


Question 2

The sum of ages of two friends is 12, whereas the product of their ages is 35. What is the sum of squares of their ages?

 A

74 years.

 B

75 years.

 C

73 years.

 D

76 years.

Soln.
Ans: a

Let the ages be x and y. We are given x + y = 12, and xy = 35. Substituting in the identity $x^2 + y^2 = (x + y)^2 - 2 × xy$, we get $x^2 + y^2 = 12^2 - 2 × 35$ = 74.


Question 3

The ratio of ages of P and Q today is ${29/59}$. After 3 years, their ages will be in the ratio ${119/239}$. What is the age of P today?

 A

116 years.

 B

117 years.

 C

115 years.

 D

118 years.

Soln.
Ans: a

Let the ages of P and Q be 29x and 59x. After 3 years the ratio would be ${29x + 3}/{59x + 3}$ = ${119/239}$. Solving, we get x = 4. So age of P = 29 × 4 = 116.


Question 4

When the daughter was born, the age of her mother was same as the daughter's age today. What was the age of the daughter 5 years back, if the age of the mother today is 36 years?

 A

13 years.

 B

14 years.

 C

12 years.

 D

15 years.

Soln.
Ans: a

Clearly, the age of the mother is twice her daughter's present age. So the daughter's age today is 36/2 = 18 years. And, 5 years back the age of the daughter was 18 - 5 = 13 years.


Question 5

4 years back the ratio of ages of X and Y was ${13/27}$. The ratio of their ages 3 years from now would be ${10/17}$. What is the present age of X?

 A

17 years.

 B

18 years.

 C

16 years.

 D

19 years.

Soln.
Ans: a

Let their present ages be x and y. Then ${x - 4}/{y - 4} = $ ${13/27}$. Similarly, ${x + 3}/{y + 3} = $ ${10/17}$. Solving these equations for x and y, we get y = 31, and x = 17 years as the answer.


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This Blog Post/Article "Problems on Ages Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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