8
Q:

# Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ?

 A) E = 15 & Y = 3 B) E = 14 & Y = 12 C) E = 40 & Y = 22 D) E = 4 & Y = 2

Answer:   D) E = 4 & Y = 2

Explanation:

Let the the age of the elder boy = E

Let the the age of the younger boy = Y

Given that Y = cube root of EY

=> $Y3$ = EY => E = $Y2$ .....(1)
By the condition of number replacement the age of the father is YE

The Mother's age = EY/2

But she is 3 years less than father => EY/2 + 3 = YE
2YE = EY + 6 ......(2)

Then now from the given options we can identify which satisfies the all the conditions.

Here Y =2 and E = 4 satisfies all the conditions.

Q:

A group of three friends, K, L and M, are sitting in a cafe. Their average age is 24 years. Another friend ‘N’ joins the group and the new average age of the group becomes 23 years. If another friend ‘R’, whose age is 2 years more than that of ‘N’, replaces ‘K’, then the average age of L. M, N and R becomes 22.5 years. What is the age of K?

 A) 15 years B) 10 years C) 12 years D) 14 years

Explanation:

0 68
Q:

The average age of A and B is 20 years. and that of B and C is 25 years. What is the age of A?

 A) 25 years B) 10 years C) 15 years D) 20 years

Explanation:

3 652
Q:

The sum of the current ages of A and B is 77 years. Seven years ago A was 2.5 times as old as B. What is A's present 4 age?

 A) 50 years B) 54 years C) 48 years D) 52 years

Explanation:

0 351
Q:

Sourish is now 25 years old while his cousin is 7 years. After how many years will Sourish's age be 2.5 times that of his cousin?

 A) Emperor Humayun B) Emperor Babur C) Emperor Akbar D) Emperor Jahans

Explanation:

1 146
Q:

Mohan's mother was four times as old as Mohan ten years ago. After 10 years, she will be twice as old as Mohan. How old is Mohan today?

 A) 20 years B) 15 years C) 22 years D) 32 years

Explanation:

1 235
Q:

Arjit's age is 3 years more than 1.5 times the age of Heera, whose age in turn is 10 years more than 2/3 the age of Deepika. If 5 times the age of Deepika is equal to 3 times the age of Arjit, what is the sum of the present ages of the trio?

 A) 99 years B) 95 years C) 100 years D) 97 years

Explanation:

0 246
Q:

Neetu is 10 years elder to Meetu, and Meetu is 7 years elder to Geetu. If the sum of their ages is 48 years, what is Neetu's age (in years)?

 A) 22 B) 28 C) 25 D) 27

Explanation:

2 287
Q:

Jina is 24 years younger than her mother. Eight years hence her mother's age will be 5/3 times her age. What is Jina's present age (in years)?

 A) 26 B) 24 C) 28 D) 22