Question

Sum of ages of Ajay, Bharti and Dhruv is 10 years more than the sum of ages of Bharti, Dhruv and Tara. Chaten is 6 year older then Bharti and 2 years younger than Dhruv. What is the ratio of present age of Ajay and Chaten?

Which of the following option is sufficient alone to find the answer?

A) Age of Chaten after 13 years will be 35 years.

B) Sum of present age of Bharti, Chaten and Dhruv is 47 years.

C) Sum of present age of Ajay, Tara and Chaten is 48 years.

D) Sum of present age of Bharti and Dhruv is 24 years and Ajay and Chaten is 30 years.

E) Average of recent age of Ajay and Bharti is 2 more than the average of age of Bharti and Dhruv.

1. Only A and B
2. Only B and C
3. Only D
4. All A, B, C and D
5. None of A, B, C and D

Answer 1

Correct Answer - Option 3 : Only D

From option (1):

Ajay + Bharti + Dhruv = Bharti + Dhruv + Tara + 10

Ajay = Tara + 10

Bharti = Chaten – 6

Dhruv = Chaten + 2

From option (1) :

Chaten = 35 – 13 = 22 years

Present age of Tara is not given. So, present age of ajay cannot be determined and also ratio of present ages of Ajay and chetan cannot be determined.

Hence, this option is not sufficient alone.

From option (2):

Bharti + Chaten + Dhruv = 47

Chaten – 6 + Chaten + Chaten + 2 = 47

Chaten = 17 years

Present age of Ajay is not given. So, ratio of present ages of Ajay and Chaten cannot be determine.

Hence, this option is not sufficient alone

From option (3):

Ajay + Tara + Chaten = 48

Ajay + Ajay – 10 + Chaten = 48

2Ajay + Chaten = 58

Given data is not sufficient to find the answer.

Hence, this option is not sufficient alone.

From option (4):

Bharti + Dhruv = 24

Chaten – 6 + Chaten + 2 = 24

Chaten = 14 years

Ajay + Chaten = 30

Ajay = 30 – 14 = 16 years

Ratio, Ajay : Chaten = 16 : 14 = 8 : 7

From option (5) :

(Ajay + Bharti)/2 = 2 + (Bharti + Dhruv)/2

Ajay = 4 + Dhruv

Ajay = 4 + Chaten + 2

Ajay = Chaten + 6

Given data is not sufficient to find the answer.

Hence, this option is not sufficient alone.