Age All Reasoning Aptitude

Let's denote Amit's age on 1 January 2015 as 'A' and Suvarna's age on 1 January 2015 as 'S'.

We are given that the total of their ages on 1 January 2015 is 61 years, which can be expressed as:

A + S = 61

We are also given that Amit is three years younger than Suvarna, which can be expressed as:

A = S - 3

Substituting this into the first equation, we get:

(S - 3) + S = 61

Combining like terms:

2S - 3 = 61

Adding 3 to both sides:

2S = 64

Dividing both sides by 2:

S = 32

So, Suvarna's age on 1 January 2015 was 32 years. To find her age on 1 January 2010, we subtract 5 years:

32 - 5 = 27

Therefore, Suvarna's age on 1 January 2010 was C. 27 years.

Let the present age of Mitali and Shabnam be 4x and 7x.

Mitali’s age after 5 years will be 4x + 5,

The difference between present age of Shabnam and Mitali’s age after 5 years = 7x - (4x + 5) = 13

7x - 4x - 5 = 13

3x = 13 + 5

3x = 18

x = 6

Hence present ages of Mitali and Shabnam will be 24 and 42.

Sum of the present age of Mitali and Shabnam = 24 + 42 = 66

Hence, C. 66 is the correct answer.

Let Vinayak's current age be 'v' and his father's current age be 'f'.

We are given that v + f = 50 (Equation 1) and that 5 years from now, Vinayak's age will be one-fifth of his father's age. This can be expressed as:

v + 5 = (1/5)(f + 5)

Multiplying both sides by 5:

5v + 25 = f + 5

Solving for f:

f = 5v + 20 (Equation 2)

Substituting Equation 2 into Equation 1, we get:

v + (5v + 20) = 50

Combining like terms:

6v + 20 = 50

Subtracting 20 from both sides:

6v = 30

Dividing both sides by 6:

v = 5

Therefore, Vinayak's current age is B. 5 years.

Let Savan's current age be 's' and Aksham's current age be 'a'.

We are given that s = 4a (Equation 1) and that 10 years from now, Savan's age will be twice the age of Aksham. This can be expressed as:

s + 10 = 2(a + 10)

Expanding the right side:

s + 10 = 2a + 20

Solving for s:

s = 2a + 10 (Equation 2)

Substituting Equation 2 into Equation 1, we get:

4a = 2a + 10

Solving for a:

2a = 10

a = 5

Substituting a = 5 into Equation 1, we get:

s = 4 × 5 = 20

Therefore, Savan's current age is B. 20 years.

Let the father's current age be 'f' and the son's current age be 's'.

We are given that twenty years ago, the father was twelve times as old as his son. This can be expressed as:

f - 20 = 12(s - 20)

Expanding the right side:

f - 20 = 12s - 240

Solving for f:

f = 12s - 220 (Equation 1)

We are also given that now the father is twice as old as his son. This can be expressed as:

f = 2s (Equation 2)

Substituting Equation 2 into Equation 1, we get:

2s = 12s - 220

Solving for s:

10s = 220

s = 22

Substituting s = 22 into Equation 2, we get:

f = 2 × 22 = 44

Therefore, the present ages of the son and the father are A. 22 and 44.

Let Natasha's current age be 'n' and Krishna's current age be 'k'.

We are given that n + k = 50 (Equation 1) and that 10 years ago, Krishna was twice as old as Natasha. This can be expressed as:

k - 10 = 2(n - 10)

Expanding the right side:

k - 10 = 2n - 20

Solving for k:

k = 2n - 10 (Equation 2)

Substituting Equation 2 into Equation 1, we get:

n + (2n - 10) = 50

Combining like terms:

3n - 10 = 50

Adding 10 to both sides:

3n = 60

Dividing both sides by 3:

n = 20

Substituting n = 20 into Equation 2, we get:

k = 2 × 20 - 10 = 40 - 10 = 30

Therefore, Krishna's current age is C. 30 years.