TCS NQT Questions on Ages Quiz 1

At present

Age of Umesh = x

Age of Reena is Y age of Mahesh is m

after 6 years

X+6=4(y+6)

X+6=4y+24

But it is given that age of Umesh is equal to 7 times age of Reena

So

7y+6=4y+24

3y+6=24

3y=18

Y=6

Age of Umesh is equal to 7 times the age of Reena

X=7*6

=42



Video solution:

Total Age of 10 students and Teacher = 11 x 15 = 165

Total age of first 7 students = 7 x 15 = 105

Total age of 3 students = 3 x 11 = 33

Thus total age of students = 33 + 105 = 138

Age of Teacher = 165 - 138 = 27



Video solution:

Since its 13 years ago

Nina's 13 year ago age = Present age - 13 = 37 - 13 = 24

Aman 13 year ago age = Present age - 13 = 59 - 13 = 46

Ratio = 24/46 = 12:23



Video solution:

Explanation:

4 year back,

The average age of the family = 19 years

Sum or Total of all ages of all 4 family members = 19 x 4 =76 years

 

In the present day, that means after 4 years,

Sum or Total of present ages of these 4 family members = 76+(4x4) =92 years

 

Let the child’s present ages be K years.

Now the family is of 5 members(because a child has been added some years back)

 

Present average ages of family =

Sum of present ages of 4 members + Child’s present ages _________________________________________________

5

The average remains the same as it was 4 years back

 

-> 19 = (92 + K) / 5

-> K = 3 years = This is the present ages of the child



Video solution:

Explanation:

 

B’s age                Present age of B + K             36+ K        15
______  =        __________________________  = __________ =  ____ __

A’s age              Present age of A + K               42+ K        17

 

-> 17(36 + K) =15 (42 +K)

-> K =9



Video solution:

Explanation:

Present average age of the group = 36 years

Sum of present ages of all 4 friends in the group = 36 x 4 = 144 years

The youngest friend is 6 years old, which means the youngest was born 6 years ago .

So now 6 years ago

Sum of ages of all 4 friends = 144 - ( 6 x 4 ) = 144-24=120 years

Since the youngest one was just born his age is 0(zero)

So, we will not include the youngest one in the group

So now, total friends = 4-1 = 3 years

Avg age of group at time of birth of the youngest friend = (Sum of ages of friends) / (Number of friends)

Avg age of group at time of birth of the youngest friend = 120/3 = 40 years



Video solution:

ANSWER: 16 years

Explanation:
Let the present ages of Amit and Dhiraj be 5x years and 4x years respectively. Then,
5x + 6 = 26
5x = 20
x = 4
Dhiraj’s age = 4x = 16 years



Video solution:

Explanation:
Let the age of wife be ’w’ and that of husband be”w+3”
(w+20)+(3+w+20) = 2(w+w+3)
On solving w=18.5
Then age of husband =18.5+3 = 21.5



Video solution:

Let Neha's present age be 'x' years.
Her age 12 years ago = (x – 12) years
Therefore, her mother's age 12 years ago = 4(x – 12)
Her mother's present age = 4x – 48 + 12 = 4x – 36
Neha's age after 12 years = x + 12
Her mother's age after 12 years = 4x – 36 + 12 = 4x – 24
4x – 24 = 2(x + 12)
4x – 2x = 24 + 24
x = 24
Therefore, Neha's present age = 24
Her mother's present age = 4x – 36 = 4(24) – 36 = 60 years



Video solution: