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Problems Based on Ages

More Topic from Reasoning

Question 1
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5 year hence, ratio of ages of A and B will be 7 : 5 and difference between their ages will be 4 years. What are present ages (in years) of A and B respectively?

  • 5 years, 9 years

  • 6 years, 5 years

  • 9 years, 5 years

  • 9 years, 6 years

Solution

C.

9 years, 5 years

Let A's present age = (7x - 5) years
      B's present age = (5x - 5) years
According to the question,
       7x - 5 - {5x - 5} = 4
⟹    7x - 5 - 5x + 5 = 4
⟹                2x = 4,  ⟹  x = 2
∴     A's present age = 7 x (2) - 5 = 9 yrs
      B's present age = 5 x (2) - 5 = 5 yrs
 

 

Question 2
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A mother is five times older than her daughter. After 5 years, she would be 3 times older than her daughter. Find the mother's present age.

  • 20 years

  • 22 years

  • 25 years

  • 29 years

Solution

C.

25 years

Let the age of daughter = x years

Age of mother = 5x years

According to the question,
(x+ 5) x 3 = 5 x + 5
3x + 15 = 5x + 5
2x = 10
x = 5 years
therefore age of mother = 5 x 5 = 25

Question 3
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At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?

  • 12 Years

  • 15 Years

  • 19.5 Years

  • 25 Years

Solution

B.

15 Years

Let the present age of Arun = 4x

The present age of Deepak = 3x

According to questions,

4x + 6 = 26
4x = 20
x = 5 years

Therefore, present age of deepak = 3 x 5 = 15 years.

Question 4
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From the given alternative words, select the word which cannot be formed using the letters of the given word:

ADMINISTRATION

  • STRAIN

  • TRADITION

  • SITUATION

  • RATION

Solution

C.

SITUATION

From the given word ' ADMINISTRATION' the word 'SITUATION' cannot be formed because in the given word letter 'U' is not present.

Question 5
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Nine years later, age of B will be equal to the present age of A. Sum of A's age 3 years later and B's age 4 years ago is 76. If C is half of the present age of B, then what will be C's age (in years) after 10 years?

  • 32 years

  • 36 years

  • 27 years

  • 31 years

Solution

C.

27 years

Let B's present age  = x years
∴   C's present age = (x/2) years
    A's Present age = (x + 9) years
According to the question,
          (x + 9 + 3) + (x - 4) = 76
           2x + 8 = 76
              2x = 68,  ⟹  x = 34
∴   C's age after 10 years = (x/2 + 10) = (34/2 + 10) = 17 + 10 = 27 years.

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