Quantitative Aptitude: Problems on Ages Set 15

  1. Four years ago, the ratio of the ages of Akansha and Banya was 5 : 9. 8 years hence the ratio will be 2 : 3 respectively. Find the present age of Banya?
    40 years
    45 years
    48 years
    52 years
    None of these
    Option A
    Let 4 years ago Akansha’s age = 5x, Banya’s age = 9x
    Then 4+8 = 12 years after – (5x+12)/(9x+12) = 2/3
    Solve, x = 4
    Banya’s present age = 9x+4 = 40

     

  2. Eight years ago, Akansha was 4 times as old as Banya. After 8 years Akansha will be twice as old as Banya. What are their ages respectively?
    42 and 18
    40 and 16
    45 and 20
    50 and 25
    None of these
    Option B

     

  3. Present age of Banya is twice that of Akansha. 4 years hence Banya’s age will be 4 less than twice the age of Akansha. Find the difference in their ages?
    8
    6
    5
    4
    Cannot be determined
    Option E
    Let Akansha’s present age = x,
    Then Banya’s present age = 2x
    After 4 years, (2x+4) = 2(x+4) – 4
    0 = 0

     

  4. Brijesh is twice older than Caryl and Akash is 2 years older than Brijesh. If the total of all of their ages is 27, what will be total of the ages of Akash and Caryl 6 years hence?
    25 years
    29 years
    28 years
    27 years
    None of these
    Option B
    Let Caryl’s present age = x,
    then Brijesh’s = 2x, and Akash’s = 2x+2
    Given: x+2x+(2x+2) = 27
    Solve it, x = 5
    Akash’s present age = 2x+2 = 12
    Caryl’s present age = x = 5
    6 years after Akash+Caryl)’s age = 12+5+6+6 = 29

     

  5. The ratio of the present ages of Akansha to Banya is 5 : 3. The ratio of Akansha’s age 4 years ago to Banya’s age 4 years hence is 1 : 1. What is the ratio of Akansha’s age 4 years hence to Banya’s age 4 years ago?
    3:1
    1:5
    2:3
    4:5
    None of these
    Option A
    Let Akansha’s present age = 5x, and Banya’s = 3x
    Ratio of Akansha’s age 4 years ago to Banya’s age 4 years hence is 1 : 1. So
    (5x-4)/(3x+4) = 1/1
    Solve x = 4
    So Akansha’s present age = 20, and Banya’s = 12
    Required ratio = (20+4) : (12-4)

     

  6. Age of Akansha is three times the sum of ages of Brijesh and Caryl. 5 years hence, Akansha’s age will be twice the sum of ages of Brijesh and Caryl. The total of their present ages is which of the following?
    60 years
    55 years
    58 years
    62 years
    None of these
    Option A
    Let (Brijesh+Caryl)’s present age= x
    Then Akansha’s present age = 3x
    After 5 years, (3x+5) = 2*(x+5+5)
    Solve, x = 15
    Sum = x+3x = 4x = 60 years

     

  7. The sum of the age of mother and his daughter is 62 years. After 5 years, the age of mother will be five times that of the son. What is the age of the son ?
    7 years
    6 years
    8 years
    Cannot be determined
    None of these
    Option A
    Son = 62-5(5-1)/5+1 = 62-20/6 = 42/6 = 7 years

     

  8. The sum of ages of Kashish and Sunita at present is 28 years more than the present age of Yash.The present age of Sunita is 6 years more than the age of Yash.What is the present age of Kashish ?
    22 years
    20 years
    25 years
    32 years
    None of these
    Option A
    Sunita = Yash+6
    Kashish+Sunita = Yash+28
    Kashish+Yash+6 = Yash+28
    Kashish = Yash+28-Yash-6
    Kashish = 22 years

     

  9. Average age of a group of 32 candidates is 26 years. If a professor is included then the average age rises by 1 year,then the present age of professor is which of the following?
    57 years
    59 years
    58 years
    60 years
    62 years
    Option B

     

  10. Sunita was thrice as old as Sarvesh 5 years back. Sunita will be 7/3 times as old as Sarvesh 5 years hence. How old is Sarvesh today?
    26 years
    24 years
    28 years
    30 years
    None of these
    Option A
    (7/3) * (X +10) = (3X + 10)
    7(x+ 10) = 3(3x+ 10)
    7x+70 = 9x+30
    2x=40
    X = 20
    Sarvesh Age = 20+6 = 26 years

     


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