Quantitative Aptitude: Problems on Ages Set 8

Problem on Ages for SBI PO, IBPS PO/Clerk, IBPS RRB, OICL, NIACL, NICL, LIC, Bank of Baroda and other competitive exams.

  1. A person’s present age is two-ninth of the age of his mother. After 10 years, he will be four-eleventh of the age of his mother. How old is the mother after 15 years?
    A) 48yrs
    B) 60yrs
    C) 55yrs
    D) 53yrs
    E) None
    View Answer
    Option B
    Solution:

    Present ratio P:M ==>2:9
    After 10years P:M=4:11
    Then
    (2x+10)/(9x+10) = 4/11
    22x+110=36x+40
    X=5.
    Then Mother’s present age=9*5=45yrs.
    After 15 yrs Mother’s age is=60yrs.
  2. Ratio of the ages of A and B is 5 : x. A is 18 years younger to C. After nine years C will be 47 years old. If the difference between the ages of A and B is same as the age of C, what is the value of x?
    A) 13
    B) 12
    C) 14.5
    D) 13.25
    E) None
    View Answer
    Option C
    Solution:

    Given
    A:B=5:x –1
    A = C – 18 —2
    C + 9 = 47 =>C=47-9=38yrs.
    A – B = C —3
    From 2 A=38-18=20yrs.
    From 1 20/B=5/x==> B=4x
    From 3 4x-20=38
    X=14.5.
  3. 16 years ago, my Uncle was 8 times older than me. After 8 years from today, my uncle will be thrice as old as I will be at that time. Eight years ago, what was the ratio of my age and my uncle’s age?
    A) 11:53
    B) 13:45
    C) 8:29
    D) 5:32
    E) None
    View Answer
    Option A
    Solution:

    Let 16 yrs ago the age of mine was=x
    (x+24)/(8x+24)=1/3
    X=48/5=9.6
    My present age is 9.6+16=25.6
    Present age of my Uncle =8*9.6+16=92.8
    Required ratio =(25.6-8)/(92.8-8) =17.6/84.8=11:53.
  4. The sum of present ages of A and B is 11 times the difference of their ages. 5 years hence, their total ages will be 13 times the difference of their ages. What is the present age of elder one?
    A) 35yrs
    B) 20yrs
    C) 25yrs
    D) 30yrs
    E) None
    View Answer
    Option D
    Solution:

    A+B=11(A-B)
    A:B=6:5
    According to 2nd condition
    6x+5x+10=13(6x-5x)=5
    A’s age =6*5=30.
  5. The average age of a husband-wife and their son was 42 years. The son got married and exactly after 1 year a child was born to them. When the child became 5 years old, the average age of the family became 36 years. What was the age of bride at the time of marriage?
    A) 30yrs
    B) 27yrs
    C) 25yrs
    D) 22yrs
    E) None
    View Answer
    Option C
    Solution:

    F+M+S=42*3=126
    The age of family after 6 years =36*5=180
    The age of bride after 6 years=180-(126+18+5)
    =180-149==>31yrs
    Age of bride at the time of marriage=31-6=25yrs.
  6. A says, “If you reverse my own age, the figures represent my Brother’s age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum.” Then A’s brother’s age is ?
    A) 45
    B) 54
    C) 25
    D) 52
    E) None
    View Answer
    Option B
    Solution:

    From option 54-45=1/11(45+54)
    9=9
    Condition satisfied.
  7. L is as much younger than M as he is older than N. If the sum of the ages of M and N is 60 years, what is definitely the difference between M and L’s age?
    A) 3yrs
    B) 2yrs
    C) 5yrs
    D) Can’t be determined
    E) None
    View Answer
    Option D
    Solution:

    M – L = L – N
    (M + N) = 2L
    Given (M + N) = 60
    then 2L=60==>L=30
    But can’t able to find M value
    Therefore, cannot be determined.
  8. If three times of the son’s age in years is included to the mother’s age, the total is 75 and if two times of the mother’s age is included to the son’s age, the total is 80. So the son’s age is?
    A) 15yrs
    B) 18yrs
    C) 14yrs
    D) 22yrs
    E) None
    View Answer
    Option C
    Solution:

    Let daughter’s age = A and mother’s age = B
    Given: 3A+B = 75 and A+2B = 80
    Solving A, we will get A = 14.
  9. The ages of P, Q and R together are 57 years. Sis thrice as old as P and R is 12 years older than P. Then, the difference between ages Q and R is?
    A) 11yrs
    B) 6yrs
    C) 8yrs
    D) 4yrs
    E) None
    View Answer
    Option B
    Solution:
    Let P’s age = X
    R 12 yrs older than P so R’s age = x+12
    Q is thrice as old as P so Q’s age = 3x
    x + (x+12) + 3x = 57
    => 5x = 45
    x = 9
    P’s age = 9
    Q’s age = 3x = 27
    R’s age = x+12 = 21
    Q-R=27-21=6yrs.
  10. If 10 years are subtracted from the present age of Sharmi and the remainder is divided by 6, then the present age of his grandson Epsi is obtained. If Epsi is 2 years younger to Nove whose age is 7 years, then what is Sharmi’s present age?
    A) 40yrs
    B) 35yrs
    C) 52yrs
    D) 55yrs
    E) None
    View Answer
    Option A
    Solution:

    Epsi age =7-2=5yrs
    Let Sharmi age be x years.
    Then (x-10)/6=5
    X=40.

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127 Thoughts to “Quantitative Aptitude: Problems on Ages Set 8”

  1. Dhmn Hinty

    in qus no. 3rd
    me : uncle me : uncle

    1 : 8 ==> 2 : 16
    1 : 3 ==> 7 : 21
    differce 5= 24 (16 yr ago+ 8 yr after)
    5= 4.5
    plz correct me

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  119. Major thanks for the post.Much thanks again. Much obliged.

  120. A big thank you for your article.Much thanks again. Cool.

  121. Really appreciate you sharing this article.Thanks Again. Really Cool.

  122. Looking forward to reading more. Great blog.Really thank you! Fantastic.

  123. An intriguing discussion is worth comment. There’s no doubt that that you ought to write more on this subject matter, it might not be a taboo subject but usually people do not speak about these topics. To the next! Many thanks!

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