Quantitative Aptitude: Problems on Ages Set 14

  1. The ratio of the age of brother to that of his sister at present is 9:6 and the ratio of the sister to that of his niece will be 1:2.What is the ratio of the present age of the brother to that of niece ?
    3:4
    1:2
    3:6
    2:5
    None of these
    Option A
    =9:6 :: 1:2
    =9:6::6:12
    =9:6:12=3:2:4

     

  2. Jaya’s present age is one fourth of his mother’s age two years ago. Jaya’s mother’s age will be twice Riya’s age after 10 years. If Riya’s 12th birthday was celebrated 2 years ago, then what is Jaya’s present age ?
    6 years
    9 years
    7 years
    8 years
    None of these
    Option B
    Riya =12+2 =14
    Jaya’s mother = x+10 =2(10+14)
    x =48-10 = 38
    Jaya age = 36/4 =9 years

     

  3. The sum of the age of mother and his son is 62 years. After 5 years, the age of mother will be five times that of the daughter. What is the age of the daughter ?
    9 years
    4 years
    5 years
    7 years
    None of these
    Option D
    Daughter age = 62-5(5-1)/5+1 = 62-20/6 = 7 years

     

  4. The present age of Shreya is twice that of his sister. Five years hence the ratio of their ages will be 21:13. What is the present age of her sister ?
    8 years
    7 years
    6 years
    5 years
    None of these
    Option A
    2y+5/y+5 = 21/13
    26y+65 = 21y+105
    5y=40
    y = 8 years

     

  5. 18 years ago the ratio of X’s age to Y’s age was 8:13.Present age of their ages ratio is 5:7.What is the present age of Y ?
    65 years
    70 years
    85 years
    75 years
    None of these
    Option B
    8y+18/13y+18 =5/7
    56y+126 = 65x+90
    9y = 36
    y =4
    Y = 13*4 + 18 = 70 years

     

  6. Average age of a group of 32 persons is 26 years. If a new person is included then the average age rises by 1 year,then the present age of new person will be which of the following?
    59 years
    52 years
    55 years
    Cannot be determined
    None of these
    Option A

     

  7. The ages of A and B are in the ratio of 8 : 5 respectively. After 5 years the ratio of their ages will be 7:5. What is the difference in years between their ages?
    5 years
    4 years
    2 years
    6 years
    None of these
    Option D

     

  8. A is younger than D by 9 years. If the ratio of their ages is 7:9, find the age of D?
    37 years
    41 years
    39 years
    45 years
    None of these
    Option B
    y/y+9 = 7/9
    9y = 7y+63
    2y= 63
    y = 63/2 = 31.5 =32
    D age = 32+9 = 41 years

     

  9. 8 years ago, Brijesh’s age was four greater than Rashi’s age that time. Also the ratio of Rashi’s age to Brijesh’s 8 years after will be 6 : 7. Find the ratio of Rashi’s age to that of Brijesh’s age 4 years after?
    1:2
    3:4
    5:6
    4:5
    None of these
    Option C
    Rashi = p, Brijesh = q
    8 years ago, (p-8) + 4 = (q-8) . This gives p – q = -4
    After 8 years, (p+8)/ (q+8) = 6/7. This gives 7p – 6q = -8
    Solve both equations, p = 16, q = 20
    So required ratio = (16+4) : (20+4) = 20 : 24 = 5 : 6

     

  10. Rashi’s age is 10 years more than Riya’s age. Also Rashi was twice old as Riya 15 years ago. What will be the age of Rashi 6 years after?
    41 years
    40 years
    38 years
    35 years
    None of these
    Option A
    Riya = x, Rashi = x+10
    (x+10) – 15 = 2(x-15)

     


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