Quants Questions : Ages Set 3

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1. Average age of a group of 40 students is 37 yrs. If a teacher is included then the average age rises by 1,then find the age of the teacher after 2 years ?
   A)77
   B)80
   C)78
   D)81
   
   Answer

   B)80
   Explanation :
   X = 37*40 = 1480
   X = 38*41 = 1558
   T age = 1558 – 1480 = 78
   Aftr 2 yrs = 78+2 = 80
   
   
   
2. At present  Priya is twice Sariga’s age. 8 yrs hence the respective ratio between Priya and Sariga’s age will be 22 :13, What is Sariga’s present age ?
   A)26
   B)36
   C)18
   D)20
   
   Answer

   C)18
   Explanation :
   P = 2S
   2s+8/s+8 = 22/13
   26s+104 = 22s+176
   4s = 72
   S= 18yr
   
   
   
3. The ratio between the present ages of X and Y is 4:9 respectively. 2yrs from now, Y’s age will become twice the age of X.What was the difference between their ages five yrs ago ?
   A)10
   B) 7
   C)12
   D)9
   
   Answer

   A)10
   Explanation :
   4x+2/7x+2 = ½
   8x+4 = 9x+2
   x = 2
   x:y = 8:18
   5 yrs ago = 3:13
   D = 13-3 = 10
   
   
   
4. The ratio of present age of Kaviya and Lakshmi is 6:7, the ratio of their ages after 8yrs would be 8:9, What is Kaviya’s present age?
   A)20
   B)24
   C)28
   D)30
   
   Answer

   B)24
   Explanation :
   6x+8/7x+8 = 8/9
   54x+72 = 56x+64
   2x = 8
   x = 4
   K=6*4 = 24yrs
   
   
   
5. The ratio between the present age of Maha and Deepa is 5:X. Maha is 9yrs younger than Parveen. Parveen’s age after 9yrs will be 33yrs. The difference between the Deepa and Maha age is same as the present age of Parveen.Find X
   A)13
   B)10
   C)11
   D)14
   
   Answer

   A)13
   Explanation :
   P present age = 33-9 = 24
   M = 24 – 9 =15
   D – M = 24
   D – 15 = 24
   D = 24+15 = 39
   15:39 = 5:13
   X = 13
   
   
   
6. The present age of Akil is 3 times that of Nirmal. 3 yrs hence the age of Akil will become 4yrs more than Nirmal. age The present age of Akil is
   A)1
   B)2
   C)4
   D)6
   
   Answer

   D)6
   Explanation :
   A = 3N
   A+3 = N+4+3
   3N+3 = N +7
   2N = 4
   N =4/2
   N = 2yrs
   A = 3*2 = 6yrs
   
   
   
7. The age of Vivek is 54yrs, If sham’s age is 36% more than that of Vivek, What % is Vivek’s age less than Sham ?
   A)26%
   B)20%
   C)35%
   D)30%
   
   Answer

   A)26%
   Explanation :
   S = 136*54/100 = 73
   % = 73-54/73 = 26%
   
   
   
8. Ashok is 3 years elder than Balu who is now 4 times as old as Jaswanth. Jaswanth is now 6 years old. What was Ashok’s age when Jaswanth was born?
   A)20
   B)27
   C)21
   D)25
   
   Answer

   C)21
   Explanation :
   Let Ashok age  A.
   Age of Balu = A-3
   Jaswanth’s age = 6
   Balu’s Age = 4* J’s age
   i.e., A – 3 = 4 x 6
   X = 24 + 3 = 27
   Hence, Ashok’s age = 27 – 6 = 21
   
   
   
9. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years.
   What is the age of the elder child among 5 childern?
   A)21
   B)15
   C)16
   D)18
   
   Answer

   C)16
   Explanation :
   X+x+3+x+6+x+9+x+12 = 50
   5x+30 =50
   X = 50-30/5 = 20/5 =4
   4+12 = 16
   
   
   
10. The sum of the present ages of Jai, Prem and Saran is 93 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Sara?
    A)31
    B)38
    C)21
    D)28
    
    Answer

    B)38
    Explanation :
    J+P+S = 93
    J-10:P-10:S-10 = 2:3:4
    93-30 = 63
    Saran age = 63*4/9 = 28+10 = 38
    
    
    

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