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1.
The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P. What will be the ratio of the ages of P and Q after 4 years?
  • A.
    3 : 4
  • C.
    4 : 3
  • E.
    None of these
  • B.
    3 : 5
  • D.
    Data inadequate
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Answer : [E]
Explanation :
 
Let P's age and Q's age be 6x years and 7x years respectively
 
Then, 7x - 6x = 4  
 
 
x = 4    
 
  Required ratio = (6x + 4) : (7x + 4) = 28 : 32 = 7 : 8  
 
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2.
The Average age of a class of 22 students in 21 years. The average increases by 1 when the teacherís age also included. What is the age of the teacher?
  • A.
    44
  • C.
    41
  • B.
    43
  • D.
    40
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Answer : [A]
Explanation :
 
  Avg x Number = Total  
 
     21 years x 22 nos = 462 years ... (1)
 
   22 years x 23 nos = 506 years ... (2)
 
    Teacherís age = (2) - (1) = 506 Ė 462 = 44 Years.  
 
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3.
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arunís age will be 26 years. What is the age of Deepak at present?
  • A.
    12 years
  • C.
    19 1  years  
    2  
  • B.
    15 years
  • D.
    21 years
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,
 
 
4x + 6 = 26    
 
 
4x = 20    
 
 
 x = 5    
 
   Deepak's age = 3x = 15 years.  
 
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4.
A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is
  • A.
    44
  • C.
    22
  • B.
    32
  • D.
    45
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Answer : [A]
Explanation :
 
Let son's age = x. Then father's age = 2x
 
12 (x - 20) = (2x - 20)  
 
 
10x = 220  
 
 
x = 22  
 
   Father's present age = 44 years.
 
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5.
Ten years ago, Kumar was thrice as old as Selva was but 10 years hence, he will be only twice as old. Find Kumarís present age.
  • A.
    60 years
  • C.
    70 years
  • B.
    80 years
  • D.
    76 years
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let Kumarís present age be x years and Selvaís present age be y years.
 
Then, according to the first condition,
 
x - 10 = 3(y - 10) or, x - 3y = -20 ..(1)  
 
Now. Kumar's age after 10 years = (x + 10) years
 
Selva's age after 10 years = (y + 10)
 
   (x+10) = 2 (y+10) or, x - 2y = 10 ..(2)  
 
Solving (1) and (2), we get x = 70 and y = 30
 
  Kumar's age = 70 years and Selva's age = 30 years.
 
 
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