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6.
Mother's age today is thrice as her daughter's. After 10 years it would be just double. How much old is the daughter today?
  • A.
    10
  • C.
    9
  • B.
    8
  • D.
    11
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Answer : [A]
Explanation :
 
  Let the age of the daughter today be ‘x’ years.  
 
    Mother's age today = 3x years    
 
    After 10 years, we have    
 
    3x + 10 = 2(x + 10) ===> x = 10 years.  
 
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7.
The average age of class of 50 students is 24 years. If the average of 10 of them is 22 years, while average of another 10 is 26 years. What is the average of the remaining 30 students?
  • A.
    22
  • C.
    24
  • B.
    32
  • D.
    42
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Answer : [C]
Explanation :
 
    Difference Total  
   50 Students 10 (22 Years) - 2 =>
10 (26 Years) + 2 =>
30(?)
-20
+20
 
 
Observe that 10 students have an average of 22 years (2 years below 24). While another 10 students have an average of 26 years (2 years above 24). Thus, the effect by (-2) is nullified by the effect of (+2). As such, the average of remaining 30 students would remain same as 24 years.
 
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8.
The ages of Nirmal and Reena are in the ratio of 5:7. Sixteen years ago their ages were in the ratio of 3:5. The present age of Nirmal is
  • A.
    35 years
  • C.
    40 years
  • B.
    45 years
  • D.
    30 years
  • Answer & Explanation
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Answer : [C]
Explanation :
Let the present age of Nirmal and Reena be x and y years.
Given,
x
y
=
5
7
 
 
  y =
7x
5
  ----------- (1)
16 years ago,
x - 16
y - 16
=
3
5
 
 
5x - 80 = 3y - 48
5x - 3y = 32 ----------- (2)
Using (1) and (2) we get
5x - 3  
7x
5
   = 32
25x - 21x = 160
4x = 160
x = 40
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9.
Sangeetha is seven years older than Divya. Fifteen years ago, Divya’s age was three quarters of Sangeetha’s age. Find the age of Sangeetha now.
  • A.
    41 years
  • C.
    43 years
  • B.
    36 years
  • D.
    42 years
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Answer : [D]
Explanation :
Let Divya’s age = x years and Sangeetha’s age = x + 7
Fifteen years ago, x – 15 =
3
4
 (x + 7 - 15)
4x – 60 = 3x – 24
x = 36
Sangeetha’s age = x + 7 = 36 + 7 = 43 years
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10.
The ratio of the ages of mother to that of daughter is 7:3 today. After 5 years, this ratio would be 2:1. How many years old should the mother be at the time of birth of her daughter?
  • A.
    18
  • C.
    22
  • B.
    21
  • D.
    20
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the ages of mother and daughter today be “7x” and “3x” years respectively.
Thus, 5 years, hence, we get,
 
 
 
7x + 5 = 2
3x + 5 1
 
 x = 5  
 
Thus, the age of mother today is 35 years and that of daughter’s today is 15 years, Hence, at the time of birth of her daughter, mother should have been (35 - 15) = 20 years old.  
 
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