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6.
The average weight of 5 boys sitting in a boat is 38 kg. If the average weight of the boat and the boys sitting in the boat is 52 kg. What is the weight of the boat?
  • A.
    228 kg
  • C.
    232 kg
  • B.
    122 kg
  • D.
    242 kg
  • Answer & Explanation
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Answer : [B]
Explanation :
Average weight of 5 boys = 38 kg
 
 
  Total weight of these five boys = 38 x 5 = 190 kg
 
Now, average weight of ( the boat + 5 boys) = 52 kg
Total weight of ( the boat + 5 boys) = 52 x 6 = 312 kg
 
 
  Weight of the boat = 312 – 190 = 122 kg
 
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7.
It rained as much on Thursday as on all the others days of the week combined. If the average rainfall for the whole week was 3 cm, how much did it rain on Thursday?
  • A.
    2.625 cm
  • C.
    10.5 cm
  • B.
    3 cm
  • D.
    15 cm
  • Answer & Explanation
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Answer : [C]
Explanation :
Let the rainfall on Thursday be x cm so that one the other 6 days, the total is also x.

Since average rainfall for the week = 3 cm

 
 
  x + x = 3 x 7 or, x = 10.5 cm.  
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8.
The average age of 8 men is increased by 2 years. When two of them, whose ages are 20 years and 24 years respectively, are replaced by two women, What is the average age of these women?
  • A.
    36 years
  • C.
    40 years
  • B.
    30 years
  • D.
    42 years
  • Answer & Explanation
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Answer : [B]
Explanation :
Let the average age of 8 men be x years
 
 
  Sum of the ages of 8 men = 84 years  
Now, according to the condition of the question, average age of (6 men + 2 women)
  = (x + 2)years
 
 
  Sum of the ages of (6 men + 2 women) = 8(x + 2) = 8x + 16 yrs  
Hence, it is clear that on replacing two men by two women, sum of their ages increased by 16 years
Therefore, sum of the ages of two women = (20 + 24) + 16 = 60 yrs.
 
 
  Average age of the women =
60
2
 = 30 yrs.  
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9.
There are 35 girls in a School. If the number of girls increased by 7, the expenses of the lunch were increased by Rs 42 per day while the average expenditure per head diminished by Re. 1. Find the Original expenditure of the lunch.
  • A.
    Rs. 480
  • C.
    Rs. 520
  • B.
    Rs. 440
  • D.
    Rs. 420
  • Answer & Explanation
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Answer : [D]
Explanation :
Let the original expenditure = Rs x
  Original average expenditure =
x
35
   
  New average expenditure =
x + 42
42
   
 
 
 
x
35
-
x + 42
42
 = 1    
    x = 420  
 
 
  Original expenditure = Rs 420.
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10.
The average weight of 24 soldiers of a company A of a battalion is 58 kg, whereas the average weight of 26 soldiers of a company B of the same battalion is 60.5 kg. Find the average weight of all the 50 soldiers of the battalion
[Note: A battalion consists of multiple companies, A company consists of multiple soldiers]
  • A.
    57.4 kg
  • C.
    58.9 kg
  • B.
    59.3 kg
  • D.
    59.7 kg
  • Answer & Explanation
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Answer : [B]
Explanation :
Average weight of 24 soldiers of company A = 58 kg
Total weight of 24 soldiers of company A = 58 x 24 = 1392 kg
Average weight of 26 soldiers of company B = 60.5 kg
Total weight of 26 soldiers of company B = 60.5 x 26 = 1573 kg
Total weight of 50 soldiers = (1392 + 1573) kg = 2965 kg
Average weight of soldiers in the battalion =
2965
50
 = 59.3 kg.  
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