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21.
If a quarter kg pf potato costs 60 paise, how many paise will 200 gm cost?
  • A.
    48 paise
  • C.
    56 paise
  • B.
    54 paise
  • D.
    72 paise
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let the required cost x paise, Less weight, Less cost (Direct Proportion)
 
 
  250 : 200 :: 60 : x  
 
 
  250 x x = (200 x 60)  
 
 
  x =
(200 x 60)
250
   
 
 
  x = 48  
 
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22.
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
  • A.
    12
  • C.
    22
  • E.
    None of these
  • B.
    18
  • D.
    24
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the required number of days be Rs. x.
 
Then, Less men, More days (Indirect Proportion)
 
 
  27 : 36 :: 18 : x  
 
 
  27 x x = 36 x 18  
 
 
  x =
36 x 18
27
   
 
 
  x = 24  
 
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23.
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
  • A.
    9
  • C.
    11
  • B.
    10
  • D.
    12
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the required number of working hours per day be x.
 
More pumps, Less working hours per day (Indirect Proportion)
 
Less days, more working hours per day (Indirect Proportion)
 
Pumps 4 : 3
Days 1 : 2
   :: 8 : x    
 
 
  4 x 1 x x = 3 x 2 x 8  
 
 
  x =
3 x 2 x 8
4
   
 
 
  x = 12  
 
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24.
A certain number of persons can dig a trench 100 m long, 50 m broad and 10 m deep in 10 days. The same number of persons can dig another trench 20 m broad and 15 m deep in 30 days. The length of the second trench is:
  • A.
    400 m
  • C.
    800 m
  • B.
    500 m
  • D.
    900 m
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the required length be x metres.
 
More breadth, Less length (Indirect Proportion)
 
More depth, Less length (Indirect Proportion)
 
More days, More length (Direct Proportion)
 
Breadth 20 : 50
Depth 15 : 10
Days 10 : 30
   :: 100 : x    
 
 
  20 x 15 x 10 x x = 50 x 10 x 30 x 100  
 
 
  x =
(50 x 10 x 30 x 100)
(20 x 15 x 10)
   
 
 
  x = 500  
 
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25.
If 9 examiners can examine a certain number of answer books in 12 days, working 5 hours a day; for how many hours a day would 4 examiners have to work in order to examine twice the number of answer books in 30 days?
  • A.
    6
  • C.
    9
  • B.
    8
  • D.
    10
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let the required number of working hours per day be x.
 
Less examiners, More working hours per day (Indirect Proportion)
 
More days, Less working hours per day (Indirect Proportion)
 
More answer books, More working hours per day (Direct Proportion)
 
 
 
Examiners 4 : 9
Days 30 : 12
Answer books 1 : 2
   :: 5  : x      
 
 
  (4 x 30 x 1 x x) = (9 x 12 x 2 x 5)  
 
 
  120x = 1080  
 
 
  x = 9  
 
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