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16.
If 12 carpenters, working 6 hours a day, can make 460 chairs in 24 days, how many chairs will 18 carpenters make in 36 days, each working 8 hours a day?
  • A.
    1260
  • C.
    920
  • B.
    1320
  • D.
    1380
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Answer : [D]
Explanation :
 
Let the required number of chairs be x. Then,
 
More Carpenters, More Chairs (Direct Proportion)
 
More hours per day, More chairs (Direct Proportion)
 

More days, More chairs (Direct Proportion)

 
 
 
Carpenters
12 : 18
Hours per day
6 : 8
Days 24 : 36
   :: 460  : x      
 
 
  (12 x 6 x 24 x x) = (18 x 8 x 36 x 460)  
 
 
 
(18 x 8 x 36 x 460)
(12 x 6 x 24)
 = 1380  
 
 
  Required number of chairs = 1380.  
 
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17.
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
  • A.
    1
  • C.
    40
  • B.
    1 2  
    3  
  • D.
    80
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let the required number of days be Rs. x.
 
Less cows, More days (Indirect Proportion)
 
Less cows, More days (Direct Proportion)
 
Cows 1 : 40
Bags 40 : 1
   :: 40 : x    
 
 
  1 x 40 x x = 40 x 1 x 40  
 
 
  x = 40  
 
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18.
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
  • A.
    1
  • C.
    7
  • B.
    7  
    2  
  • D.
    49
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let the required number of days be x. Then,
 
Less spiders, More days (Indirect Proportion)
 
Less webs, Less days (Direct Proportion)
 
 
 
Spiders 1 : 7
Webs 7 : 1
   :: 7  : x      
 
 
  1 x 7 x x = 7 x 1 x 7  
 
 
  x = 7  
 
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19.
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal?
  • A.
    20
  • C.
    40
  • B.
    30
  • D.
    50
  • Answer & Explanation
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Answer : [B]
Explanation :
 
There is a meal for 200 children. 150 children have taken the meal.
 
Remaining meal to be catered to 50 children.
 

Now, 200 children = 120 men

 
50 children =  
120
200
 x 50    men = 30 men.
 
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20.
A flagstraff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:
  • A.
    10 m
  • C.
    17.5 m
  • B.
    12.5 m
  • D.
    21.25 m
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the height of the building be x metres.
 
Less lengthy shadow, Less is the height (Direct Proportion)
 
 
  40.25 : 28.75 :: 17.5 : x  
 
 
  40.25 x x = 28.75 x 17.5  
 
 
  x =
(28.75 x 17.5)
40.25
   
 
 
  x = 12.5  
 
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