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11.
If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day; in how many days will 16 pumps raise 1736 tonnes of water, working 9 hours a day?
  • A.
    6
  • C.
    8
  • B.
    7
  • D.
    9
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
Let the required number of days be x. Then,
 
Less pumps, More days (Indirect Proportion)
 
Less weight, Less days (Direct Proportion)
 
More hours / day, Less days (Indirect Proportion)
 
 
Pumps 16 : 18
Weight 2170 : 1736
Hours/day 9 : 7
   :: 10  : x      
 
 
  (16 x 2170 x 9 x x) = (18 x 1736 x 7 x 10)  
 
 
 
18 x 1736 x 7 x 10
16 x 2170 x 9
 = 7  
 
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12.
12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required, is:
  • A.
    4
  • C.
    6
  • B.
    5
  • D.
    8
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
 
Let the required number of men be x.
 
Less days, More men (Indirect Proportion)
 
More working hrs per day, Less men (Indirect Proportion)
 
Days 8 : 10
Working Hrs 15 : 8
   :: 12 : x    
 
 
  8 x 15 x x = 10 x 8 x 12  
 
 
  x =
10 x 8 x 12
8 x 15
   
 
 
  x = 8  
 
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13.
If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men rap in 30 days?
  • A.
    350
  • C.
    425
  • B.
    400
  • D.
    450
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
 
Let the required number of hectares be x. Then,
 
More Men, More hectares (Direct Proportion)
 
More days, More hectares (Direct Proportion)
 
Men 8 : 36
Days 24 : 30
   :: 80 : x    
 
 
  8 x 24 x x = 36 x 30 x 80  
 
 
  x =
(36 x 30 x 80 )
(8 x 24)
   
 
 
  x = 450  
 
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14.
49 pumps can empty a reservoir in 6
1
2
 days, Working 8 hours a day. If 196 pumps are used    
for 5 hours each day, then the same work will be completed in:
  • A.
    2 days
  • C.
    		 2 3  Days  
    5  
  • B.
    		 2 1  Days  
    2  
  • D.
    3 days
  • Answer & Explanation
  • Report
Answer : [C]
Explanation :
 
Let the required number of days be x. Then,
 
More pumps, Less days (Indirect Proportion)
 
Less working hrs / day, More days (Indirect Proportion)
 
Pumps 196 : 49
Working Hrs / Day 5 : 8
   ::
13
2
 : x    
 
 
  196 x 5 x x = 49 x 8 x
13
2
 
 
 
  x =   49 x 8 x
13
2
x
1
196 x 5
     
 
 
  x =
13
5
= 2
3
5
   
 
 
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15.
A man completes
5
8
  of a job in 10 days. At this rate, how many more days will it take him  
to finish the job?
  • A.
    5
  • C.
    7
  • B.
    6
  • D.
    		 7 1  
    2  
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
Work done =
5
8
. Balance work =   1 -
5
8
  =
3
8
   
 
Less work, Less days (Direct Proportion)
 
Let the required number of days be x.
 
Then,
5
8
:
3
8
:: 10 : x                    
 
 
 
5
8
 x x =
3
8
 x 10    
 
 
  x =  
3
8
x 10 x
8
5
   = 6        
 
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