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26.
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is:
  • A.
    4
  • C.
    12
  • B.
    9
  • D.
    49
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Answer : [B]
Explanation :
 
Let the required number of revolutions made by larger wheel be x.
 

Then, More cogs, Less revolutions (Indirect Proportion)

 
 
  14 : 6 :: 21 : x  
 
 
  14 x x = 6 x 21  
 
 
  x =  
6 x 21
14
   
 
 
  x = 9  
 
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27.
The cost of 16 packets of salt, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
  • A.
    Rs. 52.50
  • C.
    Rs. 58.50
  • B.
    Rs. 56
  • D.
    Rs. 64.75
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let the required cost be Rs. x. Then,
 
More packets, More cost (Direct Proportion)
 
More weight, More cost (Direct Proportion)
 
Packets   16 : 27
Weight 900 : 1000
   :: 28 : x    
 
 
  (16 x 900 x x) = (27 x 1000 x 28)  
 
x =
(27 x 1000 x 28)
16 x 900
=
105
2
 = 52.50    
 
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28.
10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days?
  • A.
    6
  • C.
    12
  • B.
    10
  • D.
    15
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let the required number of hours per day be x.
 
More men, Less hours per day (Indirect Proportion)
 
Less days, more hours per day (Indirect Proportion)
 
Men 15 : 10
Days 12 : 18
   :: 6 : x    
 
 
  15 x 12 x x = 10 x 18 x 6  
 
 
  x =
10 x 18 x 6
15 x 12
   
 
 
  x = 6  
 
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29.
On a scale of map, 0.6 cm represents 6.6 km. If the distance between the points on the map is 80.5 cm, the actual distance between these points is:
  • A.
    9 km
  • C.
    190.75 km
  • B.
    72.5 km
  • D.
    885.5 km
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the actual distnace be x km. Then,
 
More distance on the map, More is the actual distance (Direct Proportion)
 
 
  0.6 : 80.5 :: 6.6 : x  
 
 
  0.6x = 80.5 x 66  
 
 
  x =
80.5 x 6.6
0.6
   
 
 
  x = 885.5  
 
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30.
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
  • A.
    4
  • C.
    12
  • B.
    8
  • D.
    16
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the required number of mats be x.
 
More weavers, More mats (Direct Proportion)
 
More weavers, More mats (Direct Proportion)
 
Weavers 4 : 8
Days 4 : 8
   :: 4 : x    
 
 
  4 x 4 x x = 8 x 8 x 4  
 
x =
(8 x 8 x 4)
(4 x 4)
   
 
 
  x = 16  
 
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