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6.
If the price of 6 toys is Rs. 264.37, what will be the approximate price of 5 toys?
  • A.
    Rs. 140
  • C.
    Rs. 200
  • E.
    Rs. 240
  • B.
    Rs. 100
  • D.
    Rs. 220
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the required price be Rs. x. Then, Less toys, Less cost (Direct Proportion)
 
 
  6 : 5 :: 264.37 : x  
 
 
  6x = (5 x 264.37)  
 
 
  x =
(5 x 264.37)
6
   
 
 
  x = 220.308  
 
 
  Approximate price of 5 toys = Rs. 220.  
 
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7.
If 11.25 m of a uniform iron rod weighs 42.75 kg. what will be the weight of 6 m of the same rod?
  • A.
    22.8 kg
  • C.
    28 kg
  • B.
    25.6 kg
  • D.
    26.5 kg
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let the required weight be x kg. Then, Less lenght, Less weight (Direct Proportion)
 
 
  11.25 : 6 :: 42.75 : x  
 
 
  11.25 x x = 6 x 42.75  
 
 
  x =
(6 x 42.75)
11.25
   
 
 
  x = 22.8  
 
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8.
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
  • A.
    10
  • C.
    14
  • B.
    13
  • D.
    15
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the required number of days be x.
 
Less persons,More days (Indirect Proportion)
 
More working hrs per day, Less days (Indirect Proportion)
 
Persons 30 : 39
Working hrs / day 6 : 5
   :: 12 : x    
 
 
  30 x 6 x x = 39 x 5 x 12  
 
 
  x =
39 x 5 x 12
30 x 6
   
 
 
  x = 13  
 
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9.
If 17 labourers can dig a ditch 20 m long in 18 days, working 8 hours a day; how many more labourers should be engaged to dig a similar ditch 39 m long in 6 days, ech labourer working 9 hours a day?
  • A.
    34
  • C.
    68
  • B.
    51
  • D.
    85
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the total number of men to be engaged be x.
 
More length, More labourers (Direct Proportion)
 
Less days, More labourers (Indirect Proportion)
 
More hours per day, Less labourers (Indirect Proportion)
 
 
 
Length
26 : 39
Days 6 : 18
Hours per day 9 : 8
   :: 17  : x      
 
 
  (26 x 6 x 9 x x) = (39 x 18 x 8 x 17)  
 
 
  x =
(39 x 18 x 8 x 17)
(26 x 6 x 9)
 = 68
 
 
  Number of more labourers = (68 - 17) = 51  
 
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10.
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is :
  • A.
    29 1  
    5  
  • C.
    42
  • B.
    37 1  
    4  
  • D.
    54
  • Answer & Explanation
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Answer : [C]
Explanation :
 
After 10 days : 150 men had food for 35 days.
 
Suppose 125 men had food for x days.  Now, less men, More days (Indirect Proportion)
 
 
  125 : 150 :: 35 : x  
 
 
  125 x x = 150 x 35  
 
 
  x =
150 x 35
125
   
 
 
  x = 42  
 
Hence, the remaining food will last for 42 days.
 
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