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1.
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
  • A.
    648
  • C.
    2700
  • B.
    1800
  • D.
    10800
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the required number of bottles be Rs. x.
 
More machines, More bottles (Direct Proportion)
 
More minutes, More bottles (Direct Proportion)
 
Machines 6 : 10
Time (in Minutes) 1 : 4
   :: 270 : x    
 
 
  6 x 1 x x = 10 x 4 x 270  
 
x =
10 x 4 x 270
6
   
 
 
  x = 1800  
 
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2.
If 5 men or 9 women can do a piece of work in 19 days, then in how many days will 3 men and 6 women do the same work?
  • A.
    12
  • C.
    18
  • B.
    15
  • D.
    21
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
Let the required number of days be x.
 
5 men = 9 women
 
3 men =  
9
5
x 3   Women = 
27
5
 Women.  
 
 
  (3 men and 6 women) =  
27
5
+ 6   Women = 
57
5
 Women.  
 
Now, More women, Less days (Indirect Proportion)
 
 
 
57
5
 : 9 :: 19 : x
 
57
5
 x x = 9 x 19
 
x =   9 x 19 x
5
57
   = 15
 
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3.
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
  • A.
    178
  • C.
    204
  • B.
    195
  • D.
    488
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
Let the required time be x seconds. Then, More metres, more time ( Direct Proportion)
 
 
  0.128 : 25 :: 1 : x  
 
 
  0.128 x x = 25 x 1  
 
 
  x =
25
0.128
 
25 x 1000
128
   
 
 
  x = 195.31  
 
 
  Required time = 195 sec (approximately)  
 
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4.
400 persons, working 9 hours per day complete
1
4
 th of the work in 10 days. The number    
of additional persons. Working 8 hours per day, required to complete the remaining work in 20 days, is
  • A.
    675
  • C.
    250
  • B.
    275
  • D.
    225
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the number of persons completing the work in 20 days be x.
 
Work done =
1
4
, Remaining work =   1 -
1
4
  =
3
4
   
 
Less hours per day, More men required (Indirect Proportion)
 
More work, More men required (Direction Proportion)
 
More days, Less men required (Indirect Proportion)
 
Hours per day  8 : 9
Work
1
4
:
3
4
 
Days 20 : 10
   :: 400 : x    
 
 
  8 x
1
4
 x 20 x x = 9 x
3
4
 x 10 x 400
 
 
  40x = 27000  
 
 
  x = 675  
 
 
  Additional men = (675 400) = 275  
 
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5.
30 labourers, working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then the number of labourers to finish the same piece of work in 30 days, will be:
  • A.
    15
  • C.
    22
  • B.
    21
  • D.
    25
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
Let the required number of laourers be x. Then,
 
Less working hrs / day, More Labourers (Indirect Proportion)
 
More days, Less Labourers (Indirect Proportion)
 
Working Hrs / Day 6 : 7
Days 30 : 18
   :: 30 : x      
 
 
  6 x 30 x x = 7 x 18 x 30  
 
 
  6x = 126  
 
 
  x = 21  
 
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