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1.
If 12% of x is equal to 6% of y, then 18% of x will be equal to how much per cent of y?
  • A.
    7%
  • C.
    11%
  • B.
    9%
  • D.
    None of these
  • Answer & Explanation
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Answer : [B]
Explanation :
We have, 12% of x = 6% of y
 
  2% of x = 1% of y  
 
  (2 x 9)% of x = (1 x 9)% of y  
 
  18% of x = 9% of y  
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2.
In a shipment of 120 machine parts, 5 per cent were defective. In a shipment of 80 machine parts, 10 per cent were defective. For the two shipments combined, what per cent of the machine parts were defective?
  • A.
    6.5
  • C.
    7.5
  • B.
    7.0
  • D.
    8.0
  • Answer & Explanation
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Answer & Explanation : [B]
Explanation :
14 out of 200 machine parts were defective, i.e., 7%
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3.
A number is increased by 20% and then decreased by 20%, the final value of the number.
  • A.
    does not change
  • C.
    increases by 4%
  • B.
    decreases by 2%
  • D.
    decreases by 4%
  • Answer & Explanation
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Answer : [D]
Explanation :
Here, x = 20 and y = -20
 
  The net % change in value =   x + y +
xy
100
  %  
    =   20 - 20 -
20 x 20
100
  % or -4%  
Since the sign is negative, there is decrease in value by 4%.
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4.
? x 15 = 37.5% of 220
  • A.
    5.5
  • C.
    6.5
  • B.
    7.5
  • D.
    None of these
  • Answer & Explanation
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Answer : [A]
Explanation :
Let x x 15 = 37.5% of 220
 
  15x =
37.5
100
 x 220  
 
  x =
37.5 x 220
15 x 100
 = 5.5  
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5.
Three papers where set in an examination and the maximum marks per paper were in the ratio of 1 : 2 : 2 respectively. If a student obtained 50% in the first paper, 60% in the second, and 65% in the third, what percent did he obtain overall?
  • A.
    58.3%
  • C.
    33.33%
  • C.
    66.66%
  • D.
    60%
  • Answer & Explanation
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Answer : [D]
Explanation :
Ratio of maximum marks = 1 : 2 : 2
Ratio of marks obtained = (0.5 x 1) : (0.6 x 2) : (0.65 x 2) = 0.5 : 1.2 : 1.3
 
  Overall percentage =
0.5 + 1.2 + 1.3
1 + 2 + 2
 x 100  
  = 60%  
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