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31.
Consider the following quotients:
1. 368.39 divided by 17            2. 170.50 divided by 62           3. 875.65 divided by 83
Their correct sequence in decreasing order is:
  • A.
    1, 3, 2
  • C.
    2, 3, 1
  • B.
    2, 1, 3
  • D.
    3, 1, 2
  • Answer & Explanation
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Answer : [A]
Explanation :
 
1. 36839   17 = 2167. Dividend contains 2 places of decimal.    
 
     368.39    17 = 21.67
 
2. 17050   62 = 275. Dividend contains 2 places of decimal.    
 
     170.50    62 = 2.75
 
3. 87565   83 = 1055. Dividend contains 2 places of decimal.    
 
     875.65    83 = 10.55
 
Since 21.67 > 10.55 > 2.75, the desired order is 1, 3, 2
 
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32.
Which of the following fractions is less than
7
8
 and greater than
1
3
 ?    
  • A.
    		 1  
    4  
  • C.
    		 11  
    12  
  • B.
    		 23    
    24  
  • D.
    		 17    
    24  
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
 
7
8
 = 0.875,
1
3
 = 0.333.
1
4
 = 0.25.
23
24
 = 0.958.
11
12
 = 0.916,
17
24
 = 0.708.  
 
Clearly, 0.708 lies between 0.333 and 0.875.
 
 
 
17
24
 lies between
1
3
 and
7
8
 
 
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33.
 
0.05
0.25
+
0.25
0.05
  3  =?    
  • A.
    139.4
  • C.
    140.6
  • B.
    140
  • D.
    143.9
  • Answer & Explanation
  • Report
Answer : [C]
Explanation :
 
 
0.05
0.25
+
0.25
0.05
  3 =  
5
25
+
25
5
  3 =  
1
5
 + 5   3 =  
26
5
  3  = (5.2)3 =140.608          
 
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34.
If 1.5x = 0.04y. then the value of  
y - x
y + x
   is :  
  • A.
    		 730  
    77  
  • C.
    		 7.3  
    77  
  • B.
    		 73    
    77  
  • D.
    None of these
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
x
y
=
0.04
1.5
  =
4
150
=
2
75
 
 
 
y - x
y + x
=
1 -
x
y
1 +
x
y
=
1 -
2
75
1 +
2
75
=
73
77
 
 
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35.
(0.6)4 - (0.5)4
(0.6)2 + (0.5)2
 is equal to:    
  • A.
    0.1
  • C.
    1.1
  • B.
    0.11
  • D.
    11
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
Given expression =
[(0.6)2]2 -[(0.5)2]2
(0.6)2 + (0.5)2
=
[(0.6)2]2 + [(0.5)2]2 [(0.6)2]2 - [(0.5)2]2
(0.6)2 + (0.5)2
   
 
  = (0.6)2 - (0.5)2 = (0.6 + 0.5) (0.6 - 0.5) = (1.1 x 0.1) = 0.11  
 
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