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51.
When .36 is written in simplest fractional form, the sum of the numerator and the denominator is:
  • A.
    15
  • C.
    114
  • B.
    45
  • D.
    135
  • Answer & Explanation
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Answer : [A]
Explanation :
 
0.36 =
36
100
=
9
25
 Sum of Numerator and Denominator = 9 + 25 = 34  
 
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52.
(8.31 + 0.6 + 0.002) is equal to:
  • A.
    8.912
  • C.
    8.979
  • B.
    8.912
  • D.
    8.979
  • Answer & Explanation
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Answer : [D]
Explanation :
 
(8.31 + 0.6 + 0.002) = 8 +
31 - 3
90
+
6
9
+
2
900
+
7200 + 280 + 600 + 2
900
     
 
= 
8082
900
= 8
882
900
 = 8 +
979 - 97
900
 = 8.979      
 
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53.
The value of (68.237)2 - (31.763)2 is:
  • A.
    3.6474
  • C.
    364.74
  • B.
    36.474
  • D.
    3647.4
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Given expression = (a2 - b2) = (a + b) (a - b)
 
  = (68.237 + 31.763) (68.237 - 31.763)    
 
  = (100 x 36.474) = 3647.4    
 
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54.
The value of
(0.06)2 - (0.47)2 + (0.079)2
(0.006)2 + (0.047)2 + (0.0079)2
 is:  
  • A.
    0.1
  • C.
    100
  • B.
    10
  • D.
    1000
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Given expression =
 
a2 + b2 + c2
 
a
10
  2 +  
b
10
  2 +  
c
10
  2
, where a = 0.6, b = 0.47 and c = 0.079.
 
 
 
  =
100 (a2 + b2 + c2)
(a2 + b2 + c2)
 = 100  
 
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55.
The value of  
8.6 x 5.3 + 8.6 x 4.7
4.3 x 9.7 - 4.3 x 8.7
   is :    
  • A.
    3.3
  • C.
    13.9
  • B.
    6.847
  • D.
    20
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Given expression =
8.6 x (5.3 + 4.7)
4.3 x (9.7 - 8.7)
=
8.6 x 10
4.3 x 1
  = 20  
 
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