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6.
On simplification of
(2.644)2 - (2.356)2
0.288
, we get :  
  • A.
    1
  • C.
    5
  • B.
    4
  • D.
    6
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Given expression =
(2.644)2 - (2.356)2
2.644 - 2.356
=
a2 - b2
a - b
 = (a + b) = (2.644 + 2.356) = 5  
 
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7.
792.02 + 101.32 - 306.76 = ?
  • A.
    586.58
  • C.
    997.11
  • B.
    893.34
  • D.
    1200.10
  • Answer & Explanation
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Answer : [A]
Explanation :
 
 
  792.02
+ 101.32
  893.34
   
 
  893.34
- 306.76
  586.58
   
 
 
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8.
The simplification of
0.2 x 0.2 + 0.02 x 0.02 - 0.4 x 0.02
0.36
   
  • A.
    0.009
  • C.
    0.9
  • B.
    0.09
  • D.
    9
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
0.2 x 0.2 + 0.02 x 0.02 - 0.4 x 0.02 = 0.2 x 0.2 + 0.02 x 0.02 - 2 x 0.2 x 0.02
 
  = (a2 + b2 - 2ab) = (a - b)2 = (0.2 - 0.02)2  
 
  = (0.18)2  
 
 
 
 Given expression =
(0.18 x 0.18)
0.36
 = 0.09
 
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9.
When 52416 is divided by 312, the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168?
  • A.
    3.12
  • C.
    3120
  • B.
    312
  • D.
    None of these
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Given,
52416
312
 = 168
 
 
52416
168
 = 312  
 
Now,
52.416
0.0168
=
524160
168
=  
52416
168
 x 10    = (312 x 10) = 3120    
 
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10.
The value of  
8.94 x 8.94 x 8.94 - 3.56 x 3.56 x 3.56
8.94 x 8.94 + 8.94 x 3.56 + 3.56 x 3.56
   is :
  • A.
    0.538
  • C.
    0.0538
  • B.
    5.38
  • D.
    53.8
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
Given expression =
(8.94)3 - (3.56)3
(8.94)2 + 8.94 x 3.56 + (3.56)2
=  
a3 - b3
a2 + ab + b2
     
 
  = (a - b) = (8.94 - 3.56) = 5.38    
 
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