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26.
If 47.2506 = 4A +
7
B
 + 2C +
5
D
 + 6E, then the value of 5A + 3B + 6C + D + 3E is:  
  • A.
    53.6003
  • C.
    153.6003
  • B.
    53.603
  • D.
    213.0003
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Answer : [C]
Explanation :
 
4A +
7
B
+ 2C +
5
D
 + 6E = 47.2506  
 
 
 4A +
7
B
 + 2C +
5
D
 + 6E = 40 + 7 + 0.2 + 0.05 + 0.0006    
 
Comparing the terms on both sides, we get:
 
4A = 40
7
B
= 7, 2C = 0.2,
5
D
 + 0.05, 6E = 0.0006  
 
or A = 10, B = 1, C = 0.1, D = 100, E = 0.0001
 
   5A + 3B + 6C + D + 3E = (5 x 10) + (3 x 1) + (6 x 0.1) + 100 + (3 x 0.0001)  
 
  = 50 + 3 + 0.6 + 100 + 0.0003 = 153.6003  
 
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27.
The rational number for the recurring decimal 0.125125…. is:
  • A.
    63  
    487  
  • C.
    125  
    999  
  • B.
    119    
    993  
  • D.
    None of these
  • Answer & Explanation
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Answer : [C]
Explanation :
 
0.125125...... = 0.125 =
125
999
 
 
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28.
 
8(3.75)3 + 1
(7.5)2 - 6.5
   is equal to :  
  • A.
    9  
    5  
  • C.
    4.75
  • B.
    2.75
  • D.
    8.5
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Given expression =
(2 x 3.75)3 + (1)3
(7.5)2 - (7.5 x 1) + (1)2
=
(7.5)3 + (1)3
(7.5)2 - (7.5 x 1) + (1)2
 
 
 
a3 + b3
a2 - ab + b2
   = (a + b) = (7.5 + 1) = 8.5
 
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29.
3 x 0.3 x 0.03 x 0.003 x 30 = ?
  • A.
    0.0000243
  • C.
    0.00243
  • B.
    0.000243
  • D.
    0.0243
  • Answer & Explanation
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Answer : [C]
Explanation :
 
3 x 3 x 3 x 3 x 30 = 2430. Sum of decimal places = 6.
 
      3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 = 0.00243.    
 
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30.
8.7 - [7.6 - [6.5 - (5.4 - 4.3 - 2)]] is simplified to :
  • A.
    2.5
  • C.
    4.5
  • B.
    3.5
  • D.
    5.5
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Given expression = 8.7 - [7.6 - (6.5 - (5.4 - 2.3))]
 
   = 8.7 - [7.6 - (6.5 - 3.1)]  
 
   = 8.7 - (7.6 - 3.4) = 8.7 - 4.2 = 4.5  
 
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