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11.
If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
  • A.
    0
  • C.
    4
  • B.
    2
  • D.
    6
  • Answer & Explanation
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Answer : [C]
Explanation :
 
3x - y = 27 = 33
 
  x - y = 3 ...(i)
 
3x + y = 243 = 35
 
  x + y = 5 ...(ii)
 
On solving (i) and (ii), we get x = 4.
 
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12.
The value of (8-25 - 8-26] is:
  • A.
    7 x 8-25
  • C.
    8 x 8-26
  • B.
    7 x 8-26
  • D.
    None of these
  • Answer & Explanation
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Answer : [B]
Explanation :
 
8-25 - 8 -26 =  
1
825
-
1
826
   =
(8 - 1)
826
 = 7 x 8-26        
 
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13.
If 3X + 3X-1 = 18, Then the value of xx is :
  • A.
    3
  • C.
    27
  • B.
    8
  • D.
    216
  • Answer & Explanation
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Answer : [C]
Explanation :
 
 
  3x - 3x - 1 = 18  
 
 
  3x - 1 (3 - 1) = 18  
 
 
  3x - 1 = 9 = 32  
 
 
  x - 1 = 2  
 
 
  x = 3  
 
 
  xx = 33 = 27  
 
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14.
(17)3.5 x (17)? = 178
  • A.
    2.29
  • C.
    4.25
  • B.
    2.75
  • D.
    4.5
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let (17)3.5 x (17)x x 178, Then, (17)3.5 + x = (17)8
 
 
  3.5 + x = 8      
 
 
  x = (8 - 3.5)      
 
 
  x = 4.5      
 
 
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15.
If 2n + 4 - 2n + 2 = 3, then n is equal to:
  • A.
    0
  • C.
    -1
  • B.
    2
  • D.
    -2
  • Answer & Explanation
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Answer : [D]
Explanation :
 
 
  2n + 4 - 2n + 2 = 3  
 
 
  2n + 2 (22 - 1) = 3  
 
 
  2n + 2 = 1 = 20  
 
 
  n + 2 = 0  
 
 
  n = -2  
 
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