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6.
If 5(x + 3) = (25)(3x - 4), then the value of x is:
  • A.
    5  
    11  
  • C.
    11  
    3  
  • B.
    11  
    5  
  • D.
    13  
    5  
  • Answer & Explanation
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Answer : [B]
Explanation :
 
5(x + 3) = 25(3x - 4) = 5(x + 3) = (52)(3x - 4)    
 
  = 5(x + 3) = 52 (3x - 4)    
 
  = 5(x + 3) = 5(6x - 8)    
 
  = x + 3 = 6x - 8    
 
  = 5x = 11    
 
  x =
11
5
 
 
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7.
49 x 49 x 49 x 49 = 7?
  • A.
    4
  • C.
    8
  • B.
    7
  • D.
    16
  • Answer & Explanation
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Answer : [C]
Explanation :
 
49 x 49 x 49 x 49 = (72 x 72 x 72 x 72) = 7(2 + 2 + 2 + 2) = 78
 
So, the correct answer is 8.
 
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8.
Given that 100.48 = x, 100.70 =y and xz = y2, then the value of z is close to:
  • A.
    1.45
  • C.
    2.9
  • B.
    1.88
  • D.
    3.7
  • Answer & Explanation
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Answer : [C]
Explanation :
 
xz = y2
 
(100.48)z = (100.70)2  
 
 
 
10(0.48z) = 10(2 x 0.70)  
 
 
 
101.40  
 
 
 
0.48z = 1.40  
 
  z =
140
48
=
35
12
 = 2.9 (approx.)  
 
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9.
The value of
(243)0.13 x (243)0.07
(7)0.25 x (49)0.075 x (343)0.2
 is :    
  • A.
    3  
    7  
  • C.
    1
    3  
    7  
  • B.
    7  
    3  
  • D.
    2
    2  
    7  
  • Answer & Explanation
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Answer : [A]
Explanation :
 
(243)0.13 x (243)0.07
70.25 x (49)0.075 x (343)0.2
=
(243)(0.13 + 0.07)
70.25 x (72)0.075 x (73)0.2
   
 
  =
(243)0.2
70.25 x 7(2 x 0.075) x 7(3 x 0.2)
   
 
  =
(35)0.2
70.25 x 70.15 x 70.6
   
 
  =
3(5 x 0.2)
7(0.25 + 0.15 + 0.6)
   
 
  =
31
71
   
 
  =
3
7
   
 
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10.
(1000)7 ÷ 1018 = ?
  • A.
    10
  • C.
    1000
  • B.
    100
  • D.
    10000
  • Answer & Explanation
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Answer : [C]
Explanation :
 
(1000)7 ÷ 1018 =
(1000)7
1018
=
(103)7
1018
=
10(3 x 7)
1018
=
1021
1018
 = (10)(21 - 18) = 103 = 1000  
 
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