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26.
9358 – 6014 + 3127 =?
  • A.
    6381
  • C.
    6561
  • B.
    6471
  • D.
    6741
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Answer : [B]
Explanation :
 
9358 - 6014 + 3127 = (9358 + 3127) - 6014 = (12485 - 6014) = 6471
 
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27.
The largest natural number by which the product of three consecutive even natural numbers is always divisible, is:
  • A.
    16
  • C.
    48
  • B.
    24
  • D.
    96
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Answer : [C]
Explanation :
 
Required number = (2 x 4 x 6) = 48.
 
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28.
The least prime number is:
  • A.
    0
  • C.
    2
  • B.
    1
  • D.
    3
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Answer : [C]
Explanation :
 
The least prime number is 2
 
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29.
A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is:
  • A.
    0
  • C.
    2
  • B.
    1
  • D.
    3
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let x = 6q + 3. Then, x2 = (6q + 3)2 = 36q2 + 36q + 9 = 6(6q2 + 6q + 1) + 3.
 
So, when x2 is divided by 6, remainder = 3.
 
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30.
12345679 x 72 is equal to :
  • A.
    88888888
  • C.
    898989898
  • B.
    888888888
  • D.
    999999998
  • Answer & Explanation
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Answer : [B]
Explanation :
 
12345679 x 72 = 12345679 x (100 - 28) = 1234567900 - (12345679 x 28)
 
  = 1234567900 - [12345679 x (30 - 2)]    
 
  = 1234567900 - 370370370 + 24691358 = 888888888.    
 
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