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11.
1399 x 1399 = ?
  • A.
    1687401
  • C.
    1943211
  • B.
    1901541
  • D.
    1957201
  • Answer & Explanation
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Answer : [D]
Explanation :
 
(1399 x 1399) = (1399)2 = (1400 - 1)2 = (1400)2 + 12 - 2 x 1400 x 1
 
  = 1960000 + 1 - 2800 = 1960001 - 2800 = 1957201    
 
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12.
Which of the following numbers is exactly divisible by 24?
  • A.
    35718
  • C.
    537804
  • B.
    63810
  • D.
    3125736
  • Answer & Explanation
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Answer : [D]
Explanation :
 
The required number should be divisible by 3 and 8
 
(a)  718 is not divisible by 8
 
(b)  810 is not divisible by 8
 
(c)  804 is not divisible by 8
 
(d) Sum of digits = 27, which is divisible by 3.
 
And, 736 is divisible by 8. So given number is divisible by 3 and 8.
 
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13.
If x is a whole number, then x2 ( x2 - 1) is always divisible by :
  • A.
    12
  • C.
    12-x
  • B.
    24
  • D.
    multiple of 12.
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Putting x = 2, we get 22 (22 - 1) = 12. So, x2(x2 - 1) is always divisible by 12.
 
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14.
325325 is a six-digit number. It is divisible by :
  • A.
    7 only
  • C.
    13 only
  • B.
    11 only
  • D.
    all 7, 11 and 13
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Clearly, 325325 is divisible by all 7, 11 and 13.
 
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15.
If 6x43 – 46y9 = 1904, which of the following should come in place of x=?
  • A.
    4
  • C.
    9
  • E.
    None of these
  • B.
    6
  • D.
    Cannot be determined
  • Answer & Explanation
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Answer : [E]
Explanation :
 
6x43 - 46y9 = 1904       6x43 = 1904 + 46y9 [1 + y = 4     y = 3]
 
        6x43 = 1904 + 4639 = 6543 [     y = 3]
 
        x = 5.
 
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