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41.
A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?
  • A.
    2
  • C.
    4
  • B.
    3
  • D.
    5
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let n = 3q + 1 and let q = 2p + 1. Then, n = 3 (2p + 1) + 1 = 6p + 4
 
    The number when divided by 6, we get remainder = 4.  
 
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42.
935421 x 625 = ?
  • A.
    575648125
  • C.
    584649125
  • B.
    584638125
  • D.
    585628125
  • Answer & Explanation
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Answer : [B]
Explanation :
935421 x 625 = 935421 x 54 =
9354210000
24
 (see the rule)  
 
 
9354210000
16
 = 584638125.  
 
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43.
The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is :
  • A.
    Divisible by 6
  • C.
    Divisible neither by 6 nor by 9
  • B.
    Divisible by 9
  • D.
    Divisible by both 6 and 9
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the 3-digit number be xyz. Then,
 
(100x + 10y + z) - (x + y + z) = 99x + 9y = 9 (11x + y), Which is divisible by 9.
 
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44.
Which of the following is always odd?
  • A.
    Sum of two odd numbers
  • C.
    Product of two odd numbers
  • B.
    Difference of two odd numbers
  • D.
    None of these
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Product of two odd numbers is always odd.
 
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45.
The digit in unit's place of the product 81 x 82 x … x 89 is :
  • A.
    0
  • C.
    6
  • B.
    2
  • D.
    8
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Required digit = Unit digit in (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9) = 0.
 
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