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31.
Find the number which is nearest to 457 and is exactly divisible by 11.
  • A.
    450
  • C.
    460
  • B.
    451
  • D.
    462
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Answer : [D]
Explanation :
 
On dividing 457 by 11, remainder is 6.
 
    Required number is either 451 or 462. Nearest to 456 is 462.  
 
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32.
9548 + 7314 = 8362 + ?
  • A.
    8230
  • C.
    8500
  • B.
    8410
  • D.
    8600
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let 9548 + 7314 = 8362 + x.
 
Then, 16862 = 8362 + x
 
x = (16862 - 8362) = 8500
 
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33.
In doing a division of a question with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is:
  • A.
    0
  • C.
    13
  • B.
    12
  • D.
    20
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Dividend = (12 x 35) = 420. Now, dividend = 420 and divisor = 21.
 
 
  Correct quotient =
420
21
 = 20.
 
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34.
What least value must be assigned to * so that the number 86325*6 is divisible by 11?
  • A.
    1
  • C.
    3
  • B.
    2
  • D.
    5
  • Answer & Explanation
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Answer : [C]
Explanation :
 
(6 + 5 + 3 + 8) - (x + 2 + 6) = (14 - x). Now, (14 - x) is divisible by 11, when x = 3.
 
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35.
The smallest three-digit prime number is:
  • A.
    103
  • C.
    100
  • B.
    107
  • D.
    None of these
  • Answer & Explanation
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Answer : [D]
Explanation :
 
100 is divisible by 2, so it is not prime.
 
101 is not divisible by any of the numbers 2, 3, 5, 7. So, it is prime.
 
Hence, the smallest 3-digit prime number is 101.
 
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