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51.
Which of the following numbers is exactly divisible by 99?
  • A.
    114345
  • C.
    913464
  • B.
    135792
  • D.
    3572404
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Answer : [A]
Explanation :
 
The required number should be divisible by both 9 and 11.
 
Clearly, 114345 is divisible by both 9 and 11. So, it is divisible by 99.
 
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52.
On dividing a number by 999, the quotient is 366 and the remainder is 103. The number is :
  • A.
    364724
  • C.
    365737
  • B.
    365387
  • D.
    366757
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Answer : [C]
Explanation :
 
Required number = 999 x 366 + 103 = (1000 - 1) x 366 + 103 = 366000 - 366 + 103
 
  = 365737.      
 
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53.
8756 x 99999 = ?
  • A.
    796491244
  • C.
    875591244
  • B.
    815491244
  • D.
    None of these
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Answer : [C]
Explanation :
 
8756 x 99999 = 8756 x (100000 - 1) = (8756 x 100000) - (8756 x 1)
 
  = (875600000 - 8756) = 875591244.  
 
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54.
The value of (112 + 122 + 132 + 142 + ............. + 202) is :
  • A.
    385
  • C.
    2870
  • B.
    2485
  • D.
    3255
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Answer : [B]
Explanation :
 
112 + 122 + 132 + ........... + 202
 
= (12 + 22 + 32 + ........... + 202) - (12 + 22 + 32 + ........... + 102)
 
=  
20 (20 + 1) (40 + 1)
6
-
10 (10 + 1) (20 + 1)
6
   = 2485.  
 
 
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55.
469157 x 9999 = ?
  • A.
    4586970843
  • C.
    4691100843
  • B.
    4686970743
  • D.
    584649125
  • Answer & Explanation
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Answer : [C]
Explanation :
 
469157 x 9999 = 469157 x (10000 -1) = (469157 x 10000) - (469157 x 1)
 
  = (4691570000 - 469157) = 4691100843.  
 
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