What least number must be added to 1056, so that the sum is completely divisible by 23 ?
A. 2
B. 3
C. 18
D. 21
E. None of these
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & 23)\,\,\,1056\,\,\,\,(45 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,92 \cr & \,\,\,\,\,\,\,\,\,\,\, - - - \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,136 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,115 \cr & \,\,\,\,\,\,\,\,\,\,\, - - - \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,21 \cr & \,\,\,\,\,\,\,\,\,\,\, - - - \cr & {\text{Required}}\,{\text{number}} \cr & = \left( {23 - 21} \right) \cr & = 2 \cr} $$Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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