When a number is divided by $56,$ the remainder is $29.$ If the same number is divided by $8,$ then the remainder will be:

  • A
    $6$
  • B
    $7$
  • C
    $5$
  • D
    $3$

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$\frac{1}{4}$ of a number subtracted from $\frac{1}{3}$ of the same number gives $12$. The number is:

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Difficult
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The least positive integer that should be subtracted from $3011 \times 3012$ so that the difference is a perfect square,is

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Find the least number which must be subtracted from $9269$ so that the resulting number is exactly divisible by $73$.

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