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Find the greatest number which divides 2011 and 2623 leaving remainder 9 and 5 respectively.

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150

155

154

153

answer is C.

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Detailed Solution

Given to find the greatest number which divides 2011 and 2623 leaving remainder 9 and 5 respectively.
Subtract the given remainders from the given integers.

2011 − 9 = 2002 2623 − 5 = 2618

Evaluate HCF (2002, 2618)

2618 = 2 × 7 × 11 × 17 2002 = 2 × 7 × 11 × 13

HCF

= 2 × 11 × 7

⇒ HCF (2002, 2618) = 154

Therefore, the greatest number which divides 2011 and 2623 and leaves remainders of 9 and 5 respectively is 154.
Hence the correct option is 3.

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