Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively? · ABC26GN0532

Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: C.P.O. 2006

Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?
(a)15
(b)30
(c)45
(d)60
Answer
Answer (as printed): C
Explanation
Required number $$\begin{aligned} & =\text { H.C.F. of }(3026-11) \text { and }(5053-13) \\ & =\text { H.C.F. of } 3015 \text { and } 5040=45 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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