Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case. · ABC26GN0527

Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
(a)4
(b)7
(c)9
(d)13
Answer
Answer (as printed): A
Explanation
Required number $$\begin{aligned} & =\text { H.C.F. of }(91-43),(183-91) \text { and }(183-43) \\ & =\text { H.C.F. of } 48,92 \text { and } 140=4 . \end{aligned}$$

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

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