Question

The greatest possible number with which when we divide 37 and 58, leaves the respective

remainder of 2 and 3, is -

(A) 2
(B) 5
(C) 10
(D) None of these​

Answer 1

Answer is five because when we divide with Five we get remainders two and three

Answer 2

Answer:

Option B. 5 is the answer.

Step-by-step explanation:

$\mathtt{Here, \:we \:have\: to \:find\: a\: number} \\ \mathtt{which \:exactly\: divides\:(37-2),\:(58-3).} \\</p><p>\\ \mathtt{The \:required \:number\: is \:the\: HCF \:of \:35\: and \:55.} \\</p><p>\\ \mathtt{Hence,\: H. C. F \:of \:(35,55) \:=\: 5} \\</p><p></p><p>\\\mathtt{\blue{The \:required \:number\: is\: 5.} }$