Question

On dividing 7865321 by a cer-
tain number, the quotient is
33612 and the remainder is
113. Find the divisor.
(A) 243 (B) 234
(C) 423 (D) 432
(1) A
(2) C
(3) B
(4)D​

Answer 1

Answer:

234

Step-by-step explanation:

let the number be x

A.T.P

7865321=33612x+113

33612x=7865321-113

x=7865208÷33612

x=234

Answer 2

The correct option is 3) (B) 234.

Step-by-step explanation:

Consider the provided information.

On dividing 7865321 by a certain number, the quotient is   33612 and the remainder is  113.

We need to find the divisor.

According to euclid division algorithm: a = bq + r

The element q is called the quotient and r is the remainder.

Substitute respective values in above formula.

$7865321=33612b+113$

$7865321-113=33612b$

$7865208=33612b$

$b=\frac{7865208}{33612}$

$b=234$

Hence, the correct option is 3) (B) 234.

#Learn more

What is Euclid's Division Lemma?

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