Question

According to euclid's division Lemma the relation of 17, 6 is

A) 17=16×2+5
B) 17=5×2+7
C) 17=2×5+7
D) 17=7×2+3

PLEASE TELL THE ANSWER FAST I have exams.........

Answer 1

Answer:

(D) 17 = 7 × 2 + 3

Step-by-step explanation:

Euclid's division lemma states that a = bq + r where 0 ≤ r ≤ b.

In this question, a is taken as 17.

Given as option (A) is incorrect as LHS ≠ RHS.

⇒ Consider options (B) and (C).

• r is taken as 7. either 5 or 2 is taken as b, such that either 2 or 5 respectively is taken as q. But these contradict the fact that 0 ≤ r ≤ b.

⇒ In option (D), 3 is taken as r. So 7 should be taken as b such that 0 ≤ 3 ≤ 7.

So (D) is the answer.