Question

Qus:-910 blue and 1001 red pens are distributed to students of class X so that each of student gets the same number of pens of each kind. What is the maximum strength of the class?
(A)91
(B)80
(C)94
(D)86.

Answer 1

Here is your solution :

It is given that each student gets the same number of pens of each kind.

TO find the maximum number of students that can get equal pens of each kind. We have to find the H. C. F of given numbers.

As, this is a question of 10th, so we shall use Euclid's Division Lemma to find its H. C. F.

Q. What is Euclid's Division lemma?

It states that if two positive integers a and b are such that a > b, then two more numbers q and r exists between them. Such that :

=> a = bq + r ( 0 _< r < b)

Let, a = 1001 and b = 910

Using Euclid's Division Lemma,

First step,

=> 1001 = 910 × 1 + 91

Second step,

=> 910 = 91 × 10 + 0

H.C.F ( 1001, 910) = 91

Hence, the answer is option a. 91.

Answer 2

Answer:

Refers to the attachment.... I hope it helps you.... Thanks....