Question

1) If the Euclid’s Division Lemma is applied to 148 and 124, then the value of is between ________.(i) 0 < < 148 (ii) 124 < < 148(iii) 0 ≤ < 124 (iv) 0 ≤ < 24​

Answer 1

Answer:

I understand what you write but this words I took the distance 12343 the answer is third you understand the answer is 3rd part

Answer 2

Answer:

Concept:

Euclid Division Lemma  is a strategy for determining the exact divisor of two numbers that involves dividing the larger by the smaller, the smaller by the remainder, the first remainder by the second remainder, and so on until an exact division is achieved.

It says that given two positive integers a and b, there exist unique integers q and r such that a = (b ×q) + r, $0\leq r < b.$The integer q is the quotient and the integer r is the remainder

Step-by-step explanation:

Given:

The two given numbers are 148 and 124.

To find:

Using the Euclid 's division algorithm, we have to find the value between with a given options.

Solutions:

By using Euclid 's division algorithm,

$a=bq+r$,  $0\leq r < b.$

⇒148 = 124×1 + 24

⇒124 = 24×5 + 4

⇒24 = 4×6 + 0.

Hence the value is lies between 0 ≤ < 24 .

The option (iv) is correct.

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