If $b$ is any positive integer and $a = 7$ , applying Euclid’s division lemma $(b = a q + r)$ , the value of $r$ can be:

- 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $6$
We know that $b = a q + r$ , where $0 \leq r < a$
Given that
$a = 7$
$⟹ b = 7 q + r$
$⟹ 0 \leq r < 7$
So, from the given options, $r$ can take only one value, which is $6$ .

Suggest Corrections

Similar questions

Q. If

a

is any positive integer and

b = 4

, applying Euclid’s division lemma

(a = bq + r)

, which of the following represents an odd number?

Q. Applying Euclid’s division lemma on positive integers a and b, if

a = b q + r

, then which of the following can be 0?

Euclid’s division lemma states “Given positive integers a and b, there exist unique integers q and r satisfying $a = b q + r$ ".
Which of the following is true for r?

Using Euclid’s division Lemma for any natural number and 4, which of the following forms can a positive integer be represented as, where m is an integer?

Q. According to Euclid division lemma, any two positive integers a and b can be written as a=bq+r, where:

Join BYJU'S Learning Program

If b is any positive integer and a=7, applying Euclid’s division lemma (b=aq+r), the value of r can be:​

The correct option is B 6We know that b=aq+r, where 0≤r<a Given that a=7 ⟹b=7q+r ⟹0≤r<7 So, from the given options, r can take only one value, which is 6.

If $b$ is any positive integer and $a = 7$ , applying Euclid’s division lemma $(b = a q + r)$ , the value of $r$ can be:

The correct option is B $6$
We know that $b = a q + r$ , where $0 \leq r < a$
Given that
$a = 7$
$⟹ b = 7 q + r$
$⟹ 0 \leq r < 7$
So, from the given options, $r$ can take only one value, which is $6$ .