Question

A:16\15is a rational number. R:the denominator of 16\15 has 3 as one of its prime factor.
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Answer 1

Solution :-

A) 16/ 15 is a rational number.

since we know that,

• A number which can be written in the form of p/q, where q ≠ 0 are called as rational numbers .

so, comparing 16/15 by p/q, we get,

→ p = 16

→ q = 15

here q is not equal to zero .

therefore, we can conclude that, 16/15 is a rational number .

B) R:The denominator of 16/15 has 3 as one of its prime factor.

checking prime factors of denominator we get,

→ 15 = 3 * 5

as we can see that, the denominator of 16/15 has 3 as one of its prime factor.

hence, both given statements are true .

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Answer 2

Given :  A : 16/15  is a rational number

R : :the denominator of 16/15 has 3 as one of its prime factor.

A : Assertion

R : Reason :

Complete Question is :

To Find :  Correct option :

1. Both Assertion and reasons are true and Reason is the  is the correct explanation of assertion

2. Assertion is true  but reason is not.

3  Assertion is not true  but reason is true

4.  Both Assertion and reasons are true but Reason is not the  is the correct explanation of assertion

Solution:

16/15  is a rational number  - TRUE

as a  rational number can be written in the form of p/q

where p and q ate integers and q ≠ 0

p = 16  integer

q = 15  integer ≠ 0

Hence assertion :  16/15  is a rational number  - TRUE

:the denominator of 16/15 has 3 as one of its prime factor.

15 is denominator

15 = 3 * 5

Hence :the denominator of 16/15 has 3 as one of its prime factor. TRUE

but 3 being a factor in denominator is not a condition for rational number but for non terminating decimal .

Hence Reason is not the correct explanation of assertion

Both Assertion and reasons are true but Reason is not the  is the correct explanation of assertion

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