Question

ASSERTION- A rational number lying between 3/5 and2/3 is 19/15. REASON - If x and y are two rational numbers ,such that x >y .Then (x+y)/2 is a rational number lying between x and y.

(a) Both the Assertion and the Reason are correct and the Reason is the correct explanation of the Assertion.

(b) The Assertion and the Reason are correct but the Reason is not the correct explanation of the Assertion.

(c) Assertion is correct but the Reason is incorrect.

(d) Assertion is incorrect but the Reason is correct.​

Answer 1

Answer:

a) is the correct option

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

ASSERTION - A rational number lying between 3/5 and 2/3 is 19/15.

REASON - If x and y are two rational numbers ,such that x >y .Then (x+y)/2 is a rational number lying between x and y.

(a) Both the Assertion and the Reason are correct and the Reason is the correct explanation of the Assertion.

(b) The Assertion and the Reason are correct but the Reason is not the correct explanation of the Assertion.

(c) Assertion is correct but the Reason is incorrect.

(d) Assertion is incorrect but the Reason is correct.

EVALUATION

Here the given numbers are 3/5 & 2/3

We know that If x and y are two rational numbers ,such that x >y .Then (x+y)/2 is a rational number lying between x and y.

So reason is correct

Now we are checking the assertion

Since the given numbers are 3/5 & 2/3

Let x = 3/5 , y = 2/3

x + y = 3/5 + 2/3 = 19/15

Accordingly ( x + y) /2 = 19/30

But it is noted in the assertion that the rational number lying between 3/5 and 2/3 is 19/15.

So assertion is not correct

FINAL ANSWER

Hence the correct option is

(d) Assertion is incorrect but the Reason is correct.

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