Question

26. Assertion: Rational numbers lying between two rational numbers a and b
is
a = b
Reason: There is one rational number lying between any two rational numbers.
O
(a) both assertion and reason are true and reason is the correct explanation of
assertion.
(b) both assertion and reason are true but reason is not the correct explanation of
assertion
O
0 (c) assertion is true but reason is false.
(d) assertion is false but reason is true.​

Answer 1

Answer:

(c) assertion is true but reason is false.

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Answer 2

Correct question:

Assertion: Rational numbers lying between two rational numbers a and b is (a + b)/2

Reason: There is one rational number lying between any two rational numbers.

Options:

(a) both assertion and reason are true and the reason is the correct explanation of assertion.

(b) both assertion and reason are true but the reason is not the correct explanation of assertion

(c) assertion is true but the reason is false.

(d) the assertion is false but the reason is true.​

Answer:

The correct answer is (c) assertion is true but the reason is false.

Step-by-step explanation:

The assertion given is 'Rational numbers lying between two rational numbers a and b is (a + b)/2.'

• If a and b are any two given rational numbers with a<b, then a rational number lying between them is given by (a+b)/2.
• Here, a < (a+b)/2 < b.
• Hence, the assertion is true.

The reason given is 'There is one rational number lying between any two rational numbers.'

• Between any two given rational numbers, there are infinite rational numbers lying in-between.
• Hence, the reason is false.

Therefore, for the given statements, the assertion is true but the reason is false.

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