Question

The following questions consist of two statements- Assertion (A) & Reason (R). Answer these questions selecting the appropriate options given below:

(a) Both A & R are true and R is the correct explanation for A.
(b) Both A & R are true and R is not the correct explanation for A. (c) A is true but R is false
(d) A is false but R is true.

Q11. Assertion (A): If √2 = 1.414, √3 = 1.732, the square root of 5 = √2 + √3 = √5.
Reason (R): Square root of a positive real number always exist.

Q12. Assertion (A): Rational number lying between two rational numbers a & b is
$\frac{a + b}{2}$
Reason (R): There is only one rational number lying between any two rational numbers.

Q13. Assertion (A): √2, √3 are examples of irrational numbers. Reason (R): An irrational number can be expressed in the form p/q.

Q14. Assertion (A): 0.271 is a terminating decimal and we can express this number as 2711000 which is of the form p/q, where p & q are integers and q ≠0.
Reason (R): A terminating and non-terminating decimal expansion can be expressed as rational number.

Q15. Assertion (A): (5 + √2) + (5 + √2) is a rational.
Reason (R): Sum of two irrational numbers may be rational or irrational. ​

Answer 1

Step-by-step explanation:

1. d) A is false but R is true.
2. a) Both A & R are true and R is the correct explanation for A.
3. (c) A is true but R is false
4. a) Both A & R are true and R is the correct explanation for A.
5. (d) A is false but R is true.

Answer 2

Answer:

question 11.d).

question 12.a).

question 13.c).

question 14.a).

question 15.d).