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B. Assertion and Reason type Questions.

In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion
(A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).

(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): The difference of any two rational numbers is always a rational number.

Reason (R): Rational number are closed under subtraction. This property is known as closure
property.
2. Assertion (A): 1 is the reciprocal of itself.
b a
Reason (R): is the reciprocal of .
a b
3. Assertion (A): 5 ÷ 8 ≠ 8 ÷ 5
Reason (R): Division is not commutative for rational number.
C. Fill in the blanks.

1. If p is a negative rational number, then the negative of p is a .................... rational number.
2. Rational numbers can be added or multiplied in any ......................

−2
3. The reciprocal of is ....................
3
−3
4. The additive inverse of is ......................
−5
5. The two rational numbers lying between –4 and –7 with denominator as 1 are ........... and ..............

D. Answer the following.

1 3 1
1. Mrs Mishra purchased 3 kg of mangoes at the rate of `40 per kg and 1 kg of
2 4 4
1
grapes at the rate of `50 per kg. How much money did she spend in all?
2
1 1
2. A person had `190 with him. He bought 2 2 dozen eggs at `66 per dozen. How
much money is left with him? 2

1 3
3. Shalini has to cut out circles of diameter 1 4 cm from an aluminium drip of dimensions 8 4 cm by
1 1 cm. How many full circles can Shalini cut? Also calculate the wastage of the aluminium strip.
4
8 3 cm
4

1
1 cm
4

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