Assertion (A): -7 -2 is a negative rational number. Reason (R) : … - Vidyadip

MCQ

Assertion (A): $\frac{-7}{-2}$ is a negative rational number.
Reason (R) : A rational number is said to be positive if its numerator and denominator are either both positive or both negative.

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 and Reason (R) is not the correct explanation
of Assertion (A).
C
Assertion (A) is true but Reason (R) is false.
✓
Assertion (A) is false but Reason (R) is true.

✓

Answer

Correct option: D.

Assertion (A) is false but Reason (R) is true.

(d): $\frac{-7}{-2}$ is a positive rational number as its numerator and denominator have the same signs.
$\therefore A$ is false.
R is clearly true (by the definition of positive rational numbers).

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Assertion (A) & Reason (B) MCQ" from Rational Numbers→Rational Numbers — all question types→MATHS STD 7 question papers→Gujarat Board STD 7 question papers→Gujarat Board question paper generator→

Similar questions

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion$(A)$: The simple interest on $Rs. 1000$ for $2$ years at $8\%$ per annum is $Rs. 160$.
Reasons$(R)$: Simple interest is a quick and easy method of calculating the interest charge on a loan.

Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $\big(\frac{1}{5}\big)\div\big(\frac{5}{6}\big)=\big(\frac{1}{5}\big)\times\big(\frac{6}{5}\big).$
Reason: While dividing one fraction by another fraction, we multiply the first fraction by the reciprocal of the other.

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: product of powers property
Reason: $5^8 \times 5^{-7}=5^3$

Assertion (A): If an article is sold at a lesser price compared to the purchase price then there is a loss.
Reason ( R ): Loss $= CP - SP$.

Assertion (A): Two decimal numbers having different whole-number parts cannot be compared.
Reason (R): In order to compare two decimal numbers we first convert them to like decimals.

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the inclination between the arms is less than a right angle, it is called an acute angle.
Reason: $134^\circ $ is type of acute angle

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Parallel lines are always equidistant.
Reason: If two parallel lines are intersected by a transversal, then a pair of alternate angles are equal.

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The expression $y + 19$ is in one variable
Reason: In $y + 19$ the variable is $y$

Assertion (A): For any three integers $a, b, c$, we have $a \times(b+c)=(a \times b)+(a \times c)$.
Reason (R): The associative law of multiplication holds for integers.

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the exponent is $0$, then we get $1$ as the final result
Reason: $9^{0=1}$