Download App

Rational Numbers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers1 Mark
MCQ
Assertion (A): $\frac{-8}{3}$ is a rational number.
Reason (R) : Every integer is a rational number.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • ✓
     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.
  • D
    Assertion (A) is false but Reason (R) is true.
✓

Answer

Correct option: B.
 Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
(b): $\frac{-8}{3}$ is a rational number as it is of the form $\frac{a}{b}$, where $a$ and $b$ are both integers.
$\therefore A$ is true.
Every integer is a rational number as an integer $m$ can be written as $\frac{m}{1}$, which is clearly a rational number.
$\therefore R$ is also true but R is not the correct explanation of A .

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: $7L$ is $\frac{1}{7}$ of $49$ Litres.
Reason: $49\times\frac{1}{7}=7.$
→
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 sum of two adjacent angle is $100^\circ $ and one of them is $35^\circ $ then other is $65^\circ $
Reason: adjacent angle are always supplementary.
→
Assertion (A) For two rational numbers $\frac{a}{b}$ and $\frac{c}{d}, \frac{a}{b}+\frac{c}{d}$ is also rational number.
Reason ( $R$ ) There are no two rational numbers whose sum is not a rational number.
→
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 letter $F$ has no line of symmetry
Reason: None of the lines pass through the letter $F$ to get a symmetry
→
Assertion (A): Two circles having the same circumference are always congruent.
Reason (R): Congruent triangles have equal areas.
→
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: $1$ is the only number which is its own reciprocal.
Reason: Reciprocal of $\frac{1}{1}$ is $\frac{1}{1}.$
→
Assertion (A): $\left(\frac{3}{5}\right)^2+\left(\frac{4}{5}\right)^2=1$
Reason (R): For any rational number $\frac{a}{b}$, we have $\left(\frac{a}{b}\right)^m+\left(\frac{a}{b}\right)^n=\left(\frac{a}{b}\right)^{m+n}$.
→
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: $15$ is $\frac{3}{5}$ of $25$.
Reason: $\frac{3}{5}\times25=15.$
→
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: In the given figure, $ABCD$ is a quadrilateral in which $AB\ ||\ DC$ and $P$ is the midpoint of $BC$. On producing, $AP$ and $DC$ meet at $Q$ then $DQ = DC + AB.$
Reason: If two sides and the included angle of one triangle are equal to two sides
→
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 : $(-9) + (-4) < (-9) – (-4).$
Reason : $-13 <-5.$
→