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MATHS Assertion (A) & Reason (B) MCQ

Surface Areas and Volumes · MP Board (MPBSE) STD 9 (Madhya Pradesh - English Medium). 60 questions.

Questions · Page 2 of 2

Assertion (A) & Reason (B) MCQ

MCQ 511 Mark
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 external dimensions of a wooden box are $18\ cm, 10\ cm$ and $6\ cm$ respectively and thickness of the wood is $15mm,$ then the internal volume is $765\ cm^3$
Reason: If external dimensions of a rectangular box be $l, b$ and $h$ and the thickness of its sides be $x,$ then its internal volume is $(l - 2x)(b - 2x)(h - 2x).$
  • ✓
    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.
  • C
    Assertion is true but reason is false.
  • D
    Assertion is false but reason is true.
Answer
Correct option: A.
Both assertion and reason are true and reason is the correct explanation of assertion.

Length of box $= 18\ cm$
Width of box $= 10\ cm$
Height of box $= 6\ cm$
thickness of box $=5\text{mm}=\frac{1}{2}\text{cm}$
Internal length, width, height of the box is.
$\Big(18-\frac{2\times1}{2}\Big),\Big(10-\frac{2\times1}{2}\Big),\Big(6-\frac{2\times1}{2}\Big),$
Internal volume of box $=17\times9\times5$
$=765\text{cm}^3$

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MCQ 521 Mark
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 total surface area of a cone $968$ sq.units with radius $14$ units and slant height $8$ units.
Reason: Surface area of cone $=\pi\text{r}^2\text{l}$
  • ✓
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Assertion is correct but reason is false.
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MCQ 531 Mark
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 radius of a cylinder is doubled and its height remaining same.Then its volume will be increased four times.
Reason: Volume of the cylinder is $\pi\text{r}^\text{2th}$ where, $r =$ radius of base and $h =$ height of the cylinder.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • ✓
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 541 Mark
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 value of the side of cube is $10\ cm$ then $500 \mathrm{vm}^2$ and $3000 \mathrm{~cm}^3$ its surface area and volume.
Reason: Surface area and volume of cube are always equal.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • ✓
    Both Assertions and reason are false.
Answer
Correct option: D.
Both Assertions and reason are false.
Both Assertions and reason are false.
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MCQ 551 Mark
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 point of intersection of the $3$ edges of a cuboid is called the vertex of a cuboid.
Reason: A cuboid has $8$ vertices.
  • ✓
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 561 Mark
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: $550 \mathrm{~cm}^3$ is the volume of cylindrical shape of water container that has height of $7\ cm$ and diameter of $10\ cm$
Reason: Volume of cylinder $=\pi\text{r}^2\text{h}$​​​​​​​
  • ✓
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 571 Mark
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 surface area of cube whose edge equal S to $3\ cm$ is $54\ sq.cm$
 Reason: Surface area of cube.
  • ✓
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 581 Mark
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 a cylinder radius is doubled and height is halved curved surface area will be same.
Reason: Curved surface area of cylinder $=2\pi\text{RH}$
  • ✓
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 591 Mark
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 circumference of a circle is 176cm, then its radius is 28cm. Reason: Circumference $= 2\pi×\text{radius}.$
  • ✓
    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.
Answer
Correct option: 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 the correct explanation of assertion $(A)$.
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MCQ 601 Mark
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 volume and surface area of a sphere are related to each other by radius.
Reason: The relation between the surface area and volume is $\mathrm{S}^3=36 \mathrm{~V}^2$
  • ✓
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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Assertion (A) & Reason (B) MCQ - Page 2 - MATHS STD 9 Questions - Vidyadip