MCQ
Assertion and Reason Type
Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:
Assertion (A)
Reason (R)
The number of coins of 1.75cm in diameter and 2 mm thick from a melted cuboid (10cm × 5.5cm × 3.5cm) is 400.
Volume of a cylinder of base radius r and height h is given by $\text{V}=(\pi\text{r}^2\text{h})$ cubic units. And volume of a cuboid = (l × b × h) cubic units.
  • Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
  • C
    Assertion (A) is true and Reason (R) is false.
  • D
    Assertion (A) is false and Reason (R) is true.

Answer

Correct option: A.
Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
Volume of the cuboid $=(10\times5.5\times3.5)\text{cm}^3$

Volume of each cone $=\pi\text{r}^2\text{h}$

$=\frac{22}{7}\times\frac{1.75}{2}\times\frac{1.75}{2}\times\frac{1}{5}$

Number of cone $=\frac{\text{volume of the cuboid}}{\text{Volume of each coin}}$

$=\frac{10\times5.5\times3.5}{\frac{22}{7}\times\frac{1.75}{2}\times\frac{1.75}{2}\times\frac{1}{5}}$

$=400$

So, the Assertion (A) is true.

The Reason (R) is also true and is the correct explanation for the Assertion (A).

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