Correct Answer: 5.5 cm

Solution : Given: Radius of sphere $r$ = 8.4 cm
The radius of cylinder $R$ = 12 cm
Let the height of the cylinder be $h$ cm.
According to the question,
The volume of the cylinder = volume of the sphere
$\pi R^2h = \frac{4}{3}\pi r^3$

Correct Answer: 10.5 cm

Solution : Let the radius of the sphere be $r$.
Total surface area of the sphere = $4 \pi r^2$
Volume of the sphere = $\frac{4}{3} \pi r^3$
According to the question,
$4 \pi r^2 : \frac{4}{3} \pi r^3 = 2 : 7$
⇒ $\frac{3}{r} =

Correct Answer: No improvement

Solution : The correct choice is the fourth option.

Explanation:

The sentence is grammatically and logically structured and does not require improvement.

Correct Answer: $72^{\circ}$

Solution :

Let $\angle DAC = x$
$\angle ADB = 2x$
$\angle BAC = 70^\circ$
$\angle BAD = 70^\circ - x$
In $\triangle ABD $
$⇒56^\circ + 2x^\circ + 70^\circ - x = 180^\circ $
$⇒ x = 54^\circ$
$⇒2x = 108^\circ$
Now, By linear pair of

Correct Answer: Raja Ram Mohan Roy

Solution : The correct answer is Raja Ram Mohan Roy.

Raja Ram Mohan Roy put up a valiant fight against the social evils that pervade Indian society. He was a freethinker with many traditions. As a result, Raja Ram Mohan Roy is credited

Correct Answer: Lactic acid

Solution : The correct answer is Lactic Acid.

Lactic acid builds up in the muscles of the human body as a result of strenuous exercise or muscular exhaustion. It is generated in the human body by the anaerobic respiration of carbohydrates. It is a byproduct of

Correct Answer: 10 years

Solution : The correct answer is 10 years.

First Decennial census of India was conducted in 1881 under the Viceroy Lord Mayo and Governor Lord Ripon. Since then census is conducted every 10 years. Since 1949 the responsibility of conducting census lies with Office of Registrar

Correct Answer: Both Assertion and Reason are true and correct explanation

Solution : The correct answer is (a) Both the Assertion and the Reason are true and provide a correct explanation.

The Assertion states that an increase in the exchange rate leads to a decrease in exports, which is true.

Correct Answer: $10$%

Solution : Given: The marked price of a CD is Rs. 250 and the selling price is Rs. 225.
Discount price = 250 – 225 = Rs. 25
Discount percentage = $ \frac{\text{Discount}}{\text{Marked price}}\times 100=\frac{25}{250}\times 100=10\%$
Hence, the correct answer is $10$%.

Correct Answer: It being a hot

Solution : The third option is the correct answer.

The underlined segment being a hot is grammatically incorrect. The reason for the correct answer is that the phrase it being a hot introduces a subject (it) and a gerund (being) to form a grammatically