Correct Answer: 1600 cm³

Solution : Given: The volume of a cone whose radius of a base and height are $r$ cm and $h$ cm respectively, is 400 cm³.
The volume of a cone whose radius of base and height are $r$ cm and $h$ cm respectively

Correct Answer: $\frac{a+b}{1-a b}$

Solution : Given, $\tan (\alpha+\beta)=a$ and $\tan (\alpha-\beta)=b$
$\tan{2\alpha}=\tan((\alpha + \beta)+(\alpha - \beta)) = \frac{\tan(\alpha+\beta) + \tan(\alpha - \beta)}{1-\tan(\alpha + \beta)\tan(\alpha - \beta)}= \frac{a+b}{1-ab}$
Hence, the correct answer is $\frac{a+b}{1-ab}$.

Correct Answer: Whales

Solution : The correct option is - Whales

Whales are warm-blooded, which means they are able to regulate their internal body temperature independent of the external environment. This is in contrast to cold-blooded animals, like reptiles, whose body temperature is determined by the surrounding environment. Warm-blooded animals,

Correct Answer: 20, 5, 1, 3, 8, 5, 18

Solution : When alphabets are serially numbered →

Correct Answer: sell its stake in its subsidiary

Solution : The correct choice is the fourth option.

The correct possessive pronoun should be used in accordance with the singularity or plurality of the subject. This change maintains consistency in possessive pronouns by using its to refer to the company and

Correct Answer: (133, 7, 21)

Solution : Given:
(24, 3, 10); (144, 9, 18)

In the given sets, divide the first number by the second number and then add 2 to it to get the third number.
(24, 3, 10)→(24 ÷ 3) + 2 = 8 + 2 = 10

Correct Answer: 64

Solution : Given:
19 : 324 :: 25 : 576 :: 9 : ?

In the given number pairs, subtract 1 from the first number and then find the square of the resultant, to get the second number.
Like, 19 : 324→(19 – 1)² = (18)

Correct Answer: –2

Solution : $\frac{(2.53)^3+(2.47)^3}{25.3 \times 25.3-624.91+24.7 \times 24.7}$
$\Rightarrow \frac{(2.53)^3+(2.47)^3}{25.3 \times 25.3-624.91+24.7 \times 24.7} = 5\times 10^{k}$
$\Rightarrow \frac{(2.53+2.47)(2.53^{2}+2.47^{2}-2.53\times 2.47)}{100\times2.53 \times 2.53-100\times6.2491+100\times2.47 \times 2.47} = 5\times 10^{k}$
$\Rightarrow \frac{(2.53+2.47)(2.53^{2}-6.2491+2.47^{2})}{10^{2}(2.53 \times 2.53-6.2491+2.47 \times 2.47)} = 5\times 10^{k}$
$\Rightarrow (2.53+2.47)\times10^{-2}=5\times 10^{k}$
$\Rightarrow 5\times10^{-2}=5\times 10^{k}$
$\therefore k=-2$
Hence, the correct answer

Correct Answer: 25 km/hr

Solution : Given, Vikas covers 40% of the distance at 40 km/hr, 50% of the distance at 25 km/hr, and the remaining 10% distance at 10 km/hr.
Let the total distance be $100x$
We know the average speed
= $\frac{\text{Total distance}}{\text{Sum of total speed}}$
= $\frac{100x}{\frac{100x\times40\%}{40}+\frac{100x\times50\%}{25}+\frac{100x\times10\%}{10}}$

Correct Answer: Hakim Ajmal Khan

Solution : The correct answer is Hakim Ajmal Khan.

Hakim Ajmal Khan, who was born in 1868, founded the renowned Jamia Millia Islamia in Delhi as well as his own Tibbiya, or Medical College. Ajmal Khan, also known as Hakim Ajmal Khan, was a