Correct Answer: 5 : 9

Solution : The volume of a cone, where $r$ is the radius and $h$ is the height.
$V = \frac{1}{3}\pi r^2 h$
Given that the heights of the cones are in the ratio 1 : 5.
Let the height of the first cone be $h$

Correct Answer: ousted, disastrous

Solution : The correct choice is the second option.

Ousted: To be forcefully removed from a position or place. This is the correct option, as it fits the context of Mr. Naimi being removed from his position as chief secretary.

Disastrous: Causing great damage or suffering;

Correct Answer: They have a shorter shelf-life than natural fats.

Solution : The correct answer is They have a shorter shelf life than natural fats.

The shelf life is longer than that of natural fat. Additionally, consuming trans fats can increase LDL cholesterol and decrease HDL cholesterol. These fats

Correct Answer: Immoral

Solution : The correct answer is the fourth option.

The word "ethical" refers to principles of morality, honesty, and good conduct. The antonym, representing actions or behaviour that go against moral principles, is immoral". "Immoral" indicates a behaviour that is not in line with ethical standards and

Correct Answer: JMDFVR

Solution : Given:
DOUBLE is written as VPEFMC.

Add 1 in the positional value of DOUBLE as shown, to obtain the required code –

Thus, DOUBLE is coded as VPEFMC.
Similarly, by following the same pattern for CLIQUE –

CLIQUE will be coded as JMDFVR. Hence, the 

Correct Answer: 5 and 5

Solution : Any number that has 4 or greater than 4 digits is divisible by 16 if and only if the last 4 digits of the number are divisible by 16.
Last 4 digits = 30M6
$\frac{30M6}{16}$ should be a whole number.
So M =

Correct Answer: 2

Solution : 785$x$3678y is divisible by 72.
⇒ 785$x$3678y is divisible by 8 and 9.
78$y$ is divisible by 8 only when $y$ = 4
So, the number becomes 785$x$36784.
785$x$36784 is divisible by 9 when the sum of digits of the number is divisible by 9.

Correct Answer: 1601

Solution : The correct answer is 1601

The Khandesh sultanate was conquered by Mughal Emperor Akbar in 1601, and Burhanpur was made the capital of Khandesh Subah. The prince chose Burhanpur as his headquarters when Jahangir named his second son Parvez as ruler of the Mughal

Correct Answer: Tear gas

Solution : The correct option is Tear gas.

Chlorine is a prominent component of tear gas, which is normally composed of a variety of chemicals, one of which is chloroacetophenone (CN) or chlorobenzalmalononitrile (CS), both of which decompose and create chlorine gas. Tear gas can

Correct Answer: dignified

Solution : The correct choice is the fourth option.

Ignoble is an adjective that is used to describe someone who lacks honour. It refers to actions or behaviour, considered shameful or not respectable.

Dignified is an adjective that is used to describe someone who possesses a