Correct Answer: GKLP

Solution : Given:

AEFJ : KOPT :: ? : QUVZ

A + 4 = E; E + 1 = F; F + 4 = J.

K + 4 = O; O + 1 = P; P + 4 = T.

Similarly,

G + 4 = K; K + 1 = L; L + 4 = P.

Q + 4 = U; U + 1 = V; V + 4 = Z.

The answer is AEFJ : KOPT :: GKLP : QUVZ.

Hence, third option is correct.

Correct Answer: chachar

Solution : The correct option is chachar.

During the reign of Akbar, the land that had lain fallow for three or four years was known as "chachar". Fallow land was often subject to revenue exemptions or reductions as an incentive for farmers to bring it back into cultivation. This practice was part of Akbar's agrarian reforms, aimed at increasing agricultural productivity and revenue collection in the Mughal Empire.

Correct Answer: 9

Solution : Given:
BENT is coded as 3198, and DEBT is coded as 8316.

Compare both the given words, BENT, and DEBT. In both the words, (B, E, T) are the common letters, and in their codes (1, 3, 8) are the common digits.
So, in the word BENT, N is the remaining letter and in its code 9 is the remaining digit.
Similarly, in the word DEBT, D is the remaining letter and in its code 6 is the remaining digit.

So, N is coded as 9. Hence, the second option is correct.

Correct Answer: $\frac{1125 \times 3^8}{8^{10}}$

Solution : Probability of hitting = $\frac{5}{8}$
Probability of losing = $\frac{3}{8}$
Probability of hitting twice when 10 shots are fired
= ¹⁰C₂$(\frac{5}{8})^2(\frac{3}{8})^8$
= $\frac{10×9×5×5}{1×2}$× $\frac{ 3^8}{8^{10}}$
= $\frac{1125 ×3^8}{8^{10}}$
Hence, the correct answer is $\frac{1125 ×3^8}{8^{10}}$.

Correct Answer: DACB

Solution : The correct choice is the third option.

The paragraph starts with sentence D, which provides the initial context, introducing the king and the setting, followed by sentence A, which adds information about the king's behaviour and rule, emphasising his care for his subjects and their happiness, followed by sentence C, which introduces an action taken by the king that is sending spies into the kingdom to gather information about the condition of his people, and lastly, sentence B, which adds another action taken by the king that is going amongst the people in disguise to personally observe and learn about their actual state.

Correct Answer: Only conclusion III follows

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): All P is T – From the Venn diagram, it is evident that there is no direct relation between P and T. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion (II): All T are K – From the Venn diagram, it is evident that there is a negative relation between T and K. So, this conclusion does not follow.
Conclusion (III): Some P are not T – From the Venn diagram, it is evident that the circles representing P and K overlap and have a part of their area in common. So, it can be concluded that some P that are K are not T.

So, the only conclusion III follows. Hence, the second option is correct.

Correct Answer: serve

Solution : The right option is the first option.

The word serve here means to be in the service of or to fulfil a role or purpose.

In this context, the speaker is stating that there are certain things they won't assist or support. The sentence suggests a refusal to be involved in a particular capacity or to help in certain situations.

Hence, the complete sentence would be: "I will not serve that in which I no longer believe."

Correct Answer: $0$

Solution : Given: $\frac{(5x\:-\:y)}{(5x\:+\:y)}=\frac{3}{7}$
$⇒35x-7y=15x+3y$
$⇒20x-10y=0$
$⇒2x-y=0$---------------(i)
$\frac{(4x^{2}\:+\:y^{2}\:-\:4xy)}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}$
= $\frac{(2x\:-\:y)^{2}}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}$
Since from equation (i), we know $2x-y=0$, substituting the value in the above equation, we get,
$=\frac{0}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}=$ 0
Hence, the correct answer is $0$.

Correct Answer: 60 dB to 80 dB  (decibel)

Solution : The correct option is 60 dB to 80 dB  (decibel).

A human's normal sound tolerance level is between 60 and 80 decibels (dB). Sounds exceeding 80 dB are potentially dangerous and can cause hearing damage or pain, especially if exposed for an extended period of time. In loud surroundings, protective measures such as earplugs or earmuffs are suggested to avoid hearing impairment.
 

Correct Answer: Grand trunk road

Solution : The correct option is Grand Trunk Road.

We refer to the ancient route Sher Shah Suri constructed as the "Grand Trunk Road." It is also known as the "G.T. Road" and is among the Indian subcontinent's oldest and longest road networks.