Correct Answer: HP

Solution : Given:
DH, EJ, FL, GN, ?

In the above-given series, add 1 and 2 to the place values of the first and second letters of the letter clusters.
DH→D + 1 = E; H + 2 = J
EJ→E + 1 = F; J + 2 = L
FL→F + 1 = G; L + 2 = N
GN→G + 1 = H; N + 2 = P

So, HP is the missing term of the series. Hence, the fourth option is correct.

Correct Answer: 343

Solution : Given:
7 : 125 :: 8 : 216 :: 9 : ?

Subtract 2 from the first number, and then find the cube of the resultant, to get the second number –
Like, 7 : 125→7 – 2 = 5; (5)³ = 125
And, 8 : 216→8 – 2 = 6; (6)³ = 216
Similarly, follow the same pattern for, 9 : ?→9 – 2 = 7; (7)³ = 343

So, 343 is related to 9. Hence, the third option is correct.

Correct Answer: 300

Solution : Given: The ratio of P, Q, and R is 2 : 5 : 7 respectively.
Their sum is 840.
Let the required number be $2x$, $5x$ and $7x$ respectively.
According to the question,
⇒ $2x+5x+7x=840$
⇒ $14x=840$
⇒ $x=60$
The difference between P and R $=7x-2x=5x=5\times 60=300$
Hence, the correct answer is 300.

Correct Answer: 121

Solution : Given:
100, 105, 92, 113, 84, ?

In the above-given series, add and subtract alternately, the natural numbers with the difference of 8 to the numbers.
100 + 5 = 105;
105 – (5 + 8) = 105 – 13 = 92; 
92 + (13 + 8) = 92 + 21 = 113;
113 – (21 + 8) = 113 – 29 = 84;
84 + (29 + 8) = 84 + 37 = 121

So, 121 is the missing number. Hence, the third option is correct.

Correct Answer: Operating system

Solution :  The correct answer is the Operating system.

Booting is the initial process that initiates the operating system of a computer upon powering it up. This involves loading the operating system into the computer's primary memory, known as Random Access Memory (RAM).

Correct Answer: formed, they eventually becomes

Solution : The error lies in the first option.

• The part of the given sentence that has an error is becomes. The correct form should be become. 
• The subject mountains are plural, so the verb become should also be in the plural form to agree with the subject.

Therefore, the correct sentence should be: "No matter how mountains are formed, they eventually become too heavy and succumb to gravity."

Correct Answer: filled with

Solution : The first option is correct.

• The sentence is in the passive voice.
• So, the verb fill needs to be in the past participle form to match the past tense of the sentence.
• The correct form of the past participle of fill is filled.
• Filled with indicates that the loft is now full of hay for the winter.

Therefore, the correct sentence would be: The loft is filled with hay for the winter.

Correct Answer: shaped

Solution : The second option is the correct answer.

In this sentence, "shaped" is used to convey the idea that the role of the world has influenced and moulded us into who we are. The word "shaped" suggests a significant impact and influence on our development and personality.

Therefore, the correct answer is shaped.

Correct Answer: Sanchi

Solution : The correct answer is Sanchi.

Sanchi is a famous Buddhist site and has several stupas and monasteries. It does not have any rock edicts of Ashoka. The inscriptions of Ashoka are found in Girnar, Kandahar, Kalsi etc. Ashoka is popularly known as "Ashoka The Great" and was the third king of the Mauryan dynasty. He became non-violent after the Kalinga war in 261 BC.

Correct Answer: slept

Solution : The correct choice will be the fourth option.

In the sentence, the word slept is the most appropriate choice. It indicates the action of sleeping and fits the context of describing Akbar's sleeping habits.

The meaning of the other options is as follows:

• Sleeps: It is in the present tense, which is not suitable for describing Akbar's past sleeping habits.
• Is sleeping: It is also in the present tense and does not convey the past habitual action mentioned in the sentence.
• Had slept: It is in the past perfect tense and does not fit the sentence's structure, as there is no indication of a past action that occurred before another past action.

Therefore, the correct sentence is, "It was said of Akbar that he rarely slept more than three hours a day".