Correct Answer: aptitude for

Solution : The most appropriate option to substitute the underlined segment is the first option.

For is the correct preposition to use with "aptitude" when referring to a skill or talent in a particular field or activity.

Therefore, the correct sentence is, "The young boy displayed an aptitude for scientific research."

Correct Answer: 100489

Solution : The least six-digit number is 100000.
Using the long division method to find its square root, we see that it is not a perfect square.
⇒ (316)² = (100000 – 144) = 99856, a 5-digit number.
But (317)² = 100489, a 6-digit number.
Therefore, the smallest six-digit number which is also a perfect square is 100489.
Hence, the correct answer is 100489.

Correct Answer: BACD

Solution : The third option is the correct choice.

Firstly, sentence B sets the stage by introducing Alessandro, his age, and his activity of wandering among the bushes. Sentence A details Alessandro's encounter with the bear, emphasising his knowledge of how to handle the situation. Sentence C describes Alessandro's mother's reaction and the boy's response to maintain silence, creating tension in the narrative. Finally, sentence D concludes the sequence by explaining the outcome—once Alessandro safely enters his house, the bear stops following him, resolving the potential threat.

Correct Answer: vilest

Solution : The correct choice is the fourth option.

In the given sentence, the word vile is an adjective. A superlative degree is always preceded by the article the. As the blank is preceded by the, the word that must fit the blank should be a superlative degree adjective. Among the given options, vilest is a superlative-degree adjective.

Correct Answer: A and B only

Solution : The correct answer is A and B only.

The Governor and the Council of Ministers, which the Chief Minister leads, comprise the state executive.

• Following Article 152 of the Indian Constitution, Jammu and Kashmir are not considered to be states to appoint governors.
• The appointment of the same individual to serve as governor of two or more states was encouraged by the 7th Constitutional Amendment Act of 1956. It is related to the reorganization of states.
• The Governor should carry out his duties with the assistance and advice of the state's Council of Ministers, according to Article 163 of the Indian Constitution, unless he is required to do so at his discretion.

Correct Answer: NITI Aayog

Solution : The correct answer is NITI Aayog.

Established in 2015 by the NDA government, NITI Aayog replaced the Planning Commission. The NITI Aayog council includes all state chief ministers, Chief Ministers of Delhi and Puducherry, Lieutenant Governors of Union Territories and a vice-chairman appointed by the prime minister. NITI Aayog is an abbreviated form for National Institution for Transforming India and acts as the primary public policy think tank for the Indian government. Its role involves driving economic development, promoting cooperative federalism and shifting from bargaining federalism by engaging state governments in the economic policy-making process, employing a bottom-up approach.

Correct Answer: 220030

Solution : Given: Divisor = 555 + 445 = 1000; Quotient = 2(555 – 445) = 220; Remainder = 30
We know, Dividend = (Divisor × Quotient) + Remainder
⇒ Dividend = (1000 × 220) + 30
$\therefore$ Dividend = 220030
Hence, the correct answer is 220030.

Correct Answer: (26, 5, 132)

Solution : Given:
(16, 7, 112)

Here, (16, 7, 112)→16 × 7 = 112

Let's check the options –
First option: (18, 3, 54)→18 × 3 = 54
Second option: (14, 5, 70)→14 × 5 = 70
Third option: (22, 7, 154)→22 × 7 = 154
Fourth option: (26, 5, 132)→26 × 5 = 130 ≠ 132

So, only the fourth option does not follow the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.

Correct Answer: Funny

Solution : The correct choice is the third option.

The word hysterical means "extremely funny" or "hilarious". It describes Rahul's childhood stories as highly amusing or causing a lot of laughter.

The meanings of the other words are as follows:

• Emotional: This means connected with strong feelings
• Scary: It means something frightening.
• Dangerous: It means something that is likely to cause injury or damage.

Correct Answer: 8

Solution : Let the total time taken by them be $x$ days.
Now,
LCM of 12, 20, and 24 = 120 i.e., total work
So, efficiency of Aarif = $\frac{120}{12}$ = 10
Efficiency of Arun = $\frac{120}{20}$ = 6
Efficiency of Abraham = $\frac{120}{24}$ = 5
According to the question,
$x\times 10 + (x - 3) \times 6 + (x - 6) \times 5 = 120$
⇒ $10x + 6x - 18 + 5x - 30 = 120$
⇒ $21x = 120 + 48$
⇒ $21x = 168$
⇒ $x = 8$
Hence, the correct answer is 8.