Correct Answer: 286 cm^2,

Solution : The total surface area $A$ of a cuboid, where $l$ is the length, $b$ is the breadth, and $h$ is the height of the cuboid.
$A = 2(lb + bh + hl)$
Substituting $l$ = 7 cm, $b$ = 5 cm, and $h$ = 9 cm into the formula,
$A = 2(7 \times 5 + 5 \times 9 + 7 \times 9) = 2(35 + 45 + 63) = 2 \times 143 = 286 \, \text{cm}^2$
Hence, the correct answer is 286 cm².

Correct Answer: gullible

Solution : The correct choice is the fourth option.

Explanation: Gullible refers to someone who is easily tricked or manipulated, often due to being too trusting or naive.

The meanings of the other options are as follows:

• Plausible means seemingly reasonable or credible, but not necessarily true.
• Agreeable means willing to agree or please others.
• Credible means someone who is able to be believed or trusted.

Therefore, the correct answer is gullible.

Correct Answer: the calm before the storm

Solution : The correct choice is the third option.

The calm before the storm is an idiomatic expression that means a period of unusual peace or stability usually followed by turbulence or difficulty. This helps convey the intended meaning that the speaker was enjoying a cup of coffee sitting in a family meeting just before the turbulent time that would follow when the property dispute would be discussed.

The meanings of the other options are as follows:

• Better off means to be in a better position.
• Corridors of power mean the higher level of government where the most important decisions are made.
• The bottom line means the most important part.

Therefore, the complete sentence is, "The family's meeting on property dispute begins today and I'm just sitting down with a cup of coffee, enjoying the calm before the storm".

Correct Answer: 12500

Solution : Let the radius and diameter be $r$ and D, respectively.
The distance covered in 1 revolution = 2$\pi r$ = $\pi$D = $\frac{22}{7}$ × 14 = 44 cm = 0.44 m
Total distance covered in the journey = Speed × Time = 11 × ($\frac{30}{60}$) = 5.5 km = 5500 m
Total number of revolution = $\frac{5500}{0.44}$ = 12500
Hence, the correct answer is 12500.

Correct Answer: (19, 216, 25)

Solution : Given:
(12, 125, 17); ( 8, 27, 11)

Subtract the first number from the third number, and then cube the resultant, to get the second number –
⇒ (12, 125, 17)→(17 – 12)³ = 5³ = 125
⇒ (8, 27, 11)→(11 – 8)³ = 3³ = 27

Let's check each option –
First option: (11, 32, 15)→(15 – 11)³ = 4³ = 64 ≠ 32
Second option: (19, 216, 25)→(25 – 19)³ = 6³ = 216
Third option: (17, 16, 19)→(19 – 17)³ = 2³ = 8 ≠ 16
Fourth option: (9, 216, 16)→(16 – 9)³ = 7³ = 343 ≠ 216

So, only the second option follows the same pattern as the given set of numbers. Hence, the second option is correct.

Correct Answer: 21

Solution : 508 + $x$ = perfect square
The perfect square nearest to 508 is 529 = 23²
$\therefore x$ = 529 – 508 = 21
Hence, the correct answer is 21.

Correct Answer: Himshikha

Solution : The correct option is Himshikha.

The Himalayan mountain system, in its longitudinal extension, is characterised by three parallel ranges. The northernmost and highest range is known as the Himadri, or the Great Himalaya Range, which boasts some of the world's loftiest peaks, including Mount Everest. This range is characterised by lower peaks compared to the Himadri. The southernmost range, the Shivalik Range, forms the outermost boundary of the Himalayas. It is typified by foothills and is geologically younger than the other two ranges.

Correct Answer: Andhra Pradesh

Solution : The correct option is Andhra Pradesh.

Kuchipudi is a dance-drama performance that has its origins in the Natya Shastra, an old Hindu Sanskrit scripture. It is from the Andhra Pradesh state of India, specifically from the Kuchipudi village. The flute, violin, tambura, mridangam and cymbals are among the musical instruments utilized in Kuchipudi.

Correct Answer: 3

Solution : The correct answer is the third option.

"Go on a rampage" means to rush around in a violent way, causing destruction, which fits into the context.

The option "over the rampage" does not exist and is incorrect. "With the rampage" does not go contextually with the sentence.

Therefore, the correct statement should be: "College students went on a rampage in the city yesterday."

Correct Answer: E

Solution : Given:
(I) A, E, I, O, and U are sitting in a row facing north.

(II) O is sitting next to E and U. A is sitting next to I who is sitting at the extreme left. U is NOT sitting next to A.
 

So, E is in the middle. Hence, the third option is correct.