Correct Answer:

Solution : When the given folded paper is unfolded, it will look like –

Hence, the first option is correct.

Correct Answer: 35

Solution : Given: HCF of the two numbers = 5
LCM = 175
Let the two numbers be $5x$ and $7x$
We know that,
The product of the two numbers = HCF × LCM
⇒ $5x \times 7x = 5 \times 175$
⇒ $x^2 = \frac{175}{7}$
⇒

Correct Answer: Article 51A (a)

Solution : The correct option is Article 51A (a).

The Fundamental Duty provision that emphasises the need for all Indians to show respect to the Indian National Flag and the Indian National Anthem is outlined in Article 51A(a) of the Indian Constitution. This provision states

Correct Answer: 3

Solution : The error is in part (R) marked by the third option.

Explanation: The correct preposition to use with "personal attention" is "to" as it is a preposition of direction and here, it is used for referring to children. 

So, the correct sentence would be

Correct Answer: Weak excuse

Solution : The third option is correct.

The idiom lame excuse is used to describe an excuse or explanation that is feeble, unconvincing, or lacking in strength. It implies that the excuse is not credible or is insufficient to justify the circumstances.

Correct Answer: 5, 3, 4, 2, 1

Solution : Given:
1. Piquant   2. Pierce   3. Patent   4. Perjury   5. Pasture

Step 1: The first letter of each word is the same, so move on to the next letter.
Step 2: The second letter of each word is: i, i

Correct Answer: be hearing

Solution : The error lies in the third option.

Explanation:
The verb to be is not generally used with the present participle (gerund) form of another verb. In this case, to be hearing is not a grammatically correct construction. The correct structure would use the infinitive

Correct Answer: 3

Solution : The correct answer is the third option.

The sentence should use the past tense because the action happened in the past. So, it should be "caught fire" instead of "catches fire" to maintain proper tense consistency, as per parallelism.

Therefore, the correct statement should be:

Correct Answer: Vishnu

Solution : The correct option is Vishnu.

Mohiniyattam, a classical dance from Kerala, is linked to Lord Vishnu's Mohini avatar. It recounts the Samudra Manthan tale, where Vishnu transformed into Mohini to outsmart demons. The dance, marked by grace and expressive movements, beautifully captures Mohini's allure,

Correct Answer: $2$

Solution : Given: $x+\frac{1}{x}=2$
$x+\frac{1}{x} = 2$
In the above equation, substitute $x = 1$,
$1+\frac{1}{1} = 2$
Then, the value of $x^{7}+\frac{1}{x^{5}}$ is,
$1^{7}+\frac{1}{1^{5}} = 2$
Hence, the correct answer is 2.