Correct Answer: 14

Solution : Given:
PINK is coded as 25, and HEAR is coded as 16. 

The sum of the positional values of the alphabet is divided by 2 to obtain the required code.
PINK→16 + 9 + 14 + 11 = 50; 50 ÷ 2 = 25
Thus, PINK is coded as 25.
HEAR→8 + 5 + 1 + 18 = 32; 32 ÷ 2 = 18
Thus, HEAR is coded as 18.
Similarly, follow the same pattern for FAIL→6 + 1 + 9 + 12 = 28; 28 ÷ 2 = 14

So, FAIL is coded as 14. Hence, the second option is correct.

Correct Answer: 112

Solution :  44 + 67 – 32 ÷ 4 + (9 + 5 + 5 + 4) – 4 × 12 ÷ 6 – 30 ÷ 5
= 111 – 8 + 23 – 4 × 2 – 6
= 111 + 15 – 8 – 6
= 112
Hence, the correct answer is 112.

Correct Answer: during

Solution : The correct choice will be the first option.

The word during is the correct preposition to use in this context. It indicates the time frame when fasting occurs, which is during some festivals.

Therefore, the sentence becomes grammatically correct and conveys the intended meaning with the use of during.

Correct Answer: Robert Hooke

Solution : The correct answer is Robert Hooke.

In 1665, the English scientist Robert Hooke is credited with being the first person to observe cells. He made this groundbreaking discovery while examining thin slices of cork under a microscope. Hooke's observations were documented in his book "Micrographia", where he coined the term "cell" to describe these basic structural units.

Correct Answer: Mahar

Solution : The correct option is Mahar.

Dr. B.R. Ambedkar, also known as Babasaheb Ambedkar, was associated with the Mahar community. He was a prominent leader, a social reformer, and the chief architect of the Indian Constitution. He played a crucial role in advocating for the rights and upliftment of marginalised communities, including the Dalits (formerly referred to as "untouchables"), to which the Mahar community belongs.

Correct Answer: Q

Solution : Given:
(I) Five people P, Q, T, V, and R are sitting in a circle facing away from the centre. P is to the immediate right of V.
(II) T is in between V and R.

According to the given information, the seating arrangement is as follows –

From the above seating arrangement, it is evident that Q is to the immediate left of R. Hence, the fourth option is correct.

Correct Answer: Nalanda University

Solution : The correct answer is Nalanda University.

In the ancient Indian kingdom of Magadha (modern-day Bihar), there stood a great Buddhist monastery known as Nalanda, a famous Mahavihara. The founder of the University of Nalanda was Kumaragupta I.

Correct Answer: 20 metres

Solution : Given: The perimeter of the top of a rectangular table is 56 metres and its area is 192 m².
Use the formulas,
Perimeter = $2(l+b)$
Area = $l\times b$
Length of diagonal = $\sqrt{l^2+b^2}$
Where $l$ and $b$ are length and breadth.
Here, $2(l+b)=56$
⇒ $(l+b)=28$
Also, $lb=192$.
We know the identity, $a^2+b^2=(a+b)^2-2ab$.
⇒ $l^2+b^2=(l+b)^2-2lb$
Substitute the values in the above equation,
⇒ $l^2+b^2=(28)^2–2\times 192$
⇒ $l^2+b^2=784–384=400$
The length of its diagonal = $\sqrt{l^2+b^2}$ = $\sqrt{400}$ = 20 m.
Hence, the correct answer is 20 metres.

Correct Answer: salary of their living

Solution : The correct choice is the third option.

Explanation: In the phrase "salary of their living" the error is with the use of "of" instead of "for". The correct preposition "for" should be used to indicate the purpose for which the salary is used.

Therefore, the correct sentence would be: Both of my parents are dependent on my salary for their living.

Correct Answer: 113

Solution : Given:
× means –; – means ×; + means ÷ and ÷ means +.
(15 – 10) ÷ (130 + 10) × 50 = ?

After replacing the symbols, the equation becomes –
= (15 × 10) + (130 ÷ 10) – 50
= 150 + 13 – 50
= 163 – 50
= 113

So, 113 is the answer to the given equation. Hence, the second option is correct.