Correct Answer: Both Afghanistan and Pakistan

Solution : The correct option is Both Afghanistan and Pakistan.

A pipeline called Turkmenistan-Afghanistan-Pakistan-India (TAPI) proposes to carry gas from Turkmenistan to Afghanistan, Pakistan and then India. Starting in Turkmenistan's Galkynysh gas field, it will go across Pakistan and Afghanistan before arriving in the Indian town of Fazilka (close to the Indo-Pak border).

Correct Answer: USA

Solution : The correct answer is USA.

The United States of America is where the idea of judicial review originated. Through judicial review, the judiciary can determine whether a piece of legislation is constitutional and overturn any law that violates the fundamental principles of the Constitution. It is a characteristic of the federal form of government and the independent judiciary.

Correct Answer: $6+\sqrt{161}$

Solution :
Let PQ be a common chord. O and O' are the centres of the two circles such that
OP = 15 cm, O'P = 10 cm, and PQ = 16 cm
OO' perpendicularly bisects PQ at L. 
So, PL = $\frac{1}{2}$ × PQ = $\frac{16}{2}$ = 8 cm
In $\triangle$ OLP, OP is hypotenuse
So, OP² = OL² + PL²
⇒ OL = $\sqrt{OP^{2} - PL^{2}}$
= $\sqrt{15^{2} - 8^{2}}$
= $\sqrt{161}$ cm
Similarly, in $\triangle$ O'LP, O'P is hypotenuse
So, O'P² = O'L² + PL²
⇒ O'L = $\sqrt{O'P^{2} - PL^{2}}$
= $\sqrt{10^{2} - 8^{2}}$
= $\sqrt{36}$
= 6 cm
So, OO' = O'L + OL
= 6 + $\sqrt{161}$
Hence, the correct answer is $6 + \sqrt{161}$.

Correct Answer: Mirth

Solution : Let's check each option –
First option: Sad; Feeling or showing sorrow; unhappy.
Second option: Desolate; Feeling or showing great unhappiness or loneliness.
Third option: Morose; Sullen and ill-tempered.
Fourth option: Mirth; Amusement, especially as expressed in laughter.

Therefore, only the fourth option is different from others as it is an antonym for words given other options.  Hence, the fourth option is correct.

Correct Answer: BETRAY

Solution : Given:
DELIBERATE

Now, let's compare all the option words with the word DELIBERATE –
First option: DILATE; All the letters of DILATE are present in the word DELIBERATE.
Second option: TAIL; All the letters of TAIL are present in the word DELIBERATE.
Third option: BETRAY; Y is not present in the word DELIBERATE. Therefore, all the letters of BETRAY are not present in the word DELIBERATE.
Fourth option: ELATED; All the letters of ELATED are present in the word DELIBERATE.

So, BETRAY cannot be formed with the help of the letters of the word DELIBERATE. Hence, the third option is correct.

Correct Answer: Macroeconomic Framework Statement

Solution : The correct option is the Macroeconomic Framework Statement.

The Macroeconomic Framework Statement is a key component of the budgetary process in many countries. It is a document that outlines the macroeconomic assumptions, targets and policies that form the basis for the government's budget. The purpose of this statement is to provide a broader economic context for the budget and to explain the underlying macroeconomic considerations that influence fiscal policy.

Correct Answer: Kerala

Solution : The correct answer is Kerala.

Thiruvathira is a cultural festival of Kerala State, and it is a dance form in which the clapping of hands is performed by women dancers. It is performed on the auspicious day of Thiruvathira, considered the birthday of Lord Shiva. It is celebrated in December and January.

Correct Answer: India

Solution : The correct option is India.

The 2023 Men's FIH Hockey World Cup marked the 15th edition of the prestigious men's national field hockey, organised by the International Hockey Federation (FIH) on a quadrennial basis. This global sporting event took place in Odisha, India, from January 13 to January 29, 2023. Sixteen teams from around the world competed for the coveted title. The announcement of the host country for the 2023 Men's Hockey World Cup was made in November 2019, with India confirmed as the host nation.

Correct Answer: sulphur

Solution : The correct option is sulphur.

By adding sulphur, a chemical process known as vulcanisation transforms rubber or other similar polymers into stronger materials. Through the creation of crosslinks (bridges) between different polymer chains, these additives alter the polymer. Materials that have been vulcanised are less sticky and have better mechanical qualities.

Correct Answer: with

Solution : The second option is the correct answer.

Since "grapple with" means to struggle to overcome a challenging situation, it fits perfectly in the sentence. The sentence conveys the meaning that one should confront and overcome all difficult situations and dangers.

Therefore, the complete sentence is: One should grapple with all the dangers.