Correct Answer: Arunachal Pradesh

Solution : The correct option is Arunachal Pradesh.

The McMahon Line is a demarcation line that separates the Indian state of Arunachal Pradesh from the Tibet Autonomous Region of China. It is named after Sir Henry McMahon, a British colonial administrator who proposed this line as

Correct Answer: $\pm \sqrt{a^{2}+b^{2}-c^{2}}$

Solution : Given $a\sin\theta+b\cos\theta=c$
Squaring both sides, we get:
$(a\sin\theta+b\cos\theta)^2=c^2$
⇒ $a^2\sin^2\theta+b^2\cos^2\theta+2ab\sin\theta\cos\theta=c^2$
⇒ $a^2(1-\cos^2\theta)+b^2(1-\sin^2\theta)+2ab\sin\theta\cos\theta=c^2$
⇒ $a^2-a^2\cos^2\theta+b^2-b^2\sin^2\theta+2ab\sin\theta\cos\theta=c^2$
⇒ $-a^2\cos^2\theta-b^2\sin^2\theta+2ab\sin\theta\cos\theta=c^2-a^2-b^2$
⇒ $-(a^2\cos^2\theta+b^2\sin^2\theta-2ab\sin\theta\cos\theta)=-(-c^2+a^2+b^2)$
⇒ $(a\cos\theta-b\sin\theta)^2=(-c^2+a^2+b^2)$
⇒ $(a\cos\theta-b\sin\theta)=\pm\sqrt{a^2+b^2-c^2}$
Hence, the correct answer is $\pm\sqrt{a^2+b^2-c^2}$.

Correct Answer: 1944

Solution : The correct option is 1944.

On July 6, 1944, Bose delivered a radio broadcast from Singapore. In this, he referred to Mahatma Gandhi as the Father of the Nation. This title was significant because it was a term of great respect and endearment, and

Correct Answer: Usually, Ratheesh hasn’t

Solution : The correct choice is the fourth option.

Explanation: Here, usually, Ratheesh doesn't should be used instead of usually, Ratheesh hasn't.
The word "hasn't" is a contraction of "has not", which is present perfect tense. However, in the sentence, we need to use

Correct Answer: 142

Solution : $\tan \theta+\cot \theta=12$
Squaring on both sides,
⇒ $(\tan \theta+\cot \theta)^2=12^2$
⇒ $\tan^2 \theta+\cot^2 \theta + 2\tan \theta\cot \theta=144$
⇒ $\tan^2 \theta+\cot^2 \theta = 144-2= 142$
Hence, the correct answer is 142.

Correct Answer: TSR : WVU

Solution : Given:
FED : IHG :: ? : ?

Add 3 to the place value of FED to obtain the required code –
F + 3 = I; E + 3 = H; D + 3 = G
Thus, FED is coded as IHG.

Correct Answer: SXODVQHSDQ

Solution : Given:
PLAYGROUND is written as OKZXFQNTMC, and SCIENCE is written as RBHDMBD.

Subtract 1 from the place value of each letter of PLAYGROUND and SCIENCE to get their codes.
PLAYGROUND→P – 1 = O; L – 1 = K; A – 1 = Z; Y

Correct Answer: (9, 10, 180)

Solution : Given:
(7, 4, 56); (8, 3, 48)

Here, (7, 4, 56)→(7 × 4) × 2 = 28 × 2 = 56
(8, 3, 48)→(8 × 3) × 2 = 24 × 2 = 48

Let's check the options –
First option: (90, 3,

Correct Answer: Mother Teresa

Solution : The correct option is - Mother Teresa.

Mother Teresa, a Catholic nun of Albanian and Indian descent, founded the Missionaries of Charity. She was born in Skopje, which was a part of the Ottoman Empire at the time, and at the age of 18

Correct Answer: All of the above

Solution : Correct Answer is All of the above 

A one-way payment made to a person or organization without any exchange of goods or services is known as a transfer payment. Unlike a simple "payment," which in economics refers to a money transfer in