Correct Answer: $1 + \cot A \tan B$

Solution : $\frac{\sin (A+B)}{\sin A \cos B}$
= $\frac{\sin A \cos B + \cos A \sin B}{\sin A \cos B}$
= $1+ \cot A \tan B$
Hence, the correct answer is $1+ \cot A \tan B$.

Correct Answer: Pandanallur style

Solution : The correct option is the Pandanallur style.

Alarmel Valli is associated with the Pandanallur style of Bharatanatyam. Pandanallur is a village in the Thanjavur district of Tamil Nadu, India, and it is renowned for its contribution to the classical dance form of Bharatanatyam.

Correct Answer: infinitly

Solution : The misspelt word is the fourth option.

Explanation: The correct spelling is infinitely. The misspelt option has a vowel e missing in it. The correct form of the adverb is formed by adding -ly to the adjective infinite. Spelling errors like this

Correct Answer: Charles Canning

Solution : The correct option is Charles Canning.

In 1856, Governor-General Charles Canning decided that Bahadur Shah Zafar, the Mughal emperor, would be the last to hold the title of king. After his death, his descendants would only be recognised as princes, not as kings. This

Correct Answer: 32,00,000

Solution : Given,
The total production is 40 lakhs during 2019 and 65 lakhs in 2020.
Total production of model A mobiles in 2020 = 40% of 65 lakhs = $\frac{40}{100}\times 65$ = 26 lakhs
Total production of model E mobiles in 2019 = (90% – 75%)

Correct Answer: USTIH

Solution : Given:
BLOCK is coded as LBCON, and CABIN is coded as ACIBQ. 

Add 3 to the place value of the last letter and interchange the position of the first and second letters and third and fourth letters of the word BLOCK –

Thus, BLOCK is

Correct Answer: Swami Haridas

Solution : The correct answer is Swami Haridas.

Swami Haridas was the teacher of the famous musician Tansen. Tansen, a Hindustani classical musician, was one of the nine gems in the court of the Mughal Emperor Akbar. Swami Haridas was a spiritual poet and classical

Correct Answer: Reasonable

Solution : The correct choice is the fourth option.

Reasonable and justifiable—both of the words convey the idea that something is based on sound logic, fairness, or acceptable grounds.

The meanings of the other options are as follows:

• Indefensible refers to something that cannot be

Correct Answer: Rs. 24600

Solution : Let the man's monthly salary as S. 
According to the problem, he spends 72% of his salary and saves the rest.
⇒ S – 0.72S = 5740
⇒ 0.28S = 5740
⇒ S = $\frac{5740}{0.28}$ = Rs. 20500
Then, 10% of his annual salary

Correct Answer: Diksha Dagar

Solution : The correct option is Diksha Dagar

Diksha Dagar became the youngest Indian woman to win a Ladies European Tour (LET) title. She achieved this milestone in November 2019 when she won the South African Women's Open. Diksha Dagar is a promising Indian golfer, and