Correct Answer: 137

Solution : Given:
28 D 6 S 34 M 2 A 8 D 6 = ?

After replacing the letters with mathematical signs, the equation becomes –
= 28 × 6 + 34 ÷ 2 – 8 × 6 
= 28 × 6 + 17 – 8

Correct Answer: 844

Solution : Given:
1. birds are flying ⇒ 536
2. the nest is big ⇒ 3423
3. close the door ⇒ 534

Count the number of letters in birds are flying to obtain the required code –
birds→5, are→3, flying→6
Thus, birds are flying is coded as

Correct Answer: $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$

Solution : The formula of $\sin α - \sin β$ is given by $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$.
Hence, the correct answer is $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$.

Correct Answer: Tripura

Solution : The correct option is Tripura.

A unique programme called "Mukhyamantri Chaa Srami Kalyan Prakalpa" has been announced by the state government of Tripura to guarantee the social security of over 7,000 tea garden labourers.

Correct Answer: Quiet

Solution : Given:
Dark : Light :: Noise : ?

Like, dark and light are antonyms.
Similarly, noise is the antonym of quiet.

Hence, the second option is correct.

Correct Answer: 26.56% profit

Solution : Cost price of one banana = $\frac{8}{9}$
Selling price of one banana = $\frac{9}{8}$
Profit = Selling price – Cost price = $\frac{9}{8}$–$\frac{8}{9}$ = $\frac{17}{72}$
Profit% = $\frac{\frac{17}{72}×100}{\frac{8}{9}}$ = $\frac{17×100×9}{72×8}$ = 26.56%
Hence, the correct answer is 26.56% profit.

Correct Answer: Bangladesh

Solution : The correct answer is Bangladesh.

India helped Bangladesh in its war for independence in 1971. As a friendly South Asian neighbour, India was the first to recognise Bangladesh as a separate and sovereign state. India also quickly established diplomatic ties with Bangladesh by declaration

Correct Answer:

Solution : The correct answer is gravity.

Earth has atmosphere because it has gravity which keeps all the gases, water vapours and other mass carrying materials attached to the earth's crust. While air pressure is directly related to gravity on earth i.e. more the height less would be

Correct Answer: (3)

Solution : The correct answer is the third option.

In this sentence, the word "of" is incorrect. It should be replaced with the preposition that means away from or diverted from. The correct preposition is off in this context, which means to divert one's attention away from

Correct Answer: 76

Solution : Given: $x+\frac{1}{x}=2 \sqrt{5}$
⇒ $(x+\frac{1}{x})^2=(2 \sqrt{5})^2$
⇒ $x^2+\frac{1}{x^2}+2=20$
⇒ $x^2+\frac{1}{x^2}=18$ -------------(i)
⇒ $x^2+\frac{1}{x^2}-2=18-2=16$
⇒ $(x-\frac{1}{x})^2=(4)^2$
⇒ $x-\frac{1}{x}=4$ -------------(ii)
So, $x^3-\frac{1}{x^3}$ = $(x-\frac{1}{x})(x^2+\frac{1}{x^2}+x×\frac{1}{x})$
= 4 × (18 + 1)
= 76
Hence, the correct answer is 76.