It's a Question of your Career!

Correct Answer: Saudi Arabia

Solution : The correct answer is Saudi Arabia.

Saudi Arabia is the greatest producer of desalinated sea water in the world. It contributes about 38% of global output. Saudi Arabia has a little freshwater supply and an extremely arid climate. In order to satisfy its water

Correct Answer: $\frac{(x^{64}-\frac{1}{x^{64}})}{(x^2+\frac{1}{x^2})}$

Solution : Given:
$(x^{32}+\frac{1}{x^{32}})(x^{8}+\frac{1}{x^{8}})(x-\frac{1}{x})(x^{16}+\frac{1}{x^{16}})(x+\frac{1}{x})(x^{4}+\frac{1}{x^{4}})$
$=(x^{32}+\frac{1}{x^{32}})(x^{8}+\frac{1}{x^{8}})(x^2-\frac{1}{x^2})(x^{16}+\frac{1}{x^{16}})(x^{4}+\frac{1}{x^{4}})$
Multiplying it by $\frac{(x^2+\frac{1}{x^2})}{(x^2+\frac{1}{x^2})}$, we get,
$= \frac{(x^2+\frac{1}{x^2})}{(x^2+\frac{1}{x^2})}×(x^{32}+\frac{1}{x^{32}})(x^{8}+\frac{1}{x^{8}})(x^2-\frac{1}{x^2})(x^{16}+\frac{1}{x^{16}})(x^{4}+\frac{1}{x^{4}})$
$= \frac{1}{(x^2+\frac{1}{x^2})}×(x^{32}+\frac{1}{x^{32}})(x^{8}+\frac{1}{x^{8}})(x^{16}+\frac{1}{x^{16}})(x^{4}+\frac{1}{x^{4}})(x^{4}-\frac{1}{x^{4}})$
$= \frac{1}{(x^2+\frac{1}{x^2})}×(x^{32}+\frac{1}{x^{32}})(x^{8}+\frac{1}{x^{8}})(x^{16}+\frac{1}{x^{16}})(x^{8}-\frac{1}{x^{8}})$
$= \frac{1}{(x^2+\frac{1}{x^2})}×(x^{32}+\frac{1}{x^{32}})(x^{16}+\frac{1}{x^{16}})(x^{16}-\frac{1}{x^{16}})$
$= \frac{1}{(x^2+\frac{1}{x^2})}×(x^{32}+\frac{1}{x^{32}})(x^{32}-\frac{1}{x^{32}})$
$= \frac{1}{(x^2+\frac{1}{x^2})}×(x^{64}-\frac{1}{x^{64}})$
$= \frac{(x^{64}-\frac{1}{x^{64}})}{(x^2+\frac{1}{x^2})}$
Hence, the correct answer is $\frac{(x^{64}-\frac{1}{x^{64}})}{(x^2+\frac{1}{x^2})}$.

Correct Answer: SG20

Solution : Given:
GB13 is related to HD17 and DK18 is related to EM22.

Add 1 and 2 to the place value of the first and second letters respectively, and 4 to the number of GB13 and DK18 to obtain the required codes –
GB13→G + 1

Correct Answer: Uttarakhand

Solution : The correct option is Uttarakhand.

The Uttarakhand state's Nainital district is home to Jim Corbett National Park. As India's first national park, it was created in 1936 under British control. It was renamed Corbett National Park in 1956 in honour of Jim Corbett, a hunter-turned-naturalist

Correct Answer: 7,400

Solution : Amount invested by A = INR 92,500
Amount invested by B = INR 1,12,500
B's share in profit = INR 9,000
Let the profit earned by A be INR $x$.
According to the question,
$(\frac{92500}{112500}) = (\frac{x}{9000})$
⇒ $x = \frac{(92500 × 9000)}{112500}$
⇒ $x

Correct Answer: 131

Solution : Given:
46, 63, 80, 97, 114, ?

The pattern is as follows –
46 + 17 = 63; 63 + 17 = 80; 80 + 17 = 97; 97 + 17 = 114; 114 + 17 = 131

So, the missing number of the series

Correct Answer: Disipline

Solution : The correct choice is the second option.

The misspelt word among the options provided is "disipline", which should be spelt as discipline. The reason for the incorrect spelling is that it does not contain the letter "c", and it refers to a code

Correct Answer: avail this opportunity

Solution : The error lies in the third option.

The verb avail typically needs an object and should be followed by the reflexive pronoun yourself or another object, followed by the preposition of. 

.Therefore, the correct sentence is, "You should avail yourself of

Correct Answer: Expense

Solution : The correct choice is the fourth option.

Profit means the amount of money gained from a business activity after subtracting all expenses, whereas expense means the costs incurred during business operations that reduce overall profit. So, in this case, expense is the opposite of

Correct Answer: $\operatorname{cosec}^2 A+\cot A$

Solution : Given:
$\frac{\cot^3A–1}{\cot A–1}$
= $\frac{(\cot A–1)(\cot^2A+\cot A+1)}{(\cot A–1)}$
= $\cot^2A+\cot A+1$
= $\operatorname{cosec^2}A+\cot A$
Hence, the correct answer is $\operatorname{cosec}^2 A+\cot A$.