It's a Question of your Career!

Correct Answer: $2$

Solution : Given expression,
$\left(2 \cos ^2 \theta-1\right)\left[\frac{1+\tan \theta}{1-\tan \theta}+\frac{1-\tan \theta}{1+\tan \theta}\right]$
We know, $\tan\theta=\frac{\sin\theta}{\cos\theta}$
= $(2\cos^2\theta-(\sin^2\theta+\cos^2\theta))\left[\frac{1+\frac{\sin\theta}{\cos\theta}}{1-\frac{\sin\theta}{\cos\theta}}+\frac{1-\frac{\sin\theta}{\cos\theta}}{1+\frac{\sin\theta}{\cos\theta}}\right]$
= $(2\cos^2\theta-\sin^2\theta-\cos^2\theta))\left[\frac{\cos\theta+\sin\theta}{\cos\theta-\sin\theta}+\frac{\cos\theta-\sin\theta}{\cos\theta+\sin\theta}\right]$
= $(\cos^2\theta-\sin^2\theta)\left[\frac{(\cos\theta+\sin\theta)^2+(\cos\theta-\sin\theta)^2}{(\cos\theta-\sin\theta)(\cos\theta+\sin\theta)}\right]$
= $(\cos^2\theta-\sin^2\theta)\left[\frac{\cos^2\theta+\sin^2\theta+2\sin\theta\cos\theta+\cos^2\theta+\sin^2\theta-2\sin\theta\cos\theta}{\cos^2\theta-\sin^2\theta}\right]$
= $1+1$ [As $\cos^2\theta+\sin^2\theta=1$]
= $2$
Hence, the correct answer is $2$.

Correct Answer: 224

Solution : Given:
17 : 189 :: 13 : 69 :: 18 : ?

Like, 17 : 189→(17²) – 100 = 289 – 100 = 189
13 : 69→(13²) – 100 = 169 – 100 = 69
Similarly, for (18 : ?)→(18²

Correct Answer: preening its plumage and became motionless

Solution : The first option is the correct choice.

This sentence discusses a past event, so the past tense verb became is more appropriate than the present tense becomes. Also, its is the possessive form of it, while it's is a contraction

Correct Answer: ERSNGI

Solution : Given:
BRIGHT : RBTHGI :: SLAVES : LSSEVA :: REIGNS : ?

Shuffle the position of the letters of the word BRIGHT and SLAVES as shown below to obtain the related letter clusters –

Thus, BRIGHT is related to RBTHGI.

Thus, SLAVES is related to

Correct Answer: Dislike

Solution : The fourth option is the correct choice.

The word affinity refers to a natural liking, attraction, or connection to someone or something. On the other hand, dislike represents a feeling of not liking or having an aversion to someone or something.

The meanings of the

Correct Answer: With

Solution : The correct choice is the second option "with."

"Busy with' means to be engrossed in something, and it fits perfectly in the sentence, meaning that she is occupied with her work.

Therefore, the complete sentence is "She is busy with her work".

Correct Answer: 20

Solution : Given:
 A denotes addition, B denotes multiplication, C denotes subtraction, and D denotes division.
15 C 9 A 7 B 2 = ?

After replacing the letters with symbols according to the question, the equation becomes –
⇒15 – 9 + 7 × 2 =

Correct Answer: Chess

Solution : The answer is Chess.

The term gambit is related to the game of chess. The gambit is a chess opening in which a player, usually white, makes material sacrifices in the hope of gaining an advantageous position. Chess terminology includes "Gambit,"  "Bishop," and "Checkmate."

Correct Answer: 10%

Solution : Given: The marked price of a computer is Rs. 14,000. The selling price of the computer is Rs. 9,702. The two successive discounts of 23% and $y$% are given.
Here marked price (MP) = Rs. 14,000
After the first discount of 23% the selling price

Correct Answer: VUYZ

Solution : Given:

CARD : IGXJ :: POST : ?

In the series, CARD → IGXJ

C + 6 = I ; A + 6 = G ; R + 6 = X : D + 6 = J

Similarly, P + 6 = V ; O