It's a Question of your Career!

Correct Answer: 4

Solution : Given, $\tan \theta+\cot \theta=2$
We know, $\cot\theta=\frac{1}{\tan\theta}$
⇒ $\tan\theta+\frac{1}{\tan\theta}=2$
⇒ $\tan^2\theta+1=2\tan\theta$
⇒ $\tan^2\theta+1-2\tan\theta=0$
⇒ $(\tan\theta-1)^2=0$
⇒ $\tan\theta-1=0$
⇒ $\tan\theta = 1$ [As $\theta$ is an acute angle]
⇒ $\cot\theta=1$
Now consider, $2 \tan ^2 \theta+\cot ^2 \theta+\tan ^4 \theta \cot ^4 \theta$
= $2\times(1)^2+1^2+(1)^4\times(1)^4$
=

Correct Answer: (4)

Solution : The correct choice is the fourth option.

In this sentence, the word "serious" is used correctly and appropriately to convey the intended meaning. It indicates that the person was deeply shocked or bewildered by the accusation and, as a result, could not provide a substantial

Correct Answer: OMR

Solution : The correct answer is OMR.

An OMR (Optical Mark Recognition) scanner is a device that is often used to verify multiple-choice questions (MCQs). By recognising the presence or absence of marks in designated regions, OMR technology is particularly intended to identify and analyse marked replies

Correct Answer: joyful

Solution : The correct choice is the third option.

Explanation:
In high spirits is an idiom that means to be excited or very happy. It refers to being in a state of being cheerful or in a positive mood.

Therefore, the correct answer is, joyful.

Correct Answer: touch

Solution : The second option is correct.

Explanation:
Keeping in touch implies regular communication, maintaining relationships, and staying updated with each other's lives or activities. Therefore, in the context of a multi-client messaging system, it's highlighting the ease of staying connected with multiple individuals or clients simultaneously,

Correct Answer: 6 hours

Solution : The relative speed of both the boats = 35 km/hr – 25 km/hr = 10 km/hr
Distance = 60 km
⇒ Time = $\frac{\text{Distance}}{\text{Speed}}=\frac{60}{10}=6$ hours
Hence, the correct answer is 6 hours.

Correct Answer: 69, 88, 67, 65

Solution : Given:
POET

Number representations of each letter –
P→58, 69, 75, 86, 97
O→55, 66, 77, 88, 99
E→56, 67, 78, 89, 95
T→59, 65, 76, 87, 98

First option: 69, 88, 67, 65; All the letters of the word POET can

Correct Answer: 21

Solution : Given: Three numbers are in the ratio 5 : 6 : 7.
Let the numbers be $5x,6x,$ and $7x$, respectively.
The product of the number is 5670.
According to the question,
$5x×6x×7x = 5670$
⇒ $x^{3}=\frac{5670}{5×6×7}$
⇒ $x^{3} = 27$
$\therefore x = 3$
$\therefore$

Correct Answer: Chhattisgarh

Solution : The correct answer is Chhattisgarh.

Karma is a folk dance that is performed during the worship of the Karam Devta. It is famous in Chhattisgarh and is also performed in Jharkhand, MP, and Odisha. Karma is a tribal community dance that is performed by

Correct Answer: 1967

Solution : The correct answer is 1967.

The Unlawful Activities (Prevention) Act of 1967 aims at the effective prevention of unlawful activity associations in India. Unlawful activities mean any action done by any individual society or association that intends to disrupt the territorial integrity and sovereignty