It's a Question of your Career!

Correct Answer: $1$

Solution : Given:
$\operatorname{cosec}\theta-\sin\theta=l$ and $\sec\theta-\cos\theta=m$, $l^2m^2(l^2+m^2+3)$
$=(\operatorname{cosec}\theta-\sin\theta)^2(\sec\theta-\cos\theta)^2[(\operatorname{cosec}\theta-\sin\theta)^2+(\sec\theta-\cos\theta)^2+3]$
$= (\frac{1}{\sin\theta}-\sin\theta)^2(\frac{1}{\cos\theta}-\cos\theta)^2[(\frac{1}{\sin\theta}-\sin\theta)^2+(\frac{1}{\cos\theta}-\cos\theta)^2+3]$
$=(\frac{1-\sin^2\theta}{\sin\theta})^2(\frac{1-\cos^2\theta}{\cos\theta})^2[(\frac{1-\sin^2\theta}{\sin\theta})^2+(\frac{1-\cos^2\theta}{\cos\theta})^2+3]$
$=(\frac{cos^2\theta}{\sin\theta})^2(\frac{\sin^2\theta}{\cos\theta})^2[(\frac{\cos^2\theta}{\sin\theta})^2+(\frac{\sin^2\theta}{\cos\theta})^2+3]$
$=(\frac{\cos^4\theta}{\sin^2\theta})(\frac{\sin^4\theta}{\cos^2\theta})[(\frac{\cos^4\theta}{\sin^2\theta})+(\frac{\sin^4\theta}{\cos^2\theta})+3]$
$= \sin^2\theta \cos^2\theta[\frac{\cos^6\theta+\sin^6\theta+3\sin^2\theta \cos^2\theta}{\sin^2\theta \cos^2\theta}]$
$= \cos^6\theta+\sin^6\theta+3\sin^2\theta \cos^2\theta$
$=(\cos^2\theta)^3+\sin^2\theta)^3+3\sin^2\theta \cos^2\theta$
$=(\cos^2\theta+\sin^2\theta)^3-3\cos^2\theta \sin^2\theta(\cos^2\theta+\sin^2\theta)+3\sin^2\theta \cos^2\theta$
$=1^3-3\cos^2\theta \sin^2\theta(1)+3\sin^2\theta \cos^2\theta$
$=1$
Hence, the correct answer is $1$.

Correct Answer: The President in Consultation with the Election Commission

Solution : The correct answer is The President in Consultation with the Election Commission.

Depending on whether it is the Lok Sabha or the Rajya Sabha, the Speaker or the House Chairman decides on disqualification in defection-related cases. Even if

Correct Answer: Surya

Solution : The correct answer is Surya.

The sun god Surya is the object of Chhath puja. All life on Earth originates from the sun, which is visible to all beings. Chhathi Maiya is worshipped on this day together with the Sun God.

Correct Answer: seldom

Solution : The correct choice is the first option.

Explanation:

The word often indicates a high frequency or regular occurrence. In contrast, "seldom" means infrequent or rarely. The use of seldom as the antonym provides a clear contrast to the frequency implied by "often" in the

Correct Answer: called for

Solution : The first option is the correct answer for the sentence because 'called for' means 'required' and makes the explanation of the sentence as 'the manager was required an explanation for his code of conduct'.

'Called off' means to cancel; 'called to' means to shout

Correct Answer: 45°

Solution : Given: $239x-239y+5=0$
$\therefore$ Slope = $\frac{-239}{-239}$ = 1
So, $\tan\theta= 1=\tan 45°$
$\therefore\theta = 45°$
Hence, the correct answer is 45°.

Correct Answer: 13 – 174

Solution : Let's check each option –
First option: (19 – 364); (19)² + 3 = 361 + 3 = 364
Second option: (21 – 444); (21)² + 3 = 441 + 3 = 444
Third option: (17 – 292); (17)² +

Correct Answer: Lasting

Solution : The correct choice is the second option.

Temporary means something that is temporary and not permanent.

Lasting refers to something that endures, continues, or exists for a long time, which makes it the correct antonym.

The meanings of the other options are as follows:

Correct Answer: REVEFOR

Solution : Given:
CAUTION is written as NOITCAU.

Shuffle the position of the letters of the word CAUTION as shown below, to obtain the required code –

Thus, CAUTION is coded as NOITCAU.
Similarly, follow the same pattern for FOREVER –

Thus, FOREVER is coded as REVEFOR.

Correct Answer: 39.7

Solution : Given: The average marks of 100 students were found to be 40.
It was discovered that a score of 53 was misread as 83.
Difference = 83 – 53 = 30
$\therefore$ Final average = 40 – $\frac{30}{100}$ = 39.7
Hence, the correct answer is