It's a Question of your Career!

Correct Answer: $\frac{1}{\sqrt{3}}$

Solution : Given, $\cos 5 \alpha=\sin \alpha$
We know, $\cos(90°-\theta)=\sin\theta$
⇒ $\cos5\alpha=\cos(90°-\alpha)$
⇒ $5\alpha=90°-\alpha$
⇒ $6\alpha=90°$
⇒ $\alpha=15°$
Now, $\tan 2 \alpha=\tan(2\times 15°)=\tan30°=\frac{1}{\sqrt3}$
Hence, the correct answer is $\frac{1}{\sqrt3}$.

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To be eligible for NDA, the criteria for vision are as follows: Your distance vision (with correction) should be 6/6 or better in the stronger eye, and 6/9 or better in the weaker eye. The degree of myopia should not exceed 2.5 D, and the degree of hypermetropia, including

Correct Answer: 72

Solution : Given: 
4 : 20 :: 8 : ?

Add the square of the first number to itself, to obtain the second number.
Like, 4 : 20→(4)² + 4 = 16 + 4 = 20
Similarly, follow the same pattern for 8 : ?→(8)²

Correct Answer: 226.31%

Solution : Number of students studying in school S2 and S4 = 37% + 6% = 43%
Total number of students studying in schools S3 and S6 = 14% + 5% = 19%
Required percentage = $\frac{43}{19}$×100 = 226.31%
Hence, the correct answer is 226.31%.

Correct Answer: 1001 A.D.

Solution : The correct option is 1001 A.D.

The Battle of Peshawar between Raja Jayapala and Mahmud of Ghazni took place in 1001. Mahmud, the ruler of the Ghaznavid Empire, sought to expand his empire into the Indian subcontinent. The battle was a significant conflict in

Correct Answer: Bharatanatyam

Solution : The correct option is Bharatanatyam.

T. Balasaraswati, often referred to as Balasaraswati or Bala, was a renowned Indian classical dancer and one of the foremost exponents of the Bharatanatyam dance form. She was born on May 13, 1918, and was known for her significant contributions

Correct Answer: INR 24,75,000

Solution : Given: Total amount spent on sports = INR 7500000
Amount spent on cricket = 20%
Amount spent on hockey = 13%
Total amount spent on both = 20% + 13% = 33%
33% of total amount $=\frac{33}{100}\times7500000= 2475000$
Hence, the correct answer is INR

Correct Answer: will leaving

Solution : The correct choice is the third option.

Explanation: The auxiliary verb "will" is followed by the base form of the main verb, but when forming the future continuous tense, it should be followed by "be" and the present participle of the main verb.

Correct Answer: Nepal

Solution : The correct answer is Nepal.

The highest mountain range in Himalayas is Mount Everest. It is also the highest mountain range in the world. It has a height of 8848 metre. It lies in the Mahalangur Himal sub-range of the Himadri mountain range or Greater

Correct Answer: North

Solution : Firstly, we will draw the diagram as per the given instructions –

Here, A is the starting point and G is the endpoint.

So, the boy is facing in the north direction. Hence, the third option is correct.