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13 Views

Question : Select the correctly spelt word.

Option 1: Exeacutve

Option 2: Exacutive

Option 3: Exicutive

Option 4: Executive

Team Careers360 23rd Jan, 2024

Correct Answer: Executive


Solution : The correct choice is the fourth option.

The correct spelling is executive, which refers to a person or group having administrative or managerial authority in an organisation.

20 Views

Question : If $\tan ^2 \theta+\tan ^4 \theta=1$, then:

Option 1: $\cot ^2 \theta+\cot ^4 \theta=1$

Option 2: $\cos ^2 \theta+\cos ^4 \theta=1$

Option 3: $\sin ^2 \theta+\sin ^4 \theta=1$

Option 4: $\operatorname{cosec}^2 \theta+\sec ^4 \theta=1$

Team Careers360 25th Jan, 2024

Correct Answer: $\cos ^2 \theta+\cos ^4 \theta=1$


Solution : $\tan ^2 \theta+\tan ^4 \theta=1$
⇒ $\tan^2\theta(1+\tan^2\theta) = 1$
⇒ $\tan^2\theta(1+\frac{\sin^2\theta}{\cos^2\theta}) = 1$
⇒ $\frac{\sin^2\theta}{\cos^2\theta}(\frac{cos^2\theta + \sin^2\theta}{\cos^2\theta}) = 1$
⇒ $\frac{\sin^2\theta}{\cos^2\theta}(\frac{1}{\cos^2\theta}) = 1$
⇒ $\sin^2\theta = \cos^4\theta$
⇒ $1-\cos^2\theta = \cos^4\theta$
⇒ $\cos^4\theta + \cos^2\theta = 1$
Hence, the correct answer

8 Views

Question : Who among the following belonged to the ancient chiefly family of the Cholas from Uraiyur, who captured the Kaveri delta from the Muttaraiyar in the middle of the ninth century?

Option 1: Gandaraditya

Option 2: Vijayalaya

Option 3: Parantaka I

Option 4: Aditya I

Team Careers360 24th Jan, 2024

Correct Answer: Vijayalaya


Solution : The correct answer is Vijayalaya.

A minor ruling family called the Muttaraiyar had control over the Kaveri delta, and they were under the authority of the Pallava kings of Kanchipuram. In the middle of the ninth century, a leader named Vijayalaya, hailing from the

27 Views

Question : Select the INCORRECTLY spelt word.

Option 1: Puzzled

Option 2: Nasal

Option 3: Councel

Option 4: Embezzlement

Team Careers360 25th Jan, 2024

Correct Answer: Councel


Solution : The correct answer to this question is the third option.

The appropriate spelling of: coucel should be counsel. In the place of 'c', 'ns' needs to be added.

In summary, "counsel" revolves around the theme of providing advice, guidance, or professional support. The specific context

9 Views

Question : Which of the following is one of the notable works of Vikram Seth?

Option 1: A Suitable Boy

Option 2: Show Business

Option 3: Ancient India

Option 4: The Glass Palace

Team Careers360 23rd Jan, 2024

Correct Answer: A Suitable Boy


Solution : The correct answer is A Suitable Boy.

Vikram Seth's "A Suitable Boy," published in 1993, is a sprawling novel, standing out for its 1,349 pages. Set in post-independence India, the narrative spans 18 months, focusing on Mrs. Rupa Mehra's quest to find

17 Views

Question : Choose the word that means the same as the given word.
Shapeless

Option 1: Amorphous

Option 2: Amortization

Option 3: Amoral

Option 4: Amorous

Team Careers360 25th Jan, 2024

Correct Answer: Amorphous


Solution : The correct choice is the first option.

Shapeless means not having a clear shape. Amorphous is an appropriate synonym, as it denotes having no fixed form or shape.

The meaning of the other options is:

  • Amortisation: It is an accounting technique used to periodically lower
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