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

Solution : Given: $\sin \theta \cos \theta=\frac{1}{\sqrt{3}}$
We know that $\sin^2 \theta + \cos^2 \theta = 1$
Squaring both sides,
$⇒\sin^4 \theta + \cos^4 \theta + 2\sin^2\theta\cos^2\theta= 1$
$⇒\sin^4 \theta + \cos^4 \theta + 2(\sin\theta\cos\theta)^2 = 1$
$⇒\sin^4 \theta + \cos^4 \theta + 2\times (\frac{1}{\sqrt{3}})^2 = 1$

Correct Answer: Wednesday

Solution : Given:
The 21st of February 2017 is Tuesday.

First, find the total number of days –
2017→7 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 31 = 313

Correct Answer: Margaret Court

Solution : The correct option is Margaret Court.

Margaret Court has won the Grand Slam titles to the maximum number of times. She enjoyed remarkable success throughout her career, securing numerous titles, including a record-breaking 24 Grand Slam singles titles. Margaret Court, a retired Australian

Correct Answer: dfece

Solution : Given:
c_e_cd_f_d_f

Divide the series into letter clusters – c_ e_ / cd _f /_d _f
Let's check each option –
First option: dfcec; cdef / cdcf / edcf (No repeated pattern found.)
Second option:dfece; 

Correct Answer: Hepatitis

Solution : The correct option is Hepatitis.

A mosquito bite does not typically cause hepatitis. Hepatitis refers to inflammation of the liver, and it can have various causes, including viral infections (such as hepatitis A, B, C, D, and E), alcohol abuse, toxins, and autoimmune conditions. The

Correct Answer: Minyed

Solution : The correct choice is the first option.

The incorrectly spelled word is "Minyed," which is a misspelling. The correct spelling is "mined," which refers to the extraction of minerals or resources from the earth.

The correct spellings and meanings of the remaining options are as

Correct Answer: Bharatnatyam and Odissi

Solution : The correct option is Bharatnatyam and Odissi.

Sonal Mansingh is associated with Bharatanatyam and Odissi, two classical Indian dance forms. Renowned as a highly accomplished dancer and choreographer, she has made significant contributions to the promotion and preservation of these rich cultural

Correct Answer: due

Solution : The second option is correct.

The word due implies a direct cause-and-effect relationship between two factors.

In the context provided about Venus' high surface temperature, using due in the sentence might suggest that the high surface temperature is a direct consequence solely attributed to the

Correct Answer: 5

Solution : Let the number of chocolates with Ravi be $x$.
Given: The total number of chocolates with Bhanu at last = 54
Then, the number of chocolates with Bhanu = $0.8x$
The number of chocolates Ravi gave to his sister = $0.1x$
Number of chocolates with

Correct Answer: Cache

Solution : The correct answer is Cache.

The fastest system memory is cache memory, which is necessary to keep up with the CPU as it fetches and executes instructions. Cache memory houses the information that the CPU uses the most frequently. The registers, which make up