Correct Answer: $0$

Solution : Given, $\cos \theta+\sec \theta=\sqrt{3}$
Cubing both sides, we get,
$⇒\cos^3\theta + \sec^3\theta+3\cdot\cos\theta\cdot\sec\theta(\cos \theta+\sec \theta)=3\sqrt3$
⇒ $\cos^3\theta+\sec^3\theta+3\times 1(\sqrt3)=3\sqrt3$ [$\because \cos\theta=\frac{1}{\sec\theta}$]
⇒ $\cos^3\theta+\sec^3\theta+3\sqrt3=3\sqrt3$
⇒ $\cos^3\theta+\sec^3\theta=0$
Hence, the correct answer is $0$.

Correct Answer: Australia

Solution : The correct option is Australia.

The concurrent list system is a legislative feature found in some federal systems of government, including India. There are typically three lists: the Union List, the State List, and the Concurrent List.

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear

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