Correct Answer: $\frac{313}{25}$

Solution : Given: The value of $\cos \theta=\frac{5}{13}$.
Use the trigonometric identity, $\sin^2 \theta +cos^2 \theta=1$.
$\tan ^2 \theta+\sec ^2 \theta=\frac{\sin^2 \theta}{\cos^2 \theta}+\frac{1}{\cos^2 \theta}$
= $\frac{\sin^2 \theta+1}{\cos^2 \theta}$
= $\frac{1–cos^2 \theta+1}{\cos^2 \theta}$
= $\frac{2–cos^2 \theta}{\cos^2 \theta}$
= $\frac{2–(\frac{5}{13})^2}{(\frac{5}{13})^2}$
= $\frac{2–\frac{25}{169}}{\frac{25}{169}}$
= $\frac{(338–25)\times 169}{169\times 25}$
= $\frac{313}{25}$
Hence,

Correct Answer: Hockey

Solution : The correct option is - Hockey.

The term 'bully' is related to field hockey.

 It refers to the set play, akin to a drop-ball in soccer, that is used to restart the game from the spot where the infraction occurred.

Correct Answer: 44th

Solution : The correct answer is 44th.

Earlier Article 31 and Article 19(1)(f) gave Right to Property a constitutional status and was mentioned as a Fundamental right. According to 44th Constitutional Amendment Act 1978 the Right to Property was removed from the list of Fundamental Rights. Now

Correct Answer: 20

Solution : Use identity: a³ – b³ = (a – b)(a² + ab + b²)
$\frac{120 \times 120 \times 120-100 \times 100 \times 100}{120 \times 120+120 \times 100+100 \times 100}$
= $\frac{(120 -100) (120 \times 120+120 \times 100+100 \times 100)}{120 \times 120+120

Correct Answer: Pyridine

Solution : The correct option is Pyridine.

These denaturants are frequently added to ethanol to make it unfit for human consumption in order to discourage people from drinking it as an alcoholic beverage. Denaturants applied typically include Pyridine is a chemical molecule with a strong, unpleasant odour

Correct Answer: Spanish

Solution : The correct option is Spanish

The potato's flavors were discovered in Peru by Spanish Conquistadors in 1536, and they were brought back to Europe. The vegetable wasn't immediately well-liked. Contingent tubers (and maize), according to historians, may have been transported and planted ashore.  In 1589,

Correct Answer: HCF of two or more numbers is the highest number which perfectly divides all the given numbers.

Solution : HCF of two or more numbers is the highest number that perfectly divides all the given numbers.
Hence, the correct answer is 'HCF of two or more numbers is

Correct Answer: 2

Solution : The second option is appropriate as in this sentence 'looking my bad mental condition' should be replaced with 'finding myself in a bad mental condition' which makes the sentence contextually correct.

The  other options  are grammatically incorrect and would be unfit for the sentence.

Therefore,

Correct Answer: contempt

Solution : The correct choice is the fourth option.

Contempt means the feeling that a person or a thing is worthless or beneath consideration. It also means disregard for something that should be considered, and this is the appropriate choice for the sentence.

Correct Answer: 120°

Solution :

In $\triangle CBE$ and $ \triangle ACD$
AD = CE (Given)
$\angle $B = $ \angle $C   (each angle is 60º)
BC = AC (sides of an equilateral triangle)
$\triangle CBE \cong \triangle ACD$ [SAS congruency]
So, the three angles of these two triangles are