Correct Answer: 228

Solution : Given:
273, 263, 248, ?, 203

Subtract the consecutive multiples of 5 (starting from 10) from the previous term to obtain the next term in the series.
273 – 10 = 263; 263 – 15 = 248; 248 – 20 = 228; 228 – 25

Correct Answer: The USA

Solution : The correct option is The USA.

The American branch of the Young Men's Christian Association (YMCA) published the first official set of volleyball regulations. William G. Morgan, a YMCA instructor, created the game of volleyball in 1895 as a less strenuous alternative to basketball.

Correct Answer: Sangeet Natak Akademi

Solution : The correct answer is Sangeet Natak Akademi.

The Sangeet Natak Akademi is India's national academy for music, dance, and drama. It is an autonomous organisation under the Ministry of Culture of the Government of India. Established in 1953, the Akademi's primary mandate is

Correct Answer: Alt + Tab

Solution : The correct option is Alt + Tab.

Alt + Tab is the keyboard shortcut used in Windows 10 to navigate between open apps. Press and hold the "Alt" key, and then press and hold the "Tab" key to bring up a mini-window

Correct Answer: Haryana

Solution : The correct answer is Haryana.

The 4th Edition of the Khelo India Youth Games is set to take place in Haryana, specifically in Panchkula. The Haryana government has decided to organise these games in February 2022, considering the potential impact of a third wave

Correct Answer: Amjad Ali Khan

Solution : The correct option is Amjad Ali Khan.

The sarod is a beautiful and complex musical instrument in Indian classical music. It is one of the most important instruments in North Indian classical music, particularly in the Hindustani tradition.

Amjad Ali Khan, Ali Akbar

Correct Answer: SPRQ

Solution : The correct choice is the third option.

Explanation:

The correct sequence is SPRQ.

The sentence structure aims to present a cohesive and logical sequence of information about sloths and their habitat.

• Part S introduces sloths and their habitat.
• Part P describes the unique feature of

Correct Answer: Lee told his wife that he was very happy that day.

Solution : The correct choice is the fourth option.

Narration Conversion:

In transforming direct speech to indirect speech, it is crucial to select the right reporting verb and make necessary adjustments in tense and pronoun references.

Correct Answer: Cover : Book

Solution : Given:
Frame : Picture :: ? : ? (Here, the first term is used to protect the second term.)

Let's check each option –
First option: Box : Lid; Box is not used to protect lid.
Second option: Chair : Cushion; Cushion is

Correct Answer: $\tan^{2}\alpha$

Solution : Given: $\cos^{2}\alpha–\sin^{2}\alpha=\tan^{2}\beta$
We know that: $1+\tan^{2}\alpha=\sec^{2}\alpha$
So, $\cos^{2}\alpha-\sin^{2}\alpha=\sec^{2}\beta-1$
⇒ $\cos^{2}\alpha-\sin^{2}\alpha+1=\sec^{2}\beta$
⇒ $\cos^{2}\beta=\frac{1}{\cos^{2}\alpha–\sin^{2}\alpha+(\sin^{2}\alpha+\cos^{2}\alpha)}$
⇒ $\cos^{2}\beta=\frac{1}{2\cos^{2}\alpha}$
Also, $\sin^{2}\beta=1-\cos^{2}\beta=1-\frac{1}{2\cos^{2}\alpha}$
So, $\cos^{2}\beta-\sin^{2}\beta$
$=\frac{1}{2\cos^{2}\alpha}-(1-\frac{1}{2\cos^{2}\alpha})$
$= \frac{1}{\cos^{2}\alpha}-1$
$= \sec^{2}\alpha-1$
$= \tan^{2}\alpha$
Hence, the correct answer is $\tan^{2}\alpha$.