Correct Answer: in a

Solution : The error lies in the fourth option.

The definite article the should be used in place of a before second innings to make the sentence grammatically accurate because the definite article the is used before specific nouns.

Therefore, the correct sentence is: The

Correct Answer: feeling depressed

Solution : The correct choice is the third option.

Explanation: "Feeling depressed" is a more idiomatic and accurate expression than "being depressed". It refers to experiencing a state of low mood, sadness, and a general lack of interest or pleasure in activities. Depression is a

Correct Answer: 24

Solution : Given: Upstream speed of boat = 21 km/hr
Downstream speed of boat = 28 km/hr
For the same distance,
Average speed = $\frac{2ab}{a+b}$ where $a$ = 21 km/hr and $b$ = 28 km/hr
So, the average speed = $\frac{2\times 21\times 28}{21+28}$ = 24 km/hr
Hence,

Correct Answer: 553^rd

Solution : Correct answer is 553rd

Prime Minister Narendra Modi participated in the 553rd birth anniversary celebrations of Guru Nanak Dev Ji in New Delhi. Guru Nanak was the first Guru of the Sikh religion and he is known as the creator of Sikhism and Sikhs

Correct Answer: Budget

Solution : The correct option is budget.

An annual statement of the estimated receipts and expenditures of the government over the fiscal year is known as the budget. This document contains the government's financial plan, which includes information on how money will be distributed for different projects,

Correct Answer: RPQS

Solution : The correct choice is the third option.

The correct order of the sentences to form a coherent paragraph is:

• R. There are lots of ways you can protect your eyes during the day.
• P. You can use proper lighting, reduce screen glare,

Correct Answer: 10th

Solution : The correct answer is the 10th.

The process of counting a nation's whole population is called a census. It takes place in India every 10 years. The most recent census was carried out in 2011. The first census of India was conducted in 1872.

Correct Answer: 2

Solution : Given: $\frac{1+\sin^4 \theta+\cos^4 \theta}{\cos^2 \theta+\sin^4 \theta}$
We know that $\sin^2\theta+\cos^2\theta=1$
Now, $\frac{1+\sin^4 \theta+\cos^4 \theta}{\cos^2 \theta+\sin^4 \theta}$
$=\frac{\sin^2 \theta+\cos^2 \theta+(\sin^2 \theta+\cos^2 \theta)^2–2\sin^2\theta\cos^2\theta}{1–\sin^2 \theta+\sin ^4 \theta}$
$=\frac{1+1–2\sin^2\theta\cos^2\theta}{(\sin^2 \theta)(\sin^2\theta–1)+1}$
$=\frac{2×(1–\sin^2\theta\cos^2\theta)}{1–\sin^2\theta\cos^2\theta}$
$=2$
Hence, the correct answer is 2.

Correct Answer: 1

Solution : The error lies in the first part of the sentence.

The word "hope" should be changed to "hopes" as the subject of the sentence is "hope" which is a singular subject, and it is accompanied by a plural verb, which is grammatically incorrect. Consequently, a

Correct Answer: 25 metres

Solution : Let the length and breadth of a rectangle be $l$ and $b$.
Given that the ratio of the breadth to the length is $3:4$.
$l = \frac{4}{3} × b$____(i)
The area of the lawn $=\frac{1}{12}$ hectare $=\frac{10000}{12}$ m²
$b × l = \frac{10000}{12}$____(ii)