Correct Answer: $3$

Solution :
$\tan A=\frac{1}{2}$
$⇒\frac{BC}{AB}=\frac{1}{2}$
Let $BC=x$ units, then $AB=2x$ units
Using Pythagoras theorem,
$⇒AC^2=AB^2+BC^2$
$⇒AC^2=x^2+(2x)^2$
$⇒AC^2=5x^2$
$⇒AC =x\sqrt5 $ units
Now, we have $\triangle ABC$ right-angled at B, with $\tan A=\frac{1}{2}$, and we've found that $BC=x$, $AB=2x$, and $AC=x\sqrt{5}$.
$⇒\sin A = \frac{BC}{AC} = \frac{x}{x\sqrt{5}} =

Correct Answer: 70,000

Solution : As per the given graph:
The number of students enrolled at State and Central Universities in 1980 = 8000 + 10000 = 18000
The number of students enrolled at State and Central Universities in 1990 = 14000 + 12000 = 26000
The number of students

Correct Answer: $4\sqrt{6}\;\mathrm{cm}$ 

Solution :

We have, $\mathrm{AX:BX = 3:2}$ and the radius of the circle is $5\;\mathrm{cm}$.
$\mathrm{AX=\frac{3}{5} \times 10 = 6}\;\mathrm{cm}$ 
$\mathrm{BX=\frac{2}{5} \times 10 = 4}\;\mathrm{cm}$ 
We know the theorem states that the two chords of a circle intersect within the circle, the product of the segments of

Correct Answer: Porcupine

Solution : The correct option is Porcupine.

Among the options given, the "porcupine" is protected in India under the Wildlife (Protection) Act of 1972. The porcupine is a Schedule II species under the Act, which means it is legally protected and killing or catching them without valid

Correct Answer: 32

Solution : Given:
Notebooks corrected with ink pen = 14
Notebooks corrected with colour pencil = 22
Notebooks corrected with both = 4

So, the total number of students in class = 14 + 22 – 4 = 32

Hence, the second option is correct.

Correct Answer: $5\frac{5}{11}$

Solution : Time taken by 15 men to complete the work = 10 days
⇒ Part of work done by 15 men in a day = $\frac{1}{10}$
Time taken by 15 women to complete the work = 12 days
⇒ Part of work done by 15 women

Correct Answer: My teacher says that we must take care of our hygiene.

Solution : The correct choice is the first option.

Narration Conversion:

• That is used to introduce the reported clause.
• The reported clause remains unchanged.
• The tense remains unchanged because it is a general statement.

Therefore, the correct

Correct Answer: Promoting financial inclusion in the country.

Solution : The correct answer is promoting financial inclusion in the country.

The purpose of this strategy was financial inclusion. As a result of this approach, India's financial inclusion has considerably improved. It has aided in the direct delivery of subsidies

Correct Answer: None of the girls deserves

Solution : The correct choice is the fourth option.

The phrase none of the takes a plural noun followed by the plural form of the verb. Thus, girl should be replaced with girls to make the sentence grammatically accurate.

Therefore, the correct sentence

Correct Answer: (4)

Solution : The correct answer is the fourth option.

The original sentence, "The toddler has a habit of throwing tantrums", is already clear and conveys the intended meaning. It means the toddler frequently becomes very angry and unreasonable, which is what throwing tantrums signifies.

Therefore, the given