Correct Answer: Sodium bicarbonate

Solution : The correct option is Sodium bicarbonate.

Sodium bicarbonate, or baking soda, is a crystalline, white substance that appears as a fine powder. It is a chemical substance having the formula NaHCO₃. It is a salt of a sodium cation and a bicarbonate anion.

Correct Answer: 2

Solution : Given: $x=a\left ( \sin\theta+\cos\theta \right )$ and $y=b\left ( \sin\theta-\cos\theta \right )$.
$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = \frac{a^{2}\left ( \sin^{2}\theta+2\sin\theta\cos\theta+\cos^{2}\theta \right )}{a^{2}} + \frac{b^{2}\left ( \sin^{2}\theta-2\sin\theta\cos\theta+\cos^{2}\theta \right )}{b^{2}}$
⇒ $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = \left ( \sin^{2}\theta+2\sin\theta\cos\theta+\cos^{2}\theta \right ) + \left ( \sin^{2}\theta-2\sin\theta\cos\theta+\cos^{2}\theta \right )$
⇒ $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 2\sin^{2}\theta+2\cos^{2}\theta$
⇒ $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}

Correct Answer: iv, i, iii, ii

Solution : Given:
i. Latitude ii. Longitude iii. Laugh iv. Latent

Step 1: Since all the words start with the same letter L, so move on to the next letter. The second letter of each word is – a, o, a

Correct Answer:

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

Correct Answer: $\frac{1}{ \sqrt{3}}$

Solution : $\sin 2\theta = \frac{\sqrt{3}}{2}$
⇒ $\sin 2\theta = \sin 60° $
⇒ $2\theta = 60° $
⇒ $\theta = 30° $
So, $\tan \theta = \tan 30° = \frac{1}{\sqrt{3}}$
Hence, the correct answer is $\frac{1}{\sqrt{3}}$.

If your age is between 18 to 27 years then you can definitely give this exam.

Correct Answer: South

Solution : Firstly, we will draw the diagram as per the given instructions –

The direction from the starting position (A) to the final position (F) is south.

So, the tourist is in the south direction. Hence, the fourth option is correct.

Correct Answer: 2

Solution : The correct answer is the second option because 'was activated' should be replaced with 'were activated' as the helping verb 'was' doesn't agree with the plural subject violating the subject-verb agreement.

In the first option, 'is activated' is incorrect as per the subject-verb agreement and

Correct Answer: Miss Universe

Solution : The correct answer is Miss Universe.

Harnaaz Kaur Sandhu is an Indian actress and beauty queen renowned for winning the title of Miss Universe 2021. Before this achievement, she secured the Miss Universe India 2021 crown, making her the third representative from India to

Correct Answer: goods are exchanged with goods

Solution : The correct answer is goods are exchanged with goods.

A barter transaction is a direct exchange of one commodity or service for another, without the use of money. A barter system involves people or organisations exchanging what they have for