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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: 76%

Solution : As per the given graph,
The value (in crore rupees) in the year 2000 = 500
The value (in crore rupees) in the year 2001 = 120
The required percentage $=\frac{500-120}{500}×100=76$ %
Hence, the correct answer is 76%.

Correct Answer: suspicion

Solution : The first option is correct.

Here, suspicion fits well in the sentence to highlight the unjust and wrongful nature of the targeting that occurs in cases of mob lynching, where individuals are attacked based solely on the suspicions or perceptions of the perpetrators, without any

Correct Answer: Kathak

Solution : The correct answer is Kathak.

Roshan Kumari was a representative of one of India's traditional dance forms, Kathak. Known for its expressive movements, fine footwork, and storytelling aspects, Kathak originated in northern India. She founded Mumbai's Nritya Kala Kendra, an institute that promotes Kathak, and

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: Rs. 20

Solution : The formula for simple interest (SI) is, SI = $\frac{\text{PRT}}{100}$
where P is the principal amount, R is the rate of interest per annum (in decimal) and T is the time in years
SI = 2000 × 0.10 × 2 = Rs. 400
The

Correct Answer: 68 cm

Solution :
The diagonals of a rhombus are 16 cm and 30 cm.
We know diagonals perpendicularly bisect each other in a rhombus.
Side of a rhombus = $\sqrt{(\frac{\text{Diagonal_1}}{2})^2 + (\frac { \text{Diagonal_2}}{2})^2}$
⇒ Side of rhombus = $\sqrt{(\frac{16}{2})^{2}+ (\frac{30}{2})^{2}}$
⇒ Side = $\sqrt{82+152} = \sqrt{289}

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: 20

Solution : The pattern followed is that the second row is added to the product of the first and third to obtain the fourth row.

Like, in column one; 4 × 5 + 3 = 23
And, in column two; 5 × 3 + 4 = 19