Correct Answer: remains the same

Solution : The correct option remains the same.

When a bond is formed between two atoms, the energy of the system may indeed remain the same, especially in processes where energy is conserved. This typically happens in reactions where the energy released during bond

Correct Answer: Primary market
 

Solution : The correct answer is (a) Primary market

In the primary market, companies issue new securities, such as stocks or bonds, to raise funds directly from investors. ABC Enterprises would be initiating this process by offering its innovative projects' securities to investors for the first

Correct Answer: 105

Solution : Given, $2 x+5 y=15$ and $x y=6$
Consider, $2x+5y=15$
Squaring both sides, we get,
⇒ $(2x+5y)^2=15^2$
⇒ $4x^2 + 25y^2 + 20xy = 225$
⇒ $4x^2+25y^2+20×(6)=225$
⇒ $4x^2+25y^2=225-120$
⇒ $4x^2+25y^2 = 105$
Hence, the correct answer is 105.

Correct Answer: INR 3,152.50

Solution : Principal = INR 20000
Time = 2 years
$\text{Compound interest}= \text{Total amount – Principal}$
$⇒\text{Compound interest}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}-\text{Principal}$
$⇒2050=20000((1+\frac{\text{Rate}}{100})^2-20000$
$⇒22050=20000((1+\frac{\text{Rate}}{100})^2$
$⇒(1+\frac{\text{Rate}}{100})^2=\frac{22050}{20000}=\frac{441}{400}$
$⇒(1+\frac{\text{Rate}}{100})^2=(\frac{21}{20})^2$
$⇒1+\frac{\text{Rate}}{100}=\frac{21}{20}$
$\therefore \text{Rate}=5$%
Now, the total amount after 3 years with a 5% compound interest on a sum of INR 20000
$=20000(1+\frac{5}{100})^3$
$=20000(\frac{21}{20})^3$
$=20000×\frac{441}{400}×\frac{21}{20}$

Correct Answer: Phobos and Deimos

Solution : The correct option is Phobos and Deimos.

Mars is often referred to as the "Red Planet" due to its reddish appearance, which is the result of iron oxide (rust) on its surface. It is the fourth planet from the Sun in our solar

Correct Answer: Arthritis

Solution : The correct option is - Arthritis.

Deposition of uric acid crystals at the joint is the cause of a condition known as gout. It is a type of arthritis that occurs when there is a buildup of uric acid in the bloodstream, leading to the

Correct Answer: 12

Solution : The odd integers between 2 and 22 are 3, 5, 7, 9, 11, 13, 15, 17, 19, and 21.
$\therefore$ Required average $=\frac{3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21}{10}=\frac{120}{10}=12$
Hence, the correct answer

Correct Answer: 21.024

Solution : Given, $x^2-\sqrt{9.76} x+1=0$
Dividing by $x$, we get,
$⇒x-\sqrt{9.76} +\frac{1}{x}=0$
$⇒x +\frac{1}{x}=\sqrt{9.76}$
Squaring both sides, we get,
$⇒x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=9.76$
Subtracting 4 from both sides, we get,
$⇒x^2+\frac{1}{x^2}-2=9.76-4$
$⇒(x -\frac{1}{x})^2=5.76$
$⇒(x -\frac{1}{x})=\sqrt{5.76}$
Cubing both sides, we get,
$⇒ x^3-\frac{1}{x^3}-3×x×\frac{1}{x}(x-\frac{1}{x})=5.76×\sqrt{5.76}$
$⇒ x^3-\frac{1}{x^3}-3×\sqrt{5.76}=5.76×\sqrt{5.76}$
$⇒ x^3-\frac{1}{x^3}=5.76×\sqrt{5.76}+3×\sqrt{5.76}$
$⇒ x^3-\frac{1}{x^3}=8.76×\sqrt{\frac{576}{100}}=8.76×\frac{24}{10}=21.024$
Hence, the

Correct Answer: 68°

Solution :
If two circles touch each other externally at some point and a direct common tangent is drawn to both circles, the angle subtended by the direct common tangent at the point where two circles touch each other is 90°.
According to the concept, $\angle$APB =

Correct Answer: Healthy : Sick

Solution : Given:
Dry : Wet (This depicts that the second term is the antonym of the first term)

Let's check each option –
First option: Tall : Large; Large is not the antonym of tall.
Second option: Healthy : Sick; Sick is the antonym