Correct Answer: 6048

Solution : Let the two numbers be $a$ and $b$.
$(a–b)^3=1728$ and $ab=108$.
⇒ $(a–b)=\sqrt[3]{1728}$
⇒ $(a–b)=12$ -------------------------------(equation 1)
Now, $(a+b)^2=(a–b)^2+4ab$
⇒ $(a+b)^2=(12)^2+4(108)$
⇒ $(a+b)=\sqrt{144+432}$
⇒ $(a+b)=24$ ---------------------------(equation 2)
Performing equation (2) – equation (1), we get:
$(a+b)-(a-b) = 24-12$
⇒ $2b = 12$
⇒ $b=6$
Substituting

Correct Answer:

Solution : According to the given figures –
1. The line outside the square is moving in the anticlockwise direction and the number of positions from it is being shifted is increasing by 1 from the previous box.
2. The triangle inside the square is moving in the

Correct Answer: Hormone

Solution : The correct option is Hormone.

Controlling visceral functions, like breathing, is done by the hormone and medication Adrenaline, frequently referred to as Epinephrine. It activates the body's "fight or flight" response, which increases heart rate, dilates airways, redirects blood flow to muscles, and increases

Correct Answer: flagrant

Solution : The fourth option is correct.

The word flagrant describes an action that is considered wrong or immoral.

In the context of mob lynching, the term flagrant emphasises that such incidents of violence are not just breaches of human dignity but are overt and glaring violations

Correct Answer: Dacca

Solution : The correct option is Dacca.

The All India Muslim League was established in 1906 in Dacca, which was then part of British India and is now the capital of Bangladesh. It was established during the annual session of the All India Muhammadan Educational Conference

Correct Answer: (4)

Solution : The original sentence is grammatically correct and effectively conveys the intended meaning. His yesterday's performance is the appropriate way to refer to the performance of the previous day, and the other alternatives do not improve the sentence.

Therefore, the correct choice is the fourth option

Correct Answer: Thailand

Solution : The correct answer is Thailand.

Southeast Asian nation formerly known as Siam, and now referred to as the Kingdom of Thailand. The elephant serves as the nation's emblem. The main habitats of white elephants are Thailand, Myanmar, and Burma. In Thai culture, the number of

Correct Answer: $21\frac{7}{8}\%$

Solution : Using, Marked price = Cost price + Mark-up value
Selling price = Marked price – Discount
Let the cost price as $x$.
The marked price would then be $1.30x$.
The discount of $6\frac{1}{4}\%$ on the marked price $=\frac{25}{400}\times1.30x = 0.08125x$
The selling price after the

Correct Answer: 12 cm

Solution :
Suppose a tangent segment and a secant segment are drawn to a circle from an exterior point. In that case, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external

Correct Answer: CaSO₄.2H₂O

Solution : The correct answer is CaSO₄.2H₂O.

The chemical formula of Gypsum is CaSO₄·2H₂O.

Here's a breakdown of the components:

• Ca: Calcium
• SO₄: Sulphate
• 2H₂O: Two water molecules (dihydrate)

So,