Correct Answer: $\frac{x-y}{x+y}$

Solution : We know,
The third proportional = $\frac{\text{(Second proportional)}^2}{\text{(First proportional)}}$
$= \frac{(x-y)^2}{x^2-y^2}$
$= \frac{(x-y)^2}{(x+y)(x-y)}$
$= \frac{(x-y)}{(x+y)}$
Hence, the correct answer is $\frac{(x–y)}{(x+y)}$.

Correct Answer: 245

Solution : Profit = 15% of cost price
Selling price = Cost price + Profit
= cost price + 15% of cost price
= 115% of cost price
When selling price = 3 × original selling price,
So, new selling price = 3 × (115% of cost

Correct Answer: sovereignty

Solution : The correct answer is sovereignty.

"Every citizen must uphold and protect the sovereignty, unity and integrity of India." This statement emphasizes the responsibility of citizens to preserve the nation's sovereignty, maintaining its unity and safeguarding its integrity. It reflects a fundamental principle of civic

Correct Answer: 26826

Solution : Given:

BROAD means 19812.

First, assign one number to two alphabets of the alphabetical series.

A, B → 1; C, D → 2; E, F → 3; G,H → 4; I, J → 5; K, L → 6; M, N → 7; O, P →

Correct Answer: The plant cells cannot divide by mitosis.

Solution : The correct answer is That plant cells cannot divide by mitosis.

Plant cells undergo mitosis. Mitosis is the process of cell division that results in two genetically identical daughter cells. It is essential for the growth, development, and repair

Correct Answer: Any better choice won't be received by him than this from anywhere.

Solution : The correct choice is the first option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence

Correct Answer: Muhammad-bin-Bhaktiyar

Solution : The correct option is - Muhammad-bin-Bhaktiyar

The Muslim adventurer who is associated with the destruction of Nalanda University was Bakhtiyar Khilji. He was a general under Qutb-ud-din Aibak, the founder of the Delhi Sultanate. In 1193 CE, Bakhtiyar Khilji led an expedition into the Indian

Correct Answer: They will send wedding invitations.

Solution : The correct answer is the third option.

Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.

The structure of the

Correct Answer: + and ×

Solution : Given:
162 ÷ 3 + 5 × 6 – 2 = 274

Replace the given symbols in the options one by one with the original symbols in the given equation.
First option: + and –
= 162 ÷ 3 – 5 × 6

Correct Answer: 5 years

Solution : Let Dr. Pandey's present age be A, and Dr. Pandey's son's present age be B.

As per the given information,
Dr. Pandey's age is four times the age of his son ⇒ A = 4 × B = 4B

After 10 years, Dr. Pandey's