Correct Answer: Reptiles, Snakes, Lizards

Solution : Let's check each option –
First option: Shoes, Watches, Goggles; These elements come under the category of accessories and do not have a common relation between them therefore, this is incorrect.
Second option: Spectacles, Pens, Diaries; Here, pens and diaries are stationery items

Correct Answer: chlorine

Solution : The correct option is chlorine.

Chlorine gas (Cl2) is utilised in the production of bleaching powder. The active component of bleaching powder is calcium hypochlorite, which is produced by bubbling chlorine gas through a slaked lime (calcium hydroxide) solution.
Ca(OH)2 + Cl2 → Ca(ClO)2 +

Correct Answer: 8

Solution : $\left(49^{15}-1\right)$
= $\left((7^2)^{15}-1\right)$
= $\left(7^{30}-1\right)$
We know that $a^n-b^n$ is divisible by $a+b$, when $a$ and $b$ are prime numbers, for any positive real number $n$.
So, $\left(7^{30}-1\right)$ is divisible by (7 + 1) = 8
Hence, the correct answer is 8.

Correct Answer: $\frac{13}{8}$

Solution : Given: $2x-\frac{2}{x}=1$
Dividing both sides by 2, we get,
⇒ $x-\frac{1}{x} = \frac{1}{2}$
Cubing both sides, we get,
⇒ $(x-\frac{1}{x})^3=(\frac{1}{2})^3$
⇒ $x^3-\frac{1}{x^3}-3×x×\frac{1}{x}(x-\frac{1}{x})=\frac{1}{8}$
⇒ $x^3-\frac{1}{x^3}-3×\frac{1}{2}=\frac{1}{8}$
⇒ $x^3-\frac{1}{x^3}=\frac{1}{8}+\frac{3}{2}$
$\therefore x^3-\frac{1}{x^3}=\frac{13}{8}$
Hence, the correct answer is $\frac{13}{8}$.

Correct Answer: 4

Solution : Given: The sum of two positive numbers is 240 and their HCF is 15.
Let $x$ and $y$ be two coprime then the numbers are $15x$ and $15y$.
According to the question,
$15x+15y=240$
⇒ $x+y=16$
The number of pairs of numbers satisfying the given condition

Correct Answer: 221

Solution : Let the fourth proportional be $a$.
According to the question,
⇒ $189:273=153:a$
⇒ $a=\frac{273×153}{189}$
⇒ $a=221$
Hence, the correct answer is 221.

Correct Answer: Aphelion

Solution : The correct answer is Aphelion.

When earth is closest to the sun this point is known as Perihelion and when earth is farthest from the sun it is known as Aphelion. Aphelion point is reached every year in the month of July. 

When planet is

Correct Answer: Ashadha

Solution : The correct option is Ashadha.

Guru Purnima is a spiritual tradition celebrated to honour and express gratitude towards teachers or gurus. Hindus, Jains, and Buddhists in India observe it. The festival typically falls on the full moon day (Purnima) in the month of Ashadha

Correct Answer: Palaeolithic

Solution : The correct answer is Palaeolithic.

During the Palaeolithic Era, ostriches were discovered in India. Large quantities of ostrich egg shells discovered in Patne, Maharashtra, show that ostriches existed in India throughout the Palaeolithic period. Some pieces were carved with designs, and beads were fashioned

Correct Answer: $\frac{pq}{p+q}$

Solution : Given:
X can do a piece of work in $p$ days and Y can do the same work in $q$ days.
X can do a piece of work in $p$ days ⇒ X in 1 day can do $\frac{1}{p}$ part of the work
and Y