Correct Answer: 10

Solution : Average marks of a student per paper = 71
Let $n$ be the number of papers.
Total marks scored = $71n$
New average = 76
New total = $76n$
⇒ $71n + 35 + 11 + 4 = 76n$
⇒ $5n = 50$
⇒ $n

Correct Answer: Kaziranga

Solution : The correct option is Kaziranga.

The one-horned Indian rhinoceros population is the focus of a specialist wildlife conservation programme at Kaziranga National Park in India. This iconic park in the Indian state of Assam is well-known for providing rhinos and other wildlife species with

Correct Answer: Durga Puja

Solution : The correct option is Durga Puja.

Durga Puja is listed under the intangible cultural heritage of humanity by UNESCO. This is the main festival in West Bengal and is also celebrated in Bangladesh. It marks the worship of Goddess Durga, who symbolises the

Correct Answer: $1$

Solution : The radius of the incircle of an equilateral triangle is given by the formula $r = \frac{a}{2\sqrt{3}}$, where $a$ is the side length of the triangle.
Given that the length of the sides of the equilateral triangle ABC is $2\sqrt{3}$ cm.
$x = \frac{2\sqrt{3}}{2\sqrt{3}} =

Correct Answer: 90°

Solution : The angles at the circumference subtended by the same arc are equal.
In $\triangle ABC$,
$\angle ABC + \angle BCA + \angle ACB = 180°$
⇒ $81° + 9° +\angle BAC= 180°$
⇒ $\angle BAC = 90°$
Now, $\angle BAC = \angle BDC = 90°$

Correct Answer: is my

Solution : The correct choice is the second option.

My should be replaced with mine to make the sentence grammatically accurate, as my is usually followed by a noun, whereas mine is used without a following noun to indicate ownership.

Therefore, the correct sentence is:

Correct Answer:

Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the first option is correct.

Correct Answer: 4 : 70

Solution : Let's check the options –
First option: 4 : 70; 70 is not divisible by 4.
Second option: 3 : 30; 30 ÷ 3 = 10; 30 is divisible by 3.
Third option: 6 : 222; 222 ÷ 6 = 37; 222 is

Correct Answer: 2.14

Solution : Given: Time taken by a man and a woman = $\frac{1}{2}$ (Time taken by a woman and a boy)
Time taken by a boy to complete the work = 20 days
Time taken by 2 women to complete the work = 30 days
Time taken

Correct Answer: $2(4+\sqrt6)$

Solution : $x=1+\sqrt{2}+\sqrt{3}$
⇒ $x-1=\sqrt{2}+\sqrt{3}$
Squaring both sides
⇒ $(x-1)^2=(\sqrt{2}+\sqrt{3})^2$
⇒ $(x^2+1-2x)=(2+3+2\sqrt{6})$
⇒ $(x^2+1-2x)=(5+2\sqrt{6})$
adding 3 to both sides, we get,
⇒ $(x^2+1-2x)+3=(5+2\sqrt{6})+3$
⇒ $(x^2+4-2x)=(8+2\sqrt{6})$
$\therefore (x^2+4-2x)=2(4+\sqrt{6})$
Hence, the correct answer is $2(4+\sqrt{6})$.