Correct Answer: 24.67

Solution :
Side of an equilateral triangle, $a$ = 12 cm
Radius of incircle, $r = \frac{a}{2\sqrt3}= \frac{12}{2\sqrt3}= \frac{6}{\sqrt3}= 2\sqrt3$ cm
Area of incircle $= \pi r^2= \pi × ( 2\sqrt3)^2= 12\pi $
$\therefore$ Area of equilateral triangle $= \frac{\sqrt3}{4} a^2= \frac{\sqrt3}{4} ×12^2= 36\sqrt3$
Area of triangle

Correct Answer: Uttarakhand

Solution : The correct option is Uttarakhand.

The Nanda Devi Mountain, the second-highest mountain peak in India with a height of 7,816 metres, is the source of the name of the Nanda Devi Biosphere Reserve. The Western Himalayan Mountains in the Indian state of Uttarakhand contain the

Correct Answer: expected

Solution : The third option is the correct choice.

The correct word to fill in the blank is expected, which means something that is anticipated, awaited, or predicted to happen in the future.

The meanings of the other options are as follows:

• Accepted: something that is

Correct Answer: 75 and 50

Solution : Let the marks of student A as p and the marks of student B as q.
From the problem, we have two equations:
Since A got 25 marks more than B
⇒ p = q + 25 ...(1)
Since the marks of A

Correct Answer: GW

Solution : Given:
AK, CO, ES, ?

Add 2 to the positional value of the first letter and 4 to the positional value of the second letter of the previous term to get the next term of the series.
First letter of the series→A + 2 =

Correct Answer: Talented, praised

Solution : The fourth option is the correct choice.

"Talented" and "praised" fit perfectly in the sentence. "Talented" means being highly skilled or gifted and "praised" means being admired and appreciated, which is the intended meaning of the sentence.

The meanings of the other options are

Correct Answer: a homogeneous mixture of two or more substances

Solution : The correct option is a homogeneous mixture of two, or more substances.

A solution is a uniform mixture of two or more substances in proportions that can be repeatedly changed until it becomes soluble. Although the word

Correct Answer:

Solution : In the 3D view of dice,
1. Each face out of the three faces in the 3D view should be from all the pairs.
2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the opposite pairs of faces

Correct Answer: Tuesday

Solution : Given:
The 1st of March is Saturday.

The number of days from 1st of March to 1st of April = 31
On dividing 31 by 7, the remainder is 3, i.e., the odd number of days = 3
1st of April = Saturday + 3

Correct Answer: 8

Solution : Here, the sum of numbers given in each column is equal to 21.

Like, in the first column→6 + 5 + 7 + 3 = 21
And, in the third column→4 + 5 + 6 + 6 = 21
Similarly, in the second column→7 +