Correct Answer: $4 \sqrt{3}$ cm

Solution :

Given: PQR is an equilateral triangle and the centroid of triangle PQR is point A.
The side of the triangle is 12 cm.
The equilateral triangle circumradius = $\frac{\text{side}}{\sqrt3}$.
The equilateral triangle's centres are all located at the same point. Whether it's a

Correct Answer: eShram

Solution : The correct answer is eShram.

Ministry of Labour & Employment launched the eShram portal, a National Database of Unorganised Workers on 26th August 2021. It has been made available to the states/UTs for registration of organised workers including migrant workers and domestic workers on

Correct Answer: Unmanned station located in Antarctica

Solution : The correct answer is the Unmanned station located in Antarctica.

In Antarctica, India has three research stations: Bharati, Dakshin Gangotri and Maitri. They study the age of Antarctic ice and the rate at which it melts. They also conduct research

Correct Answer: Radioactive energy

Solution : The correct answer is Radioactive energy.

The planet's internal heat engine is fuelled by residual heat from Earth's origin as well as heat from radioactive material decay. Radioactive atoms have energy that they spontaneously release as high-energy subatomic particles or electromagnetic waves.

Correct Answer: 57689

Solution : Given:

12439, 23549, 34659, 45769, 57689

The pattern is:

12439

1 + 1 = 2

2 + 1 = 3

4 + 1 = 5

3 + 1 = 4

9 is constant.

Similarly, 23549, 34659

45769

4 + 1 = 5

5 + 1

Correct Answer: it determines the Indian Standard Time

Solution : The correct answer is it determines the Indian Standard Time.

82 1/2⁰ E is also known as Indian Standard Time. This longitude passes nearly through the middle of India and it is 5 hrs 30 minutes ahead of Greenwich

Correct Answer: (3)

Solution : The sentence can be improved using the third option.

The phrase "admits of" is an idiom that means to allow or permit. It is often used to express the possibility or feasibility of something. In the given context, it is the most appropriate choice to

Correct Answer: 2014

Solution : In a leap year, 366 days→2 odd days
In a non-leap year, 365 days→1 odd day
Calculating the number of odd days from 2003,
2004→2 odd days (leap year) 
2005→1 odd day
2006→1 odd day
2007→1 odd day
2008→2 odd days (leap year) 
2009→1 odd

Correct Answer: 5, 4, 1, 3, 2

Solution : Given:
1. Highway 2. History 3. Hired 4. Hierarchy 5. Hibiscus

Step 1: The first and the second letters of each word are the same, so move on to the next letter.
Step 2: The third letter of each word is

Correct Answer:

Solution : According to the given figure series, in every alternate box, the geometrical figures/ numbers/ letters shift their position following the below patterns –
1. From Box 1 to Box 2 – Top right→Centre of the box→Bottom right→Top right; Centre-left ⇔ Centre-right

2. From Box 2 to