Correct Answer: Fraternity

Solution : The correct option is Fraternity.

Fraternity is the attribute that emphasises the importance of treating all people as equals and not as inferiors in the Preamble of the Indian Constitution. The Preamble emphasises the fundamental values of the Indian Constitution, which are justice, liberty, equality,

Correct Answer: 10

Solution : The slant height of the cone
= $\sqrt{8^2 + 6^2}$
= $\sqrt{64+36}$
= $\sqrt{100}$
= 10 cm
The slant height of the cone = radius of sector = 10 cm
Hence, the correct answer is 10.

Correct Answer: Battle of Aliwal

Solution : The correct option is the Battle of Aliwal.

The Mughals were not involved in the Battle of Aliwal. This battle was fought on January 28. It was fought between British and Sikh forces. The British forces were led by Sir Harry Smith

Correct Answer: $-\sqrt{2}$

Solution : Given,
$\sin \theta+\cos \theta=\sqrt{2} \cos \theta$
Squaring both sides, we get
$\sin^2θ+\cos^2θ+2\sinθ\cosθ=2\cos^2θ$
⇒ $\sin^2θ−\cos^2θ+2\sinθ\cosθ=0$
Subtracting $2\sin^2θ$ both sides, we have
⇒ $−\sin^2θ−\cos^2θ+2\sinθ\cosθ=−2\sin^2θ$
⇒ $\sin^2θ+\cos^2θ−2\sinθ\cosθ=2\sin^2θ$
⇒ $(\cosθ−\sinθ)^2=2\sin^2θ$
⇒ $\cosθ−\sinθ=\sqrt2\sinθ$
⇒ $\sinθ-\cosθ=-\sqrt2\sinθ$
⇒ $\frac{\sin \theta-\cos \theta}{\sin \theta}=\frac{-\sqrt2\sinθ}{\sinθ}$
$=-\sqrt2$
Hence, the correct answer is $-\sqrt2$

Correct Answer: 180

Solution : In a row of the given table, multiply the first and second numbers and then divide by 2 to obtain the third number.

In the first row→(14 × 4) ÷ 2 = 56 ÷ 2 = 28
In the second row→(21 × 6) ÷ 2

Correct Answer: unplanned decumulation of inventory

Solution : The correct answer is unplanned decumulation of inventory.

Unplanned decumulation of inventory is the term used to describe an unanticipated drop in the product stock as a result of an increase in sales. Planned decumulation of inventories refers to the deliberate

Correct Answer: Reflation

Solution : The correct answer is Reflation.

The term reflation refers to a modest level of controlled inflation. It is simply the process of boosting the economy following a drop in the economic cycle, either by raising the money supply or by lowering taxes, to return the

Correct Answer: 42 years

Solution : Given:
5 years ago son's age = 16 years
Son's present age = 16 + 5 = 21 years
Now according to the question –
Age of mother when the son was born (21 years ago) = Present age of the son
21 years

Correct Answer: 7 – 49

Solution : Let's check the options –

First option: 3 – 27 (27 is the cube of the number 3.)
Second option: 2 – 8 (8 is the cube of the number 2.)
Third option: 4 – 64 (64 is the cube of the number

Correct Answer: Land donated for the maintenance of a school

Solution : The correct answer is Land donated for the maintenance of a school.

The term "Shalabhoga" refers to the land donated for the maintenance of a school.

According to the Chola inscriptions, there were five types of "land