Correct Answer: 42

Solution : Given:
12 : 20 :: 30 : ?

The number in each pair is the sum of a natural number and its square.
Like, (12 : 20)→(3)² + 3 = 9 + 3 = 12
(4)² + 4 = 16 + 4 =

Correct Answer: IRJYBO

Solution : Given:
RATION is written as OXQFLK.

Subtract 3 from the place value of each letter of RATION, to get the required code –
R – 3 = O; A – 3 = X; T – 3 = Q; I – 3 = F; O –

Correct Answer: 6

Solution : Prime factors of 
$72 = 2\times 2\times 2\times 3\times 3$
$108 = 2\times 2\times 3\times 3\times 3$
$2010 = 2\times 3\times 5\times 67$
$\therefore$ HCF of 72, 108, and 2010 is 2$\times$3 which is equal to 6.
Hence, the correct answer is 6.

Correct Answer: Baba Amte

Solution : The Correct Answer is  Baba Amte

A center for the treatment, recovery, and empowerment of leprosy sufferers. The center expanded to include initiatives for people with disabilities and to support programs in health care, agriculture, small-scale industry, and conservation. Baba Amte, a well-known social

Correct Answer: PRSQ

Solution : The correct choice is the first option.

Explanation:

• The logical sequence starts with sentence P, which introduces the concept of "smart farming" as the application of information and data technologies for optimising farming systems.
• Sentence R follows, emphasising the focus on access to

Correct Answer: Warren Hastings

Solution : The correct option is Warren Hastings.

Bengal's first Governor General was Warren Hastings. The Supreme Council of Bengal was presided over by English statesman Warren Hastings. The British Empire in India is recognised as having its beginnings with him and Robert Clive.

Correct Answer: Directive Principles of State Policy

Solution : The correct option is Directive Principles of State Policy.

The Directive Principles of State Policy, which are written in Part IV of the Indian Constitution, embody the ideals of a welfare state. The Directive Principles of State Policy establish standards

Correct Answer: $\frac{7 \sqrt{3}}{54}$

Solution : Given that $\frac{\sin ^2 \theta}{\cos ^2 \theta-3 \cos \theta+2}=1$,
$⇒\sin ^2 \theta = \cos ^2 \theta-3 \cos \theta+2$
$⇒\cos ^2 \theta - \sin ^2 \theta - 3 \cos \theta + 2 = 0$
Since $\cos ^2 \theta = 1 - \sin ^2 \theta$, 
$⇒1

Correct Answer: Photovoltaic cell

Solution : The correct option is Photovoltaic cell.

A photovoltaic cell, often known as a solar cell, is an electronic device that transforms light energy into electrical energy. It is a semiconductor device that generates an electric current by using the photovoltaic effect. The photovoltaic effect

Correct Answer: 50

Solution : Given:
(10 C 4) A (4 C 4) B 6 = ?

After replacing the letters with mathematical signs, the equation becomes –
= (10 × 4) + (4 × 4) – 6
= 40 + 16 – 6
= 56 – 6
= 50