Correct Answer: 27

Solution : $X\propto Y^2⇒ X = kY^2$
⇒ $\frac{\mathrm{X{_1}}}{\mathrm{Y^2{_1}}} = \frac{\mathrm{X{_2}}}{\mathrm{Y^2{_2}}} $
⇒ $\frac{12}{2^2} = \frac{\mathrm{X{_2}}}{3^2}$
⇒ $\mathrm{X{_2}} = \frac{12}{4}\times 9$
⇒ $\mathrm{X{_2}} = 27$
Hence, the correct answer is 27.

Correct Answer: 1800

Solution : 120 = 2 × 2 × 2 × 3 × 5
450 = 2 × 3 × 3 × 5 × 5
LCM of 120 and 450 is (2 × 2 × 2 × 3 × 3 × 5 × 5) = 1800
i.e. 1800 is the least common multiple of 120 and 450.
Hence, the correct answer is 1800.

Correct Answer: 1930

Solution : The correct option is - 1930

The Civil Disobedience Movement was launched by Mahatma Gandhi on April 6, 1930. This movement was a nonviolent protest against the British colonial government's salt monopoly and other oppressive policies. As part of the movement, Gandhi and his followers defied the Salt Laws by marching to the Arabian Sea to make their own salt. The movement aimed to exert economic and political pressure on the British authorities and played a significant role in India's struggle for independence.

Correct Answer: A Primary key is also a candidate key.

Solution : The correct answer is A Primary key is also a candidate key.

In a relational database, a candidate key is a set of one or more columns that can uniquely identify a row in a table. A primary key is a specific candidate key that is chosen to uniquely identify rows within a table.

Correct Answer: not only cold but also

Solution : The correct choice is the third option.

Explanation: The original sentence, "The place was not cold only and also damp," is grammatically incorrect. We would use the correlative conjunctions "not only...but also" to link two similar ideas ("cold" and "damp"). This structure helps to emphasise both qualities of the place.

Therefore, the revised sentence is: "The place was not only cold but also damp."

Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, only the second option figure is embedded in the given question figure.

Hence, the second option is correct.

Correct Answer: Only (i) and (iii)

Solution :
Given: In $\triangle PQR, PQ=QR$ and $O$ is an interior point of $\triangle PQR$ such that $\angle OPR=\angle ORP$.
Since $PQ = QR$, so $\triangle PQR$ is an isosceles triangle.
From the given data we cannot say that $O$ is the centroid of the $\triangle PQR$.
Also, $PQ=QR, OP=OR$ and $OQ=OQ$
So, $\triangle PQO$ and $\triangle RQO$ are congruent.
Hence, the correct answer is Only (i) and (iii).

Correct Answer: 100%

Solution : The foreign exchange reserves in 1997–1998 were $5040$ million, as seen in the bar graph.
2520 million was the amount of foreign exchange reserves in 1993–94.
Change in the number of reserves = $5040 - 2520= 2520$
Percentage increase = $\frac{\text{Difference}}{\text{The foreign exchange reserves in 1993–1994}} \times 100$.
= $\frac{2520}{2520}\times 100=100$%
Hence, the correct answer is 100%.

Correct Answer: didn’t they?

Solution : The third option is the correct answer.

The sentence is a statement followed by a question tag. In English, when the main clause is in the past tense, the tag question should also be in the past tense. So, "didn't they?" is the correct form.

A question tag is a very short clause at the end of a statement that changes the statement into a question. A question tag is formed by inverting the subject and verb of a statement.

Therefore, the correct sentence should be: "They met yesterday, didn't they?"

Correct Answer: Not a member of the Parliament

Solution : The correct option is Not a member of the Parliament.

The Vice-President of India is not a member of either house of Parliament. The Vice-President is a separate constitutional office and does not sit in the Rajya Sabha (Council of States) or the Lok Sabha (House of People). Instead, the Vice-President's primary responsibility is to preside over the Rajya Sabha and undertake other constitutionally mandated duties. The Vice-President is chosen by an electoral college comprised of members of both houses of Parliament, as well as representatives of state and union territory legislatures. Once elected, the Vice-President's major role is to serve as the Rajya Sabha's ex-officio Chairman.