Correct Answer: $\frac{5}{9}$th of the marked price

Solution : Let the marked price = $p$ and the cost price = $q$
According to the question,
∴ 50% of $p$ = 90% of $q$
⇒ $\frac{p×50}{100}=\frac{q×90}{100}$
∴ $q=\frac{5}{9}p$
So, the cost price is $\frac{5}{9}$th of the marked price.
Hence, the correct answer is $\frac{5}{9}$th of the marked price.

Correct Answer: diverted

Solution : The correct word to fill in the blank is the second option.

It means to change the direction or route of something. In the context of the sentence, "diverted" is the most suitable choice because it accurately conveys the idea that the flight's route was changed from its original destination (Jaipur) to Agra airport.

The meanings of the other options are as follows:

Shifted: It means moving or transferring something from one place to another.

Reverted: It means returning to a previous state or condition.

Deflected: It means changing the direction of something by turning it aside.

Therefore, the correct sentence is, "Our flight was diverted from Jaipur to Agra airport."

Correct Answer: 27

Solution : When 8961 is divided by 84, the quotient is 106, and the remainder is 57.
The required number which should be added = Divisor $-$ remainder
= 84 $-$ 57 = 27
Hence, the correct answer is 27.

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).