Correct Answer: 63

Solution : Given: 

In the first column, 8 x 3 = 24 → 24 + 6 = 30

In the second column, 2 x 9 = 18 → 18 + 4 = 22

In the

Correct Answer: 13 days

Solution : A, B, and C can do work separately in 18, 36, and 54 days 
Let the total work = LCM (18, 36, and 54) = 108 units
Efficiency = $\frac{\text{Total work}}{\text{Number of days}}$
So, Efficiency of A = $\frac{108}{16}$ = 6
Efficiency of B

Correct Answer: IMPORTANT

Solution : Given:
IMPROVEMENT

Let's compare all the option words with the word IMPROVEMENT –
First option: ROPE; All the letters of ROPE are present in the word IMPROVEMENT.
Second option: TRIM; All the letters of TRIM are present in the word IMPROVEMENT.
Third option: IMPORTANT; Only

Correct Answer: $\frac{x^{2}}{y\sqrt{y^{2}-x^{2}}}$

Solution : Given:
$\cos 21^{\circ}=\frac{x}{y}$
So, $\cos 69^{\circ}=\cos (90^{\circ}-21^{\circ})=\sin 21^{\circ}= \sqrt{1-\cos^2 21º}=\sqrt{1-\frac{x^2}{y^2}}=\frac{\sqrt{y^2-{x^2}}}{y}$
Also, $\operatorname{cosec21^{\circ}}=\frac{1}{\sin 21^{\circ}}=\frac{y}{\sqrt{y^2-{x^2}}}$
Now, $(\operatorname{cosec21^{\circ}}-\cos 69^{\circ})=\frac{y}{\sqrt{y^2-{x^2}}}-\frac{\sqrt{y^2-{x^2}}}{y}$
⇒ $(\operatorname{cosec21^{\circ}}-\cos 69^{\circ})=\frac{y^2-(y^2-x^2)}{y\sqrt{y^2-{x^2}}}=\frac{x^{2}}{y\sqrt{y^{2}-x^{2}}}$
Hence, the correct answer is $\frac{x^{2}}{y\sqrt{y^{2}-x^{2}}}$.

Correct Answer: Veteran

Solution : The correct choice is the third option. 

A veteran is a person who has considerable experience or has been involved in a particular activity, profession, or occupation for a long time. They are highly skilled or knowledgeable due to their extensive experience.

The meanings

Correct Answer: 36

Solution : Let's check the options —

First option: 56; 56 ÷ 7 = 8. 56 is divisible by 7.

Second option: 28; 28 ÷ 7 = 4. 28 is divisible by 7.

Third option: 36; 36 is not divisible by 7. This option is different from

Correct Answer: consists

Solution : The correct choice is the fourth option.

Consists is the most appropriate word here because it means to be made up of, and the sentence discusses the components of the human psyche, which consist of the ego, superego, and id.

The meanings of other options

Correct Answer: $115^{\circ}$

Solution :

In $\triangle TRS$
$TR=TS$
$\therefore \angle TRS= \angle RST$
Thus, $\angle TRS=65^\circ$
Now, $\angle STQ$ is the angle between the tangent $PTQ$ and chord $TS$
$\therefore \angle STQ=\angle TRS = 65^\circ$
Tangent $PTQ$ is a straight line,
$\therefore \angle PTS+\angle STQ=180^\circ$
⇒ $\angle PTS+65^\circ=180^\circ$
⇒

Correct Answer:

Solution : The correct answer is isohytes.

Isohytes are lines on a map that connect points that have the same quantity of precipitation in a particular time frame. Isohyets represent the areas having same amount of rain. 
 

Additional information-

Isobars- line joining areas having same pressure.

Isotherms- areas

Correct Answer:

Turmeric

Solution : The correct option is Turmeric.

Curcumin is a natural chemical extracted primarily from the rhizomes (underground stems) of the turmeric plant, Curcuma longa. Turmeric is a flowering plant native to South Asia that belongs to the ginger family (Zingiberaceae). Curcumin is the compound that gives