Correct Answer: (19, 23, 29)

Solution : Given:
(29, 31, 37); (11, 13, 17)

Here, the given set of numbers are consecutive prime numbers.
Let's check the options –
First option: (17, 19, 29)→After 19, the next prime number is 23. Therefore, this set does not consist of consecutive prime

Correct Answer: Zone of degradation

Solution : The correct option is zone of degradation.

The lack of fish in a river might be an indication of zone of degradation  within that ecosystem. Because fish are sensitive to changes in water quality and habitat conditions, their absence frequently indicates issues such

Correct Answer: $\frac{240}{37}$

Solution : Word done by Rohan and Mohit in one day = $\frac{1}{8}$ ---------------------(1)
Work done by Mohit and Vikas in one day = $\frac{1}{10}$ ----------------------(2)
Work done by Vikas and Rohan in one day = $\frac{1}{12}$ ---------------------(3)
Adding (1), (2), and (3), we get
2(Work done

Correct Answer: 0

Solution : $\sin 47^{\circ} \cos 33^{\circ} -\cos 43^{\circ} \sin 57^{\circ}$
= $\sin 47^{\circ} \cos 33^{\circ}-\cos (90^\circ-47^{\circ} )\sin (90^\circ-33^{\circ})$
= $\sin 47^{\circ} \cos 33^{\circ}-\sin 47^{\circ} \cos 33^{\circ}$
= $0$
Hence, the correct answer is 0.

Correct Answer: BGYPW

Solution : Given:

MIGHT is written as KGEFR

Here, M – 2 = K ; I – 2 = G ; G – 2 = E ; H – 2 = F ; T – 2 = R

Similarly, DIARY will be coded as:

D – 2

Correct Answer: $\frac{q}{p}$

Solution : Given that $\cos\theta=\frac{p}{\sqrt{p^{2}+q^{2}}}$.
⇒ $\cos^2\theta =\frac{p^2}{p^2+q^2} $
Using, $\sin^2\theta + \cos^2\theta = 1$
⇒ $\sin^2\theta = 1-\cos^2\theta$
⇒ $\sin^2\theta = 1-\frac{p^2}{p^2+q^2}$
⇒ $\sin^2\theta = \frac{q^2}{p^2+q^2}$
⇒ $\sin\theta=\frac{q}{\sqrt{p^{2}+q^{2}}}$
⇒ $\tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{\frac{q}{\sqrt{p^{2}+q^{2}}}}{\frac{p}{\sqrt{p^{2}+q^{2}}}}=\frac{q}{p}$
Hence, the correct answer is $\frac{q}{p}$.

Correct Answer: Devprayag

Solution : The correct option is Devprayag.

The Alaknanda River joins the Bhagirathi River at Devprayag in the Indian state of Uttarakhand. This confluence is a significant geographical and religious site. The Alaknanda originates from the Satopanth glacier in Uttarakhand in the Himalayas. The Bhagirathi originates

Correct Answer: Always similar.

Solution :
We have, $D$ and $E$ are the points on $AB$ and $BC$. Such that $AC$ is parallel to $DE$.
In $\Delta ABC$ and $\Delta DBE$,
$\angle A=\angle D$ (Corresponding angle)
$\angle C=\angle E$ (Corresponding angle)
$\therefore \Delta ABC\sim\Delta DBE$ (by AA similarity)
Hence, the

Correct Answer: egotism

Solution : The correct choice is the fourth option.

The sentence describes someone who is unable to accept criticism due to his excessive pride or self-importance, which aligns with the meaning of conceit. Egotism refers to an exaggerated sense of self-importance or self-centeredness, leading to an

Correct Answer: Coimbatore

Solution : The correct answer is Coimbatore.

Coimbatore faces agricultural challenges as increased salinity renders its soil unfit for cultivation. Elevated salt levels hamper plant growth by hindering water and nutrient absorption, ultimately lowering crop yield, and risking crop failure. Maintaining a balanced salt content in