Correct Answer: PRQS

Solution : The correct choice is the first option.

Explanation:

The first choice helps create a coherent sentence. Part (P) introduces us to the idea that the shape of an egg has been regarded as high due to its shape. Part (R) talks about the evolution of

Correct Answer: Atheist

Solution : The correct choice is the first option.

Explanation: An atheist is a noun that refers to a person who does not believe in the existence of God. It is a specific term that accurately describes the belief system, or lack thereof, regarding the existence

Correct Answer: 616

Solution : Given:
730, 692, 654, ?, 578

Let's check the difference between each number of the given series –
Like, 730 – 692 = 38
And, 692 – 654 = 38
Thus, the common difference between the two numbers is 38.
Similarly, 654 – 38 =

Correct Answer: No improvement

Solution : The correct choice is the third option.

The underlined portion is grammatically correct. The sentence effectively conveys the intended meaning, indicating that the appointment lasted close to one hour.

Therefore, the correct answer is no improvement.

Correct Answer: Let off

Solution : The correct option is the second option.

"Let off" means to punish someone lightly, or not at all, and correctly fits in the sentence conveying the intended meaning.

The meanings of other options are as follows:

• "Let out" means to make a sound or

Correct Answer: mp

Solution : Given:
1. will come back ⇒ mp rq pl
2. back to school ⇒ jn st mp 

By comparing all the two coded sentences, we find that –
In sentences 1 and 2, back and mp are common.

So, back will be coded mp.

Correct Answer: Heinrich Friedrich Lenz

Solution : The correct answer is Heinrich Friedrich Lenz.

Heinrich Friedrich Lenz was a Russian physicist of German origin who independently formulated what is known as Lenz's Law in 1834. Lenz's law articulates that when a magnetic field around a conductor changes, the induced

Correct Answer: $\mathrm{p}^2-\mathrm{q}^2=4 \sqrt{\mathrm{pq}}$

Solution : Given, $\sin \theta+\tan \theta=\mathrm{p}$ and $\tan \theta-\sin \theta=\mathrm{q}$
Now, $\mathrm{pq}=(\tan \theta-\sin \theta)(\tan \theta+\sin \theta)$
Using $(a-b)(a+b)=a^2-b^2$
⇒ $\mathrm{pq}=\tan^2\theta-\sin^2\theta$
⇒ $\mathrm{pq}=\frac{\sin^2\theta}{\cos^2\theta}-\sin^2\theta$
⇒ $\mathrm{pq}=\sin^2\theta(\frac{1}{\cos^2\theta}-1)$
⇒ $\mathrm{pq}=\sin^2\theta(\frac{1-\cos^2\theta}{\cos^2\theta})$
We know, $\sin^2\theta+\cos^2\theta = 1$
⇒ $\mathrm{pq}=\sin^2\theta(\frac{\sin^2\theta}{\cos^2\theta})$
⇒ $\mathrm{pq}=\sin^2\theta\tan^2\theta$
And, $\mathrm{p^2}=(\sin \theta+\tan \theta)^2$
$=\sin^2 \theta+\tan^2 \theta+2\sin\theta\tan\theta$
Also, $\mathrm{q^2}=(\tan \theta-\sin \theta)^2$

Correct Answer: 42

Solution : Given, Area = 346.5 cm$^2$
Angle ($\theta$) = 22.5°
Let $r$ be the radius.
Area $=\frac{\theta}{360°}\times \pi r^2$
⇒ $346.5=\frac{22.5°}{360°}\times \frac{22}{7}\times r^2$
⇒ $\frac{346.5\times360\times7}{22.5\times 22}=r^2$
⇒ $r^2 = \frac{873180}{495}$
⇒ $r^2=1764$
⇒ $r=\sqrt{1764}$
⇒ $r$ = 42 cm
Hence, the correct answer is 42.

Correct Answer: 60%

Solution : Given: The ratio of TVs and rice cookers is 2 : 3.
Let the amount of TVs be 2x and rice cookers be 3x.
Sum of TVs and rice cookers = 2x + 3x = 5x
$\therefore$ Percentage of rice cookers = $\frac{3x}{5x}\times100= 60\%$
Hence,