Correct Answer: Julius Lothar Meyer

Solution : The correct option is Julius Lothar Meyer.

The German chemist who first showed a graphical representation of the periodicity of an atomic volume plotted against atomic weight was Julius Lothar Meyer. Meyer, along with Dmitri Mendeleev, independently developed early versions of the

Correct Answer: biased

Solution : The third option is correct.

Explanation: The grammatical hint here is to find a term that conveys a lack of impartiality or fairness, as implied by the word partisan. Biased aligns with the idea of being inclined towards a particular viewpoint or group,

Correct Answer: prestige

Solution : The correct option is the third option.

Explanation:
In the context of the sentence, reputation refers to the esteem or regard that Pankaj endeavours to maintain for his institution, which closely aligns with the meaning of prestige, which also means reputation or influence arising from

Correct Answer: Terrible

Solution : The correct choice is the first option.

Stupendous signifies something highly impressive, while terrible represents something of very poor quality, causing distress or dissatisfaction. They stand at opposite ends regarding the level of excellence or quality of something.

The meanings of the other words

Correct Answer: 350 crores

Solution : The correct option is 350 crores.

Gross domestic product (GDP) at factor cost is calculated by subtracting the consumption of fixed capital from GDP at market price and then adjusting for indirect taxes and subsidies. The formula is as follows:

GDP at Factor Cost

Correct Answer: 92nd Amendment

Solution : The correct option is 92nd.

The 92nd Amendment Act of 2003 is the constitutional amendment that allowed Bodo, Dogri, Maithili, and Santhali to be listed in the Eighth Schedule of the Indian Constitution. This amendment promoted linguistic variety and cultural representation by designating these

Correct Answer: To smell a rat

Solution : The correct choice is the fourth option.

The expression, to smell a rat means to suspect that something is wrong or suspicious. In this context, the detective suspected Shyam due to his unusual behaviour, indicating that he believed something deceptive or

Correct Answer: 12 cm

Solution :

Let MN and PQ be two parallel tangents
and AO = OB = 6 cm
So, AB = AO + OB = 6 + 6 = 12 cm
Hence, the correct answer is 12 cm.

Correct Answer:

Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on Line PQ). So, the left side of the reflected image will appear

Correct Answer: $60^{\circ}$

Solution : Given: The value of $\frac{\cos ^2 \theta}{\cot ^2 \theta–\cos ^2 \theta}=3$, where $0^{\circ}<\theta<90^{\circ}$.
Use the trigonometric identity, $\sin^2 \theta+\cos^2 \theta=1$.
$\frac{\cos ^2 \theta}{\cot ^2 \theta–\cos ^2 \theta}=3$
⇒ $\cos ^2 \theta=3(\cot ^2 \theta–\cos ^2 \theta)$
⇒ $\cos ^2 \theta=3(\frac{\cos ^2 \theta}{\sin^2 \theta}–\cos ^2 \theta)$
Dividing