Correct Answer: 7560

Solution : The LCM (Least Common Multiple) of 15, 24, 35, and 54 can be found using the prime factorization method. 
Prime factorization of 15 = $3^1 \times 5^1$
Prime factorization of 24 = $2^3 \times 3^1$
Prime factorization of 35 = $5^1 \times 7^1$
Prime factorization

Correct Answer: state

Solution : The correct answer is state.

Robert Morrison MacIver was a sociologist, political scientist, and educator. He expressed belief in the compatibility of individualism and social organisation. MacIver says “Kinship creates society and society at length creates state”. MacIver, hinting at the link between kinship, social

Correct Answer: abnormally heavy downpours of rain, associated with thunderstorms

Solution : The correct answer is abnormally heavy downpours of rain, associated with thunderstorms.

Cloudburst is an extreme weather phenomenon in which abnormally high rainfall is witnessed over a short period. It is often associated with hail and thunderstorms. Usually,

Correct Answer: 19 : 25

Solution : The total number of scooters sold by stores A and B together in January = 212 + 168 = 380
The total number of scooters sold by stores D and E together in March = 255 + 245 = 500
Required ratio =

Correct Answer: by

Solution : The correct answer is the first option.

In this context, "by" is used to indicate the method or means by which Dr. Sharma concluded his speech, which was by stressing the Buddha's teachings.

Therefore, the complete sentence should be: Dr. Sharma concluded his speech by

Correct Answer:

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

Correct Answer: Quartzite

Solution : The correct option is Quartzite.

The metamorphic rock known as quartzite is created when the intense heat and pressure of regional metamorphism cause the individual quartz grains in sandstone to recrystallise together with the previous cementing substance.

Correct Answer: –1

Solution : Given: $\sin^2\theta = \cos^3\theta$
Squaring both sides,
⇒ $\sin^4\theta = \cos^6\theta$ -------------(i)
Now, $(\cot^2\theta-\cot^6\theta)$
= $\cot^2\theta - \frac{\cos^6 \theta}{\sin^6 \theta}$
= $\cot^2\theta -\frac{\sin^4 \theta}{\sin^6 \theta}$ [From equation (i)]
= $\cot^2\theta -\frac{1}{\sin^2 \theta}$
= $\cot^2\theta - \operatorname{cosec}^2\theta$
= $-1$
Hence, the correct answer is –1.

Correct Answer: Agonist

Solution : The correct answer is Agonist.

The drugs that mimic natural messengers by activating receptors are called agonists. These substances mimic the effects of endogenous neurotransmitters, or hormones, by binding to and activating specific receptors in the body. By doing so, agonists can elicit biological responses

Correct Answer: He was elected to the Lok Sabha from Uttarkashi in Uttarakhand.

Solution : The incorrect option is He was elected to the Lok Sabha from Uttarkashi in Uttarakhand.

Sunderlal Bahuguna battled for the preservation of Himalayan forests, first as the well-known leader and activist of the Chipko