Correct Answer: perhaps

Solution : The third option is the correct answer.

In this context, the sentence structure suggests a sense of uncertainty or possibility, making "perhaps", the most suitable word. It conveys the idea that the gods may see more than we do, but it leaves room for doubt

Correct Answer: MLT^-2

Solution : The correct option is MLT^-2.

Force is a vector quantity. It is defined as the mass of the object or body multiplied by acceleration. It is the pull or push motion of the body. The dimensional formula of force is MLT^-2

Correct Answer: pursue

Solution : The third option is the correct choice.

Pursuing a dream means actively working towards achieving it, which is the intended meaning of the sentence.

The meanings of the other options are as follows:

• Persevere means to persist in an endeavour despite difficulties, but it doesn't

Correct Answer: $5^{100}$

Solution : The HCF of the exponentials 250, 150, 100, and 200 is 50.
So we can write:
$2^{250} = 2^{5\times 50} = (2^5)^{50} = 32^{50}$
$3^{150} = 3^{3\times 50} = (3^3)^{50}=27^{50}$
$5^{100} = 5^{2\times 50} = (5^2)^{50} = 25^{50}$
$4^{200} = 4^{4\times 50} = (4^4)^{50} =

Correct Answer: pageantry

Solution : The correct choice is the third option.

Pageantry refers to an elaborate display or ceremony, especially one involving costumes, music, and procession, which fits well in the context of the sentence.

Therefore, the complete sentence is "The colourful procession was the last item to be

Correct Answer: $\frac{179}{7}$

Solution : Given: Pipe X can fill a tank in 20 hours.
Pipe Y can fill the tank in 35 hours.
Let the capacity of the tank = LCM of 20 and 35 = 140 units
Efficiency of X per hour = $\frac{140}{20}$ = 7 units
Efficiency

Correct Answer: $\frac{1}{b^8-1}$

Solution : $\frac{1}{8}[\frac{1}{b-1}-\frac{1}{b+1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}]$
= $\frac{1}{8}[\frac{(b+1)-(b-1)}{b^2-1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}]$
= $\frac{1}{8}[\frac{2}{b^2-1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}]$
= $\frac{1}{8}[\frac{2(b^2+1)-2(b^2-1)}{b^4-1}-\frac{4}{b^4+1}]$
= $\frac{1}{8}[\frac{4}{b^4-1}-\frac{4}{b^4+1}]$
= $\frac{1}{8}[\frac{4(b^4+1)-4(b^4-1)}{b^8-1}]$
= $\frac{1}{8}[\frac{8}{b^8-1}]$
= $\frac{1}{b^8-1}$
Hence, the correct answer is $\frac{1}{b^8-1}$.

Correct Answer: prejudices

Solution : The correct choice to fill in the blanks is the fourth option.

Prejudice means opinions that are not experienced by oneself, are preconceived, and go correctly in the sentence, as the sentence implies that the brain has some opinions that may not be experienced in

Correct Answer: Shimsha River

Solution : The correct option is Shimsha River.

One of the Kaveri River's tributaries is the Shimsha. The river originates in Tumkur's Devarayanadurga hills. At Chamarajanagar, it enters the Cauvery after flowing for around 221 km from its source. After originating in the Tumkur district,

Correct Answer: has been steadily

Solution : The correct choice is the first option.

Explanation:

The original sentence has a grammatical error in the adverb, steady. The adverb steady should be modified to its adverbial form steadily to correctly describe the manner in which the action is taking