CAT Questions

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If √(1 + cot2A) = x, then the value of x is

In the question below, there is a word given in bold which is followed by five options. In each of the options, a pair of words is given which is either the pair of synonyms or antonyms or synonym & antonym of the word given in bold. Choose that pair as your answer.

Recalcitrant

In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one which best express the
same sentence in Indirect/Direct speech.

The preacher said, "May God grant peace to the departed!"

What is the playing time of National Anthem of India for the full and shorter versions in seconds?

In which of the following situations is mechanical energy most likely to be conserved?

What will be the value of r2+p2+s2-rp-ps-rs when r = 4, p = 2, s = 8?

Which of the following phrases (i), (ii), and (iii) given below each sentence should replace the phrase printed in bold letters to make the sentence grammatically correct? Choose the best option among the five given alternatives that reflect the correct use of phrase in the context of the grammatically correct sentence. If the sentence is correct as it is, mark (E) i.e., "No correction required" as the answer.
The government cannot realize good price from certain assets but their disposal will helped in stop the drain.
i. Help in stoppage in the drain
ii. Help stop the drain
iii. Be helping in draining

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it
by selecting the appropriate option.

The Directors failed to understand the ______________ behind the decision to suspend the manager.