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CAT Math Practice Questions - Probability

Question 1:

[x] = greatest integer less than equal to x. If x lies between 3 and 5. What is the probability than [x²] = [x]²?

Explanation

Question 2:

John looks at the clock at some arbitrary time between 4pm and 6 pm and notices that the angle between the two hands is an acute angle. He looks at the clock exactly 15 minutes later, what is the probability that during this observation also he sees that the angle between the hour and minute hands to be an acute-angle?

Explanation

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