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  • Question 1
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    Choose the correct sentence from the following:

  • Question 2
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    If f(x) denotes the number of prime numbers not greater than x, then what is the value of \(f(f(100))\)

  • Question 3
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    Suppose you have sufficient amount of rupee currency in three denominations: Rs. 1, Rs. 10, and Rs. 50. In how many different ways can you pay a bill of Rs. 107.

  • Question 4
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    Bag x contains 3 red and 5 black balls and bag y contains 4 red and 4 black balls. One bag is selected at random and from the selected bag one ball is drawn. What is the probability that the ball drawn is red?

  • Question 5
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    The AI system developed by researchers at University College London and Babylon Health relies on causation rather than correlation to pinpoint what could be wrong with people, unlike pre-existing AI systems. The new AI system is more accurate and even outperformed real-life doctors in a small, controlled trial. Hence it is more accurate than pre-existing AI systems and even outperformed real-life doctors in a small, controlled trial.

    Which of the following can be logically inferred from the above sentences?

  • Question 6
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    Mr. Gupta decided to walk down the escalator of a mall. He found that if he steps down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 steps, he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the escalator in steps?

  • Question 7
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    Five players Prashant, Prabhu, Prince, Prem, and Piyush played five overs of cricket among themselves. Each of the five players bowled exactly one over and also batted exactly for one over. The runs conceded by the five bowlers in the respective overs bowled by them are 1, 2, 3, 4, and 5, not necessarily in the same order. Prashant bowled to Prem and conceded 1 run and he scored 2 runs in Prabhu’s over. Prince neither scored 3 runs nor conceded 3 runs. Prem did not bowl to Prince. Prabhu batted when Prince bowled and scored 5 runs.

    Which of the following statement cannot be true? 

  • Question 8
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    Given the sequence A, B, B, C, C, C, D, D, D, D, ...etc., that is one A, two Bs, three Cs, four Ds, five Fs, and so on. The 240th letter in the sequence will be:

  • Question 9
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    A rectangular sheet of paper of length 30 cm and breadth 18 cm can be transformed into curved surface of a right circular cylinder in two ways either by rolling along its length or along its breadth. Find the ratio of the volumes of the two cylinders thus formed.

  • Question 10
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    Two persons, A and B are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?

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