Test Preparation on CAT paper4

Find E(S₄₉₃₉)

Find E(S₄₉₃₉)

Find Z(S₁₀₀₀)

Find Z(S₁₀₀₀)

How many six-digit numbers can be formed satisfying the given conditions?

If the digit in the units place is 3, then what is the digit in the hundreds place?

How many different digits are possible in the first position from the left?

In a box there are 90 slips numbered from 1 to 90. Ramu picks up four slips at random one after the other without replacement. What is the probability that the numbers on the slips in the order he has picked up are ascending?

How many positive integral values between 17 and 337 (both values inclusive) can z assume, given that z = 2x + 7y, where x and y are natural numbers?

Anne, Bet, and Corr are three bees that start from the same flower and fly away in three different directions in search of nectar. After some time Corr is as distant from the mid point ‘D’ of the straight line joining Anne and Bet as Anne is from D. Anne and Bet are 300 m apart while Bet is 180 m from Corr. At this instant Anne sends a distress signal which is received simultaneously by the other two bees. If a bee can fly at a speed of 3 m/sec then who among Bet and Corr can reach Anne quicker and by how many seconds?