MHT CET questions
29293 published questions with worked solutions.
- Consider the following data 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, then variance of the numbers so obtained...
- The SD of 15 items is 6 and if each item is decreases by 1, then standard deviation will be
- Let x_1, x_2, x_3, x_4 and x_5 be the observations with mean m and standard deviation S. The standard deviation of the...
- The mean and variance of n observations x_1, x_2, x_3, , x_n are 5 and 0, respectively. If _ i=1 ^ n x_i^2 = 400, then the value...
- If SD of n observations x_1, x_2, x_3, , x_n is 5, then SD of 2 - 3x_1, 2 - 3x_2, 2 - 3x_3, , 2 - 3x_n is
- Five persons A, B, C, D and E are in queue of a shop. The probability that A and E are always together, is
- A four-digit number is formed by the digits 1, 2, 3, 4 with no repetition. The probability that the number is odd, is
- If the integers m and n are chosen at random from 1 to 100, then the probability that a number of the form 7^n + 7^m is divisible...
- One mapping (function) is selected at random from all the mappings of the set A = 1, 2, 3, , n into itself. The probability that...
- Ram is visiting a friend. Ram knows that his friend has 2 children and 1 of them is a boy. Assuming that a child is equally...
- Three of the six vertices of a regular hexagon are chosen at random, The probability that the triangle with three vertices is...
- A six-faced unbiased die is thrown twice and the sum of the numbers appearing on the upper face is observed to be 7. The...
- If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9, is
- Four fair dice D_1, D_2, D_3 and D_4 each having six faces numbered 1, 2, 3, 4, 5 and 6 are rolled, simultaneously. The...
- An urn contains 8 red and 5 white balls. Three balls are drawn at random. Then, the probability that balls of both colours are...
- A card is drawn from a well shuffled pack of playing cards. The probability that it is a king of a heart, is
- A fair coin is tossed 100 times. The probability of getting tails an odd number of time is
- An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without...
- Out of 3n consecutive natural numbers, 3 natural numbers are chosen at random without replacement. The probability that the sum...
- From a group of 8 boys and 3 girls, a committee of 5 members to be formed. Find the probability that 2 particular girls are...