JEE Advanced questions
3844 published questions with worked solutions.
- The resolved parts of the force vector 5 i+4 j+2 k along and perpendicular to the vector 3 i+4 j-5 k are u and v respectively....
- 4 five-rupee coins, 3 two-rupee coins and 2 one-rupee coins are stacked together in a column at random. The probability that the...
- Two cards are drawn at random from a pack of 52 cards. The probability of getting at least a spade and an ace is
- A five-digit number is written down at random. The probability that the number is divisible by 5 and no two consecutive digits...
- If the letters of the word ATTEMPT are written down at random, the chance that all Ts are consecutive is
- In a single cast with two dice the odds against drawing 7 is
- 7 white balls and 3 black balls are placed in a row at random. The probability that no two black balls are adjacent is
- 4 gentlemen and 4 ladies take seats at random round a table. The probability that they are sitting alternately is
- Let x = 33^ n . The index n is given a positive integral value at random. The probability that the value of x will have 3 in the...
- Three dice are thrown simultaneously. The probability of getting a sum of 15 is
- Three dice are thrown. The probability of getting a sum which is a perfect square is
- Three different numbers are selected at random from the set A = 1, 2, 3, , 10 . The probability that the product of two of the...
- There are 7 seats in a row. Three persons take seats at random. The probability that the middle seat is always occupied and no...
- A second-order determinant is written down at random using the numbers 1, -1 as elements. The probability that the value of the...
- x_1, x_2, x_3, , x_ 50 are fifty real numbers such that x_r < x_ r+1 for r = 1, 2, 3, , 49. Five numbers out of these are picked...
- Three numbers are chosen at random without replacement from the set A = x 1 x 10, x N . The probability that the minimum of the...
- From a group of 10 persons consisting of 5 lawyers, 3 doctors and 2 engineers, four persons are selected at random. The...
- 10 different books and 2 different pens are given to 3 boys so that each gets equal number of things. The probability that the...
- Two distinct numbers are selected at random from the first twelve natural numbers. The probability that the sum will be divisible...
- The probability of a number n showing in a throw of a dice marked 1 to 6 is proportional to n. Then the probability of the number...