JEE Advanced questions
3844 published questions with worked solutions.
- The number of ways in which the letters of the word ARTICLE can be rearranged so that the even places are always occupied by...
- A cabinet of ministers consists of 11 ministers, one minister being the chief minister. A meeting is to be held in a room having...
- The number of ways in which a couple can sit around a table with 6 guests if the couple take consecutive seats is
- There are 4 mangoes, 3 apples, 2 oranges and 1 each of 3 other varieties of fruits. The number of ways of selecting at least one...
- The number of proper divisors of 2^p 6^q 15^r is
- The number of proper divisors of 1 800 which are also divisible by 10, is
- The number of odd proper divisors of 3^p 6^m 21^n is
- The number of even proper divisors of 1 008 is
- The number of ways to give 16 different things to three persons A, B, C so that B gets 1 more than A and C gets 2 more than B, is
- If 3n different things can be equally distributed among 3 persons in k ways then the number of ways to divide the 3n things in 3...
- In a packet there are m different books, n different pens and p different pencils. The number of selections of at least one...
- The number of 6-digit numbers that can be made with the digits 1, 2, 3 and 4 and having exactly two pairs of digits is
- The number of words of four letters containing equal number of vowels and consonants, repetition being allowed, is
- The number of ways in which 6 different balls can be put in two boxes of different sizes so that no box remains empty is
- The number of arrangements of the letters of the word BHARAT taking 3 at a time is
- The number of positive integral solutions of x+y+z=n, n N , n 3, is
- The number of non-negative integral solutions of a+b+c+d=n, n N , is
- The number of points (x,y,z) in space, whose each coordinate is a negative integer such that x+y+z+12=0, is
- If a,b,c are three natural numbers in AP and a+b+c=21 then the possible number of values of the ordered triplet (a,b,c) is
- If a,b,c are positive integers such that a+b+c 8 then the number of possible values of the ordered triplet (a,b,c) is