JEE Advanced questions
3844 published questions with worked solutions.
- If |z_1+z_2|=|z_1-z_2| then
- If |z_1+z_2|^2=|z_1|^2+|z_2|^2 then
- If ^ n C_ r-1 = 56, ^ n C_ r = 28 and ^ n C_ r+1 = 8 then r is equal to
- In a group of boys, the number of arrangements of 4 boys is 12 times the number of arrangements of 2 boys. The number of boys in...
- From a group of persons the number of ways of selecting 5 persons is equal to that of 8 persons. The number of persons in the...
- The total number of 9-digit numbers of different digits is
- The number of 6-digit numbers that can be made with the digits 0, 1, 2, 3, 4 and 5 so that even digits occupy odd places, is
- Seven different lecturers are to deliver lectures in seven periods of a class on a particular day. A, B and C are three of the...
- The total number of 5-digit numbers of different digits in which the digit in the middle is the largest is
- The total number of ways in which six '+' and four '−' signs can be arranged in a line such that no two '−' signs occur together...
- The total number of words that can be made by writing the letters of the word PARAMETER so that no vowel is between two...
- Let S be the set of all functions from the set A to the set A. If n(A) = k then n(S) is
- Let A be the set of 4-digit numbers a_1a_2a_3a_4 where a_1 > a_2 > a_3 > a_4 then n(A) is equal to
- The number of numbers divisible by 3 that can be formed by four different even digits is
- The number of 5-digit even numbers that can be made with the digits 0, 1, 2 and 3 is
- The number of 4-digit numbers that can be made with the digits 1, 2, 3, 4 and 5 in which at least two digits are identical, is
- The number of words that can be made by rearranging the letters of the word APURBA so that vowels and consonants alternate is
- The number of numbers of 9 different nonzero digits such that all the digits in the first four places are less than the digit in...
- In the decimal system of numeration the number of 6-digit numbers in which the digit in any place is greater than the digit to...
- The number of 5-digit numbers in which no two consecutive digits are identical is