JEE Advanced questions
3844 published questions with worked solutions.
- From a box containing 20 tickets of value 1 to 20, four tickets are drawn one by one. After each draw, the ticket is replaced....
- A dice is thrown 2n+1 times, n N. The probability that faces with even numbers show odd number of times is
- An ordinary dice is rolled a certain number of times. The probability of getting an odd number 2 times is equal to the...
- A man firing at a distant target has 10% chance of hitting the target in one shot. The number of times he must fire at the target...
- There are four machines and it is known that exactly two of them are faulty. They are tested one by one in a random order till...
- Let A= 2,3,4, ,20,21 . A number is chosen at random from the set A and it is found to be a prime number. The probability that it...
- All the spades are taken out from a pack of cards. From these cards, cards are drawn one by one without replacement till the ace...
- A point is selected at random from the interior of a circle. The probability that the point is closer to the centre than the...
- A, B and C are contesting the election for the post of secretary of a club which does not allow ladies to become members. The...
- There are 4 white and 3 black balls in a box. In another box there are 3 white and 4 black balls. An unbiased dice is rolled. If...
- The probabilities that a student passes in mathematics, physics and chemistry are m, p and c respectively. Of these subjects, a...
- If A and B are two events such that P(A B) 34 and 18 P(A B) 38 then
- Given that x [0,1] and y [0,1]. Let A be the event of (x,y) satisfying y^2 x and B be the event of (x,y) satisfying x^2 y. Then
- The probability that exactly one of the independent events A and B occurs is equal to
- If A and B are independent events such that 0<P(A)<1, 0<P(B)<1 then
- For any two events A and B
- A line makes angles , , with the positive directions of the axes of reference. The value of 2 + 2 + 2 is
- If a line makes angles of 60^ and 45^ with the positive directions of the x-axis and y-axis respectively then the acute angle...
- If is an angle given by = ^2 + ^2 + ^2 ^2 + ^2 + ^2 where , , are the angles made by a line with the positive directions of the...
- If the direction cosines of the line joining the origin and a point at unit distance from the origin are 1 3 , - 12, then the...