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JEE Main || Algebra || Super Quiz 11

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Question 1

A five digit number is formed by 1,2,3,4,5 without repetition. find the probability that the number is divisible by 4.

Question 2

If A and B are two independent events, such that

and

Find the value of

Question 3

A bag contains 50 tickets numbered 1,2,...50 and five are withdrawn and arranged in ascending order(x₁ < x₂ < x₃ < x₄ < x₅), probability that x₃=30 is

Question 4

Three players play at total of 9 games. In each game, one person wins and the other two lose; the winner gets 2 points and the losers get -1 each. The number of ways in which they can play all the 9 games and finish each with a zero score is

Question 5

There are exactly twelve Sundays in the period from January 1 to March 31 in a certain year. Then the day corresponding to February 15 in that year is

Question 6

The area of triangle with vertices (K, 0), (4, 0), (0, 2) is 4 square units, then value of K is

Question 7

Find

satisfying the matrix equation

Question 8

If b is the first term of an infinite G.P. whose sum is 5, then b lies in the interval :

Question 9

If a mountain rises every year by a factor 2ft. Find the year by which it is 15000ft if its initial height is 800ft in 2013.

Question 10

If the coefficients of r^th, (r + 1)^th and ( r + 2)^th terms in the binomial expansion of (1 + y)^m are in A.P., then m and r satisfy the equation-

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Jul 13JEE & BITSAT