A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224 . If the smaller of the numbers on the removed cards is k, then k - 20 =: (Mathematics)

A pack contains

n

cards numbered from 1 to

n

. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224 . If the smaller of the numbers on the removed cards is

k

, then

k - 20 =

The area enclosed by the curves xy+4y=16 and x+y=6 is equal to :

Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated, is

Let A = { 1,3,4,6,9} and B = { 2,4,5,8,10}. Let R be a relation defined on A X B such that R = {( ( a_{1},b_{1} ), ( a_{2},b_{2} )):a_{1} ? b_{2} and b_{1} ? a_{2}}. Then the number of elements in the set R is

The integral int_0^1 \frac{1}{7^{\left[\frac{1}{x}\right]}} {dx}, where [.] denotes the greatest integer function is equal to

For integers n and r let n r nCr ifn ge r ge 0 0 otherwise

Let Z be the set of integers. If A = { x in Z:2^{(x + 2) ( x^{2} - 5x + 6 )} = 1 } and = { x in Z : - 3 < 2x - 1 < 9}, then the . number of subsets of the set A X B is

The area of the region enclosed by the parabolas y=4x-x^2 and 3y=(x-4)^2 is equal to

The minimum number of elements that must be added to the relation R = {(a,b),(b,c),(b,d)} on the set { a,b,c,d} so that it is an equivalence relation is

Area of the region (x,y):x^2+(y-2)^2≤4,x^2≥2y is

For (2 leq r leq n,binom{n}{r} + 2binom{n}{r - 1} + binom{n}{r - 2} =)

Download Divine JEE App

Quick Links

Exam Categories

Contact Info

Divine JEE