HARD
CAT
IMPORTANT
Earn 100

Find the number of non-negative integral solutions to the system of equations x+y+z+u+t=20 and x+y+z=5.

50% studentsanswered this correctly

Important Questions on X+2 Maths

HARD
CAT
IMPORTANT
Find the number of integral solution to |x|+|y|+|z|=15.
MEDIUM
CAT
IMPORTANT
A teacher takes 3 children from her class to the zoo at a time as often as she can, but she does not take the same three children to the zoo more than once. She finds that she goes to the zoo 84 times more than a particular child goes to the zoo. The number of children in her class is:
MEDIUM
CAT
IMPORTANT
ABCD is a convex quadrilateral and 3, 4, 5 and 6 points are marked on the sides AB, BC, CD and DA, respectively. The number of triangles with vertices on different sides is (none of them is A, B, C or D)
HARD
CAT
IMPORTANT
The number of triangles that can be formed with 10 points as vertices, n of them being collinear, is 110. Find the value of n.
HARD
CAT
IMPORTANT
If x, y, and z are integers and x0, y1, z2, x+y+z=15, then the number of values of the ordered triplet (x, y, z) is:
HARD
CAT
IMPORTANT
If a, b, c are positive integers such that a+b+c  8 , then the number of possible values of the ordered triplets a, b, c is
EASY
CAT
IMPORTANT
The product of r consecutive integers is necessarily divisible by:
MEDIUM
CAT
IMPORTANT
A candidate is required to answer six out of ten questions which are divided into groups, each containing five questions, and he is not permitted to attempt more than 4 from any group. In how many ways can he make up his choice?