Mathematics questions
18011 published questions with worked solutions.
- A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at...
- A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is...
- The number of seven digit positive integers formed using the digits 1,2,3 and 4 only and sum of the digits equal to 12 is
- In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the...
- The number of permutations of the digits 1,2,3, ,7 without repetition, which neither contain the string 153 nor the string 2467,...
- The number of ways of giving 20 distinct oranges to 3 children such that each child gets at least one orange is
- Let 5 digit numbers be constructed using the digits 0,2,3,4,7,9 with repetition allowed, and are arranged in ascending order with...
- The number of seven digits odd numbers, that can be formed using all the seven digits 1,2,2,2,3,3,5 is
- If all the six digit numbers x_1x_2x_3x_4x_5x_6 with 0<x_1<x_2<x_3<x_4<x_5<x_6 are arranged in the increasing order, then the sum...
- Five digit numbers are formed using the digits 1,2,3,5,7 with repetitions and are written in descending order with serial...
- Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the...
- The total number of six digit numbers, formed using the digits 4,5,9 only and divisible by 6, is
- Number of integral solutions to the equation x+y+z=21, where x 1, y 3, z 4, is equal to
- Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits 1,2,3 and 5, and are divisible by...
- The total number of 4-digit numbers whose greatest common divisor with 54 is 2, is
- In the expansion of (1+x+x^2+x^3 )^6, then coefficient of x^ 14 is
- The ninth term of the expansion (3x- 1 2x )^8 is
- In the expansion of (x- 1x )^6, the coefficient of x^0 is
- In the binomial expansion of (a-b)^n, n 5, the sum of 5^ th and 6^ th terms is zero, then ab equals
- If in expansion of (1+x)^ 21 , the coefficient of x^r and x^ r+1 be equal, then r is equal to