A class in college has 150 students numbered from 1 to 150 , in which all the even numbered students are doing CA, whose number are divisible by 5 are doing Actuarial and those whose numbers are divisible by 7 are preparing for MBA. How many of the students are doing nothing?

In a class 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number is divisible by 3 opted Physics course and those whose number is divisible by 5 opted Chemistry course. Then the number of students who did not opt for any of the three courses is (a) 38 (b) 1 (c)42 (d) 102

Find the sum of all natural numbers between 1 and 100, which are divisible by 2 or 5

Write five pairs of prime numbers less than 20 whose sum is divisible by 5.Hint : 3+7 = 10)

How many three –digit numbers are there which are divisible by 5 as well as 9 and whose consecutive digits are in A.P.: (A) 3 (B) 4 (C) 5 (D) none of these

A class has 175 students. The following table shows the number of students studying one or more of the following subjects in this case. How many students are enrolled in Mathematics alone, Physics alone and Chemistry alone? Are there students who have not offered any one of these subjects?

(i) Find the sum of first 200 even natural numbers. (ii) Find the sum of all numbers lying between 201 and 424 which are divisible by 5. (iii) Find the sum of all numbers from 1 to 200 which are divisible by either 2 or 3.

The number of all four digit numbers which are divisible by 4 that can be formed from the digits 1, 2, 3, 4, and 5, is

The number of 6 digits numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is repeated is

How many numbers divisible by 5 and lying between 4000 and 5000 can be formed from the digits 4, 5, 6, 7 and 8.

How many numbers of six digits can be formed from the digits 0,1,3,5,7 and 9 when no digit is repeated? How many of them are divisible by 10?