Business Mathem...

The number of ways in which 8 different books can be arranged on a shelf so that 3 particular books shall not be together:

Find the interval in which the function f(x) = x² − 2x is strictly increasing?

In any group, the number of improper subgroups is:

If A = {x : x is a multiple of 3}, B = {x : x is a multiple of 4} and C = {x : x is a multiple of 12}, then A ∩ (B ∩ C) is equal to:

Out of 85 children playing badminton or table tennis or both, the total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 12 children play badminton and table tennis both. The number of girls playing only badminton is:

There are 12 points in a plane out of which 5 are collinear. The number of triangles formed by the points as vertices is:

Find the sum of all numbers divisible by 6 in between 100 to 400.

Suman has Rs. 265 consisting of only denominations of Rs. 2 and Rs. 5 coins and thus total number of coins is 80. Find the number of coins in Rs. 5 denomination.

If in an A.P. pth term is q and th qth term is p, then which term will be zero?

The value of ordinate of the graph of y = 2 + cos⁡ x lies in the interval: