Quantitative Ap...

The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is

In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the non-manufacturing employees is

The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing 18 units. If she breaks it into four pieces with each piece having distinct integer weight, then the difference between the highest and lowest possible values of the total price of the four pieces will be 288000. Then, the price of the original precious stone is

Jayant bought a certain number of white shirts at the rate of Rs.1000 per piece and a certain number of blue shirts at the rate of Rs.1125 per piece. For each shirt, he then set a fixed market price which was 25% higher than the average cost of all the shirts. He sold all the shirts at a discount of 10% and made a total profit of Rs.51000. If he bought both colors of shirts, then the maximum possible total number of shirts that he could have bought is (type in numerical)

Let n and m be two positive integers such that there are exactly 41 integers greater than 8m and less than 8n, which can be 16expressed as powers of 2. Then, the smallest possible value of n + m is

A quadratic equation x² + bx + c = 0 has two real roots. If the difference between the reciprocals of the roots is 1/3 and the sum of the reciprocals of the squares of the roots is 5/9, then the largest possible value of (b + c) is (in numerical value).

Anil mixes cocoa with sugar in the ratio 3:2 to prepare mixture A, and coffee with sugar in the ratio 7:3 to prepare mixture B. He combines mixtures A and B in the ratio 2:3 to make a new mixture C. If he mixes C with an equal amount of milk to make a drink, then the percentage of sugar in this drink will be

If f(x) = |x| + |x + 5| + |x + 10| + ……………………………..+ |x + 5t|, where x is an integer and t is a positive integer, if t = 7, for how many values of x, f(x) will be minimum?

What is the product of all the real solutions of the equation x² -13|x| -30 = 0? ( where |.| represents modulus function)

In a race A, B and C are climbing on a moving escalator in the same direction. A beats B by 429 steps and B beats C by 352 steps. Find the sum of digits of the sum of number of steps and speed of escalator, if the speed of A, B and C is 10 steps/sec, 7 steps/sec and 5 steps/sec respectively.