Quantitative Ap...

Akhsay travels on a straight route joining P and Q in a way such that after each of the 20^th, 40^th and 60^th minute from his starting point P, he increases his speed by 10 kmph and after each of the 70^th, 80^th, 90^th, 100^th and the 110^th minute from the start, he decreases his speed by 10 kmph. If Akshay began his journey at a speed of 50 kmph and took exactly 2 hours to reach Q, the distance from P to Q (in km) is _______.

If the sum of the roots of the quadratic equations mx² + (2m - 1)x + 4 and (3m + 1)x² - 6x + (2m - 3) are equal, then find the sum of values of m.

A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. find the volume of the solid so formed.

The largest integer n, such that n + 10 divides n³ + 100, is

How many subsets of S = (1, 2, 3 , . . . , 400) have the product of their elements an even number?

Find the maximum area of the isosceles trapezium (in units²) whose unequal sides are 4 units and 6 units. Given that it is inscribed in a circle whose radius is 2√3

The average speed of Mumbai metro train which travels from Ghatkopar to Versova is 30 km/hr and the distance between the two stations is 32 km. Which function represents the distance 'd(t)' remaining in a trip from Ghatkopar to Versova after a certain time 't' from the start? 

Find the value of M in the figure given below,

6 equally spaced girls are standing along the circumference of a circle of radius 10 m and facing the center. What is the shortest distance between any two girls facing each other?

A shopkeeper gives a discount of 10% on the marked price and sells it for Rs. 540 to earn a profit of Rs. 90. Find the profit percentage if the product is marked Rs. 200 above its cost price for the same absolute value of discount.