Quantitative an...

If r is the radius of the circle given below, then what is the area of the shaded region?

A car travels a distance of 840 km at a uniform speed. If the speed is 10 kmph more, it takes 2 hours less to cover the same distance. What was the original speed of the car?

The LCM and HCF of two positive numbers is 2000 and 100, respectively. If both the numbers are 3-digit numbers, then what is the difference between them?

After spending 25% of the monthly salary on food, 12% on rental, 8% on travelling, 10% on education, 15% on clothing and 20% on entertainment, a person is left with Rs. 500. What must be his monthly salary?

The third proportion to (x² - y²) and (x - y) is

What is the minimum interval of time when one's birthday would fall on the same day of the week?

How many cubes, each of side 8 cm, can be cut from a cuboidal wooden block of dimension 40 cm 20 cm 10 cm?

Kamal started a business with Rs. 20000. After some time, Purnima joined her with Rs. 40000. At the end of the year, profit was divided between them in the ratio 6 : 7. After how many months Purnima joined the business?

Railway stations A and B are 300 km apart. In what time will the two trains, starting from the opposite ends and travelling towards each other with equal speeds, meet each other?

What is the ratio of side of a square to the radius of a circle, both with equal perimeters?