Sourav Ganguly wants to buy a total of 100 sports equipment using exactly a sum of Rs.1000. He can buy ball at Rs.20 per unit, wicket at Rs.5 per unit and bat at Rs.1 per unit. If he has to buy at least one of each equipment and cannot buy any other type of equipment, then in how many distinct ways can he make his purchase?
In the following figure, Δ ABC is a right angled triangle, right angled at B, intersecting the circle at E, B and D. AD is the angle bisector of ∠ BAC.
AB = 72 cm and AC = 75 cm. Also, BE and BD are two equal chords of the circle. What is the area of the given circle?
Medha goes to a stationary shop and buy 4 pink sketch pens and some yellow sketch pens. The price of a pink sketch pen was twice that of the yellow sketch pen. When shopkeeper calculated the amount, it was found that the number of sketch pens of two colors had been interchanged. This increase the amount by 50%. What is the difference between the number of pink sketch pens to the number of yellow sketch pens in the original order?
Ganguly plays a game wherein he tosses a coin a certain number of times. Each time the coin turns up heads, Ganguly is paid Rs. 385 and each time it turns up tails, he has to pay Rs. 150. Ganguly wins a net amount of Rs. 2030 by tossing the coin ‘n’ times. If the total number of tosses is less than 30, find the number of times the coin was tossed.