If x = 222, y = 223 and z = 224, then find the value of x³+y³+z³-3xyz

A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with internal radius 15cm, what will be the height to which the water rises in it?

Given that y is directly proportional to x and y = 2 when x = 8. Find the value of x when y = 8.

Find the HCF of 60, 148 and 382.

A sum of money doubles itself in 7 years at simple interest. In how much time will it become 5 times of itself?

Raghav went to a shopping mall to purchase clothes. He had two coupons with him, but only one can be used on a single day. Using the first coupon, a total discount of 30% could be obtained on the total amount. Using the second coupon, he will get 80% off on the price of the costliest shirt if he buys at least 3 shirts. What is the price at which Raghav can purchase 3 shirts at a minimum price if the prices of the three shirts are Rs.1,250, Rs.1,540 and Rs.1,375?

If a 7-digit number 54p3987 is divisible by 11 , then p is equal to:

The average age of six members of a family is 40 years. If the age of a guest is included, then the average age increases by 12.5%. What is the age (in years) of the guest?