A gold ingot in the shape of a cylinder is melted and the resulting molten metal molded into a few identical conical ingots. If the height of each cone is half the height of the original cylinder and the area of the circular base of each cone is one fifth that of the circular base of the cylinder, then how many conical ingots can be made?

If ∛(7^a × 35^(b+1) × 20^(c+2)) is a whole number then which one of the statements below is consistent with it?

An article is marked x% above the cost price. A discount of (2/3)x% is given on the marked price. If the profit is 4% of the cost price and the value of x lies between 25 and 50, then the value of 50% of x is?

Two numbers a and b are inversely proportional to each other. If a increases by 100%, then b decreases by:

A computer is sold either for Rs.19200 cash or for Rs.4800 cash down payment together with five equal monthly installments. If the rate of interest charged is 12% per annum, then the amount of each installment (nearest to a rupee) is:

A firm pays its five clerks Rs. 15,000 each, three assistants Rs. 40,000 each and its accountant Rs. 66,000. Then the mean salary in the firm comprising of these nine employees exceeds its median salary by rupees

When opening his fruit shop for the day a shopkeeper found that his stock of apples could be perfectly arranged in a complete triangular array: that is, every row with one apple more than the row immediately above, going all the way up ending with a single apple at the top. Durin…

A, B, C, D and E are five employees working in a company. In two successive years, each of them got hikes in his salary as follows: A : p% and (p + 1)%, B : (p + 2)% and (p − 1)%, C : (p + 3)% and (p − 2)%, D : (p + 4)% and (p − 3)%, E : (p + 5)% and (p − 4)%. If all of them have…

Let P be the point of intersection of the lines 3x + 4y = 2a and 7x + 2y = 2018, and Q the point of intersection of the lines 3x + 4y = 2018 and 5x + 3y = 1. If the line through P and Q has slope 2, the value of a is: