SAT (Stage-1) M...

A cylinder, a hemisphere and a cone stand on the same base and have equal heights. The ratio of the areas of their curved surfaces is

Find the value of m if the given lines are coincident.

mx + 2y – 3 = 0 and 6y + 3x – 9 = 0

What must be added to x⁴ + 2x³ – 2x² + x – 1, so that the result is exactly divisible by x² + 2x – 3?

If α,β and γ are zeroes of polynomial 6x³ - 3x² + 18x + 1, then what is the value of α²+β²+γ² ?

If , then what is the value of x?

What will be the remainder when 2⁶⁰ - 1 is divided by 5?

If 365xy is divisible by 30, then the least value of x + y =

If a = 3√5 and b = 2√5 + 1, find the value of a/b.

If 3^x = 4 and 4^y = 8, then the value of 9^{x - y} is

A businessman marks his goods in such a way that even after allowing 12.5% discount on cash purchase, he gains 20%. If the cost price of the goods is Rs. 140, find the marked price.

At the Congress of Vienna in 1815, the great European powers divided Poland. Which of the following countries were referred to as the 'great powers'?

Which of the following novels written by Henry Fielding was issued in six volumes priced at three shillings each, which was more than what a labourer earned in a week?

Which of the following books by Charles Dickens describes Coketown, a fictitious industrial town?

Which of the following is correct about Reichstag?

Which of the following was the symbol of Eternity in the Declaration of Rights?