SAT (Stage-1) M...

A box of marbles and a book cost £6.2. If the book costs £3.5 less than 1 box of marbles, then find the total cost of 4 books and 2 boxes of marbles.

Which digit is at the 99th decimal place in the decimal value of 5/7?

If a²/bc + b²/ca + c²/ab = 3 and a ≠ b, then a + b + c = ?

What number should be subtracted from 2x² - 7x - 12 so that the resulting polynomial has a factor 2x + 3?

A bag contains 6 white and 9 black balls. If three balls are drawn at random, then find the probability that all of them are black.

If a and b are the roots of x² + px - q = 0, and g and d are the roots of x² + px + r = 0, then the value of (a - g)(a - d) is

In a parallelogram ABCD, ∠A : ∠B = 1 : 2. Find the value of ∠C.

Mean of seven numbers is 52 and six of those numbers are 17, 19, 15, 8, 5 and 12. Find the missing number.

A tap drips at an average rate of 2 drops every 3 seconds. It takes 2080 such drops of water collected to completely fill a vessel of hemispherical shape (radius 8.3 cm). How many times can the vessel be filled in this manner over 13 hours?

In the figure below, the area of triangular region PQR is 36 sq. units. What is the area of triangular region SQR?

The angle of elevation of a 15 m high tower is 60° from the bottom of an electric pole. The angle of elevation of the tower from the top of the electric pole is 30°. Find out the height of the electric pole.

Standing at a radar base, a person observes an unidentified object at a height of 3000 m flying towards the radar station at an angle of elevation of 30°. After a minute, the person again observes that the flying object is at an angle of elevation of 60°, having the same height. What is the speed of the object?

If sin²θ + 3 cosθ - 2 = 0, then cos³θ + sec³θ is equal to