SAT (Stage-1) M...

In the given figure, PQO is an equilateral triangle and O is the centre of the circle. Points P and Q lie on the circle. If the diameter of the circle is 16 cm, then what is the area of the shaded region?

Let x and y be real numbers such that (x² – y²)(x² – 2xy + y²) = 3 and x – y = 1. What is the value of xy?

The sum of the first n terms of an AP is zero. If the first term and the common difference of the AP are 4 and – 2, then what is the value of n?

In the given figure, O is the centre, AB is the diameter and ∠ACL = ∠LCO = 20°. What is the measure of ∠DCA?

Area of the triangle formed by the points (1, -3), (3, 3) and (5, -3) is

Which of the following options is the x–coordinate of the point dividing the line segment joining the points (m, n) and (n, m) in the ratio n : m internally?

Mr. Problem wants to buy pens as well as pencils, and he has Rs. 190 with him. Every pen costs Rs. 15 and every pencil costs Rs. 8. What is the maximum number of items he can buy, if he has to exhaust all the money he has?

A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of the wood is 2.5 cm. Find the volume of the wood.

By which of the following expressions should the polynomial 6x² - 13x + 10 be divided so that the quotient is 3x - 2 and the remainder is 4?

If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is –1, then the product of the other two zeroes is

Which of the following gives the H.C.F. of 121, 49, 63 and 841?

The mean of 12, 10, p, p + 2 and 11 is 9. What is the value of p?

In the given figure, DE || BC, AD/DB = 3/1 and ar(∆ADE) = 9 units². What is the area of ∆ABC?

In ΔABC, DE is parallel to BC and it divides the triangle into two equal parts. The ratio of the area of ΔADE to that of ΔABC is

In the given figure, X/U/UY = XV/VZ. Which of the following relationships is correct?