DSC - Mathematics Mock Tests

If a = i + j, b = j + k, and c = k + i, then the scalar triple product [a b c] equals:

In a triangle ABC, if a^2, b^2, c^2 are in AP, then which of the following is true?

If sin θ + cos θ = 1, then sin²θ + cos²θ equals:

If a, ar, ar², … is a geometric progression with a > 0 and r > 0, and if the sum of the first n terms is 120 and the sum of the first 2n terms is 360, then the sum of the first 3n terms is:

The equation of the circle with center (0, 0) and radius 5 is:

The variance of a random variable X is Var(X) = E(X²) − [E(X)]². If E(X) = 3 and E(X²) = 11, then Var(X) is:

One-fourth of one-fifth of 200 is:

In the Indian numbering system, 1 lakh equals how many thousands?