AEEE - Mathematics Mock Tests

A can do a piece of work in 10 days and B can do the same work in 15 days. If they work together for 5 days, what fraction of the work is left?

If the lines (x − 1)/2 = (y − 2)/1 = (z − 3)/−1 and (x − 4)/(1 − λ) = (y − 1)/λ = (z − 2)/1 are perpendicular, then λ is:

Two groups A and B have 3 and 6 members respectively. If two persons are chosen at random from the combined group, the probability that both are from the same group is:

In the given figure (not shown), a tangent PT to a circle with centre O meets the extended diameter QR at P. If ∠PQR = 30° and the radius is 4 cm, what is the measure of ∠TPQ?

The vector equation r⃗ = (î + 2ĵ + 5k̂) + λ(î + ĵ + k̂) represents:

If A and B are two independent events such that P(A) = 1/3 and P(B) = 1/4, then P(A ∩ B) is:

The value of sin⁻¹(3/5) + cos⁻¹(3/5) is:

The order and degree of the differential equation d^2y/dx^2 + (dy/dx)^3 + y = 0 are: