If 5sinθ – 4cosθ=0, 0°˂θ˂90°, then the value of $$ {5\sinθ-2\cosθ}\over {5\sinθ+3\cosθ}$$ is:

If the number x3339 is divisible by 11, what is the face value of x?

The simple interest on a certain sum of the money at 4 % per annum for 4 years is Rs.80 more than the interest on the same sum for 3 years at 5 % per annum. Find the sum.

simplify the following equation
$$ (1-{1\over3})(1-{1\over4})(1-{1\over5})......(1-{1\over n})$$

A rises from his house at 12 noon towards B’s house at a speed of 8 km/hour. After 1 hour, B rides from his house towards A’s at a speed of 7 km/hour. If the distance between the two houses is 68 km, the time when they meet is

O is the orthocentre of ΔABC. If ∠BOC=110°, ∠BAC is equal to

Find the value of k in

You are driving from point A to point B at a speed of 45km/hr. Your friend is driving from point B to point A at a speed of 53 km/hr. If the distance between the two points is 1029 km and both of you started at the same time. how many hours will it be before you pass each other ?