What is the least number that when divided by 63 and 105 leaves remainder 4 in each case?

ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?

Two numbers are in the ratio of 15 : 11. If their HCF is 13, then the greater number is?

If r sinθ=3 and r cosθ=1, then the values of r and θ are: (0°⩽θ≤90°)

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, the compound interest on the same at the same rate and for the same time is:­

If the length of the shadow of a vertical pole be √3 times the height of the pole, the angle of elevation of the sun is:­

∆ABC inscribed in a circle so that BC is a diameter. The tangent at a point C intersects BA when produced at a point D. If ∠ABC=36°then the value of ∠ADCis 

ΔABC is similar to ΔDEF. If the ratio of similar sides is K:1, the ratio of their areas is