In ΔABC, ∠A = 90°, M is the mid-point of BC and D is a point on BC such that AD ⊥ BC. If AB = 7 cm and AC = 24 cm, then AD : AM is equal to

Evaluate √(0.289/0.00121) + √(64/16)

A, B and C started a business by investing ₹13750, ₹16250 and ₹18750 respectively. If B's share in the profit earned by them is ₹5200, what is the total profit (in ₹) earned by them together?

The average salary per head of all workers of an institution is 60. The average salary per head of 12 officers is 400. The average salary per head of the rest is 56. Then the total number of workers in the institution is

The ratio of alcohol and water in a mixture of 85 L is 11 : 6. How much water should be added to make the ratio 5 : 3?

(1 - 1/3)(1 - 1/4)(1 - 1/5)...(1 - 1/25) is equal to

A sum of ₹31866 is divided between A, B and C such that the ratio of shares of A and B is 9 : 8 and that of A and C is 4 : 5. The share (in ₹) of B is

The HCF and LCM of two numbers m and n are 6 and 210 respectively. If m + n = 72, then 1/m + 1/n is equal to

What is the compound interest on a sum of ₹12000 for 2 5/8 years at 8% per annum, when the interest is compounded annually? (nearest to a rupee)