If the seven-digit number 52A6B7C is divisible by 33, and A, B, C are primes, then the maximum value of 2A + 3B + C is:

If p = 8.15, q = 9.06 and r = −17.21, then the value of p³+q³+r³-3pqr

Find the value of sec θ − tan θ, if sec θ + tan θ = $$ \sqrt { 5} $$

Some students went on a field trip. At a speed of 6 km/h, they travelled by bikes for 2 hours; then at a speed of 2 km/h, they walked for another hour; then they took rest for an hour and had lunch for half an hour; then at a speed of 1 m/s, they walked for an hour to visit a garden; and finally at a speed 4 km/h, they returned home in 3 hours. Their average speed, in km/h, (rounded off to two places of decimal) is:

What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively?

In a proportion, the 1^st , 2^nd and 4^th  terms are 51, 68 and 108, respectively. What is the 3^rd term?

A watch is sold at a profit of 25%. Had it been sold for Rs.120 less then, there would have been a less then of 15%. What is the cost price in rupees?

A person deposited ₹15,600 in a fixed deposit at 10% per annum simple interest. After every second year he adds his interest earned to the principal. The interest at the end of 4 years is: