If a cot θ + b cosec θ= p and b cot θ + a cosec θ = q then p² -q² is equal to _____

If the four-digit number 463y is divisible by 7, then what is the value of y?

A goods train 350 m long passes through a tunnel of length 1250 m in 80 seconds. What is the speed of the train?

P, Q and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q works on first day, P and R works on second day and P and Q works on third day and son on till the work is completed. In how many days the work will be completed?

What is the volume of a cylinder if the radius of the cylinder is 10 cm and height is 20 cm? (Take π = 3.14)

If two LED TVs and one mobile phone cost ₹31,000, while two mobile phones and one LED TV cost ₹35,000, then the value of one mobile phone is:

if , the find the value of x²

A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid.