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

Find the HCF of 60, 148 and 382.

If 5^√x + 12^√x = 13^√x, then x is equal to: 

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

The following penalty diagram shows the 4 year exam results of the students of 10th standard. Study the diagram and answer the following questions.

What is the ratio of the total students who have attained second division in the year 2000 and appeared in the examination?

A and B together can complete a particular task in 4 days. If A alone can complete the same task in 6 days, how many days will B take to complete the task if he works alone? 

1261 in 3 years at the rate of 5 percent annual interest on a sum of money. Interest is received by compound . money will be

A men sells his cycle at 6% profit. Had he sold it at 15% profit, he would have received 180 Rs. More. What is the cost price of the cycle?