Math Problem Solving Quiz

If 3 machines produce 300 widgets in 5 hours, how many widgets can 5 machines produce in 8 hours?

What is the sum of the first 50 natural numbers?

Simplify (\bigl(\tfrac23 + \tfrac34\bigr)\div\bigl(\tfrac56 - \tfrac12\bigr)).

A shopkeeper’s cost price is 60% of marked price. If he gives a 10% discount, what is his profit percent?

The average of eight numbers is 25. One number is replaced by 40, new average becomes 28. Find the replaced number.

A particle travels 120 km at 60 km/hr and returns at 40 km/hr. What is its average speed?

In a ratio 3:5, the larger number exceeds the smaller by 14. Find both numbers.

A sum doubles itself in 8 years at simple interest. What is the rate per annum?

The difference between compound interest and simple interest on ₹10,000 at 10% for 2 years?

How many terms of the series 5, 8, 11, ... must be taken to sum to 186?