August 2019

A can do a job 50% faster than B and 20% faster than C. Working altogether, they can finish the job in 4 days. How many days will it take A to finish the job if he works alone?

If $f(x) = \left( 3\sqrt{x} - 4 \right)^2$, then how much does $f(x)$ increase as x goes from 2 to 3?

A sum of money amounting to P5.15 consists of 10 cents and 25 cents. If there are 32 coins in all, how many 25 cents are there?

CPM factory employs 60 workers. If 4 out of every 5 workers are married, how many married workers are employed by the factory?

Maria is 36 years old. Maria was twice as old as Anna was when Maria was as old as Anna is now. How old is Ana now?

Given that w varies directly as the product of x and y and inversely as the square of z and that w = 4 when x = 2, y = 6, and z = 3. Find the value of w when x = 1, y = 4, and z = 2.

In a survey concerning the smoking habits of consumer it was found that 55% smoke cigarette A, 50% smoke cigarette B, 40% smoke cigarette C, 30% smoke cigarettes A and B, 20% smoke cigarettes A and C, 12% smoke cigarettes B and C only 10% all three cigarettes. What percentage of the population did not smoke?

How many 3-digit numbers greater than 300 can be made out from digits 0, 1, 2, 3, 4, 5, and 6 if repetition of digit is not allowed?

What time after 3:00 o’clock would the hour-hand and the minute-hand of a continuously driven clock subtends an angle of 45deg for the second time?

A tugboat traveling at 40 kph leaves port at 4 PM carrying off some contraband goods. A patrol boat assigned to stop the goods leaves the same post an hour later and drove at 90 kph. What time will the patrol boat overtake the tugboat?