Anthony has two planks of wood. One of them is 1 m less than 3 times the length of the other one. The two planks put together are 23 metres long. What is the length (in metres) of the shorter plank?

It takes machine A, p hours to manufacture a deck of cards that machine B can manufacture in q hours. If machine A operates alone for r hours and is then joined by machine B until 100 decks are finished, for how long will the two machines operate simultaneously?

The graph below shows the average daily circulation (in thousands) of two newspapers (A and B) for ten years. Find the average daily circulation of B in the year when combined average daily circulation was minimum.

Kenneth's roll number is a two digit number. His friend Kimberly's roll number has the same digits as Kenneth's roll number, but with digits interchanged. If they add their roll number, and divide the sum by 11. Find the remainder of this division.

A.

0

B.

2

C.

1

D.

Can not be determined without knowing the roll number

Tap A can fill a tank in 10 hours, while tap B can fill the same tank in 15 hours. If both taps are open together, how long will it take to fill an empty tank?