## Logic Puzzles

What is the next number is the following sequence?

2, 4, 6, 30, 32, 34, 36, 40, 42, 44, 46,50, 52, 54, 56, 60, 62, 64, 66, __ |

A car sets out on a thirty mile trip and halfway the average speed is 30 mph. At what speed must the car travel so that the overall average speed is 40 mph?

What two letters complete the sequence?

M Y V S E H M S J R S N U S _ _ |

Each brick in the pyramid contains a number that is equal to the sum of the values contained in the bricks directly below.

Find the value of the brick labelled X.

A pair of cogs contain 35 and 24 teeth respectively.

The left hand wheel begins turning in a clockwise direction.

How many full rotations must the left hand wheel make so that the arrows on both cogs are pointing upwards?

What number should replace the question mark?

What is the next number is the following sequence?

1, 11, 21, 1112, 3112, 211213, ______ |

A farmer keeps pigs and chickens.

The farmer counts 73 heads and 230 feet.

How many chickens are there?

Find the value of the missing number.

An amount of money is shared between five children.

Alice gets one third, Bob gets one quarter, Claire gets one fifth, Darren gets one sixth, and Erika gets £12.

How much money was there in total?