## December 2015 Logic & Maths Problems

1. These eight cards were dealt one at a time, face up.  State which cards were dealt first, third, fifth and seventh respectively.

2. Mr Peters, Mr Edwards and Mr Roberts are playing golf. Halfway through the game Mr Peters remarks that he has just noticed that their first names are Peter, Edward and Robert. “Yes”, said one of the others. “I noticed that too, but none of us has the same surname as our own first name. For example, my first name is Robert.”
What are the names of the three golfers?

3. Calculate the square root of 123454321

4. Mr Allen always goes to the same place for his holiday.
This year, he only takes \$4200 with him to cover his hotel bill and spending money.
He budgets his expenditure very carefully and tries to make his holiday last for as long as possible.
As the money runs out and the holiday inevitably draws to a close, Mr Allen recalculates his finances.
He finds that if he had spent \$70 less per day, he could have extended his holiday for five days.
How long a holiday did he have?

5. Joe has less than 100 used cars in stock. Two sevenths of them are blue, three fifths are white, and the other eight are yellow. How many cars are in stock in total?

6. a. What is the last letter needed to complete this sequence?

O, T, T, F, F, S, S, E, N, _

b. What is the next number in this sequence?

30, 28, 25, 21, 16 _

7. Five men are employed at a large house.
Each has a different job, a different hobby and a different day off each week.
 The man who has Tuesday off plays golf. He is not the janitor.
 The janitor is called Clark.
 The butler, who is not Jones, plays squash.
 Wood has Wednesday off. He is neither the butler nor the gardener.
 James is the cook. He does not have Thursday off; neither does Smith.
 The bridge competition is on Monday.
 The chauffeur does not play chess.
 James does not have Tuesdays off.

(click on the grid to enlarge and print off)

8. You are attending a wedding reception with bride, groom, bride’s parents, groom’s parents and 30 other guests. Statistically, what are the chances that there are two people in this room who share the same birthday?
(a) less than 1 in 10