Round 4: Puzzles

A bag contains 64 balls of eight different colours. There are eight of each colour (including red). What is the least number you would have to pick, without looking, to be sure of selecting 3 red balls?

• 59
• 50
• 56
• 58

A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are fused and he is completely in the dark. How many socks must he take out to make 100 per cent certain he has a pair of black socks?

• 10
• 40
• 20
• 30

How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes?

• 50
• 12
• 40
• 8

Gordon is twice as old as Tony was when Gordon was as old as Tony is now. The combined age of Gordon and Tony is 112 years. How old are Gordon and Tony now?

• Gordon and Tony 64
• Gordon 112 and Tony 48
• Gordon 60 and Tony 40
• Gordon 64 and Tony 48

A card player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many hearts as clubs and twice as many diamonds as hearts. How many spades does he hold?

• 5
• 7
• 8
• 6

Every station on the railway system sells tickets to every other station. Some new stations were added. 46 sets of additional sets of tickets were required. How many new stations have been added?

• 1
• 4
• 3
• 2

You have 59 cubic blocks. What is the minimum number that needs to be taken away in order to construct a solid cube with none left over?

• 32
• 30
• 33
• 36

SUNDAY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY What day comes three days after the day which comes two days after the day which comes immediately after the day which comes two days after Monday?

• Monday
• Tuesday
• Thursday
• Friday