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General knowledge · 12 questions
Hard brain teasers quiz
A challenger round. Every answer can be worked out, but the obvious one is rarely right.
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Question 1 of 12
Tough question
A bat and a ball cost £1.10 together. The bat costs £1.00 more than the ball. How much is the ball?
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- 1. A bat and a ball cost £1.10 together. The bat costs £1.00 more than the ball. How much is the ball?
- A. 10p
- B. 5p (answer)
- C. 1p
- D. 15p
If the ball is 5p, the bat is £1.05 and the total is £1.10. Most people say 10p. - 2. If 5 machines take 5 minutes to make 5 widgets, how long would 100 machines take to make 100 widgets?
- A. 100 minutes
- B. 20 minutes
- C. 5 minutes (answer)
- D. 1 minute
Each machine makes one widget in 5 minutes, however many machines there are. - 3. A patch of lily pads doubles in size every day and covers a lake in 48 days. How long to cover half the lake?
- A. 24 days
- B. 36 days
- C. 47 days (answer)
- D. 12 days
It doubles from half to full on the last day. - 4. How many months of the year have 28 days?
- A. 1
- B. 2
- C. 6
- D. 12 (answer)
Every month has at least 28 days. - 5. In a race, you overtake the person in second place. What position are you now in?
- A. First
- B. Second (answer)
- C. Third
- D. Depends on the race
You take their place, so you are second. - 6. What letter comes next: O, T, T, F, F, S, S, E...?
- A. T
- B. N (answer)
- C. E
- D. O
They are the first letters of one, two, three... so next is nine. - 7. What comes next in the sequence: 1, 11, 21, 1211, 111221...?
- A. 312211 (answer)
- B. 1112221
- C. 122111
- D. 211211
Each term describes the last: 111221 reads as three 1s, two 2s, one 1. - 8. What is the sum of all whole numbers from 1 to 100?
- A. 5,000
- B. 5,050 (answer)
- C. 5,100
- D. 10,000
Pair 1 with 100, 2 with 99 and so on: 50 pairs of 101. - 9. At 3:15, what is the angle between the hour and minute hands of a clock?
- A. 0 degrees
- B. 7.5 degrees (answer)
- C. 15 degrees
- D. 30 degrees
The hour hand has moved a quarter of the way from 3 to 4, which is 7.5 degrees. - 10. What is the smallest number of people needed for a better than even chance that two share a birthday?
- A. 23 (answer)
- B. 57
- C. 183
- D. 366
With 23 people the chance passes 50 percent, the famous birthday paradox. - 11. You flip two fair coins. What is the chance at least one lands on heads?
- A. 1 in 2
- B. 2 in 3
- C. 3 in 4 (answer)
- D. 1 in 4
Only tails-tails fails, which is 1 of 4 equally likely outcomes. - 12. A family has two children and at least one is a girl. What is the chance both are girls?
- A. 1 in 2
- B. 1 in 3 (answer)
- C. 1 in 4
- D. 2 in 3
The equally likely options are girl-girl, girl-boy and boy-girl, so 1 in 3.
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