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Question 1

Switch A turns lights 1 and 2 on/off or off/on. Switch B turns lights 2 and 4 on/off or off/on. Switch C turns lights 1 and 3 on/off or off/on. Switches C, A and B are thrown in turn with the result that Figure 1 turns into Figure 2. Which switch does not work at all?

Question illustration
  1. Switch A
  2. Switch B
  3. Switch C

Question 2

Which is the only one of the following that is not an anagram of a word meaning 'out of this world'? flow under, sexed Utah, enviable blue, icier blend

Question illustration
  1. flow under
  2. sexed Utah
  3. enviable blue
  4. icier blend

Question 3

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?

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Question 4

Find five consecutive digits in the row below that total 22: 7 3 9 6 4 1 3 7 9 3 5 4 1 7 6 5. Enter the five digits in order as one number (e.g. 12345).

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Question 5

To which hexagon below can a dot be added so that both dots then meet the same conditions as the two dots in the hexagon above?

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Question illustration
  1. Figure A
  2. Figure B
  3. Figure C
  4. Figure D
  5. Figure E

Question 6

What letter is directly opposite the letter that is two letters away clockwise from the letter that is directly opposite the letter E?

Question illustration
  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
  7. G
  8. H

Question 7

dopiness, uncloaking, dishwasher – which word below has a feature in common with all the words above? gallant, crossfire, whirlwind, assault

Question illustration
  1. gallant
  2. crossfire
  3. whirlwind
  4. assault

Question 8

Switch A turns lights 1 and 2 on/off or off/on. Switch B turns lights 2 and 4 on/off or off/on. Switch C turns lights 1 and 3 on/off or off/on. Switch D turns lights 3 and 4 on/off or off/on. Switches D, C, A and B are thrown in turn, with the result that Figure 1 turns into Figure 2. Which switch does not work at all?

Question illustration
  1. Switch A
  2. Switch B
  3. Switch C
  4. Switch D

Question 9

Which word in brackets is closest in meaning to the word in capitals? FUSE (muzzle, explode, coalesce, immobilize, tighten)

Question illustration
  1. muzzle
  2. explode
  3. coalesce
  4. immobilize
  5. tighten

Question 10

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?

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Question 11

A market stall owner found that 72 eggs in a consignment were cracked, which was 12 per cent of the total consignment. How many eggs in total were in the consignment?

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Question 12

A B C D E F G H
What letter is two letters to the left of the letter immediately to the right of the letter three letters to the right of the letter A?

Question illustration
  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
  7. G
  8. H

Question 13

Which word in brackets is most opposite in meaning to the word in capitals?
PLAUSIBLE (appropriate, improbable, clichéd, artificial, distasteful)

Question illustration
  1. appropriate
  2. improbable
  3. clichéd
  4. artificial
  5. distasteful

Question 14

The cost of an identical three-course lunch for four people was £56.00. The main course cost twice as much as the sweet, and the sweet cost twice as much as the starter. How many pounds did the main course cost per person?

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Question 15

Find five consecutive digits in the row below that total 23. Write the five digits in order as your answer (e.g. 12345).

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Question 16

Which word in brackets is most opposite in meaning to the word in capitals? SLEEK (sordid, unimaginative, disorderly, dishevelled, oblique)

Question illustration
  1. sordid
  2. unimaginative
  3. disorderly
  4. dishevelled
  5. oblique

Question 17

In the grid, which number is three places away from itself plus three, two places away from itself multiplied by two, two places away from itself less four, and two places away from itself divided by three? (Places are counted in a straight line horizontally, vertically or diagonally.)

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Question 18

Which letter is two letters away clockwise from the letter that is directly opposite the letter three letters away anticlockwise from the letter C?

Question illustration
  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
  7. G
  8. H

Question 19

To which hexagon below can a dot be added so that both dots then meet the same conditions as the two dots in the hexagon above?

Question illustration

Question illustration
  1. Figure A
  2. Figure B
  3. Figure C
  4. Figure D
  5. Figure E

Question 20

Three teams, from England, Scotland and Wales, are competing for two trophies, one for golf and one for tennis. How many different outcomes of the two competitions exist?

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  1. 6
  2. 8
  3. 9
  4. 12