Puzzle 109
What number comes next in the sequence:
1 2 3 5 9 12 {?}
Puzzle Copyright © Kevin Stone
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Hint
Try writing the numbers as words.
Answer
21.
These are numbers ending in a vowel (AEIOU).
Puzzle 110
What number comes next in this sequence:
1 4 11 20 31 44 {?}
Puzzle Copyright © Kevin Stone
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Share link: https://www.brainbashers.com/puzzle/zelv
Hint
A tricky base 8 question.
Answer
61.
Each term is a square expressed in base eight, 7 2=49 = 61 in base 8.
Puzzle 111
What word goes in the brackets:
FOOD [ROAD] HARD
WEEP [----] FALL
Puzzle Copyright © Kevin Stone
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Hint
The letters come from the two words on the outside.
Answer
LEAP.
From the third letter of the second word, plus the third letter of the first word, plus the second letter of the second word, plus the fourth letter of the first word.
Puzzle 112
Triathlon - Round 2 - Logic Puzzles
The final of the BrainBashers triathlon was a close run thing.
The whole tournament was decided on the last two sections, cycling and the road race.
Alex didn't win either section.
The person who won the cycling came third in the road race.
Alex beat Charlie in cycling, but was beaten by Charlie in the road race.
Charlie was last in neither section.
Drew won the road race, but was beaten by Billie in the cycling.
Can you work out who came where in each section?
Puzzle Copyright © Kevin Stone
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Hint
In the road race, where could Charlie have finished?
Answer
Cycling : Billie > Alex > Charlie > Drew
Road race : Drew > Charlie > Billie > Alex
Road Race
In the road race, where could Charlie have finished?
By (4), he wasn't last. By (5), he wasn't first.
By (2), if Charlie was third, then he would have won the cycling, but by (3) Alex beat Charlie in the cycling, so Charlie can't have won the cycling.
So Charlie must have finished in second place.
By (5), Drew was first.
By (1), Alex didn't win the cycling, so by (2) he didn't come third in the road race. Therefore, Alex came last.
Leaving Billie in third place.
Road race : Drew > Charlie > Billie > Alex
Cycling
By (2), Billie won.
By (4), Charlie wasn't last.
By (3), Alex beat Charlie. So Alex finished in second place, with Charlie in third place.
Leaving Drew in last place.
Cycling : Billie > Alex > Charlie > Drew
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