This week, spring is in the air.
Time of Day
Pretend you are in New York during daylight on the vernal equinox. You note your watch’s second hand is on a minute mark and exactly 18 minute marks ahead of the hour hand.
What time is it?
The Missing Element
The open-ended sequence …35, 45, 60, q, 120, 180, 280, 450, 744, 1260… has an undisclosed element, q.
Find a simple continuous function to generate the sequence and compute the surprise answer for q.
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Solutions to week 131
In Knight Trap, the knight can be trapped in 15 moves. In My Number is 136, Ana has 135 on her forehead and Boris has 136 on his.
Knight Trap answer explained:
The knight can be trapped in 15 moves as shown in the figure.
My Number is 136 answer explained:
a = 1 and b = 135. Ana sees 136 on Boris and knows whatever product Boris sees (1 × 135, 2 × 134, 3 × 133, etc.), he can’t know his number. Boris sees 135 on Ana and considers he may have 3 + 45 (= 47 + 1), 5 + 27 (= 31 + 1), 9 + 15 (= 23 + 1), or 1 + 135. The first three possibilities are eliminated by adding to one more than a prime (which would disallow Ana from making her statement) so Boris deduces his number is 136.
Week 131: Knight Trap & My Number is 136, solutions to The Size of Humanity & Fish Pond
Week 130: The Size of Humanity & Fish Pond, solutions to Circumnavigation & Typos
Week 129: Circumnavigation & Typos, solutions to Keeping Things Even & Roll Those Bones
Week 128: Keeping Things Even & Roll Those Bones, solutions to Race to the Gate & Tricky Logic Game
Week 127: Race to the Gate & Tricky Logic Game, solutions to Logical Coffee Order & Here’s Looking at You
Links to all of the puzzles and solutions are on the Complete Varsity Math page.
Come back next week for answers and more puzzles.