math & puzzles Online Quiz - 11

Mr. Blue cannot wear blue. The man in white is not Mr. Blue (since he talks to Mr. Blue). Thus, Mr. White must be wearing blue, and Mr. Blue must be wearing red, as he cannot wear white or blue.

The statement is true because 80 minutes is exactly equal to 1 hour and 20 minutes. The question is a riddle testing the recognition that different units of time can represent the same duration.

Arthur Wynne created the crossword puzzle in 1913, which was first published in the New York World newspaper. It became one of the world's most popular daily pastimes. Chess, Carrom, and Domino's are games but were not created by Wynne in 1913.

The sequence 1, 4, 7, 10 follows an arithmetic progression where each number increases by 3. To find the next term, add 3 to the last number: 10 + 3 = 13. The pattern continues as 1, 4, 7, 10, 13, 16... Option A (12) would require adding only 2, and Option C (14) would require adding 4, neither of which fits the established pattern.

The sequence 3, 9, 12, 15 follows an alternating pattern: +6, +3, +3, so the next increment should be +6, giving 18. This is a combined arithmetic pattern where the increments alternate between 6 and 3, making it a pattern recognition question rather than a simple arithmetic progression. Option A (17) would come from +2, B (30) from +15, and C (21) from +6 following a different pattern.

The sequence is an arithmetic progression where each number increases by 3 (3, 6, 9, 12...). The next number in the sequence is 12 + 3 = 15. Other options do not follow the +3 pattern.

This is an arithmetic sequence where each number increases by 5: 5, 10, 15, 20. The next number after 20 is 20+5=25. Option A (30) would skip a step, and Option B (35) would require adding 15 instead of 5.

This sequence has two interleaved patterns: odd positions (2, 4, 6, 8) increase by 2, and even positions (9, 18, 27) are multiples of 9 (9×1, 9×2, 9×3). The next term is the 4th even position: 9×4=36. Options A (10) and B (16) would continue the odd-position pattern instead.

The hands of a clock meet once every hour, except for the period between 11 and 1. Because the 12 o'clock meeting covers both hours, they meet 11 times in a 12-hour cycle. In a full 24-hour day, they meet 22 times (11 times 2).

When traveling equal distances at different speeds, the average speed is the harmonic mean, not the arithmetic mean. For two speeds, average speed = 2ab/(a+b) = 2(6.8)(4.2)/(6.8+4.2) = 57.12/11 = 5.19 km/hr. Option C (4.19) is the arithmetic mean, which is incorrect for this scenario.