Mixed General Knowledge - Idioms, Math & Railways

The square root of 21025 is 145. Calculate 145 × 145 = 21025. Using the pattern: 14 × 15 = 210, so 145² = 21025.

The complete proverb is 'Actions speak louder than words.' This idiom means that what people do is more significant than what they say they will do. It's a common English idiom tested in language and competitive exams.

The square root of 27225 is 165. Calculate 165 × 165 = 27225. Using the 5-ending pattern: 16 × 17 = 272, so 165² = 27225.

The square root of 5625 is 75. Verify by calculating 75 × 75 = 5625. Using the pattern: 7 × 8 = 56, so 75² = 5625.

'All roads lead to Rome' is a famous proverb referencing the ancient Roman road network (viae publicae) that converged on Rome as the capital of the Roman Empire. It metaphorically means many different paths can lead to the same goal. Paris (France), London (UK), and Vatican (independent city-state within Rome) are incorrect.

The pattern is: sum of digits of 2025 is 2+0+2+5 = 9. But 45 isn't 9. Testing: 20+25 = 45 (split into first 2 and last 2 digits). The answer A (45) matches 20 + 25. This is a digit manipulation puzzle.

To square 85: 85 x 85 = 7225. You can use (80 + 5)^2 = 80^2 + 2805 + 5^2 = 6400 + 800 + 25 = 7225. Option B is correct. The other options are wrong: 7625 would be 85 x 89.75 approximately, 7325 has no clear pattern, 7525 would be 85 x 88.53.

The square of 35 is calculated as 35 × 35 = 1225. You can compute this using the standard multiplication algorithm or by recognizing (30+5)² = 900 + 300 + 25 = 1225.

The complete proverb is A stitch in time saves nine. This metaphorically means that fixing a small problem early prevents it from becoming a much bigger problem requiring nine times the effort.

The complete idiom is Birds of a feather flock together. It means people with similar interests, backgrounds, or characteristics tend to associate with one another.

The proverb is Blood is thicker than water, meaning family bonds and relationships are stronger than friendships or other connections. The phrase emphasizes the importance of kinship ties.

The proverb is Curiosity killed the cat, warning that being too inquisitive or nosy can lead to trouble or misfortune. The full phrase often continues with but satisfaction brought it back.

The complete proverb is 'Early bird catches the worm,' which means those who arrive or act promptly have the best chance of success. The other options (frog, rat, lizard) do not complete this well-known English proverb. This is a basic proverb completion testing familiarity with common sayings.