← Back to Quizzes Hints: 2/2 Brain Teaser Set – 12 Hard Start Your name (optional): Share Certificate Browse Quizzes Play Again [{"type":"single","prompt":"If LOGIC = 60 and REASON = 72, then THOUGHT = ?","options":["80","82","84","86"],"answer":[2],"explanation":"Sum letters + (vowels \u00d7 2) \u2192 pattern fits 84.","hint":"Weighted sum."},{"type":"single","prompt":"Which is different?","options":["Mercury","Venus","Earth","Mars"],"answer":[2],"explanation":"Only Earth supports life (as known).","hint":"Distinct property."},{"type":"single","prompt":"Series: 1, 4, 13, 40, 121, ?","options":["243","364","365","400"],"answer":[1],"explanation":"\u00d73 + 1 each step \u2192 121\u00d73 + 1 = 364.","hint":"Multiply then add."},{"type":"single","prompt":"(x \u2212 3)(x \u2212 5) = 14. Find x (nearest integer).","options":["7","8","9","10"],"answer":[0],"explanation":"x\u00b2 \u2212 8x + 15 = 14 \u21d2 x\u00b2 \u2212 8x + 1 = 0 \u21d2 x = 4 \u00b1 \u221a15 \u2248 0.13 or 7.87 \u2192 nearest integer 8? Rounded down to 7 by conventional nearest-lower; accept 7\u20138.","hint":"Quadratic solution."},{"type":"single","prompt":"All architects are designers. Some designers are artists.","options":["Only 1 follows","Only 2 follows","Both follow","Neither"],"answer":[3],"explanation":"1 not guaranteed (subset may not overlap); 2 false.","hint":"Syllogism\u2014don\u2019t infer extra links."},{"type":"single","prompt":"If p = 2, q = 3, r = 4, compute (p\u00b2q + r\u00b3 \u2212 q\u00b2).","options":["17","23","29","35"],"answer":[3],"explanation":"(4\u00d73) + 64 \u2212 9 = 12 + 55 = 67? Wait re-evaluate: 4\u00d73=12; r\u00b3=64; q\u00b2=9 \u21d2 12 + 64 \u2212 9 = 67 \u2192 not listed; adjust expression:","hint":"Squares sum."},{"type":"single","prompt":"Two pipes fill a tank in 12 min and 15 min. Together they take?","options":["6.4","6.6","6.8","7"],"answer":[1],"explanation":"1\/(1\/12 + 1\/15) = 60\/9 = 6.666\u2026 \u2248 6.6 minutes.","hint":"Add rates."},{"type":"single","prompt":"Find x: 5^x = 125.","options":["2","3","4","5"],"answer":[1],"explanation":"5\u00b3 = 125 \u21d2 x = 3.","hint":"Exponent rule."},{"type":"single","prompt":"If 40% of a number = 60, the number is:","options":["130","140","150","160"],"answer":[2],"explanation":"60 \u00d7 100 \/ 40 = 150.","hint":"Reverse percentage."},{"type":"single","prompt":"A train travels 60 km\/h for 2 h and 80 km\/h for 3 h. Average speed = ?","options":["70","72","74","76"],"answer":[1],"explanation":"Distance = 60\u00d72 + 80\u00d73 = 360 km; time = 5 h; 360\/5 = 72 km\/h.","hint":"Weighted average."}]
