← Back to Quizzes Hints: 2/2 Numbers Set – 12 Hard Start Your name (optional): Share Certificate Browse Quizzes Play Again [{"type":"single","prompt":"256 \u00f7 4 \u00d7 (7 + 5) \u2212 3\u00b3 = ?","options":["729","735","741","747"],"answer":[2],"explanation":"256 \u00f7 4 = 64; (7+5)=12; 64\u00d712=768; 3\u00b3=27; 768 \u2212 27 = 741.","hint":"Do bracket \u2192 division \u2192 multiplication \u2192 subtraction."},{"type":"single","prompt":"40% of a number plus 28 equals 70% of the same number minus 14. What is the number?","options":["120","130","140","150"],"answer":[2],"explanation":"0.40x + 28 = 0.70x \u2212 14 \u2192 28+14 = 0.70x \u2212 0.40x \u2192 42 = 0.30x \u2192 x = 140.","hint":"Bring all x-terms one side, constants on the other."},{"type":"single","prompt":"Find the next term in the series: 5, 14, 29, 50, 77, ?","options":["96","100","106","110"],"answer":[3],"explanation":"Differences: 9, 15, 21, 27 \u2192 each time +6. Next gap = 27+6=33 \u2192 77+33=110.","hint":"If pattern isn\u2019t clear, check the differences between terms."},{"type":"single","prompt":"What is the smallest 4-digit number divisible by 21, 28 and 36?","options":["1008","1050","1134","1260"],"answer":[0],"explanation":"LCM(21,28,36).","hint":"First find the LCM, then the first 4-digit multiple of it."},{"type":"single","prompt":"The sum of present ages of A and B is 68 years. Four years ago, A was three times as old as B. How old is A now?","options":["44 years","46 years","49 years","52 years"],"answer":[2],"explanation":"Let present ages be A and B.","hint":"Turn both conditions into equations and solve together."},{"type":"single","prompt":"Find the compound interest on \u20b915,000 at 12% per annum for 2 years (compounded yearly).","options":["\u20b93,600","\u20b93,720","\u20b93,816","\u20b93,900"],"answer":[2],"explanation":"Amount A = P(1 + r)\u00b2 = 15000(1.12)\u00b2 = 15000\u00d71.2544 = \u20b918,816.","hint":"Use A = P(1 + r)\u207f, then subtract principal to get CI."},{"type":"single","prompt":"How many 4-digit numbers greater than 4000 can be formed using digits 0, 2, 4, 5, 7, 8 without repetition, if the number must be even?","options":["120","144","156","168"],"answer":[3],"explanation":"Last digit must be even \u2192 choose from {0,2,4,8}.","hint":"Fix the last digit (even), then count possibilities for the first three."},{"type":"single","prompt":"A bag contains 4 red, 5 blue and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both are blue?","options":["4\/33","5\/33","2\/11","1\/6"],"answer":[1],"explanation":"Total balls = 4+5+3 = 12.","hint":"Multiply probabilities step by step (without replacement changes denominator)."},{"type":"single","prompt":"A car travels half the distance between two cities at 40 km\/h and the other half at 60 km\/h. What is its average speed for the whole journey?","options":["48 km\/h","50 km\/h","52 km\/h","54 km\/h"],"answer":[0],"explanation":"For equal distances, average speed = harmonic mean = (2ab)\/(a + b).","hint":"When distance halves are equal, don\u2019t just average the speeds; use 2ab\/(a+b)."},{"type":"single","prompt":"A two-digit number has a digit sum of 13. When its digits are reversed, the new number is 9 more than the original. What is the original number?","options":["58","67","76","85"],"answer":[1],"explanation":"Let the number be 10a + b.","hint":"Let tens digit be a and units digit be b, then form two equations."}]
