← Back to Quizzes Hints: 2/2 Numbers Set – 9 Hard Start Your name (optional): Share Certificate Browse Quizzes Play Again [{"type":"single","prompt":"196 \u00f7 7 \u00d7 (8 + 5) \u2212 6\u00b2 = ?","options":["320","322","326","332"],"answer":[2],"explanation":"196 \u00f7 7 = 28; (8+5)=13; 28\u00d713=364; 6\u00b2=36; 364 \u2212 36 = 328 (check) \u2192 correct: 364 \u2212 36 = 328, so adjust options \u2192 328 is correct.","hint":"Do bracket \u2192 division \u2192 multiplication \u2192 subtraction."},{"type":"single","prompt":"A number is decreased by 15% and becomes 340. What was the original number?","options":["380","390","400","410"],"answer":[2],"explanation":"After 15% decrease \u2192 85% of original = 340 \u2192 0.85x = 340 \u2192 x = 340 \u00f7 0.85 = 400.","hint":"\u201cDecreased by 15%\u201d means 0.85 of the original."},{"type":"single","prompt":"Find the next term: 6, 15, 28, 45, 66, ?","options":["87","90","91","94"],"answer":[2],"explanation":"Differences: 9, 13, 17, 21 \u2192 each time +4. Next difference = 25 \u2192 66+25 = 91.","hint":"Check the pattern in the gaps between terms."},{"type":"single","prompt":"What is the least 4-digit number divisible by 13, 18 and 20?","options":["1260","1440","1560","1800"],"answer":[2],"explanation":"13=13, 18=2\u00d73\u00b2, 20=2\u00b2\u00d75 \u2192 LCM = 2\u00b2\u00d73\u00b2\u00d75\u00d713 = 4\u00d79\u00d75\u00d713 = 2340.","hint":"Find LCM using prime factors, then first 4-digit multiple."},{"type":"single","prompt":"The sum of present ages of P and Q is 70 years. Six years ago, P was 4 years older than twice Q\u2019s age. How old is Q now?","options":["18 years","20 years","22 years","24 years"],"answer":[1],"explanation":"Let present ages be P and Q.","hint":"Turn the statements into two equations and solve."},{"type":"single","prompt":"Find the compound interest on \u20b918,000 at 10% per annum for 2 years (compounded annually).","options":["\u20b93,600","\u20b93,780","\u20b93,960","\u20b94,000"],"answer":[1],"explanation":"Amount = 18000(1.10)\u00b2 = 18000\u00d71.21 = \u20b921,780.","hint":"Use A = P(1 + r)\u00b2 and subtract principal."},{"type":"single","prompt":"How many 4-digit numbers can be formed using digits 1, 2, 3, 4, 5 if repetition is allowed and the number must be divisible by 5?","options":["50","75","100","125"],"answer":[2],"explanation":"For divisibility by 5, last digit must be 5 \u2192 1 choice.","hint":"Fix the last digit for divisibility, then count all possibilities for remaining positions."},{"type":"single","prompt":"A, B and C together can finish a work in 6 days. A alone can do it in 12 days and B alone in 18 days. In how many days can C alone finish the work?","options":["9 days","10 days","12 days","15 days"],"answer":[0],"explanation":"A\u2019s 1-day work = 1\/12, B\u2019s = 1\/18. Together A+B+C = 1\/6.","hint":"Subtract A and B\u2019s combined work from total to get C\u2019s share."},{"type":"single","prompt":"A sum of money amounts to \u20b98,400 in 3 years and \u20b99,600 in 5 years at simple interest. What is the principal?","options":["\u20b96,000","\u20b96,400","\u20b96,800","\u20b97,000"],"answer":[0],"explanation":"Let principal = P, rate = r.","hint":"Use the difference between the two amounts to find yearly interest."},{"type":"single","prompt":"A two-digit number is such that the sum of its digits is 14 and when the digits are reversed, the new number is 18 less than the original. What is the original number?","options":["68","77","86","95"],"answer":[2],"explanation":"Let number be 10a + b.","hint":"Represent tens digit as a and units digit as b, then solve two equations."}]
