Problem Statement

At a stationery shop selling pens, notebooks, and markers at fixed per-piece rates, Lilly buys 6 pens, 23 notebooks, and 7 markers. Swapping her 7 markers for 6 extra notebooks instead would have cut her bill by 23%; swapping her 6 pens for 6 extra notebooks instead would have cut it by 33%. If she'd bought nothing but 36 notebooks, by what percentage would her spending have dropped? 44% 38% 56% 62% Today, Aman's age to Mahesh's age is in the ratio 5 : 7. How many years older is Mahesh than Aman? (I) 7 years ago, Aman's age to Ajay's age was in the ratio 3 : 4. (II) 7 years from now, Aman's age to Dinesh's age will be in the ratio 7 : 8. Mark (A) if statement I alone suffices, (B) if either alone suffices, (C) if both together are needed, or (D) if neither suffices. (A) (B) (C) (D) Let A = {2, 5, 7, 9, 13, 19}. You must pick a 3-element subset of A to serve as the coefficients of a quadratic equation with real roots. How many such subsets exist? 12 10 15 18 Eight friends, A through H,