New project from GMAT Club Every day we'll be bringing back for a discussion interesting and tricky questions from previous years. We will be bumping 5 DS and 5 PS topics every day based on a certain topic (e.g. Arithmetic, Inequalities, Probability, etc): Study 10 hand-picked tough and tricky questions which have not been discussed for at least a year or two (you may have missed them otherwise) Review replies and tips from our expert team and prominent members Get a kudos point for an alternative solution! May 30th (day 1): Work/Rate problems . May 31st (day 2): Word problems . June 3rd (day 3): Statistics and Sets Problems . June 4th (day 4): Sequences . June 5th (day 5): Roots . June 6th (day 6): Remainders . June 7th (day 7): Probability . June 10th (day 8): Percents and Interest Problems . June 11th (day 9): Overlapping Sets . June 12th (day 10): Number Properties . June 13th (day 11): Mixture Problems . June 14th (day 12): Min/Max Problems . June 17th (day 13): Inequalities . June 18th (day 14): Graphs and Illustrations . June 19th (day 15): Must or Could be True Questions . June 20th (day 16): Geometry Questions . June 21st (day 17): Functions and Custom Characters . June 24th (day 18): Fractions/Ratios/Decimals . June 25th (day 19): Exponents . June 26th (day 20): Divisibility/Multiples/Factors . June 27th (day 21): Distance/Rate Problems . June 28th (day 22): Coordinate Geometry . July 1st (day 23): Combinations . July 2nd (day 24): Arithmetic . July 3rd (day 25): Algebra . July 4th (day 26): Absolute Values . July 5th (day 27): Hardest Questions . July 8th (day 28): Posts with most Kudos . July 9th (day 29): Questions Sets . July 10th (day 30): Best Downloads . July 11th (day 31): Theory . July 12th (day 32): Who to Follow in Math Forums? . Kudos for the alternative solutions will be accepted for 24 hours after the question publication (except for Fri questions for which you will have 3 days). Kudos will be awarded prior to the next day's posting; if you have published your solution to yesterday's questions AFTER today's questions are published/announced, you will not receive Kudos. Thank you for providing your solutions in a timely manner.

June 24th (day 18): Fractions/Ratios/Decimals. DS: what-is-the-thousandths-digit-of-the-decimal-p-1-p-is-e-140850.html in-the-decimal-representation-of-x-where-0-x-1-is-the-99281.html if-n-is-an-integer-what-is-the-units-digit-of-x-135123.html if-a-0-abc-where-a-b-and-c-are-digits-of-a-is-a-greater-138282.html if-pool-y-currently-contains-more-water-than-pool-x-and-if-105909.html if-n-is-one-of-the-numbers-in-1-3-3-16-4-7-3-5-then-what-126498.html at-the-end-of-2004-a-certain-farm-had-24-hens-12-cows-128740.html is-the-number-of-seconds-required-to-travel-d1-feet-at-r1-105140.html PS: if-a-taxicab-charges-x-cents-for-the-first-1-9-mile-and-x-97525.html if-3-4-of-the-mineral-deposits-in-a-reservoir-of-water-are-97300.html company-s-produces-two-kinds-of-stereos-basic-and-deluxe-100661.html in-last-examination-roger-scored-marks-in-each-of-5-subjects-128553.html the-table-above-shows-the-amount-of-waste-material-in-tons-86159.html the-ratio-by-volume-of-baking-soda-to-peroxide-to-water-in-133636.html Units digits, exponents, remainders problems: new-units-digits-exponents-remainders-problems-168569.html All DS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=36 All PS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=57

June 25th (day 19): Exponents. DS: is-10-m-95455.html if-m-and-n-are-negative-integers-what-is-the-value-of-m-n-108394.html if-x-and-y-are-nonzero-integers-is-x-1-y-108741.html is-5-k-less-than-1-000-1-5-k-128055.html if-x-y-and-n-are-positive-integers-is-x-y-n-greater-102031.html which-of-the-two-values-10-2-and-10-3-is-x-more-close-129498.html is-3-a-2-b-134754.html PS: if-x-is-a-positive-integer-and-z-is-a-non-negative-integer-128445.html if-66699.html the-positive-value-of-x-that-satisfies-the-equation-1-2x-130803.html which-of-the-following-best-approximates-the-value-of-q-if-99674.html the-function-p-n-on-non-negative-integer-n-is-defined-in-131459.html 4-x-4-x-2-what-is-the-value-of-x-127194.html Theory on Exponents: math-number-theory-88376.html Tips on Exponents: exponents-and-roots-on-the-gmat-tips-and-hints-174993.html All DS Exponents questions to practice: search.php?search_id=tag&tag_id=39 All PS Exponents questions to practice: search.php?search_id=tag&tag_id=60 Tough and tricky DS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125967.html Tough and tricky PS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125956.html

June 26th (day 20): Divisibility/Multiples/Factors. DS: if-k-is-an-integer-greater-than-1-is-k-equal-to-2-r-for-88539.html if-k-m-and-t-are-positive-integers-and-k-6-m-4-t-127989.html if-n-is-a-positive-integer-is-n-2-1-divisible-by-133210.html if-a-and-b-are-positive-integers-divisible-by-6-is-6-the-100324.html shaina-s-five-distinct-digit-locker-code-is-5a48b-what-127335.html is-the-positive-integer-n-a-perfect-square-94700.html if-500-is-the-multiple-of-100-that-is-closest-to-x-and-99421.html PS: how-many-positive-integers-less-than-30-are-either-a-127362.html 10-25-560-is-divisible-by-all-of-the-following-except-126300.html the-sum-of-two-number-is-588-and-their-hcf-is-49-how-many-134111.html if-the-number-x3458623y-is-divisible-by-88-what-is-the-134183.html when-the-product-of-3-070-956-and-n-is-divided-by-720-there-134110.html if-k-is-a-positive-integer-which-of-the-following-must-be-130281.html what-is-the-remainder-when-9-1-9-2-9-3-9-9-is-4987.html if-n-is-a-positive-integer-and-n-2-is-divisible-by-96-then-127364.html All DS Divisibility/Multiples/Factors questions to practice: search.php?search_id=tag&tag_id=354 All PS Divisibility/Multiples/Factors questions to practice: search.php?search_id=tag&tag_id=185

June 27th (day 21): Distance/Rate Problems. DS: train-a-leaves-new-york-for-boston-at-3-pm-and-travels-at-97694.html if-it-took-carlos-1-2-hour-to-cycle-from-his-house-to-129287.html did-it-take-pei-more-than-2-hours-to-walk-a-distance-of-63638.html reiko-drove-from-point-a-to-point-b-at-a-constant-speed-and-138183.html how-long-in-minutes-did-it-take-a-bicycle-wheel-to-roll-130026.html if-he-did-not-stop-along-the-way-what-speed-did-bill-averag-107169.html PS: in-racing-over-a-given-distance-d-at-uniform-speed-a-can-be-135544.html a-cyclist-travels-the-length-of-a-bike-path-that-is-127196.html a-s-speed-is-20-13-times-that-of-b-if-a-and-b-run-a-race-123434.html points-a-b-and-c-lie-in-that-order-on-a-straight-railroa-128147.html points-a-and-b-are-120-km-apart-a-motorcyclist-starts-from-92837.html a-hiker-walked-for-two-days-on-the-second-day-the-hiker-wal-106844.html Theory on Distance/Rate Problems: distance-speed-time-word-problems-made-easy-87481.html All DS Distance/Rate Problems to practice: search.php?search_id=tag&tag_id=44 All PS Distance/Rate Problems to practice: search.php?search_id=tag&tag_id=64

June 28th (day 22): Coordinate Geometry. DS: in-the-xy-coordinate-system-do-any-points-on-line-k-lie-in-127635.html in-the-xy-coordinate-plane-line-l-and-line-k-intersect-at-93771.html lines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-127999.html at-how-many-points-does-line-l-intersect-with-the-parabola-126942.html if-the-slopes-of-the-line-l1-and-l2-are-of-the-same-sign-is-126759.html circle-c-is-in-the-xy-plane-what-is-the-area-of-the-circle-99766.html in-the-xy-plane-a-parabola-intersects-with-axis-y-at-point-106080.html line-m-passes-through-the-origin-line-l-is-parallel-to-line-129281.html PS: in-the-rectangular-coordinate-system-shown-above-which-90285.html all-points-x-y-that-lie-below-the-line-l-satisfy-which-of-85275.html in-the-xy-plane-line-k-has-a-positive-slope-and-and-100739.html points-x-y-and-z-are-located-on-the-rectangular-coordinate-127527.html in-the-coordinate-plane-rectangular-region-r-has-vertices-a-104869.html in-the-xy-plane-each-point-on-the-circle-k-has-non-negative-130899.html in-the-rectangular-coordinate-system-points-4-0-and-86703.html in-the-rectangular-coordinate-system-above-the-line-y-x-129932.html Theory on Coordinate Geometry: math-coordinate-geometry-87652.html All DS Coordinate Geometry Problems to practice: search.php?search_id=tag&tag_id=41 All PS Coordinate Geometry Problems to practice: search.php?search_id=tag&tag_id=62

July 1st (day 23): Combinations. DS: there-are-exactly-6-teams-in-league-x-what-was-the-total-128709.html the-integers-n-and-t-are-positive-and-n-t-1-how-many-129944.html a-certain-panel-is-to-be-composed-of-exactly-three-women-and-108964.html how-many-different-5-person-teams-can-be-formed-from-a-group-96244.html sammy-has-flavors-of-candies-with-which-to-make-goody-bags-137413.html PS: a-photo-is-being-taken-of-central-high-school-s-nine-member-129248.html#p1241499 how-many-numbers-between-0-and-1670-have-a-prime-tens-digit-127319.html#p1241500 ten-telegenic-contestants-with-a-variety-of-personality-129294.html#p1241501 a-certain-company-consists-of-3-managers-and-8-non-managers-131400.html#p1241502 how-many-different-arrangements-of-a-b-c-d-and-e-are-pos-106764.html#p1241503 how-many-different-arrangements-of-letters-are-possible-if-105434.html#p1241504 find-the-number-of-ways-in-which-4-letters-may-be-selected-125939.html#p1241505 a-5-digit-code-consists-of-one-number-digit-chosen-from-132263.html#p1241506 in-the-land-of-oz-only-one-or-two-letter-words-are-used-the-133657.html#p1241507 how-many-even-3-digit-integers-greater-than-700-with-9358.html#p1241508 in-a-business-school-case-competition-the-top-three-teams-135358.html#p1241509 Theory on Combinations: math-combinatorics-87345.html DS questions on Combinations: search.php?search_id=tag&tag_id=31 PS questions on Combinations: search.php?search_id=tag&tag_id=52 Tough and tricky questions on Combinations: hardest-area-questions-probability-and-combinations-101361.html

July 2nd (day 24): Arithmetic. PS: how-many-three-digit-integers-can-be-divided-by-2-to-produce-20332.html the-average-age-of-a-group-of-5-members-is-20-years-two-130848.html jim-is-twice-as-old-as-stephanie-who-four-years-ago-was-131445.html the-table-above-shows-the-various-charges-made-by-two-131525.html jane-started-baby-sitting-when-she-was-18-years-old-114749.html what-is-the-sum-of-the-integers-in-the-table-above-111988.html topic-144735.html the-value-of-2-14-2-15-2-16-2-17-5-is-130682.html m-is-the-sum-of-the-reciprocals-of-the-consecutive-integers-143703.html the-value-of-10-8-10-2-10-7-10-3-is-closest-to-which-of-95082.html the-rear-wheels-of-a-car-crossed-a-certain-line-0-5-second-135753.html DS questions on Arithmetic: search.php?search_id=tag&tag_id=30 PS questions on Arithmetic: search.php?search_id=tag&tag_id=51

July 3rd (day 25): Algebra. DS: if-v-and-w-are-different-integers-does-v-0-1-vw-v-102599.html if-x-x-5-x-2-0-is-x-negative-89304.html#p675513 if-xy-0-does-xy-y-3-1-xy-3-2-y-105766.html#p827416 is-x-m-m-2-n-2-k-2-xm-yn-zk-99423.html for-integers-a-and-b-if-a-3-a-2-b-1-2-7-what-is-the-105959.html#p829393 if-x-and-y-are-positive-integers-and-y-9-x-what-is-the-106993.html PS: the-mean-of-54-820-2-and-123303.html if-f-x-125-x-3-what-is-the-value-of-f-5x-f-x-5-in-terms-137763.html given-that-x-4-25x-2-144-which-of-the-following-is-not-108466.html if-h-x-5-and-x-5-then-h-is-104710.html if-x-4-y-4-100-then-the-greatest-possible-value-of-x-98713.html#p809212 if-f-x-5x-3-2x-8-and-g-y-6y-4-then-g-f-x-131179.html if-x-y-2-and-x-2-xy-10-2y-2-0-what-does-x-2y-128338.html if-x-y-and-k-are-positive-numbers-such-that-x-x-y-128231.html for-all-numbers-x-such-that-x-is-not-equal-1-if-g-x-is-109666.html Theory on Algebra: algebra-101576.html Tips on Algebra: algebra-tips-and-hints-175003.html DS Algebra Questions to practice: search.php?search_id=tag&tag_id=29 PS Algebra Questions to practice: search.php?search_id=tag&tag_id=50 Special algebra set: new-algebra-set-149349.html

July 4th (day 26): Abolute Values. DS: is-x-y-134781.html if-x-2-4-what-is-the-value-of-x-128889.html if-x-0-is-x-x-1-1-x-1-2-x-100669.html if-x-0-is-x-1-1-x-2-1-2-x-1-x-130402.html if-y-is-an-integer-and-y-x-x-is-y-127927.html what-does-2b-equal-134919.html PS: for-how-many-ordered-pairs-x-y-that-are-solutions-of-the-110687.html for-any-non-zero-a-and-b-that-satisfy-ab-ab-and-a-a-127107.html the-area-bounded-by-the-curves-x-y-1-and-x-y-1-is-93103.html if-a-b-a-b-then-a-b-must-be-equal-to-135283.html if-n-is-an-integer-the-greatest-possible-value-of-the-107393.html a-b-which-of-the-following-must-be-true-141468.html Theory on Abolute Values: math-absolute-value-modulus-86462.html Absolute value tips: absolute-value-tips-and-hints-175002.html DS Abolute Values Questions to practice: search.php?search_id=tag&tag_id=37 PS Abolute Values Questions to practice: search.php?search_id=tag&tag_id=58 Hard set on Abolute Values: inequality-and-absolute-value-questions-from-my-collection-86939.html

July 5th (day 27): Hardest Questions. DS: if-x-and-y-are-integer-what-is-the-remainder-when-x-2-y-131418-20.html is-x-2-y-108343-20.html if-x-is-an-integer-what-is-the-value-of-x-1-x-2-4x-94661-20.html if-a-b-and-c-are-integers-such-that-b-a-is-b-c-a-78848.html in-the-xy-plane-region-r-consists-of-all-the-points-x-y-102233-20.html x-and-y-are-positive-integers-such-that-x-8y-12-what-is-the-126743.html PS: if-x-is-positive-which-of-the-following-could-be-correct-71070-20.html if-x-y-2-z-4-which-of-the-following-statements-could-be-100465.html in-a-room-filled-with-7-people-4-people-have-exactly-87550-20.html at-a-certain-hospital-75-of-the-interns-receive-fewer-than-108658.html it-takes-6-days-for-3-women-and-2-men-working-together-to-82718-20.html how-many-positive-integers-less-than-10-000-are-there-in-85291-20.html DS 700 questions: search.php?search_id=tag&tag_id=180 PS 700 questions: search.php?search_id=tag&tag_id=187