New project! Review, Discuss, and Get Points!!!

Question

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.

Bunuel · Accepted Answer

May 30th (day 1): Work/Rate problems.

DS:
jane-can-paint-the-wall-in-j-hours-and-bill-can-paint-the-87131.html
machines-x-and-v-produced-identical-bottles-at-different-104208.html
if-ruth-began-a-job-and-worked-continuously-until-she-130400.html
an-empty-swimming-pool-with-a-capacity-of-75-000-liters-is-130024.html
machines-x-and-y-run-simultaneously-at-their-respective-129110.html

PS:
it-takes-6-technicians-a-total-of-10-hours-to-build-and-92581.html
pipe-a-fills-a-tank-of-capacity-700-liters-at-the-rate-of-93482.html
machine-a-can-process-6000-envelopes-in-3-hours-machines-b-105362.html
a-furniture-manufacturer-has-two-machines-but-only-one-can-107510.html
an-empty-pool-being-filled-with-water-at-a-constant-rate-tak-108836.html

Theory on work/rate problems: work-word-problems-made-easy-87357.html

All DS work/rate problems to practice: search.php?search_id=tag&tag_id=46
All PS work/rate problems to practice: search.php?search_id=tag&tag_id=66

Bunuel · Answer

July 10th (day 30): Best Downloads (Questions, Theory, and more).

GMAT MATH BOOK in downloadable PDF format: gmat-math-book-in-downloadable-pdf-format-130609.html

700+ GMAT Data Sufficiency Questions With Explanations: 700-gmat-data-sufficiency-questions-with-explanations-100617.html

Tough Problem Solving Questions With Solutions: tough-problem-solving-questions-with-solutions-100858.html

Probability and Combinations: hardest-area-questions-probability-and-combinations-101361.html

Extreme collection of 2000 DS and PS Questions: 1001-ds-questions-file-106193.html

Collection of Percentage Questions (PS/DS): valuable-collection-of-percentage-questions-ps-ds-120101.html

GMATPrep PS Question Bank: gmatprep-ps-question-bank-130073.html

Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS: bunuel-signature-collection-all-in-one-with-solutions-146628.html

10 Full Length GMAT Pen&Paper Tests: 10-full-length-gmat-pen-paper-tests-137463.html

Veritas Prep Blog PDF Version: veritas-prep-blog-pdf-version-144915.html

All downloads: search.php?search_id=tag&tag_id=353

Bunuel · Answer

RESERVED.........

Bunuel · Answer

May 31st (day 2): Word problems.

DS:
if-the-base-score-is-between-10-and-99-the-bonus-is-equal-95183.html
whenever-martin-has-a-restaurant-bill-with-an-amount-between-109252.html
a-rental-car-agency-purchases-fleet-vehicles-in-two-sizes-a-105682.html
the-table-above-shows-the-cancellation-fee-schedule-that-a-101923.html
of-the-66-people-in-a-certain-auditorium-at-most-6-people-95560.html

PS:
rita-and-sam-play-the-following-game-with-n-sticks-on-a-130173.html
each-week-harry-is-paid-x-dollars-per-hour-for-the-first-131475.html
a-certain-theater-has-100-balcony-seats-for-every-131524.html
a-certain-telephone-company-offers-two-plans-a-and-b-under-126763.html
a-company-hired-a-printer-to-produce-a-total-of-x-127892.html

Theory on word problems: word-problems-made-easy-87346.html

All DS word problems to practice: search.php?search_id=tag&tag_id=183
All PS word problems to practice: search.php?search_id=tag&tag_id=56

Bunuel · Answer

June 3rd (day 3): Statistics and Sets Problems.

DS:
if-m-is-a-sequence-of-consecutive-integers-which-contains-132988.html
jerry-bought-7-clothing-items-including-a-coat-and-the-sum-131252.html
set-x-consists-of-seven-consecutive-integers-and-set-y-128503.html
if-the-average-arithmetic-mean-of-4-numbers-is-30-how-128087.html
what-is-the-average-arithmetic-mean-height-of-the-n-people-129464.html

PS:
a-computer-chip-manufacturer-expects-the-ratio-of-the-number-126050.html
a-certain-list-of-200-test-scores-has-an-average-131448.html
if-the-mean-of-set-s-does-not-exceed-mean-of-any-subset-of-126111.html
the-list-shown-consist-of-the-times-in-seconds-that-it-91966.html
s-is-a-set-containing-9-different-numbers-t-is-a-set-contai-101912.html

Theory on Statistics and Sets problems: math-standard-deviation-87905.html

All DS Statistics and Sets problems to practice: search.php?search_id=tag&tag_id=34
All PS Statistics and Sets problems to practice: search.php?search_id=tag&tag_id=55

Bunuel · Answer

June 4thd (day 4): Sequences.

DS:
sequence-s-consists-of-24-nonzero-integers-if-each-term-in-98728.html
an-infinite-sequence-of-positive-integers-is-called-a-127696.html
a-set-of-nonnegative-integers-consists-of-140360.html
in-the-sequence-shown-a-n-a-n-1-k-where-2-n-15-and-k-126119.html
in-the-sequence-of-positive-numbers-x1-x2-x3-what-96206.html

PS:
in-a-certain-sequence-every-term-after-the-first-is-determi-126030.html
a-square-is-drawn-by-joining-the-midpoints-of-the-sides-of-a-102880.html
the-sequence-a-1-a-2-a-n-is-such-that-128489.html
in-a-certain-sequence-the-term-xn-is-given-by-the-formula-144376.html
how-many-terms-of-the-series-r-124330.html

Theory on sequences problems: sequences-progressions-101891.html

All DS sequences problems to practice: search.php?search_id=tag&tag_id=111
All PS sequences problems to practice: search.php?search_id=tag&tag_id=112

Bunuel · Answer

June 5th (day 5): Roots.

DS:
what-is-the-value-of-x-104274.html
if-y-is-a-positive-integer-is-root-y-an-integer-108287.html
if-x-is-a-positive-integer-is-root-x-an-integer-90619.html
is-7x-1-2-an-integer-145680.html
what-is-the-cube-root-of-w-136884.html

PS:
square-root-126567.html
the-value-of-cube-root-of-89-is-86290.html
if-x-1-6-6-then-x-6-is-129919.html
for-which-of-the-following-values-of-x-is-99744.html
which-of-the-following-is-the-value-of-root-3rd-rt-136562.html

Theory on roots problems: math-number-theory-88376.html
Tips on Roots: exponents-and-roots-on-the-gmat-tips-and-hints-174993.html

All DS roots problems to practice: search.php?search_id=tag&tag_id=49
All PS roots problems to practice: search.php?search_id=tag&tag_id=113

Tough and tricky exponents and roots questions (DS): tough-and-tricky-exponents-and-roots-questions-125967.html
Tough and tricky exponents and roots questions (PS): new-tough-and-tricky-exponents-and-roots-questions-125956.html

Bunuel · Answer

June 6th (day 6): Remainders.

DS:
the-integers-m-and-p-are-such-that-2-m-p-and-m-is-not-a-101360.html
seven-integers-x1-x2-x3-x4-x5-x6-and-x7-are-picked-73611.html
if-w-x-y-and-z-are-the-digits-of-the-four-digit-number-n-91848.html
if-k-is-a-positive-integer-what-is-the-reminder-when-2-k-126478.html
a-person-inherited-few-gold-coins-from-his-father-if-he-132500.html

PS:
when-positive-integer-x-is-divided-by-5-the-remainder-is-128470.html
for-a-nonnegative-integer-n-if-the-remainder-is-1-when-2n-104331.html
if-n-is-a-positive-integer-what-is-the-remainder-when-105067.html
what-is-the-remainder-when-43-86-is-divided-by-134778.html
n-1000x-100y-10z-remainder-of-n-140957.html

Theory on remainders problems: remainders-144665.html
Tips on remainders: remainders-tips-and-hints-175000.html

Units digits, exponents, remainders problems: new-units-digits-exponents-remainders-problems-168569.html

All DS remainders problems to practice: search.php?search_id=tag&tag_id=198
All PS remainders problems to practice: search.php?search_id=tag&tag_id=199

Bunuel · Answer

June 7th (day 7): Probability.

DS:
a-box-contains-10-light-bulbs-fewer-than-half-of-which-are-99940.html
a-drawer-contains-36-socks-and-2-socks-are-selected-at-85761.html
a-committee-consists-of-n-women-and-k-men-in-addition-there-127620.html
a-drawer-contains-8-socks-and-2-socks-are-selected-at-86757.html
if-x-is-to-be-selected-at-random-from-t-what-is-the-probabi-69036.html

PS:
a-circular-racetrack-is-3-miles-in-length-and-has-signs-post-106203.html
a-certain-team-has-12-members-including-joey-a-three-131321.html
six-people-are-on-an-elevator-that-stops-at-exactly-6-floors-127783.html
two-dice-are-tossed-once-the-probability-of-getting-an-even-126477.html
a-coin-is-tossed-7-times-find-the-probability-of-getting-125693.html
in-the-graduating-class-of-a-certain-college-48-percent-of-129382.html#p1233484

Theory on probability problems: math-probability-87244.html

All DS probability problems to practice: search.php?search_id=tag&tag_id=33
All PS probability problems to practice: search.php?search_id=tag&tag_id=54

Tough probability questions: hardest-area-questions-probability-and-combinations-101361.html

Bunuel · Answer

June 10th (day 8): Percent and Interest Problems.

DS:
is-x-of-x-of-y-equal-to-x-less-than-y-1-x-x-101953.html
jack-and-mark-both-received-hourly-wage-increases-of-6-perce-126612.html
10-000-is-deposited-in-a-certain-account-that-pays-r-65464.html
martha-bought-an-armchair-and-a-coffee-table-at-an-action-128421.html
a-certain-salesman-s-yearly-income-is-determined-by-a-base-126533.html
whenever-sally-takes-a-cab-and-the-fare-is-between-15-and-108351.html

PS:
all-votes-cast-in-a-recent-presidential-election-were-for-128831.html
an-investment-of-d-dollars-at-k-percent-simple-annual-106083.html
angela-s-grade-was-in-the-90th-percentile-out-of-80-grades-106011.html
bobby-bought-2-shares-and-which-he-sold-for-96-each-if-he-106148.html
leona-bought-a-1-year-10-000-certificate-of-deposit-that-143742.html

Theory on Percent and Interest Problems: math-number-theory-percents-91708.html

All DS Percent and Interest Problems to practice: search.php?search_id=tag&tag_id=33
All PS Percent and Interest Problems to practice: search.php?search_id=tag&tag_id=54

Bunuel · Answer

June 11th (day 9): Overlapping Sets.

DS:
in-a-certain-building-1-5-of-the-offices-have-both-a-window-141254.html
a-town-t-has-40-000-residents-25-percent-of-whom-are-age-128196.html
in-washington-school-150-students-study-physics-or-biology-129143.html
each-member-of-a-pack-of-55-wolves-has-either-brown-or-blue-122299.html
in-a-group-of-80-college-students-how-many-own-a-car-95019-20.html
each-first-year-student-at-a-certain-school-selects-either-129832.html
of-the-800-sweaters-in-a-certain-store-150-are-red-how-75446.html
are-at-least-80-percent-of-the-people-in-country-x-131639.html

PS:
3-8-of-all-students-at-social-high-are-in-all-three-of-the-99549.html
in-a-class-of-50-students-20-play-hockey-15-play-cricket-131736.html
in-a-group-of-68-students-each-student-is-registered-for-at-106500.html
in-a-village-of-100-households-75-have-at-least-one-dvd-98257.html
at-company-x-44-of-the-employees-that-own-laptops-do-not-135422.html
there-are-150-students-at-seward-high-school-66-students-106249.html

Theory on Overlapping Sets:
advanced-overlapping-sets-problems-144260.html
how-to-draw-a-venn-diagram-for-problems-98036.html

All DS Overlapping Sets Problems to practice: search.php?search_id=tag&tag_id=45
All PS Overlapping Sets Problems to practice: search.php?search_id=tag&tag_id=65

Bunuel · Answer

June 12th (day 10): Number Properties.

DS:
is-a-even-133175.html
how-many-different-prime-numbers-are-factors-of-the-positive-102487.html
if-z-is-an-integer-is-z-prime-128732.html
if-x-y-and-z-are-positive-integers-where-x-y-and-z-x-126859.html
is-x-the-square-of-an-integer-126385.html
if-y-is-a-positive-integer-is-square-root-of-y-135115.html

PS:
if-x-and-y-are-positive-integers-greater-than-1-such-that-x-144175.html
for-every-positive-even-integer-n-the-function-h-n-is-126691.html
which-of-the-following-numbers-is-not-prime-131816.html
for-any-integer-k-1-the-term-length-of-an-integer-108124.html
if-y-is-the-smallest-positive-integer-such-that-65323.html

Theory on Number Properties: math-number-theory-88376.html
Tips on Number Properties: number-properties-tips-and-hints-174996.html

All DS Number Properties Problems to practice: search.php?search_id=tag&tag_id=38
All PS Number Properties Problems to practice: search.php?search_id=tag&tag_id=59

Bunuel · Answer

June 13th (day 11): Mixture Problems.

DS:
material-a-costs-3-per-kilogram-and-material-b-costs-109070.html
a-contractor-combined-x-tons-of-a-gravel-mixture-that-102681.html
in-what-ratio-should-solution-1-and-solution-2-be-mixed-to-103998.html
one-kilogram-of-a-certain-coffee-blend-consists-of-x-129623.html
the-table-above-gives-the-number-of-calories-and-grams-of-129998.html

PS:
the-final-exam-of-a-particular-class-makes-up-40-of-the-105651.html
a-certain-shade-of-gray-paint-is-obtained-by-mixing-3-parts-94997.html
mixture-a-is-15-percent-alcohol-and-mixture-b-is-50-percent-107787.html
each-of-the-cucumbers-in-100-pounds-of-cucumbers-is-composed-102354.html
miguel-is-mixing-up-a-salad-dressing-regardless-of-the-109740.html

All DS Mixture Problems to practice: search.php?search_id=tag&tag_id=43
All PS Mixture Problems to practice: search.php?search_id=tag&tag_id=114

Bunuel · Answer

June 14th (day 12): Min/Max Problems.

DS:
max-x-y-is-defined-as-the-maximum-of-x-and-y-and-min-x-y-128330.html
for-any-integers-x-and-y-min-x-y-and-max-x-y-denote-the-94998.html
each-person-on-a-committee-with-40-members-voted-for-exactly-129999.html

PS:
if-x-y-and-z-are-positive-integers-and-3x-4y-7z-then-140129.html
coins-are-to-be-put-into-7-pockets-so-that-each-pocket-128587.html
five-peices-of-wood-have-an-average-length-of-124-inches-and-123513.html
in-a-class-of-30-students-2-students-did-not-borrow-any-129624.html
if-the-population-of-city-a-is-increased-by-a-in-year-130222.html
a-cyclist-travels-the-length-of-a-bike-path-that-is-116960.html
four-carpenters-can-individually-complete-a-particular-task-133968.html
if-5400mn-k-4-where-m-n-and-k-are-positive-integers-109284.html
in-a-company-with-48-employees-some-part-time-and-some-full-132442.html
of-the-200-employees-in-a-certain-company-25-percent-will-128189.html
of-the-science-books-in-a-certain-supply-room-50-are-on-131100.html

All DS Min/Max Problems to practice: search.php?search_id=tag&tag_id=42
All PS Min/Max Problems to practice: search.php?search_id=tag&tag_id=63

Bunuel · Answer

June 17th (day 13): Inequality Problems.

DS:
if-vmt-0-is-v-2-m-3-t-97678.html
if-1-3-z-2-3-then-what-is-the-value-of-z-128823.html
is-y-128610.html
if-xy-4-is-x-2-1-y-1-2-y-x-129251.html
what-is-the-value-of-integer-x-93008.html

PS:
a-b-c-d-are-positive-integers-such-that-exactly-one-of-86893.html
which-of-the-following-inequalities-has-a-solution-set-that-130666.html
if-n-denotes-a-number-to-the-left-of-0-on-the-number-line-91659-20.html
which-of-the-following-describes-all-values-of-x-for-which-68930.html
if-x-y-z-but-x-2-y-2-z-2-0-which-142225.html
which-of-the-following-represents-the-complete-range-of-x-108884.html

Theory on Inequalities:
Solving Quadratic Inequalities - Graphic Approach: solving-quadratic-inequalities-graphic-approach-170528.html
Inequality tips: tips-and-hints-for-specific-quant-topics-with-examples-172096.html#p1379270

inequalities-trick-91482.html
data-suff-inequalities-109078.html
range-for-variable-x-in-a-given-inequality-109468.html
everything-is-less-than-zero-108884.html
graphic-approach-to-problems-with-inequalities-68037.html

All DS Inequalities Problems to practice: search.php?search_id=tag&tag_id=184
All PS Inequalities Problems to practice: search.php?search_id=tag&tag_id=189

700+ Inequalities problems: inequality-and-absolute-value-questions-from-my-collection-86939.html

Bunuel · Answer

June 18th (day 14): Graphs and Illustrations.

DS:
each-of-the-letters-in-the-table-above-represents-one-of-the-143777.html
the-figure-above-represents-a-circle-graph-of-company-h-s-143774.html

PS:
yesterday-each-of-the-35-members-of-a-certain-task-force-85576.html
in-the-addition-table-shown-above-what-is-the-value-of-m-n-104214.html
the-table-shows-the-results-of-a-poll-which-asked-drivers-97818.html
with-respect-to-the-division-whose-percent-of-total-income-129253.html
in-1980-approximately-what-fraction-of-the-cost-to-the-130361.html
the-dots-on-the-graph-above-indicate-the-weights-and-fuel-138294.html
according-to-the-chart-shown-which-of-the-following-is-143979.html
each-senior-in-a-college-course-wrote-a-thesis-the-lengths-126964.html

All DS Graphs and Illustrations Problems to practice: search.php?search_id=tag&tag_id=240
All PS Graphs and Illustrations Problems to practice: search.php?search_id=tag&tag_id=239

Bunuel · Answer

June 19th (day 15): Must or Could be True Questions.

PS:
if-d-0-and-0-1-c-d-1-which-of-the-following-must-be-19562.html
if-4x-12-x-9-which-of-the-following-must-be-true-101732.html
which-of-the-following-must-be-true-if-the-square-root-of-x-144504.html
if-4-7-x-3-which-of-the-following-must-be-true-99015.html
stephanie-regine-and-brian-ran-a-20-mile-race-stephanie-98648.html
if-x-a-and-b-are-positive-integers-such-that-when-x-is-101946.html
the-ratio-of-cupcakes-to-children-at-a-particular-birthday-143833.html
if-a-and-b-are-positive-integers-such-that-a-b-and-a-b-are-88108.html
if-x-is-the-average-arithmetic-mean-of-5-consecutive-even-131702.html
if-y-m-2-which-of-the-following-must-be-true-133591.html
if-a-and-b-are-different-positive-integers-and-a-b-a-a-b-101025.html

All Must or Could be True Questions to practice: search.php?search_id=tag&tag_id=193

Bunuel · Answer

June 20 th (day 16): Geometry Questions.

DS:
in-pqr-if-pq-x-qr-x-2-and-pr-y-which-of-the-110404.html
what-is-the-length-of-segment-bc-90399.html
what-is-the-volume-of-the-cube-above-103680.html
is-triangle-abc-isosceles-106004.html
if-cd-6-what-is-the-length-of-bc-86436.html

PS:
if-the-perimeter-of-square-region-s-and-the-perimeter-of-rec-127004.html
the-outline-of-a-sign-for-an-ice-cream-store-is-made-by-62202.html
which-of-the-figures-below-can-be-inscribed-in-a-circle-127894.html
if-the-box-shown-is-a-cube-then-the-difference-in-length-127463.html
in-the-diagram-points-a-b-and-c-are-on-the-diameter-of-127285.html
in-the-figure-circle-o-has-center-o-diameter-ab-and-a-127386.html
in-triangle-abc-if-bc-3-and-ac-4-then-what-is-the-126937.html

Theory on Geometry:
Triangles
Polygons
Circles
Coordinate geometry
3-D Geometries

3-D Geometry Questions: 3-d-geometry-questions-171024.html
Shaded Region Problems: new-geometry-shaded-region-problems-168426.html
Probability and Geomtry: special-questions-155788.html#p1374416

All DS Geometry to practice: search.php?search_id=tag&tag_id=32
All PS Geometry to practice: search.php?search_id=tag&tag_id=53

Bunuel · Answer

June 21st (day 17): Functions and Custom Characters.

DS:
if-the-operation-is-one-of-the-four-arithmetic-operations-101283.html
if-the-symbol-represents-either-addition-or-multiplication-104600.html
if-denotes-one-of-the-four-arithmetic-operations-addition-105472.html
if-denotes-one-of-two-arithmetic-operations-addition-or-50178.html
denotes-to-be-the-least-integer-no-less-than-x-is-130841.html

PS:
the-operation-x-n-for-all-positive-integers-greater-than-99064.html
functions-problem-need-help-93184.html
if-the-function-q-is-defined-by-the-formula-q-5w-4x-z-131051.html
ax-y-is-an-operation-that-adds-1-to-y-135277.html
k-and-l-are-each-four-digit-positive-integers-with-thousands-126646.html
for-all-positive-integers-m-3m-when-m-is-odd-125937.html

All DS Functions and Custom Characters questions: search.php?search_id=tag&tag_id=40
All PS Functions and Custom Characters questions: search.php?search_id=tag&tag_id=61

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