Seven Samurai of 2012

Absolute Values
1. if-x-x-x-which-of-the-following-must-be-true-about-x-68886.html - 7 Kudos
2. which-of-the-following-represents-the-complete-range-of-x-108884.html - 3 Kudos
3. the-area-bounded-by-the-curves-x-y-1-x-y-1-is-93103.html - 2 Kudos
4. what-is-x-1-x-2-2-x-3x-126874.html - 1 Kudos
5. for-a-negative-integer-x-what-is-the-value-of-x-root-x-126434.html - 1 Kudos
6. which-of-the-following-represents-1-x-126845.html - 1 Kudos
7. x-2-y-2-0-1-and-x-y-0-2-then-the-value-of-x-86548.html - 1 Kudos

Algebra and Arithmetic
1. in-the-addition-table-shown-above-what-is-the-value-of-m-n-104214.html - 3 Kudos
2. how-many-times-will-the-digit-7-be-written-when-listing-the-97153.html - 3 Kudos
3. xy-z-x-y-z-which-of-the-following-must-be-true-a-x-0-and-101575.html - 3 Kudos
4. given-that-a-b-c-and-d-are-different-nonzero-digits-and-126865.html - 3 Kudos
5. if-x-y-and-k-are-positive-numbers-such-that-x-x-y-128231.html - 3 Kudos
6. the-sum-of-the-first-k-positive-integers-is-equal-to-k-k-126289.html - 2 Kudos
7. for-all-positive-integers-m-3m-when-m-is-odd-125937.html - 2 Kudos

Combinations
1. how-many-positive-integers-less-than-10-000-are-there-in-85291.html - 20 Kudos
2. letter-arrangements-understanding-probability-and-combinats-84912.html - 18 Kudos
3. how-many-odd-three-digit-integers-greater-than-800-are-there-94655.html - 7 Kudos
4. how-many-five-digit-numbers-can-be-formed-using-digits-91597.html - 6 Kudos
5. there-are-3-red-chips-and-2-blue-ones-when-arranged-in-a-54481.html - 5 Kudos
6. meg-and-bob-are-among-the-5-participants-in-a-cycling-race-58095.html - 5 Kudos
7. if-x-represents-the-sum-of-all-the-positive-three-digit-91007.html - 4 Kudos

Coordinate Geometry
1. what-is-the-area-of-a-triangle-with-the-following-vertices-125983.html - 6 Kudos
2. ln-the-coordinate-plane-line-k-passes-through-the-origin-121790.html - 6 Kudos
3. a-certain-square-is-to-be-drawn-on-a-coordinate-plane-127018.html - 6 Kudos
4. the-x-y-coordinates-of-points-p-and-q-are-2-9-and-127768.html - 2 Kudos
5. in-the-xy-plane-line-k-has-a-positive-slope-and-and-100739.html - 2 Kudos
6. if-equation-x-2-y-2-5-encloses-a-certain-region-126117.html - 2 Kudos
7. set-t-consists-of-all-points-x-y-such-that-x-2-y-2-1-if-15626.html - Kudos

Geometry
1. the-points-r-t-and-u-lie-on-a-circle-that-has-radius-86376.html - 8 Kudos
2. a-thin-piece-of-paper-40-mt-long-106671.html - 5 Kudos
3. in-the-figure-above-triangles-abc-and-mnp-are-both-isosceles-127532.html - 4 Kudos
4. in-the-diagram-points-a-b-and-c-are-on-the-diameter-of-127285.html - 4 Kudos
5. a-certain-right-triangle-has-sides-of-length-x-y-and-z-107872.html - 3 Kudos
6. in-the-circle-above-pq-is-parallel-to-diameter-or-93977.html - 3 Kudos
7. if-a-is-the-center-of-the-circle-shown-above-83638.html - 3 Kudos

Distance/Rate and Work/Rate problems
1. a-bus-from-city-m-is-traveling-to-city-n-at-a-constant-speed-86478.html - 24 Kudos
2. a-s-speed-is-20-13-times-that-of-b-if-a-and-b-run-a-race-123434.html - 4 Kudos
3. car-b-starts-at-point-x-and-moves-clockwise-around-128215.html - 3 Kudos
4. a-cyclist-travels-the-length-of-a-bike-path-that-is-127196.html - 2 Kudos
5. points-a-b-and-c-lie-in-that-order-on-a-straight-railroa-128147.html - 1 Kudos
6. a-certain-car-averages-25-miles-per-gallon-of-gasoline-when-128139.html - 1 Kudos
7. stephanie-regine-and-brian-ran-a-20-mile-race-stephanie-127050.html - 1 Kudos

Divisibility/Multiples/Factors
1. if-integer-k-is-equal-to-the-sum-of-all-even-multiples-of-125961.html - 6 Kudos
2. how-many-multiples-of-4-are-there-between-12-and-94862.html - 5 Kudos
3. if-x-is-an-integer-then-x-x-1-x-k-must-be-evenly-divisible-126853.html - 3 Kudos
4. 10-25-560-is-divisible-by-all-of-the-following-except-126300.html - 3 Kudos
5. how-many-numbers-that-are-not-divisible-by-6-divide-evenly-126647.html - 3 Kudos
6. the-three-digits-of-a-number-add-to-11-the-number-is-126970.html - 3 Kudos
7. if-n-is-a-positive-integer-and-n-2-is-divisible-by-96-then-127364.html - 2 Kudos

Exponents and Roots
1. the-sum-of-the-squares-of-the-first-15-positive-integers-86903.html - 6 Kudos
2. if-n-is-a-non-negative-integer-such-that-12n-is-a-divisor-of-101264.html - 3 Kudos
3. k-and-l-are-each-four-digit-positive-integers-with-thousands-91004.html - 3 Kudos
4. what-is-the-greatest-prime-factor-of-104757.html - 2 Kudos
5. if-1-5-m-1-4-18-frac-127321.html - 2 Kudos
6. if-k-and-x-are-positive-integers-and-x-is-divisible-by-103945.html - 2 Kudos
7. the-function-f-is-defined-for-each-positive-three-digit-100847.html - 2 Kudos

Statistics, Sequences and Functions
1. for-which-of-the-following-functions-f-is-f-x-f-1-x-for-85751.html - 8 Kudos
2. for-every-positive-even-integer-n-the-function-h-n-is-126691.html - 3 Kudos
3. set-r-contains-five-numbers-that-have-an-average-value-of-102087.html - 3 Kudos
4. a-certain-car-traveled-twice-as-many-miles-from-town-a-108368.html - 3 Kudos
5. for-which-of-the-following-functions-is-f-a-b-f-b-f-a-124491.html - 3 Kudos
6. the-average-arithmetic-mean-of-the-5-positive-integers-k-107059.html - 3 Kudos
7. the-residents-of-town-x-participated-in-a-survey-83362.html#p624943 - 2 Kudos

Fractions/Ratios/Decimals
1. a-computer-chip-manufacturer-expects-the-ratio-126050.html - 5 Kudos
2. at-a-certain-school-the-ratio-of-the-number-of-second-80959.html - 4 Kudos
3. a-widow-received-1-3-of-her-husband-s-estate-125468.html - 3 Kudos
4. if-10-50-74-is-written-as-an-integer-in-base-10-notation-51062.html - 2 Kudos
5. a-new-tower-has-just-been-built-at-the-verbico-military-124916.html - 2 Kudos
6. in-a-acertain-company-the-ratio-of-the-numer-of-manager-to-101407.html - 2 Kudos
7. if-2-3-of-the-air-in-a-tank-is-removed-with-each-stroke-of-a-128432.html - 2 Kudos

Inequalities
1. if-x-is-positive-which-of-the-following-could-be-correct-71070.html - 8 Kudos
2. which-of-the-following-inequalities-has-a-solution-set-that-127820.html - 4 Kudos
3. if-a-b-and-c-0-which-of-the-following-are-true-89419.html - 2 Kudos
4. range-for-variable-x-in-a-given-inequality-109468.html - 2 Kudos
5. if-u-t-r-q-s-t-and-t-r-which-of-the-following-127084.html - 1 Kudos
6. if-n-is-an-integer-and-5-n-4-000-000-what-is-the-least-127815.html - 1 Kudos
7. if-o-x-4-and-y-12-which-of-the-following-127123.html - 1 Kudos

Mixture Problems
1. joseph-bought-two-varieties-of-rice-costing-5-cents-per-127602.html - 8 Kudos
2. if-x-y-2-z-4-which-of-the-following-statements-could-be-100465.html - 5 Kudos
3. miguel-is-mixing-up-a-salad-dressing-regardless-of-the-109740.html - 4 Kudos
4. eight-litres-are-drawn-off-from-a-vessel-full-of-water-and-s-95749.html - 4 Kudos
5. a-big-container-is-30-full-with-water-if-18-liters-of-127020.html - 3 Kudos
6. the-salinity-of-the-atlantic-ocean-averages-37-parts-per-85117.html - 3 Kudos
7. if-after-200-grams-of-water-were-added-to-the-24-solution-99103.html - 3 Kudos

Number Properties
1. in-a-certain-game-a-large-bag-is-filled-with-blue-green-126425.html - 5 Kudos
2. in-n-is-a-positive-integer-smaller-than-200-and-14n-60-is-124863.html - 3 Kudos
3. consider-a-regular-polygon-of-p-sides-the-number-of-values-114008.html - 3 Kudos
4. how-many-prime-numbers-between-1-and-77732.html - 2 Kudos
5. p-is-a-prime-number-if-6p-is-between-15-and-127114.html - 2 Kudos
6. if-x-is-an-even-integer-which-of-the-following-must-be-an-53718.html - 2 Kudos
7. if-p-is-the-product-of-the-integers-from-1-to-30-inclusive-96176.html - 1 Kudos

Overlapping sets
1. in-a-village-of-100-households-75-have-at-least-one-dvd-98257.html - 5 Kudos
2. if-n-and-y-are-positive-integers-and-450y-n-92562.html - 3 Kudos
3. sets-from-veritas-book-maximize-and-minimize-123692.html - 2 Kudos
4. of-a-group-of-people-10-play-piano-11-play-guitar-14-play-86070.html - 2 Kudos
5. the-table-gives-three-factors-to-be-considered-when-choosing-98936.html - 2 Kudos
6. each-of-435-bags-contains-at-least-one-of-the-following-127872.html - 1 Kudos
7. in-a-survey-conducted-with-100-people-for-the-movies-seen-128593.html - 1 Kudos

Remainders
1. when-positive-integer-n-is-divided-by-5-the-remainder-is-90442.html - 17 Kudos
2. when-positive-integer-x-is-divided-by-5-the-remainder-is-71775.html - 5 kudos
3. two-numbers-when-divided-by-a-divisor-leave-reminders-of-123645.html - 4 Kudos
4. 3-32-50-gives-remainder-and-denotes-fractional-part-of-86322.html - 2 Kudos
5. when-positive-integer-x-is-divided-by-5-the-remainder-is-128470.html - 2 Kudos
6. when-n-is-divided-by-5-the-remainder-is-2-when-n-is-divided-82624.html - 2 Kudos
7. if-n-is-a-prime-number-greater-than-3-what-is-the-remainder-122490.html - 1 Kudos

Sequences
1. for-every-integer-k-from-1-to-10-inclusive-the-kth-term-of-88874.html - 10 Kudos
2. series-a-n-is-such-that-i-a-i-j-a-j-for-any-pair-of-127175.html - 7 Kudos
3. s-is-the-infinite-sequence-s1-2-s2-22-s3-97477.html - 2 Kudos
4. the-infinite-sequence-s-k-is-defined-as-s-k-10-s-k-1-k-126033.html - 2 Kudos
5. for-every-integer-m-from-1-to-100-inclusive-the-mth-term-128575.html - 1 Kudos
6. sequence-s-consists-of-16-consecutive-integers-if-6-is-the-128428.html - 1 Kudos
7. for-any-sequence-of-n-consecutive-positive-integers-se-128100.html - Kudos

Statistics and sets
1. each-of-the-30-boxes-in-a-certain-shipment-weighs-either-85074.html - 4 Kudos
2. m-is-a-negative-integer-and-k-is-a-positive-integer-126819.html - 2 Kudos
3. 5-peices-of-wood-have-an-average-length-of-124-inches-and-123513.html - 2 Kudos
4. r-is-a-set-containing-8-different-numbers-s-is-a-set-128119.html - 1 Kudos
5. which-of-the-following-cannot-be-the-median-of-the-2436.html - 1 Kudos
6. if-a-certain-sample-of-data-has-a-mean-of-20-0-and-a-127810.html - 1 Kudos
7. a-b-and-c-are-integers-and-a-b-c-s-is-the-set-of-all-127120.html - 1 Kudos

Word problems
1. a-certain-city-with-a-population-of-132-000-is-to-be-divided-93369.html - 9 Kudos
2. a-certain-city-with-population-of-132-000-is-to-be-divided-76217.html - 6 Kudos
3. one-week-a-certain-truck-rental-lot-had-a-total-of-15505.html - 5 Kudos
4. a-merchant-purchased-a-jacket-for-60-and-then-determined-104375.html - 4 Kudos
5. billy-has-an-unlimited-supply-of-the-following-coins-pennie-122369.html - 4 Kudos
6. in-may-mrs-lee-s-earnings-were-60-percent-of-the-lee-family-94987.html - 3 Kudos
7. if-the-circus-were-to-sell-all-of-its-220-tickets-for-this-58111.html - 2 Kudos

Work/Rate problems
1. a-husband-and-wife-started-painting-their-house-but-husband-77973.html - 9 Kudos
2. a-software-programmer-does-20-of-the-work-110430.html - 7 Kudos
3. working-alone-at-its-own-constant-rate-104981.html - 4 Kudos
4. pumps-a-b-and-c-operate-at-their-respective-constant-rates-91124.html - 4 Kudos
5. t-can-work-alone-and-will-finish-job-in-6-hours-p-j-can-d-118737.html - 3 Kudos
6. six-machines-each-working-at-the-same-constant-rate-93365.html - 2 Kudos
7. in-a-certain-bathtub-both-the-cold-water-and-the-hot-water-127878.html - 1 Kudos

Probability
1. a-certain-junior-class-has-1-000-students-and-a-certain-58914.html - 22 Kudos
2. anthony-and-michael-sit-on-the-six-member-board-of-directors-58887.html - 16
3. the-probability-that-a-visitor-at-the-mall-buys-a-pack-of-85523.html - 13 Kudos
4. a-bag-of-10-marbles-contains-3-red-marbles-and-7-blue-56728.html - 11 Kudos
5. if-there-are-85-students-in-a-statistics-class-and-we-assume-92013.html - 8 Kudos
6. gordon-buys-5-dolls-for-his-5-nieces-the-gifts-include-two-95836.html - 8 Kudos
7. as-part-of-a-game-four-people-each-must-secretly-choose-an-56446.html - 7 Kudos

Some more good discussions