{
  "0#1"    => {
                Category => "PS",
                OA       => "D",
                Question => "A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 3, what is the smallest possible total number of tokens in the jar?\n\n(A) 9 \n(B) 12 \n(C) 15 \n(D) 18 \n(E) 21",
                Remark   => "Realize the concept: \n! There is a jar with red,white and blue balls\n1. When pA*pB = pC happening, would mean the jar- has fewer C balls than A or B",
                Topic    => "Combinations",
                TRIAL_1  => { Ans => "C", Time => 171 },
                TRIAL_2  => { Ans => "D", Correct => "Yes", Time => 130 },
                TRIAL_3  => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 105 },
                TRIAL_4  => { Ans => "D", ClockTime => "Fri, 12/Apr/2013", Correct => "Yes", Time => 349 },
              },
  "0#2"    => {
                Category => "PS",
                OA       => "E",
                Question => "",
                Remark   => "Co-ordinate geometry problems, with counting problems, donot have an easy backward approach. Be systmatic, and approach the problem with TD, BU approach. \nAnother take away is to quickly draw boundaries.",
                Topic    => "Combinations",
                TRIAL_1  => { Ans => "A", Time => 335 },
                TRIAL_2  => { Ans => "E", Time => 335 },
                TRIAL_3  => { Ans => "A", Time => 335 },
                TRIAL_4  => { Ans => "A", Correct => "No", Time => 147 },
                TRIAL_5  => { Ans => "E", Correct => "Yes", Time => 37 },
                TRIAL_6  => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "No", Time => 297 },
                TRIAL_7  => { Ans => "E", ClockTime => "Fri, 12/Apr/2013", Correct => "Yes", Time => 366 },
              },
  "0#3"    => {
                Category => "PS",
                OA       => "B",
                Question => "",
                Remark   => "This is a typical problem, with many visualizations. Always ** Always there is a way to cut triangles in a GMAT  problem to a 30-60-90/45-45-90 or 120-30-30 triangle. Always !!",
                Topic    => "Coordinate Geometry",
                TRIAL_1  => { Ans => "E", Time => 524 },
                TRIAL_2  => { Ans => "C", Correct => "No", Time => 177 },
                TRIAL_3  => { Ans => "B", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 196 },
                TRIAL_4  => { Ans => "E", ClockTime => "Fri, 12/Apr/2013", Correct => "No", Time => 261 },
              },
  "0#4"    => {
                Category => "PS",
                OA       => "E",
                Question => "What should the next number in this sequence be?\n\n1 2 9 64 ___",
                Remark   => "Ans: 125",
                Topic    => "Number Properties",
                TRIAL_1  => { Ans => "E", Time => 123 },
                TRIAL_2  => { Ans => "E", Time => 123 },
                TRIAL_3  => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 5 },
              },
  "1#1"    => {
                Category => "PS",
                OA       => "C",
                Question => "x = 9^10 \x{2013} 3^17 and x/n is an integer. If n is a positive integer that has exactly two factors, how many different values for n are possible?\n\n(A) One \n(B) Two \n(C) Three \n(D) Four \n(E) Five",
                Remark   => "My Polya Question & Answers:\n1. What is the wuestion asking - \n\tvalues for n\n2. What are quantities i care abt -\n\tx & n\n3. What do i now \n\tx = 3^17 * 13 * 2\n\tn is a factor of x\n\tn is a prime no.\n4. What i dont know/dont care\n\twhat is 3^17 * 13 * 2 = ?\n5. What is the principle gmat is testing: \n\tprobably prime factorization & divisibility.\n\n= the boundaries for n then are, \nn is a prime no, and a factor of x, so I need to know the prime factors of x- \n\twhich are 2, 3 & 13.. \nNot the negatives ones as n is +ve integer",
                Topic    => "Divisibility/Multiples/Factors",
                TRIAL_1  => { Ans => "B", Time => 205 },
                TRIAL_2  => { Ans => "D", Time => 205 },
                TRIAL_3  => { Ans => "C", Correct => "Yes", Time => 205 },
                TRIAL_4  => { Ans => "C", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 136 },
                TRIAL_5  => { Ans => "C", ClockTime => "Fri, 12/Apr/2013", Correct => "Yes", Time => 129 },
              },
  "1#2"    => {
                Category => "PS",
                OA       => "C",
                Question => "",
                Remark   => "-- MGMAT IS SO RIGHT, when we stay organized, we reach the answer quicker",
                Topic    => "Divisibility/Multiples/Factors",
                TRIAL_1  => { Ans => "C", Correct => "Yes", Time => 310 },
                TRIAL_2  => { Ans => "C", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 123 },
                TRIAL_3  => { Ans => "C", ClockTime => "Sat, 5/Jan/2013", Correct => "Yes", Time => 130 },
                TRIAL_4  => { Ans => "B", ClockTime => "Fri, 12/Apr/2013", Time => 168 },
                TRIAL_5  => { Ans => "C", ClockTime => "Fri, 12/Apr/2013", Correct => "Yes", Time => 168 },
              },
  "1#3"    => {
                Category => "PS",
                OA       => "B",
                Question => "",
                Remark   => "-- Need to be flexible, had worked out the 6-8-10 traingle bit, but kept working at a the wrong side of the graph",
                Topic    => "Divisibility/Multiples/Factors",
                TRIAL_1  => { Ans => "D", Time => 223 },
                TRIAL_2  => { Ans => "B", Correct => "Yes", Time => 223 },
                TRIAL_3  => { Ans => "B", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 200 },
                TRIAL_4  => { Ans => "D", ClockTime => "Fri, 12/Apr/2013", Correct => "No", Time => 162 },
              },
  "1#4"    => {
                Category => "PS",
                OA       => "D",
                Question => "",
                Remark   => "Syst.. Tables. help solve such questions.",
                Topic    => "Divisibility/Multiples/Factors",
                TRIAL_1  => { Ans => "E", Correct => "No", Time => 517 },
                TRIAL_2  => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 154 },
                TRIAL_3  => { Ans => "D", ClockTime => "Sat, 5/Jan/2013", Correct => "Yes", Time => 139 },
                TRIAL_4  => { Ans => "D", ClockTime => "Fri, 12/Apr/2013", Correct => "Yes", Time => 168 },
              },
  "1PS#1"  => {
                Category => "PS",
                OA       => "C",
                Question => "1. Each factor of 210 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?\n\n(A) 1/16 \n(B) 5/42 \n(C) 1/8 \n(D) 3/16 \n(E) 1/4",
                Remark   => "",
                Topic    => "Probability",
                TRIAL_1  => { Ans => "C", Correct => "Yes", Time => 120 },
                TRIAL_2  => { Ans => "C", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 92 },
                TRIAL_3  => { Ans => "C", ClockTime => "Fri, 12/Apr/2013", Correct => "Yes", Time => 87 },
              },
  "1PS#2"  => {
                Category => "PS",
                OA       => "A",
                Question => "2. If x is a positive integer, what is the units digit of \n(24)^5 + 2x  (36)^6  (17)^3?\n\n(A) 2\n(B) 3\n(C) 4\n(D) 6\n(E) 8",
                Remark   => "KeyNote: \nCyclicity of 4, is 4 for odd no, and 6 for even. Remember!!",
                Topic    => "Number Properties",
                TRIAL_1  => { Ans => "A", Correct => "No", Time => 90 },
                TRIAL_2  => { Ans => "A", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 76 },
                TRIAL_3  => { Ans => "A", ClockTime => "Fri, 12/Apr/2013", Correct => "Yes", Time => 49 },
              },
  "1PS#3"  => {
                Category => "PS",
                OA       => "E",
                Question => "3. A baker makes a combination of chocolate chip cookies and peanut butter cookies for a school bake sale. His recipes only allow him to make chocolate chip cookies in batches of 7, and peanut butter cookies in batches of 6. If he makes exactly 95 cookies for the bake sale, what is the minimum number of chocolate chip cookies that he makes?\n\n(A) 7\n(B) 14\n(C) 21\n(D) 28\n(E) 35",
                Remark   => "Problems with tabular deduction of 2 variable - single linear equation is bit faster.. But not most efficient for u..\nIn this question:\nwhile calculating multiples of 7 and finding 95-7Bcchip.\nwe could have worked on even -odd to minimize calc.\nIf we see 95 => odd\n\tand 7Bcchip will be odd for odd multiples of Bcchip. and odd - odd = even. Since we need divisibility by 6(or by 2) wee need only check the odd multiples of Bcchip",
                Topic    => "Word Problems",
                TRIAL_1  => { Ans => "E", Correct => "Yes", Time => 190 },
                TRIAL_2  => { Ans => "B", ClockTime => "Fri, 4/Jan/2013", Correct => "No", Time => 116 },
                TRIAL_3  => { Ans => "A", ClockTime => "Fri, 12/Apr/2013", Time => 137 },
                TRIAL_4  => { Ans => "E", ClockTime => "Fri, 12/Apr/2013", Correct => "Yes", Time => 137 },
              },
  "1PS#4"  => {
                Category => "PS",
                OA       => "E",
                Question => "4. A rectangular solid is changed such that the width and length are increased by 1 inch apiece and the height is decreased by 9 inches. Despite these changes, the new rectangular solid has the same volume as the original rectangular solid. If the width and length of the original rectangular solid are equal and the height of the new rectangular solid is 4 times the width of the original rectangular solid, what is the volume of the rectangular solid?\n\n(A) 18 \n(B) 50 \n(C) 100 \n(D) 200 \n(E) 400",
                Remark   => "",
                Topic    => "Word Problems",
                TRIAL_1  => { Ans => "E", Correct => "Yes", Time => 148 },
                TRIAL_2  => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "No", Time => 172 },
                TRIAL_3  => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 179 },
                TRIAL_4  => { Ans => "E", ClockTime => "Fri, 12/Apr/2013", Correct => "Yes", Time => 226 },
              },
  "1PS#5"  => {
                Category => "PS",
                OA       => "D",
                Question => "5. The sum of all solutions for x in the equation \nx^2 \x{2013} 8x + 21 = |x \x{2013} 4|+ 5 is equal to:\n(A) \x{2013}7\n(B) 7\n(C) 10\n(D) 12\n(E) 14",
                Remark   => "Applied KPT theorm. \nWorked this time.\n\n\nTrial On 14/4/13 -- \nThe mistake was that I ignored the basic rule of solvic equations ----- NEVER CANCEL!!!",
                Topic    => "Absolute Values/Modules",
                TRIAL_1  => { Ans => "B", Correct => "No", Time => 223 },
                TRIAL_2  => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 169 },
                TRIAL_3  => { Ans => "B", ClockTime => "Fri, 12/Apr/2013", Correct => "No", Time => 168 },
              },
  "2#1"    => {
                Category => "PS",
                OA => "C",
                Question => "The integer k is positive but less than 400. If 21k is a multiple of 180, how many unique prime factors does k have?\n\n(A) One \n(B) Two \n(C) Three \n(D) Four \n(E) Five",
                Remark => "",
                Topic => "Probability",
                TRIAL_1 => { Ans => "C", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 151 },
              },
  "2#10"   => {
                Category => "PS",
                OA => "D",
                Question => "Trains A and B start simultaneously from stations 300 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 50 miles per hour and 40 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?\n\n(A) 112 (B) 133 (C) 150 (D) 167 (E) 188",
                Remark => "We could have added speed,and then calculated for that much time..\nSame principal",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 118 },
              },
  "2#11"   => {
                Category => "PS",
                OA => "C",
                Question => "If x[] y is defined to equal x^2/y for all x and y,then(\x{2013}1[]2)[]3=\n\n(A) 4/3 (B) 1/3 (C) 1/12 (D)\x{2013}1/12 (E) \x{2013}4/3",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "C", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 74 },
              },
  "2#12"   => {
                Category => "PS",
                OA => "A",
                Question => "Refer Book..",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "No", Time => 322 },
              },
  "2#2"    => {
                Category => "PS",
                OA => 80,
                Question => "A certain college party is attended by both male and female students. The ratio of male to female students is 3 to 5. If 5 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?\n\n(A) 24\n(B) 30\n(C) 48\n(D) 64\n(E) 80",
                Remark => "",
                Topic => "Fractions/Ratios/Decimals",
                TRIAL_1 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "No", Time => 49 },
              },
  "2#3"    => {
                Category => "PS",
                OA => "D",
                Question => "",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 55 },
              },
  "2#4"    => {
                Category => "PS",
                OA => "A",
                Question => "What is 35% of 4/13 of 520?\n(A) 56 \n(B) 84 \n(C) 160 \n(D) 182 \n(E) 250",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "A", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 109 },
              },
  "2#5"    => {
                Category => "PS",
                OA => "E",
                Question => "",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 77 },
              },
  "2#6"    => {
                Category => "PS",
                OA => "A",
                Question => "3.507\n\t------ = ?\n\t10.02\n\n\n(A) 0.35 (B) 0.3505 (C) 0.3509 (D) 0.351 (E) 0.3527",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "B", ClockTime => "Fri, 4/Jan/2013", Correct => "No", Time => 37 },
              },
  "2#7"    => {
                Category => "PS",
                OA => "D",
                Question => "What is the value of\n          81,918\n        ----------\n        10^5 - 10^2\t\t\n\n(A) 8.19 (B) 8.02 (C) 0.89 (D) 0.82 (E) 0.81",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 78 },
              },
  "2#8"    => {
                Category => "PS",
                OA => "D",
                Question => "A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to earn the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?\n\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 108 },
              },
  "2#9"    => {
                Category => "PS",
                OA => "E",
                Question => "At a certain high school, the junior class is twice the size of the senior class. If 1/3 of the seniors and 1/4 of the juniors study Japanese, what fraction of the students in both classes do not study Japanese?\n\n(A) 1/6 (B) 5/18 (C) 5/12 (D) 7/12 (E) 13/18",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 218 },
              },
  "2PS#1"  => {
                Category => "PS",
                OA => "E",
                Question => "1. To become a certified lifeguard, lifeguard trainees must take and pass a test. If 1/3 of lifeguard trainees do not take the test, and 1/4 of those who take the test fail, what fraction of the trainees will become certified lifeguards? (Compute an answer.)\n\n\nAs",
                Remark => "Ans: 1/2",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 18 },
              },
  "2PS#10" => {
                Category => "PS",
                OA => "A",
                Question => "If 3^x +3^x +3^x =1,what is x?\n\n (A) \x{2013}1(B) \x{2013}1/3(C) 0(D) 1/3(E) 1",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "A", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 28 },
              },
  "2PS#11" => {
                Category => "PS",
                OA => "B",
                Question => "12.  -(9)(0.25) - (1.5)(1.5)\n   ---------------------------\n               25\n\n\n(A) \x{2013}1.8 (B) \x{2013}0.18 (C) 0 (D) 0.18 (E) 1.8",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "B", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 1 },
                TRIAL_2 => { Ans => "B", ClockTime => "Fri, 4/Jan/2013", Time => 73 },
              },
  "2PS#12" => {
                Category => "PS",
                OA => "B",
                Question => "12.  -(9)(0.25) - (1.5)(1.5)\n   ---------------------------\n               25\n\n\n(A) \x{2013}1.8 (B) \x{2013}0.18 (C) 0 (D) 0.18 (E) 1.8",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "B", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 73 },
              },
  "2PS#13" => {
                Category => "PS",
                OA       => "E",
                Question => "<<refer book>>",
                Remark   => "Ans: 1/2",
                Topic    => "Algebra",
                TRIAL_1  => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 2 },
                TRIAL_2  => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Time => 13 },
                TRIAL_3  => { Ans => "B", ClockTime => "Fri, 4/Jan/2013", Correct => "No", Time => 107 },
              },
  "2PS#14" => {
                Category => "PS",
                OA => "C",
                Question => "14. If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 4 years from now?\n\n(A)3G + 3(B) 3G + 28 (C) 3G \x{2013} 12 (D) 8 \x{2013} G (E) 14 -3G\n   ---                                             ---\n    2                                               2",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "C", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 57 },
              },
  "2PS#2"  => {
                Category => "PS",
                OA => "E",
                Question => "<refer book>",
                Remark => "",
                Topic => "Geometry",
                TRIAL_1 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Time => 44 },
                TRIAL_2 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 44 },
              },
  "2PS#3"  => {
                Category => "PS",
                OA => "E",
                Question => "3. If (x + 3)^2 = 225, which of the following could be the value of x \x{2013} 1? \n\n(A) 13 (B) 12 (C) \x{2013}12 (D) \x{2013}16 (E) \x{2013}19",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "A", ClockTime => "Fri, 4/Jan/2013", Time => 116 },
                TRIAL_2 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 116 },
              },
  "2PS#4"  => {
                Category => "PS",
                OA => "D",
                Question => "If |x^2 \x{2013}6| = x, which of the following could be the value of x? \n\n(A) \x{2013}2(B) 0(C) 1(D) 3(E) 5",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 199 },
              },
  "2PS#5"  => {
                Category => "PS",
                OA => "B",
                Question => "5.  __________________\n   / 64.59 * 15.04\n  / ---------------\n\\/  13.04 * 2.98\nis approximately equal to ?\n\n(A) 4(B) 5(C) 6(D) 7(E) 8",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "B", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 71 },
              },
  "2PS#6"  => {
                Category => "PS",
                OA => "A",
                Question => "6.   1.206\n    --------\n     2.010\n\n(A) 0.6 (B) 0.603 (C) 0.606 (D) 0.615 (E) 0.66",
                Remark => "Could not divide by 5.. wtf!!!",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "A", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 228 },
              },
  "2PS#7"  => {
                Category => "PS",
                OA => "E",
                Question => "7. Last year, a magazine charged a \$50 subscription fee. This year, the price will be increased by \$10. If the magazine could lose 4 subscribers this year and still collect the same revenue as it did last year, how many subscribers did the magazine have last year?\n\n(A) 20(B) 21(C) 22(D) 23(E) 24",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 131 },
              },
  "2PS#8"  => {
                Category => "PS",
                OA => "D",
                Question => "8. If    3\n      -------   = 1  , then m must equal\n      m+1  + 1     \n     -----\n      m\n\n\n\n\n(A) \x{2013}2(B) \x{2013}1(C) 0(D) 1(E) 2",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "D", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 29 },
              },
  "2PS#9"  => {
                Category => "PS",
                OA => "E",
                Question => "8. Simplify |   35^3  |\n            |------- -|    \n            |   72    | \n          ---------------\n            |   7!    | ^3\n            |---------|\n            |  3!4!   |",
                Remark => "Ans 1/72",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "E", ClockTime => "Fri, 4/Jan/2013", Correct => "Yes", Time => 52 },
              },
  "3#1"    => {
                Category => "DS",
                OA => "B",
                Question => "If x and y are integers and 4xy = x^2y + 4y, what is the value of xy? \n\n(1) y\x{2013}x = 2\n(2) x3 < 0",
                Remark => "",
                Topic => "Arithmetic",
                TRIAL_1 => { Ans => "C", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 157 },
                TRIAL_2 => { Ans => "B", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 78 },
              },
  "3#2"    => {
                Category => "DS",
                OA => "A",
                Question => "Is the integer n odd?\n\n(1) n^2 \x{2013} 2n is not a multiple of 4.\n(2) n is a multiple of 3.",
                Remark => "",
                Topic => "Arithmetic",
                TRIAL_1 => { Ans => "C", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 137 },
                TRIAL_2 => { Ans => "A", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 85 },
              },
  "3#4"    => {
                Category => "DS",
                OA       => "D",
                Question => "Is x = 1?\n(1) x^2 = 1/x^2\n(2) x^2 = 1/x",
                Remark   => "",
                Topic    => "Arithmetic",
                TRIAL_1  => { Ans => "E", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 133 },
                TRIAL_2  => { Ans => "B", ClockTime => "Sun, 6/Jan/2013", Time => 55 },
                TRIAL_3  => { Ans => "B", ClockTime => "Sun, 6/Jan/2013", Time => 55 },
                TRIAL_4  => { Ans => "B", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 55 },
              },
  "3#5"    => {
                Category => "DS",
                OA => "C",
                Question => "If x =\x{338} 0, is xy > 0? \n(1) x > 0 \n(2) 1/x < y",
                Remark => "If we contradict Statement (1) to consider the possibility that x is negative, we would realize that it is necessary to flip the sign of the inequality when we cross multiply. That is, if x < 0\n0, then 1/x < y  means that 1 > xy, and the answer to the question is MAYBE.",
                Topic => "Arithmetic",
                TRIAL_1 => { Ans => "B", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 94 },
                TRIAL_2 => { Ans => "C", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 127 },
              },
  "3#6"    => {
                Category => "DS",
                OA => "A",
                Question => "Is z an even integer?\n(1) z/2 is an even integer.\n(2) 3z is an even integer.",
                Remark => "",
                Topic => "Arithmetic",
                TRIAL_1 => { Ans => "A", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 100 },
              },
  "3PS#1"  => {
                Category => "DS",
                OA => "A",
                Question => "",
                Remark => "",
                Topic => "Overlapping Sets",
                TRIAL_1 => { Ans => "A", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 117 },
              },
  "3PS#2"  => {
                Category => "DS",
                OA => "B",
                Question => "",
                Remark => "Should have listed down all the factors of 80",
                Topic => "Remainders",
                TRIAL_1 => { Ans => "B", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 170 },
              },
  "3PS#3"  => {
                Category => "DS",
                OA => "D",
                Question => "3. If a, b, c, d, and e are positive integers such that a * 10^d\n                                                        -------- = c*10^4\n                                                        b * 10^e     \n is (bc)/a an integer?\n\n(1) d \x{2013} e \x{2265} 4 \n(2) d \x{2013} e > 4",
                Remark => "",
                Topic => "Arithmetic",
                TRIAL_1 => { Ans => "D", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 138 },
              },
  "3PS#4"  => {
                Category => "DS",
                OA => "A",
                Question => "4. If n is a positive integer, is n \x{2013} 1 divisible by 3? \n\n(1) n^2 + n is not divisible by 6.\n(2) 3n = k + 3, where k is a positive multiple of 3.",
                Remark => "Got stuck with consectuve multiples are always divisble by 3, \nRemb! thats three multiples.. \nn(n+1)(n+2)\n\n\n1. n^2+n =/ 6I\nn(n+1) =/ 6I\nSo n has to be a non multiple of 3, otherwise it will be always be divisible by 6.\n\nSo n can be restricted to .. \n1,2,4,5,7,8,10 ...\nHowever if n = 2,8,32 then above is divisble by 6 (odd powers of 2) so leave them out..\n\nNotice all other no, will leave a remainder 1 when divided by 3\nSo Sufficient..",
                Topic => "Remainders",
                TRIAL_1 => { Ans => "E", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 263 },
              },
  "3PS#5"  => {
                Category => "DS",
                OA => "C",
                Question => "5. If a, b, and c are each integers greater than 1, is the product abc divisible by 6?\n\n(1) The product ab is even.\n(2) The product bc is divisible by 3.",
                Remark => "",
                Topic => "Remainders",
                TRIAL_1 => { Ans => "C", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 83 },
              },
  "3PS#7"  => {
                Category => "DS",
                OA => "C",
                Question => "7. Is m =\x{338} 0, is m^3 > m^2? \n(1) m > 0\n(2) m^2 > m",
                Remark => "remb: m^3 > m^2 only when m> 1",
                Topic => "Remainders",
                TRIAL_1 => { Ans => "A", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 78 },
              },
  "3PS#8"  => {
                Category => "DS",
                OA => "C",
                Question => "8. If yz =\x{338} 0, is 0 < y < 1?\n(1) y < 1/y (2) y = z^2",
                Remark => "",
                Topic => "Arithmetic",
                TRIAL_1 => { Ans => "A", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 97 },
              },
  "3PS#9"  => {
                Category => "DS",
                OA => "C",
                Question => "If x and y are positive integers, is y odd?\n(1) (y+2)!/x! is an odd integer. \n(2) (y+2)!/x! is greater than 2.",
                Remark => "",
                Topic => "Arithmetic",
                TRIAL_1 => { Ans => "A", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 130 },
              },
  "4#1"    => {
                Category => "PS",
                OA => "C",
                Question => "What is the value of ab? \n(1) a = b + 1\n(2) a^2 = b + 1",
                Remark => "Not going all the way..",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "E", ClockTime => "Sun, 6/Jan/2013", Time => 96 },
                TRIAL_2 => { Ans => "C", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 96 },
              },
  "4#2"    => {
                Category => "PS",
                OA => "A",
                Question => "A store sells two types of birdfeeder: Alphas and Bravos. Alphas feed one bird at a time, whereas Bravos feed two birds at a time. The total number of birds that can be fed at one time by birdfeeders sold last month is 50. What is the total revenue generated by birdfeeders sold last month?\r\n\n(1) Last month, the price of each Alpha was \$15, and the price of each Bravo was \$30. \n(2) 40 Alphas were sold last month.",
                Remark => "Tricky problems.. \nSolve 15a+30b = 15(a+2b)\n\ta+2b = 50\nSo 1 was suff.",
                Topic => "Word Problems",
                TRIAL_1 => { Ans => "C", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 115 },
              },
  "4#3"    => {
                Category => "PS",
                OA => "D",
                Question => "3. If 8x > 3x + 4x, what is the value of the integer x?\n(1) 6 \x{2013} 4x > \x{2013}2\n(2) 3 \x{2013} 2x \x{2264} 4 \x{2013} x \x{2264} 5 \x{2013} 2x",
                Remark => "",
                Topic => "Word Problems",
                TRIAL_1 => { Ans => "D", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 143 },
              },
  "4#4"    => {
                Category => "PS",
                OA => "C",
                Question => "4. If the three-digit integer x = \x{201C}abc \x{201D}, where a, b, and c represent nonzero digits of x, what is the value of x ?\n\n(1) a \x{2265} 3b \n(2) b \x{2265} 3c",
                Remark => "",
                Topic => "Word Problems",
                TRIAL_1 => { Ans => "C", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 109 },
              },
  "4#5"    => {
                Category => "PS",
                OA => "E",
                Question => "5. Is m > n? \n(1) n /m < 1\n(2) n > 0",
                Remark => "",
                Topic => "Word Problems",
                TRIAL_1 => { Ans => "E", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 110 },
              },
  "4#7"    => {
                Category => "PS",
                OA => "E",
                Question => "If a , b , and c are integers, is abc divisible by 4? \n(1) a + b + 2c is even.\n(2) a + 2b + c is odd.",
                Remark => "",
                Topic => "Remainders",
                TRIAL_1 => { Ans => "E", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 150 },
              },
  "4#8"    => {
                Category => "PS",
                OA => "D",
                Question => "If |x| = |2y| , what is the value of x \x{2013} 2y? \n(1) x + 2y = 6\n(2) xy>0",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "D", ClockTime => "Sun, 6/Jan/2013", Correct => "Yes", Time => 163 },
              },
  "4#9"    => {
                Category => "PS",
                OA => "A",
                Question => "If a =\x{338} 0 is 1      a\n            --- > ------   ?\n             a     b^4+3 \n\n\n(1) a = b^2\n(2) a^2 = b^4",
                Remark => "",
                Topic => "Algebra",
                TRIAL_1 => { Ans => "E", ClockTime => "Sun, 6/Jan/2013", Correct => "No", Time => 130 },
              },
}