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Updated on: 01 Apr 2024, 07:37
100 Hardest Problem Solving Questions (Mar 1st, 2024 - Apr 1st, 2024)
Updated on: 01 Apr 2024, 07:37
100 Easiest Problem Solving Questions (Mar 1st, 2024 - Apr 1st, 2024)
| Problem Solving (PS) | ||
| Rank | Title | Topics |
| 1 | For which of the following values of n is (100+n)/n NOT an | Difficulty: Sub 505 Level, Arithmetic, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: 1000 Series |
| 2 | The price of a coat in a certain store is $500. If the price of the co | Difficulty: Sub 505 Level, Percent and Interest Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 |
| 3 | During a trip that they took together, Carmen, Juan, Maria, a | Difficulty: Sub 505 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 4 | If (7^(3/4))^n = 7, what is the value of n? | Difficulty: Sub 505 Level, Algebra, Exponents/Powers, Source: Official Guide, Source: OG 10, Source: Quant Review 1st |
| 5 | For which of the following x is |x|+x>0 ? | Difficulty: Sub 505 Level, Absolute Values/Modulus, Inequalities, Source: Math Revolution |
| 6 | On 3 sales John has received commissions of $240, $80, and $110, and | Difficulty: Sub 505 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st |
| 7 | If n is an integer, which of the following must be even? | Difficulty: Sub 505 Level, Must or Could be True Questions, Number Properties, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: 1000 Series |
| 8 | Which of the following is equivalent to the pair of | Difficulty: Sub 505 Level, Inequalities, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 |
| 9 | A bakery opened yesterday with its daily supply of 40 dozen | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: 1000 Series |
| 10 | What is 45 percent of 7/12 of 240 ? | Difficulty: Sub 505 Level, Arithmetic, Percent and Interest Problems, Source: Official Guide, Source: OG 10, Source: 1000 Series |
| 11 | (1/2+1/3)/(1/4) = | Difficulty: Sub 505 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: Quant Review 1st, Source: 1000 Series |
| 12 | Working at a constant rate, a copy machine makes 20 copies of a one-pa | Difficulty: Sub 505 Level, Work/Rate Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019 |
| 13 | If the population of a certain country increases at the rate of one | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: OG 10, Source: 1000 Series |
| 14 | If it is assumed that 60 percent of those who receive a questionnaire | Difficulty: Sub 505 Level, Percent and Interest Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 |
| 15 | If the sum of 5, 8, 12, and 15 is equal to the sum of 3, 4, x, and x + | Difficulty: Sub 505 Level, Algebra, Source: GMAT Prep, Source: Official Guide, Source: EA, Source: OG 12 |
| 16 | The ratio 2 to 1/3 is equal to the ratio | Difficulty: Sub 505 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: 1000 Series |
| 17 | The table shows a summary of the ticket sales from four performances o | Difficulty: Sub 505 Level, Arithmetic, Graphs and Illustrations, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 18 | The sum S of the first n consecutive positive even integers is given | Difficulty: Sub 505 Level, Arithmetic, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019 |
| 19 | If x is an even integer, which of the following is an odd integer? | Difficulty: Sub 505 Level, Number Properties, Source: Official Guide (Pre-2000), Source: OG 1988, Source: 1000 Series |
| 20 | If |A| > 19, which of the following could NOT be equal to A ? | Difficulty: Sub 505 Level, Absolute Values/Modulus, Inequalities, Source: Manhattan GMAT |
| 21 | If x = -1, then -(x^4 + x^3 + x^2 + x) = | Difficulty: Sub 505 Level, Algebra, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st, Source: 1000 Series |
| 22 | If x = -(2 - 5), then x = | Difficulty: Sub 505 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 1st |
| 23 | In the equation above, k is a constant. If y = 17 when x = 2, what is | Difficulty: Sub 505 Level, Algebra, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: 1000 Series |
| 24 | The number 2 - 0.5 is how many times the number 1 - 0.5? | Difficulty: Sub 505 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st, Source: 1000 Series |
| 25 | What number when multiplied by 4/7 yields 6/7 as the result? | Difficulty: Sub 505 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st, Source: 1000 Series |
| 26 | If 2/(1+2/y)=1, then y = | Difficulty: Sub 505 Level, Arithmetic, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10, Source: 1000 Series |
| 27 | If y = 5x^2 - 2x, and x = 3, then y = ? | Difficulty: Sub 505 Level, Arithmetic, Source: 1000 Series |
| 28 | If x + 5y = 16 and x = -3y | Difficulty: Sub 505 Level, Algebra, Source: Official Guide, Source: OG 11, Source: OG 10, Source: 1000 Series |
| 29 | What is the value of x^2yz xyz^2, if x = 2, y = 1, and z = 3? | Difficulty: Sub 505 Level, Algebra, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016 |
| 30 | If n is a prime number greater than 3, what is the remainder when n^2 | Difficulty: Sub 505 Level, Remainders, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: 1000 Series |
| 31 | Each week, a clothing salesperson receives a commission equal | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 32 | In the xy-coordinate plane, if the point (0,2) lies on the graph of th | Difficulty: Sub 505 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 33 | Which of the following is equal to x^18 for all positive values of x ? | Difficulty: Sub 505 Level, Exponents/Powers, Source: GMAT Prep, Source: Official Guide, Source: OG 10, Source: Quant Review 1st |
| 34 | 7/(1/5) + 5/(1/7) = | Difficulty: Sub 505 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 12, Source: OG 11, Source: 1000 Series |
| 35 | If Albert can travel 200 miles in 4 hours, how many hours will it take | Difficulty: Sub 505 Level, Distance/Rate Problems, Source: Princeton Review |
| 36 | Bob drives at an average rate of 50 mph from Berkeley to Los Angeles, | Difficulty: Sub 505 Level, Distance/Rate Problems, Source: Magoosh |
| 37 | In the figure above, the coordinates of point V are | Difficulty: Sub 505 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10, Source: 1000 Series |
| 38 | What is the median of the numbers shown? | Difficulty: Sub 505 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 39 | If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is | Difficulty: Sub 505 Level, Fractions/Ratios/Decimals, Mixture Problems, Source: Official Guide |
| 40 | A souvenir vendor purchased 1,000 shirts for a special event at a pric | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019 |
| 41 | x=(1/4)sv^2 In the formula shown, if x/s = 25 and v > 0, what is the v | Difficulty: Sub 505 Level, Algebra, Source: GMAT Prep |
| 42 | If x is a positive integer and 4^x 3 = y, which of the following CAN | Difficulty: Sub 505 Level, Algebra, Exponents/Powers, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 43 | If m is an integer such that (-2)^2m = 2^{9 - m}, then m= | Difficulty: Sub 505 Level, Exponents/Powers, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st, Source: 1000 Series |
| 44 | 150 is what percent of 30 ? | Difficulty: Sub 505 Level, Percent and Interest Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: 1000 Series |
| 45 | A certain restaurant that regularly advertises through the mail has | Difficulty: Sub 505 Level, Arithmetic, Word Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 46 | Kelly and Chris packed several boxes with books. If Chris packed 60 pe | Difficulty: Sub 505 Level, Fractions/Ratios/Decimals, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 12, Source: OG 11, Source: OG 10, Source: 1000 Series |
| 47 | 1/2/(1/4 + 1/6) = | Difficulty: Sub 505 Level, Arithmetic, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: 1000 Series |
| 48 | If x + y = 7 and x – y = 3, then x^2 - y^2 = | Difficulty: Sub 505 Level, Algebra, Source: Manhattan GMAT |
| 49 | The 180 students in a group are to be seated in rows so that | Difficulty: Sub 505 Level, Divisibility/Multiples/Factors, Source: GMAT Prep, Source: 1000 Series |
| 50 | If x is negative and y is positive, which of the following must be | Difficulty: Sub 505 Level, Number Properties, Source: Princeton Review |
| 51 | Company C produces toy trucks at a cost of $5.00 each for the first 10 | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016 |
| 52 | If x > 0 and x^2 = 161, what is the best whole number approximation of | Difficulty: Sub 505 Level, Inequalities, Source: Official Guide (Pre-2000), Source: OG 1988 |
| 53 | While a family was away on vacation, they paid a neighborhood boy $11 | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 54 | 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = | Difficulty: Sub 505 Level, Arithmetic, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 |
| 55 | A certain machine produces 1,000 units of product P per hour. Working | Difficulty: Sub 505 Level, Work/Rate Problems, Source: GMAT Prep |
| 56 | A retail appliance store priced a video recorder at 20 percent above | Difficulty: Sub 505 Level, Percent and Interest Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 11, Source: 1000 Series |
| 57 | If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0 | Difficulty: Sub 505 Level, Arithmetic, Source: Grockit |
| 58 | If p is an even integer and q is an odd integer, which of the followin | Difficulty: Sub 505 Level, Must or Could be True Questions, Number Properties, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 12, Source: OG 11, Source: OG 10, Source: 1000 Series |
| 59 | Which of the following is equal to 85 percent of 160? | Difficulty: Sub 505 Level, Percent and Interest Problems, Source: Official Guide (Pre-2000), Source: OG 1988, Source: 1000 Series |
| 60 | 0.1 + 0.1^2 + 0.1^3 = | Difficulty: Sub 505 Level, Arithmetic, Exponents/Powers, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 |
| 61 | The average (arithmetic mean) of 6,8, and 10 equals the average | Difficulty: Sub 505 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 11, Source: OG 10, Source: 1000 Series |
| 62 | For which of the following values of s is (50+s)s an integer? | Difficulty: Sub 505 Level, Number Properties, Source: Veritas Prep |
| 63 | |−4|(|−20| − |5|) = | Difficulty: Sub 505 Level, Absolute Values/Modulus, Arithmetic, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019 |
| 64 | If x books cost $5 each and y books cost $8 each, then the average | Difficulty: Sub 505 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: 1000 Series |
| 65 | If the relations shown hold for the operation ⊕ and the numbers m, n, | Difficulty: Sub 505 Level, Functions and Custom Characters, Source: Official Guide, Source: OG 2022, Source: OG 2021 |
| 66 | In the Johnsons' monthly budget, the dollar amounts allocate | Difficulty: Sub 505 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 |
| 67 | If Mario was 32 years old 8 years ago, how old was he x year | Difficulty: Sub 505 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st, Source: 1000 Series |
| 68 | (0.3)^5/(0.3)^3 | Difficulty: Sub 505 Level, Arithmetic, Exponents/Powers, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 12, Source: OG 11, Source: OG 10 |
| 69 | For all real numbers a, b, c, d, e, and f, the operation Θ is defined | Difficulty: Sub 505 Level, Arithmetic, Functions and Custom Characters, Source: Official Guide, Source: OG 2022, Source: OG 2021 |
| 70 | If x/y = 2, then (x-y)/y = | Difficulty: Sub 505 Level, Algebra, Source: Official Guide (Pre-2000), Source: OG 1988 |
| 71 | If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? | Difficulty: Sub 505 Level, Algebra, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 |
| 72 | (2^(1/2) + 1)(2^(1/2) - 1)(3^(1/2) + 1)(3^(1/2) - 1) = | Difficulty: Sub 505 Level, Algebra, Roots, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 11, Source: OG 10, Source: 1000 Series |
| 73 | Which of the following has a value less than 1? | Difficulty: Sub 505 Level, Arithmetic, Source: Official Guide, Source: OG 11 |
| 74 | A certain type of concrete mixture is to be made of cement, sand and g | Difficulty: Sub 505 Level, Fractions/Ratios/Decimals, Min/Max Problems, Mixture Problems, Source: Official Guide (Pre-2000), Source: OG 1988 |
| 75 | The product P of two prime numbers is between 9 and 55. If one of the | Difficulty: Sub 505 Level, Number Properties, Source: GMAT Paper Tests, Source: GMAT Prep |
| 76 | If 3 - x = 2x - 3, then 4x = | Difficulty: Sub 505 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st |
| 77 | 1/(3-1/(3-1/(3-1)))= | Difficulty: Sub 505 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: EA, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd |
| 78 | There is a total of 120 marbles in a box, each of which is red, green, | Difficulty: Sub 505 Level, Probability, Source: GMAT Paper Tests, Source: 1000 Series |
| 79 | If the tick marks on the number line shown are equally spaced, what is | Difficulty: Sub 505 Level, Graphs and Illustrations, Source: GMAT Prep |
| 80 | If -3 is 6 more than x, what is the value of x/3? | Difficulty: Sub 505 Level, Algebra, Source: GMAT Prep, Source: Official Guide, Source: OG 10, Source: Quant Review 1st |
| 81 | The ratio of the length to the width of a rectangular advert | Difficulty: Sub 505 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 |
| 82 | As a salesperson, Phyllis can choose one of two methods of annual paym | Difficulty: Sub 505 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2022, Source: OG 10, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st, Source: 1000 Series |
| 83 | 1/(1+1/3)-1/(1+1/2) | Difficulty: Sub 505 Level, Arithmetic, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: 1000 Series |
| 84 | A fruit-salad mixture consists of apples, peaches, and grape | Difficulty: Sub 505 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10, Source: 1000 Series |
| 85 | At the opening of a trading day at a certain stock exchange, the price | Difficulty: Sub 505 Level, Percent and Interest Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016 |
| 86 | The amounts of time that three secretaries worked on a | Difficulty: Sub 505 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: 1000 Series |
| 87 | If a = 7 and b = -7, what is the value of 2a - 2b + b^2 ? | Difficulty: Sub 505 Level, Algebra, Source: GMAT Prep, Source: OG 10, Source: Quant Review 1st |
| 88 | A student’s average (arithmetic mean) test score on 4 tests is 80. Wh | Difficulty: Sub 505 Level, Arithmetic, Number Properties, Source: OG 12 |
| 89 | The cost of purchasing each box of candy from a certain mail order cat | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021 |
| 90 | If (-5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ? | Difficulty: Sub 505 Level, Exponents/Powers, Source: Grockit |
| 91 | If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4 | Difficulty: Sub 505 Level, Functions and Custom Characters, Source: GMAT Paper Tests, Source: Official Guide, Source: EA, Source: OG 12, Source: 1000 Series |
| 92 | If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y? | Difficulty: Sub 505 Level, Algebra, Source: GMAT Prep, Source: GMAT Prep (Focus), Source: OG 11, Source: OG 10, Source: 1000 Series |
| 93 | In the figure above, the sum of the three numbers in the hor | Difficulty: Sub 505 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st, Source: 1000 Series |
| 94 | A gym class can be divided into 8 teams with an equal number | Difficulty: Sub 505 Level, Divisibility/Multiples/Factors, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: 1000 Series |
| 95 | A committee is composed of w women and m men. If 3 women and | Difficulty: Sub 505 Level, Probability, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10, Source: 1000 Series |
| 96 | Which of the following must be equal to (x^6)(x^4) ? | Difficulty: Sub 505 Level, Exponents/Powers, Source: GMAT Prep |
| 97 | A certain builder is selling five homes for the following | Difficulty: Sub 505 Level, Statistics and Sets Problems, Source: GMAT Prep |
| 98 | If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = | Difficulty: Sub 505 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st, Source: 1000 Series |
| 99 | (1+5^1/2)(1-5^1/2)= | Difficulty: Sub 505 Level, Algebra, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st, Source: 1000 Series |
| 100 | A student's average (arithmetic mean) test score on 4 tests is 78. Wha | Difficulty: Sub 505 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 |
20 May 2016, 01:53
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Hi Generic [Bot],
Here are updates for you:
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