TÀI liỆu thi test AS GMAT2

The right most non-zero digit of 302720 is The average weight of students in a class is 35.If a student whose weight was 25 is absent from the class, the average of those present went up by How many students are there in the class originally 10 11 12 13 What is the minimum number of square marbles required to tile a floor of length metres 78 cm and width metres 74 cm? 176 187 54043 748 249 What is the minimum number of square marbles required to tile a floor of length metres 78 cm and width metres 74 cm? 176 187 54043 748 249 n a football match, the 'golden' team was trailing by goals with minutes remaining.Did the ''golden' team win the match ? (1) Glen, the 'golden' team striker, scored goals in the last 5min of the match (2) Silver team the other team in the match had scored a total of goals in the match when 5min were remaining in the match Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient EACH statement ALONE is sufficient Statements (1) and (2) TOGETHER are NOT sufficient From 7:00 AM to 11:00 AM it rained 2.25 inches At 11:00 AM the rain increased to fall at a rate of 1.25 in every two hours How many inches of rain landed on the ground by 5:00 PM? 9.75 3.25 7.125 2) The owner of a hobby store needed to calculate the percentage of customers who purchase wood glue Upon completing his survey, he noticed that 60% of the people that entered his store purchased an item Of those customers, 15 percent purchased wood glue What percent of the people that entered the store purchased wood glue? 8% 7% 9% 12% 15% 3) If 1/x = 3.5 then 1/(x+2) = 7/9 16/7 7/16 9/7 7/4 4) A store owner is packing small radios into larger boxes that measure 25 in by 42 in by 60 in If the measurement of each radio is in by in by in., then how many radios can be placed in the box? 300 325 400 420 480 5) Frank is 15 years younger than John In years John will be twice as old as Frank How old will Frank be in four years? 10 12 14 16 6) A store owner decided to raise the price of a particular item by exactly 10% Of the following which is NOT the new price? $1.10 $8.80 $11.00 $57.30 $78.10 7) The price of a candy bar is $1.00 The price of a ten pack of the same candy bar is $7.40 The ten pack of candy bars is what percentage cheaper then purchasing ten candy bars individually? 18% 26% 32% 48% The prices are the same 8) In a certain department store, which has four sizes of a specific shirt, there are 1/3 as many small shirts as medium shirts, and 1/2 as many large shirts as small shirts If there are as many x-large shirts as large shirts, what percent of the shirts in the store are medium? 10% 25% 33% 50% 60% 9) A new apartment complex purchased 60 toilets and 20 shower heads If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads? 9% 10% 11% 13% 15% Explanation of Answer: To solve this, you can place values for the toilets and shower heads If you apply $3 for each toilet and $1 for each shower head, your total cost will be $200 Of this, $20 or 10% is spent on shower heads 10) A car averages 55 mph for the first hours of a trip and averages 70 mph for each additional hour The average speed for the entire trip was 60 mph How many hours long is the trip? 11 12 14 Explanation of Answer: Start with the equation (55(4) + 70x) / 4+x = 60 = (220 + 70x) / 4+x = 60 Multiply both sides by 4+x 220 + 70x = 240 + 60x Which gives you 10x = 20, so x = Add this to the hours and you have 11) In 1991, was the number of people in City A three times greater then the number of people in City B? 1) In 1991, there were approximately 1.1 million more people in City A than in City B 2) In 1991, the 300,000 Catholics in City A made up 20% of its population, and the 141,000 Buddhists in City B made up 30% of its population if statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question if statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question if BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient if EACH statement ALONE is sufficient to answer the question asked if statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed 12) (165)2 - (164)2 = 100 229 329 349 13) If the ticket sales s for a company increases 25% from standard sales to 60 tickets sold, then 60 - s =: 12 18 30 48 Explanation of Answer: You know that sales s * 1.25 = 60 Therefore s = 60 / 1.25 or s = 48 60 - 48 = 12 14) All of the tickets for music concerts, X and Y, were either purchased or given away, and the ratio of X tickets to Y was to Of the total number of X tickets and Y tickets, what percentage was purchased? 1) The total number of X tickets and Y tickets, is 240 2) Of the X tickets, exactly 60% were purchased, and of the Y tickets, exactly 80% were purchased if statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question if statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question if BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient if EACH statement ALONE is sufficient to answer the question asked if statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed If a and b are positive integers, is a + 4b odd? 15) 1) b is even 2) a is odd if statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question if statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question if BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient if EACH statement ALONE is sufficient to answer the question asked if statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed 16) If q is a multiple of prime numbers, is q a multiple of r? 1) r < 2) q = 18 if statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question if statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question if BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient if EACH statement ALONE is sufficient to answer the question asked if statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed 17) How many integers between 100 and 150, inclusive, cannot be evenly divided by nor 5? 35 27 25 26 28 Explanation of Answer: The numbers that are divisible by or between 100 and 150 inclusive are: 100, 102, 105, 108, 110, 111, 114, 115, 117, 120, 123, 125, 126, 129, 130, 132, 135, 138, 140, 141, 144, 145, 147 and 150 These are 24 The total numbers between 100 and 150 (inclusive) is 51 Thus, the answer is 51 - 24 which is 27 18) Susan wants to put up fencing around three sides of her rectangular yard and leave a side of 20 feet unfenced If the yard has an area of 680 square feet, how many feet of fencing does she need? 38 44 72 88 97 Explanation of Answer: The area of the yard is 20w= 680 square feet, so w = 680/ 20 = 34 feet The length of the fencing needed is 34+20+34=88 feet 19) Which of the following equations has a root in common with x2 - 6x + = 0? x2 + = x2 - x - = 2x2 - = x2 - 2x - = x2 - 10x - = 20) A computer store regularly sells all stock at a discount of 20 percent to 40 percent If an additional 25 percent were deducted from the discount price during a special sale, what would be the lowest possible price of a part costing $16 before any discount? $6.80 $7.20 $9.60 $11.30 $14.80 Explanation of Answer: The lowest possible price is paid when the maximum discount is received, so the lowest possible regular price is $16 - 0.40($16) = $9.60 With an additional 25 percent discount, the lowest possible price is $9.60 - 0.25($9.60) = $7.20 The best answer is the second one Alternatively, the lowest possible price to be paid for the item can be calculated by realizing that if you are being given a discount of 40 percent you are paying 60 percent of the listed price of the item If an additional 25 percent discount is offered on the item, the price of the item becomes (0.75)(0.60)($16) = $7.20 21) If "basis points" are defined so that percent is equal to 100 basis points, then 75.5 percent is how many basis points greater than 65.5 percent? 01 .10 10 100 1000 Explanation of Answer: There is a difference of 10 percent between 75.5 percent and 65.5 percent If percent equals 100 basis points, then 10 percent equals 10(100) or 1,000 basis points 22) If x + 8y = 20 and x = -3y, then y = Explanation of Answer: Substitution of the second equation into the first equation yields (-3y) + 8y = 20 5y = 20 y=4 23) If 2x + y = 10 and x = 3, what is x - y -3 -1 Explanation of Answer: Since x = 3, 2x + y = so + y = 10 resulting in y = Therefore x - y = - = (-1) 24) If a triangle has a base B and the altitude of the triangle is twice the base, then the area of the triangle is 5AB AB 5AB2 B2 2B2 Explanation of Answer: The area of a triangle is the base times the altitude The altitude is 2B so the area is B2 25) If y/x = 1/3 and x + 2y = 10, then x is Explanation of Answer: Since y/x = 1/3, cross multiply to obtain x = 3y Substitute x = 3y into x + 2y = 10 to get 3y + 2y = 5y = 10 Therefore y =2 and x = 26) The sum of consecutive integers is 35 How many of the five consecutive integers are prime numbers? Explanation of Answer: The "middle number" should be near because 35/5 = Since + + + + = 35, and are prime numbers You may think this is a trick question, but it can appear on the exam 27) Which of the following inequalities is the solution to the inequality 7x - < 2x + 18? x < 13/5 x > 23/9 x < 23/9 x > 23/5 x < 23/5 Explanation of Answer: Use the properties of inequalities to solve the given inequality Subtract 2x from each side to get 5x - < 18 Next add to each side to obtain 5x < 23 Finally divide each side by to get x < 23/5 28) Apples cost $x a bag for the first 100 bags a store buys from a wholesaler All bags bought in addition to the first 100 get a discount of 10% How much does it cost to buy 150 bags of apples from the wholesaler? $100 $140x $145x $150x $100x + $50 Explanation of Answer: Since the first 100 bags cost $x each, the total cost of the first 100 bags is $100x Since the remaining 50 bags are discounted 10%, each bag costs 90% of $x or $(.90)x and the 50 bags cost $45x The total cost is $145x 29) If the product of two numbers is 10 and the sum of the two numbers is 7, then the larger of the two numbers is -2 30) John weighs twice as much as Susan Susan's weight is 60% of Sam's weight Mark weighs 50% of Lynn's weight Lynn weighs 190% of John's weight Which of these people weighs the least? John Susan Sam Mark Lynn Explanation of Answer: John weighs twice as much as Susan, so John cannot weigh the least Susan's weight is less than Sam's, so Sam's weight is not the least Mark's weight is 1/2 of Lynn's weight so Lynn can't weigh the least The only possible answers are Susan or Mark Let J, S, Sa, M, L stand for the weights M = 5L = 5(1.9)J So M = 95J Since J = 2S, we know S = 5J, therefore Susan weighs the least 31) ABCD has an area equal to 28 BC is parallel to AD BA is perpendicular to AD IF BC is andAD is 8, then what is CD? 2√ 2√ 2√ 32) This book has been laying here for weeks laying here for weeks laying here weeks laying down here for weeks lieing here for weeks lying here for weeks 33) You need not go unless you want to You need not go unless you want to You don't need to go not unless you want to You need go not unless you want to You need not go in case unless you want to You can go not unless you want to  ... twice as much as Susan, so John cannot weigh the least Susan's weight is less than Sam's, so Sam's weight is not the least Mark's weight is 1/2 of Lynn's weight so Lynn can't weigh the least The... there are 1/3 as many small shirts as medium shirts, and 1/2 as many large shirts as small shirts If there are as many x-large shirts as large shirts, what percent of the shirts in the store are... concerts, X and Y, were either purchased or given away, and the ratio of X tickets to Y was to Of the total number of X tickets and Y tickets, what percentage was purchased? 1) The total number of X