The official guide for GMAT review, 13th edition 1

MORE THAN QQ:1014347461 MILLION COPIES SOLD WORLDWIDE mm th EDITION I F*,-^ The only study guide by the creators of the test £s-.$£j More than 900 questions from ® past GMAT exams NEW! Companion website includes 50 Integrated Reasoning questions *'rftft3i&«* Diagnostic section helps you assess where to focus your test-prep efforts ,-T** _ /4x7l0^ = 2x10"' Arithmetic; Algebra Interpretation of graphs; = 0.2 Second-degree equations Since the graph is symmetric with respect to The correct answer is E x = 2, the y value when x = 3will be the same as the v value when x = l, which is 10 The correct answer is E Raffle tickets numbered consecutively from 101 through 350 are placed in a box What is the probability that a ticket selected at random will have a number with a hundreds digit of ? When tq percent of 5,000 is subtracted from j^ of (A) 5,000, the difference is (A) (B) (B) 50 (C) 450 (D) 495 (E) 500 (0 33 83 (D) 99 250 (E) 100 249 Arithmetic Percents Since — percent is —-—, the difference asked 10 y 1,000 foti8(i)(5(000)-(I^)(5)000)= There are 250 integers from 101 to 350 inclusive, 100of which (that is, 200 through 299) have a hundreds digit of2 Therefore, the probability 500-5 = 495 that a ticket selected from the box at random The correct answer is D 190 Arithmetic Probability 5.5 Problem Solving Answer Explanations QQ:1014347461 will have a hundreds digit of can be expressed QC 100 _ Arithmetic Statistics Listed in numerical order, the given numbers are " 250~5- 2, 3, 4, 6, 7, and If the seventh number were or 4, then the numbers in numerical order would The correct answer is A be 2, 2, 3, 4, 6, 7, and or 2, 3, 4, 4, 6, 7, and 11 When Leo imported a certain item, he paid a percent import tax on the portion of the total value of the item in excess of $1,000 If the amount of the import tax that Leo paid was $87.50, what was the total value of the item? (A) (B) (0 (D) (E) In either case the median would be and the average would be 2+2+3+4+6+7+8 32 7 2+3+4+4+6+7+ or =4p neither ofwhich equals So, for neither of the values in I or II does the average equal the median If the seventh $1,600 $1,850 $2,250 $2,400 $2,750 number were 5, then the numbers in numerical order would be 2, 3, 4, 5, 6, 7, and The median would be and the average would be 2+3+4+5+6+7+8 y 35 c ™ A = -j= d thus, ftor the Algebra First-degree equations value in III, the average equals the median Letting x represent the total value of the item, convert the words to symbols and solve the The correct answer is B equation 7% of value in excess of $1,000 = 87.50 0.07(^-1,000) =87.50 x-l,000 = 1,250 x = 2,250 The correct answer is C 12 The numbers of cars sold at a certain dealership on six of the last seven business days were 4, 7, 2, 8, 3, 13 Arectangular garden is to be twice as long as it is wide If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards? (A) 120 (B) 140 (0 160 (D) 180 (E) 200 Geometry Quadrilaterals; Perimeter and 6, respectively Ifthe number of cars sold on the seventh business day was either 2, 4, or 5, for which Let the width of the rectangle be x Then the ofthe three values does the average (arithmetic length is2x Since the perimeter ofa rectangle is mean) number of cars sold per business day for the twice the sum of the length and width, it follows seven business days equal the median number of cars that sold per day for the seven days? 360 = 2(x+ 2x) 360 = ox II 120 = 2x III So, the length is 120 (A) II only (B) III only (0 1and II only (D) II and III only (E) 1,11, and III The correct answer is A 191 The Official Guide for GMAT® Review 13th Edition QQ:1014347461 14 If yy-12 anc* answer Arithmetic Operations with rational numbers choices C, D, and E can be eliminated Since Perform the arithmetic calculations as follows: -4 > lr = -C + -k> —?and answer choice A 8 4' can be eliminated Thus, < tt + tt < • '489 '-•Hl-HH =-4 The correct answer is B 47 =i-4 If x = 1- 3f and y = 2t -1, then for what value of t does x = y ? =7 (A) (B) (C) (D) (E) The correct answer is B 2 49 Car Xaverages 25.0 miles per gallon of gasoline and CarYaverages 11.9 miles per gallon If each car is driven 12,000 miles, approximately how many more 5" gallons of gasoline will Car Y use than Car X ? (A) 320 (B) 480 (0 520 (D) 730 (E) 920 201 The Official Guide for GMAT® Review 13th Edition QQ:1014347461 Arithmetic Applied problems 51 If y is an integer, then the least possible value of |23 —5y| is Car X uses gallon of gasoline for every 25 miles it is driven, so CarX uses ^f ofa gallon for every (A) (B) mile it is driven Therefore Car X will use (0 (12,000)1A] =480 gallons ofgasoline when it is (D) (E) driven 12,000 miles Car Y uses gallon of Arithmetic Absolute value; Operations with integers 119 gasoline for every 11.9 or ~ttt miles it is driven, so Car Y uses ttq of a gallon for every mile it Since y is an integer, 23 —Sy is also an integer The task is to find the integery for which is driven Therefore Car Y will use |23 - 5j/| is the least Ifyt 0, -Sy 0, and 23- Sy > 23.Therefore, the least possible gasoline when it is driven 12,000 miles Thus, Car Y will use approximately 1,000 - 480 = 520 more gallons of gasoline than Car X value of|23 - Sy\ occurs at a nonnegative value of y From the chart below, it is clearthat the least possible integer value of[23 - Sy\ is 2,which occurs when y = The correct answer is C 50 How many integers n are there such that l