What is the highest number of high school students who will not be assigned to

# What is the highest number of high school students

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What is the highest number of high school students who will not be assigned to the team they prefer? A) 30 B) 35 C) 40 D) 45 E) 50 A taxi leaves the Point A 5 hours after a bus left the same spot. The bus is traveling 30 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in three hours. A) 36 B) 38 C) 40 D) 42 E) 44 Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second cyclist is riding at 16 mph. How long after they begin will they meet? A) 1 B) 1.2 C) 1.25 D) 1.35 E) 1.5 See Video Explanation 49 50 51 52 GMAT Quant: Problem Solving Page 90 See Video Explanation See Video Explanation For Concept Videos and More Video Explanations By GMATPill , Sign Up For the GMAT Pill Problem Solving Pill Exponents Venn Diagram Answer Key: 1) E 2) A 3) C 4) A 5) E 53 54 6) E 7) E 8) C 9) B 10) D 11) D 12) E For solutions to the remaining questions, login here. GMAT Quant: Problem Solving Page 91 Isosceles Isosceles If angle a = c, then side length D = E When this condition is met, the triangle is called an isosceles If angle a = c, then side length D = E When this condition is met, the triangle is called an isosceles b c a D E F Right Isosceles Right Isosceles A right isosceles is a specific type of isosceles triangle where the angles are 45-45-90 as shown. A right isosceles is a specific type of isosceles triangle where the angles are 45-45-90 as shown. x x 2 x Right Isosceles Right Isosceles Hypotenuse = ? Hypotenuse = Hypotenuse = ? Hypotenuse = a b h y p o t e n u s 2 2 b a 45 ˚ 45 ˚ 90 ˚ Circle Circle Area = π r 2 Circumference = π *diameter (Rhymes: “pi” “di”) Area = π r 2 Circumference = π *diameter (Rhymes: “pi” “di”) r Triangle Area = Triangle Area = height base * 2 1 Cylinder/Sphere Cylinder/Sphere Volume of cylinder = Area of circle * how far that circle extends Volume of cylinder = π r 2 * height Volume sphere = Volume of cylinder = Area of circle * how far that circle extends Volume of cylinder = π r 2 * height Volume sphere = 3 3 4 r 2 miles 1 mile 30 ˚ 60 ˚ 90 ˚ Triangle Right 3 2 x x x 3 4 5 5 12 13 Know these triangle ratios! 2 2 2 c b a See Video Explanation GMAT Quant: Problem Solving Page 92 GMAT Quant: Problem Solving Page 93 Sum of Sequences Sequences: Sum, Average, # of terms Sum: What is sum of all multiples of 3 from 1 to 100? Average: What is the average of all these multiples of 3? # of Terms: How many numbers are multiples of 3 between 1 and 100? Sequences: Sum, Average, # of terms Sum: What is sum of all multiples of 3 from 1 to 100? Average: What is the average of all these multiples of 3? # of Terms:  • • • 