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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## One-fifth of the students at a nursery school are 4 years tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 0 member replies ### Top Member ## One-fifth of the students at a nursery school are 4 years ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Princeton Review One-fifth of the students at a nursery school are 4 years old or older. If 16 students have not yet reached their third birthday, and a total of 40 students are not between 3 years old and 4 years old, how many children are in the nursery school? A. 120 B. 96 C. 70 D. 60 E. 24 The OA is A. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10109 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that 1/5 of the students at a nursery school are 4 years old or older, 16 students have not yet reached their third birthday and a total of 40 students are NOT between 3 years old and 4 years old. We're asked for the total number of children in the nursery school. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS. Since 1/5 of the students are 4 or older, we know that the TOTAL number of students MUST be a multiple of 5 (since you can't have a 'fraction' of a student). Thus, we can eliminate Answers B and E immediately. Let's TEST Answer C: 70 students IF..... there are 70 students (1/5)(70) = 14 are 4 years old or older and 16 are under 3 years old These two groups represent the students who are NOT between 3 and 4 years old. However, this only totals 14+16 = 30 students; we're told that 40 students fit that description. Thus, 70 is TOO SMALL a number - and we need there to be MORE students. There's only one answer that fits... Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 18 members Upvotes: 39 BTGmoderatorLU wrote: Source: Princeton Review One-fifth of the students at a nursery school are 4 years old or older. If 16 students have not yet reached their third birthday, and a total of 40 students are not between 3 years old and 4 years old, how many children are in the nursery school? A. 120 B. 96 C. 70 D. 60 E. 24 Let’s let x = the total number of students at the school. We know that 1/5 of the total number of students, or 0.2x, are 4 years old or older. Additionally, we are given that 16 students are less than age 3. The key piece of information is that a total of 40 students are NOT between ages 3 and 4, which means that: 0.2x + 16 = 40 2x + 160 = 400 2x = 240 x = 120 Answer: A _________________ Jeffrey Miller Head of GMAT Instruction • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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