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x years ago, Cory was one fifth as old as Tania. In x years, Tania wil
x years ago, Cory was one fifth as old as Tania. In x years, Tania will be twice as old as Cory. What is the ratio of Cory's current age to Tania's current age?(A) 7:23 (B) 9:17 (C) 5:13 (D) 3:7 (E) 11:15
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The longevity of a certain metal construction is determined by the fol
Tough and Tricky questions: Word Problems.The longevity of a certain metal construction is determined by the following formula: l = (7.5 - x)^4 + 8.97^c, where l is the longevity of the construction,...
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Line D passes through point (-2,5), and the product of its x-intercept
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For nonnegative integers x and y, 30x = 49y. Which of the following
For nonnegative integers x and y, 30x = 49y. Which of the following must be true?I. x > yII. y/10 is an integer.III. \frac{\sqrt{x}}{7} is an integer.(A) I only(B) II only(C) III only(D) I and II(E)...
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Problem Solving Absolute Value
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A train travels from city A to city B. The average speed of the train
A train travels from city A to city B. The average speed of the train is 60 miles/hr and it travels the first quarter of the trip at a speed of 90 mi/hr. What is the speed of the train in the remaining...
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On Monday morning, Chris receives tickets to a baseball
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point...
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What percentage loss will a merchant incur if he marks his goods up by
What percentage loss will a merchant incur if he marks his goods up by x% over his cost price and then offers a discount of x% on his selling price?A. 0 %B. 2x/100 %C. x^2/100 %D. x %E. 2x %
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Probability PS question
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8^a*(1/4)^b = ?
Tough and Tricky questions: Exponents.8^a*(\frac{1}{4})^b =? (1) b = 1.5a (2) a = 2Kudos for a correct solution.
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A, B, C, D, E, F, G, and H are all integers, listed in order of increa
Tough and Tricky questions: Sequences.A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two...
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Averages (Arithmetic Means)
Dear GMAT club members. I have a very general question on averages (arithmetic means). I worked through a number of OG guide problems as well as Manhattan Word Problem sets that deal with arithmetic...
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(3^5x + 3^5x + 3^5x)(4^5x + 4^5x + 4^5x + 4^5x) =
Tough and Tricky questions: Exponents.(3^{5x} + 3^{5x} + 3^{5x})(4^{5x} + 4^{5x} + 4^{5x} + 4^{5x}) =A. 12^(5x + 1) B. 3^(15x) + 4^(20x) C. 25^(5x) D. 7^(35x) E. 25^(5x+1)Kudos for a correct solution.
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What is the value of 2^a*4^b?
Tough and Tricky questions: Exponents.What is the value of 2^a*4^b?(1) a = -2b (2) b = 4Kudos for a correct solution.
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If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =
Tough and Tricky questions: Exponents.If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =A. -3 B. -1 C. 0 D. 1 E. 3Kudos for a correct solution.
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If 5^x = y, what is x?
Tough and Tricky questions: Exponents.If 5^x = y, what is x? (1) y^2 = 625 (2) y^3 = 15,625Kudos for a correct solution.
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Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf
Tough and Tricky questions: Word Problems.Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf balls. How many golf balls does Jim have?(1) Jim has 1/3 of the number of golf balls that...
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find sum of series
find sum of first 15 terms of S = 5 * 3^2+6*4^2+7*5^2...............??
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If 3^m3^m3^m = 9^n, then m/n =
Tough and Tricky questions: Exponents.If 3^m3^m3^m = 9^n, then m/n =A. 1/3 B. 2/3 C. 1 D. 3/2 E. 3Kudos for a correct solution.
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If a = 3^(b – 1), what is the value of a + b ?
Tough and Tricky questions: Exponents.If a = 3^(b 1), what is the value of a + b ? (1) 3^(b + 2) = 243 (2) a = 3^(2b 4)Kudos for a correct solution.
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