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If a and b are nonzero integers and a^(3b) = a^(b-6), what is the valu
If a and b are nonzero integers and a^{3b} = a^{b-6}, what is the value of b^{a}?(A) a^3 = 8(B) a^2 = 4[Reveal] Spoiler: I understand that (A) is sufficient. But if I simplify the given equation...
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A certain purse contains 30 coins, Each coin is either a nickel or
A certain purse contains 30 coins, Each coin is either a nickel or a quarter. If the total value of all coins in the purse is 4.70$, how many nickels does the purse contain? A. 12B. 14C. 16D. 20E. 22
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If M is the least common multiple of 90, 196, and 300, which
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quants question--Pls help solve?
I got this question from a friend who got this from his local GMAT prep tutor.Question: Two men A and B, purchase a grindstone 30 cm in diameter for $12, of which A pays $7 and B pays $5. Now supposing...
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How many factors does x have, if x is a positive integer ?
Tough and Tricky questions: Divisibility/Multiples/Factors.How many factors does x have, if x is a positive integer?(1) x = p^n, where p is a prime number (2) n^n = n + n, where n is a positive...
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Two positive numbers differ by 12 and their reciprocals differ by 4/5
Tough and Tricky questions: Algebra.Two positive numbers differ by 12 and their reciprocals differ by \frac{4}{5}. What is their product?A. \frac{2}{15}B. \frac{48}{5}C. 15D. 42E. 60Kudos for a correct...
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Several friends in a dinner group decide to contribute equally to the
Tough and Tricky questions: Word Problems.Several friends in a dinner group decide to contribute equally to the purchase of a $36 gift. How many people are in the group?(1) The number of people in the...
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If 1/(x - 2) = 1/(x + 2) + 1/(x - 1), which of the following is a
Tough and Tricky questions: Algebra.If \frac{1}{x - 2} = \frac{1}{x + 2} + \frac{1}{x - 1}, which of the following is a possible value of x?A. -2B. -1C. 0D. 1E. 2Kudos for a correct solution.
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The tens digit of 6^17 is
Tough and Tricky questions: Exponents/Powers.The tens digit of 6^17 isA. 1B. 3C. 5D. 7E. 9Kudos for a correct solution.
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x is replaced by 1 - x everywhere in the expression 1/x - 1/(1 - x)
Tough and Tricky questions: Algebra.x is replaced by 1 - x everywhere in the expression \frac{1}{x} - \frac{1}{1 - x}, with x \neq 0 and x \neq 1. If the result is then multiplied by x^2 - x, the...
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If ab#0 and a # -3b, what is the value of (4a + 6b)/(a + 3b)
Tough and Tricky questions: Algebra.If ab \neq 0 and a \neq -3b, what is the value of \frac{(4a + 6b)}{(a + 3b)}?(1) a - 3b = 6(2) \frac{2a}{(a + 3b)} = 4Kudos for a correct solution.
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At the beginning of year 1, an investor puts p dollars into an investm
Tough and Tricky questions: Percents and Interest Problems.At the beginning of year 1, an investor puts p dollars into an investment whose value increases at a variable rate of x_n% per year, where n...
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A number of eggs dyed various colors were hidden for an egg hunt. How
Tough and Tricky questions: Word Problems.A number of eggs dyed various colors were hidden for an egg hunt. How many eggs in total were hidden?(1) The number of red eggs hidden is the square of an...
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If ab = x and a/b = y, and ab does not equal zero, then
Tough and Tricky questions: Algebra.If ab = x and \frac{a}{b} = y, and ab does not equal zero, then a^2 - b^2 =A. \frac{x(y - 1)(y + 1)}{y}B. xy - \frac{y}{x}C. x^2 - y^2D. y(x^2 - \frac{1}{x^2})E....
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An investor can sell her MicroTron sock for 36$ per share and
An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 52$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many...
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How to find the numbers/division with the same remainders?
If they say x divided by 20 has a remainder of 17.How can I find the possible numbers that x could be?The answer is 17,37,57,77,97 ...I know how to do the calculation, but how can I do it fast?Am I...
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Last minute 700+ prep
I took the GMAT a year ago and scored a 720 (Q45 V44). I really wanted at least a 730, so I tried again in October but scored a 720 again (Q47, V41). I scheduled a second test date for Friday, and...
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Shortcut to find Tens digit (Last two digit) of a number
I found this post in some other forum. Let's divide this method into three parts and we will discuss each part one by one:a. Last two digits of numbers which end in oneb. Last two digits of numbers...
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What is the area of the non-shaded region?
Hi,I've posted an image of a problem I encountered. Unfortunately, I don't have the answer choices but I was wondering if you could help me out?Thanks!
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What is the sum of all even integers between 99 and 301?
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