A square with side length 2 is inscribed in the circle, and a smaller circle is inscribed in the square. Here are 10 more hardest GRE Math questions–nonstop! 6. Dividing both sides by 7, we get 2^x = 48, which means x = 5.įor the next question…ok, let’s cut to the chase. Solution: We can start by factoring out 2^x from the left-hand side of the equation: 2^x(1 + 2 + 4) = 2^x(7) = 336. If x is a positive integer and 2^x + 2^(x+1) + 2^(x+2) = 336, what is the value of x? In this case, a = 1, b = -3, c = -4, and d = 12, so the sum of the roots is -(-3)/1 = 3.Īnother GRE math question to tingle on Math nerves. Solution: To find the sum of the roots, we can use Vieta’s formulas, which state that the sum of the roots of a cubic equation ax^3 + bx^2 + cx + d = 0 is -b/a. If f(x) = x^3 – 3x^2 – 4x + 12, what is the sum of the roots of the equation f(x) = 0? Now, we’ve got a problem that’ll have you feeling like a detective on the hunt for clues. To simplify these expressions, we can first find a common denominator:Ī+b = /Ī-b = / Solution: We can start by finding the value of a+b and a-b separately: Now, let’s take things up a notch with another GRE math question that’ll have you feeling like a math wizard. E is true because x + 1 + x + 2 = 2x + 3, which is odd. D is true because x + 1 – x = 1, which is odd. C is false because the sum of three consecutive integers is always odd. B is false because x + 2 can be even or odd. Now we can use the answer choices to narrow down our options. Solution: Let’s say that a = x, b = x + 1, and c = x + 2. If a, b, and c are consecutive integers such that a < b < c, which of the following must be true? Next, we’ve got a GRE math question that’ll have you scratching your head and wondering if you’ve been transported to an alternate dimension where integers behave differently. Solution: The formula for the sum of the first n positive integers is (n)(n+1)/2. What’s the sum of the first 50 positive integers? In this blog post, we’ll take a look at 15 of the hardest GRE math questions with solutions to help you prepare for the exam.įirst up, we have a classic GRE math question that’ll have you feeling like a math whiz in no time. Preparing for the GRE math test can be challenging, but practice tests for the GRE can help you get familiar with the types of questions you’ll encounter. The Quantitative Reasoning or the GRE math section measures a test-taker’s ability to solve mathematical problems and interpret data. Are you ready to tackle the toughest of the tough GRE math questions? Buckle up and get ready to put your thinking cap on – we’re about to dive into some GRE math problems!
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