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Test Prep GRE Section 2 Quantitative

Section Two Quantitative

Verified practice questions with detailed answers, clear explanations, and community discussion.

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Question 1 of 424

In a geometric sequence, each term is a constant multiple of the preceding one. If the first three terms in a geometric sequence are 22, x, and 28, which of the following could be the sixth term in the sequence?

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Correct answer: B

In a geometric sequence, the ratio between consecutive terms is constant. Let's denote the common ratio by r. Therefore, we have the second term x = 22r and the third term 28 = 22r^2. Solving for r, we get r^2 = 28 / 22, so r = sqrt(14/11). The sixth term is obtained by multiplying the first term by r^5. Thus, the sixth term is 22 * (sqrt(14/11))^5. Calculating this gives approximately 256.

Question 2 of 424

Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon gets paid by the hour at a rate of $10 and time and for any hours worked over 8 in a day. How much did Simon get paid?

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Correct answer: E

Simon worked from 8:15 A.M. to 10:30 P.M., which is a total of 14 hours and 15 minutes, or 14.25 hours. He gets paid $10 per hour for the first 8 hours and time and a half ($15 per hour) for any hours over 8. For the first 8 hours, he earns 8 * $10 = $80. For the remaining 6.25 hours, he earns 6.25 * $15 = $93.75. Therefore, his total pay is $80 + $93.75 = $173.75. Hence, the correct calculated amount is $173.75.

Question 3 of 424

Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 hours. How quickly can all three fill the pool together?

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Correct answer: C

To find out how quickly all three can fill the pool together, we need to determine their combined rate of working. Jim can fill the pool in 30 minutes, so his rate is 1/30 pools per minute. Sue can fill it in 45 minutes, so her rate is 1/45 pools per minute. Tony can do it in 1½ hours, which is 90 minutes, so his rate is 1/90 pools per minute. Adding their rates together gives (1/30) + (1/45) + (1/90). Finding a common denominator and summing the fractions, we get (3/90) + (2/90) + (1/90) = (6/90) = 1/15 pools per minute. The time it takes for them to fill one pool together is the reciprocal of the combined rate, which is 15 minutes. Thus, all three can fill the pool together in 15 minutes.

Question 4 of 424

Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?

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Correct answer: E

Option E contains the incorrect solution. If we simplify the equation t - 2t - 3t = 32, it combines to -4t = 32. Solving for t, we divide both sides by -4 to get t = -8, not 8. Therefore, the solution provided in option E is incorrect.

Question 5 of 424

How many cubed pieces of fudge that are 3 inches on an edge can be packed into a Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed?

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Correct answer: C

To determine the number of cubed pieces of fudge that are 3 inches on an edge that can be packed into a Christmas tin, we first need to calculate the volume of the tin. The dimensions of the tin are 9 inches deep, 12 inches wide, and 8 inches high. Therefore, the volume of the tin is 9 x 12 x 8 = 864 cubic inches. Each cube of fudge has a volume of 3 x 3 x 3 = 27 cubic inches. To find the number of cubes that can fit in the tin, we divide the volume of the tin by the volume of one fudge cube, which is 864 / 27 = 32. Hence, the maximum number of cubed pieces of fudge that can be packed into the tin is 32.

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Honestly, I had already gone through the official documentation quite thoroughly, but still didn't feel fully confident going in. This helped things finally click for me. I realized I knew the material, but just hadn't connected all the pieces yet.
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I don't usually leave reviews, but this one felt worth sharing. The questions were quite close to what actually appeared on the exam, more than I expected. I spent about a week going through the material before my test, and it helped me feel more prepared.
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