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10/iii/twenty

THE CORRECT Answer IS Eastward.

Starting time, determine the value of x, which is threetwo, or 9. The problem asks for the value of xx , so substitute 9 for ten, which makes the expression 99. This is not an answer choice. In fact, all the answer choices are written with a base of 3, and so catechumen 9ix to a base of 3. This yields 9nine = (iii2)nine, or 318. This matches (Eastward), which is the right answer.

9/29/20

THE CORRECT ANSWER IS A.

The quantities are already represented as the product of prime number factors: 7two = (7)(vii), so the least prime cistron of Quantity A is its only prime gene, 7. Similarly, 27 = (two)(ii)(two)(2)(2)(ii)(2), then Quantity B is 2. The answer is (A).

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nine/26/20

THE CORRECT Reply IS D.

At that place are variables in the quantities, so Plug In. Brainstorm with something that impacts exponents in a unique manner, such as 1. Whena = i, Quantity A is 3 and Quantity B is something greater than three. Eliminate (A) and (C). Now Plug In again using FROZEN numbers. Efforta = 0. In this case, both quantities are equal. Eliminate (B) and the correct reply is (D).

9/22/20

THE CORRECT Answer IS D.

This problem has variables in the question stalk and quantities, then Plug In. This problem looks suspiciously simple. Clearlyx = iii andy = 4. Eliminate choices (A) and (C). However, remember to Plug In more than once using FROZEN numbers for Quant Comp issues. Plug In again. Consideringy ii = 16 could stand for either y = 4 ory = –four. Ify equals –4, and so Quantity A is greater. Eliminate (B) and the correct answer is (D).

ix/19/20

THE CORRECT Respond IS nine.

This problem provides a ratio, so describe a ratio box. With a ratio of 5 : vii : three, the total number of singers is at to the lowest degree 15. If you double the number, and keep the ratio, at that place are xxx singers. To have at least forty singers with the same ratio, the bodily total is 45, or iii times 15, which means there are three times the number of basses (3) in the ratio, or 9.

9/15/xx

THE CORRECT Reply IS D.

There are variables in the question stem and quantities, then Plug In. Outset with easy numbers forpandqsuch equallyp= i andq= 2. In this example, Quantity A is 27 and Quantity B is ix. Eliminate (B) and (C). Plug In once again using FROZEN numbers. Attempt fractions such equallyp= 1/2 and q= 1/4. In this instance, Quantity A is all the same greater. Plug In one more fourth dimension, this time with negative numbers such asp= –3 andq= –two. Now, Quantity A is –125 and Quantity B is –35. Because –35 is greater than –125, Quantity B is greater than Quantity A. Eliminate (A). The correct respond is (D).

9/12/20

THE Correct Reply IS A.

A computer manufacturer builds 1,000 computers and sells all of them, yielding a profit of $xx,000. The corporeality of $20,000 is 40% of the price of production, and so the total toll of product is $twenty,000 = 0.4x; therefore,10 = $50,000. Determine the cost of 1 estimator at the retail store to find the value for Quantity A. All computers are sold for the same amount of money, so decide the total amount of money spent at the retail store. If the total profit is $xx,000 and the full cost of production is $50,000, then the total amount of coin spent on the computers at the retail store is $lxx,000. The cost of one computer is $70. So, Quantity A is $70 and Quantity B is $l, which means that Quantity A is greater and the correct respond is (A).

9/8/20

THE Correct ANSWER IS D.

Together, Rachel and Rob encompass 120 of the 190 miles in one hour. Fix a proportion to observe out how long the whole trip takes, so 120miles/60minutes =190miles/xminutes and 12010 = 11,400. Therefore,x = 95 minutes for the whole trip. Since the whole trip takes 95 minutes, a separate proportion tin be set up to figure out how many miles they cover in 45 minutes. 120miles/threescoreminutes =y miles/45minutes, and so 60y = v,400 and y = 90miles, and the correct answer is (D).

9/5/20

THE CORRECT Respond IS four.

To solve this question, write it out. Since there are fewer numbers that yield a remainder of two when divided by seven, start there. The get-go such number is ii, and thereafter they increase by 7; the rest of the list is thus 9, 16, 23, 30, 37, 44, 51, 58, 65, 72, 79, 86, and 93. Rather than listing out all the numbers that yield a remainder of 1 when divided by 3, just select the numbers that meet the requirement from the list y'all already accept: merely 16, 37, 58, and 79 practice, so there are 4 values forx.

9/ane/20

THE CORRECT Respond IS 480.

Make lists of the multiples for each number. Work on 240 offset; then list the multiples of 160 until y'all find ane on the list for 240.

240:160:
240          160
480          320
720          480

8/29/20

THE Correct Reply IS C.

Rather than list out all of the prime numbers upward to 43, stay focused on the unique number, two, the only even prime number. All of the choices are odd, and two odd numbers would yield an fifty-fifty sum, so you'll exist able to eliminate answers simply past calculation 2 to an odd number. Each of the incorrect answers, therefore, is the sum of ii and the previous prime number number: Pick (A) is ii + 5; (B) is 2 + 17; (D) is 2 + 29; and (E) is two + 41. The respond is (C).

viii/25/20

THE CORRECT ANSWER IS C.

The question asks for a specific value, and the answer choices represent that value, and then Plug In the Answers. Start with (C). If Brian's paycheck is $924, and he spends ane/4 on the repair, then he spends $231, which leaves $693. The insurance and registration each price one/3 of the residual, or $231, and then he spends some other $462, leaving him with $693 – $462 = $231. This matches the information in the question, so (C) is right.

8/22/twenty

THE Correct ANSWERS ARE A, D.

This question asks for a specific value and that value is represented by the respond choices, so Plug In the Answers. Because this is an All That Apply question, it is acceptable to start with (A). Plug In the values in the reply choices forx . Choices (A) and (D) do not result in an integer, while (B) and (C) practice. The correct answers are (A) and (D).

8/18/20

THE CORRECT ANSWERS ARE A, D.

First, use an Average Pie. Multiply 4 by 120 and to detect a total of 480 points for the beginning 4 games. Now, Plug In the Answers to figure out which answers give an overall boilerplate that is divisible by 7. Commencement with (A), because on All That Apply questions, there's no reason to start in the middle if many answers might piece of work. Choice (A) yields 480 + eighty = 560, and 560 ÷ five = 112. That is divisible by 7. Choice (B) is 480 + 110 = 590, and 590 ÷ v = 118. This is not divisible by 7, so eliminate (B). Keep checking all the answer choices, looking for whatever that issue in an integer divisible past vii. The correct answers are (A) and (D).

8/15/20

THE Right ANSWER IS D.

This question has numbers in the respond choices, so Plug in the Answers, starting with (C). 25% of $110,000 is $27,500, and $100,000 plus $27,500 equals $137,500. Since this is too small, choose a bigger number, such equally (D), $112,000. In this case, 25% of $112,000 is $28,000, and $112,000 plus $28,000 is $140,000, which is the total stated in the problem, so (D) is the correct response.

eight/11/20

THE Correct ANSWER IS D.

There are variables in the question stem and answer choices, and then Plug In. Plug In a value forz that is easy to work with, such every bitz = 100. Ifz =100, then Wanda's number is 50 and 20 pct of 50 is 10. So, 10 is the target number. Plug In 100 forz in all the respond choices looking for one that equals 10. Choice (D) is the just choice that equals 10, so the right answer is (D).

eight/8/xx

THE CORRECT Reply IS B.

This question asks for a specific value, and that value is represented past the answer choices, so Plug In the Answers. Start with (C). If ReservoirA contains 700 million gallons of water, then ReservoirB has 450 million gallons less, or 250 1000000 gallons. When 100 million gallons are drained from ReservoirA to ReservoirB, then the reservoirs hold 600 million and 350 million gallons of water, respectively. The problem states that ReservoirA has twice the water that ReservoirB has, and so this pick is wrong. Eliminate (C). Information technology is difficult to tell if the number needs to be larger or smaller, so pick a direction. Try (B). If ReservoirA contains 600 one thousand thousand gallons of water, so ReservoirB has 450 million gallons less, or 150 million gallons. When 100 1000000 gallons are drained from ReservoirA to ReservoirB, so the reservoirs hold 500 meg and 250 million gallons of water, respectively. Because ReservoirA has twice the amount of water as ReservoirB, this is the appropriate relationship. The correct respond is (B).

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