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If the triangle above has side lengths w, x and y, what is the area of triangle ABC?

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If the triangle above has side lengths w, x and y, what is the area of triangle ABC?

(1) w = 2
(2) x + y = 3√2 + √6

Answer: D
Source: GMAT Prep Now


Re: Is 8^x > 4^y?

Is 8^x > 4^y? 1) x > y 2) 3x > 2y Answer: B Source: Math Revolution Target question : Is 8^x > 4^y? This is a great candidate for rephrasing the target question . Aside: We have a free video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100...

by Brent@GMATPrepNow

Mon Aug 10, 2020 4:49 am
Forum: Data Sufficiency
Topic: Is 8^x > 4^y?
Replies: 1
Views: 25

Re: If a certain vase contains only roses and tulips, how many tulips are there in the vase?

If a certain vase contains only roses and tulips, how many tulips are there in the vase? (1) The number of roses in the vase is 4 times the number of tulips in the vase. (2) There is a total of 20 flowers in the vase. Answer: C Source: Official guide We can also solve this question using 2 variable...


Re: If all of the telephone extensions in a certain company must be even

If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 3, and 6, what is the greatest number of four-digit extensions that the company can have? (A) 4 (B) 6 (C) 12 (D) 16 (E) 24 Answer: C Source: Official guide N...


Re: In the first week of the Year, Nancy saved $1. In each of the next 51

In the first week of the Year, Nancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Nancy saved during the 52 weeks? A. $1,326 B. $1,352 C. $1,378 D. $2,652 E. $2,756 Answer: C Source: Official guide Here's another a...


Re: If all of the telephone extensions in a certain company must be even

If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 3, and 6, what is the greatest number of four-digit extensions that the company can have? (A) 4 (B) 6 (C) 12 (D) 16 (E) 24 Answer: C Source: Official guide T...


Re: Diana bought a stereo for $530, which was the retail price plus a 6 percent sales tax.

Diana bought a stereo for $530, which was the retail price plus a 6 percent sales tax. How much money could she have saved if she had bought the stereo at the same retail price in a neighboring state where she would have paid a sales tax of 5 percent? (A) $1.00 (B) $2.65 (C) $4.30 (D) $5.00 (E) $5....


Re: Bob purchased 18 cans of soda, some of which contained diet soda. How many of the cans did not contain diet soda?

Bob purchased 18 cans of soda, some of which contained diet soda. How many of the cans did not contain diet soda? (1) Of the cans Bob purchased, the number containing diet soda is equal to the number not containing diet soda. (2) Of the cans Bob purchased, the number containing diet soda is odd Ans...


Re: If k and m are numbers such that k + m = 20 and k^2 + m^2 = 289, then the value of the product km is

If k and m are numbers such that k + m = 20 and k^2 + m^2 = 289, then the value of the product km is (A) between 20 and 60 (B) between 60 and 100 (C) between 100 and 150 (D) between 150 and 200 (E) greater than 200 Answer: A Source: GMAT prep GIVEN: k + m = 20 and k² + m² = 289 Take: k + m = 20 Squ...


Re: If x is a positive integer and x + 2 is divisible by 10, what is the remainder

If x is a positive integer and x + 2 is divisible by 10, what is the remainder when x^2 + 4x + 9 is divided by 10? A. 1 B. 3 C. 5 D. 7 E. 9 Answer: C Source: Magoosh Given: x + 2 is divisible by 10 In other words x + 2 is a multiple of 10, which means we can write: x + 2 = 10k for some integer k We...


Re: If Q is an odd number and the median of Q consecutive integers is 120, what is the largest of these integers?

If Q is an odd number and the median of Q consecutive integers is 120, what is the largest of these integers? (A) (Q - 1)/2 + 120 (B) Q/2 + 119 (C) Q/2 + 120 (D) (Q + 119)/2 (E) (Q + 120)/2 Answer: A Source: Official guide A very fast solution is to see what happens when Q = 1 . This means that the...


Re: If x and y are positive integers, is x^2*y^2 even ?

If x and y are positive integers, is x^2*y^2 even ? (1) x + 5 is a prime number (2) y + 1 is a prime number Answer: A Source: Magoosh Target question : Is x²y² even ? Statement 1 : x + 5 is a prime number So, x+5 is a prime number greater than 5, which means x+5 must be ODD (since 2 is only even pr...

by Brent@GMATPrepNow

Sat Aug 08, 2020 12:19 pm
Forum: Data Sufficiency
Topic: If x and y are positive integers, is x^2*y^2 even ?
Replies: 1
Views: 21

Re: If x is a positive number less than 10, is z greater than the average (arithmetic mean) of x and 10?

If x is a positive number less than 10, is z greater than the average (arithmetic mean) of x and 10? (1) On the number line, z is closer to 10 than it is to x. (2) z = 5x Answer: A Source: Official guide Target question : Is z greater than the mean of x and 10? Statement 1 : On the number line, z i...


Re: If ax + b = 0, is x > 0

If ax + b = 0, is x > 0 (1) a + b > 0 (2) a - b > 0 Answer: E Source: GMAT prep Target question : Is x > 0 Given : ax + b = 0 Statement 1 : a + b > 0 At this point, we have 1 equation, 1 inequality, and THREE variables. Even if we had 2 EQUATIONS and 3 variables, we probably wouldn't be able to mak...

by Brent@GMATPrepNow

Fri Aug 07, 2020 6:43 am
Forum: Data Sufficiency
Topic: If ax + b = 0, is x > 0
Replies: 2
Views: 61

Re: Is 20 the average (arithmetic mean) of a, b, and 20 ?

Is 20 the average (arithmetic mean) of a, b, and 20 ? (1) a + b = 40 (2) a – b = 2 Answer: A Source: GMAT prep Target question : Is 20 the average (arithmetic mean) of a, b, and 20 ? This is a good candidate for rephrasing the target question . First recognize that we can write: Does (a + b + 20)/3...