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Re: Machines \(X\) and \(Y\) produced identical bottles at different constant rates. Machine \(X,\) operating alone for

Machines \(X\) and \(Y\) produced identical bottles at different constant rates. Machine \(X,\) operating alone for \(4\) hours, filled part of a production lot; then Machine \(Y,\) operating alone for \(3\) hours, filled the rest of this lot. How many hours would it have taken Machine \(X\) operat...


Re: In the figure above, if \(AD\) is parallel to \(BC,\) then \(\angle ADC=\angle ADC=\)

1.jpg In the figure above, if \(AD\) is parallel to \(BC,\) then \(\angle ADC=\angle ADC=\) A. \(11^{\circ}\) B. \(22^{\circ}\) C. \(33^{\circ}\) D. \(46^{\circ}\) E. \(134^{\circ}\) Answer: C Source: Princeton Review First, since angles in a triangle must add to 180°, we can see that the missing a...


Re: Is \(n > 6?\)

Is \(n > 6?\) (1) \(\sqrt{n}>2.5\) (2) \(n>\sqrt{37}\) Answer: D Source: GMAT Prep Target question : Is n > 6? Statement 1 : √n > 2.5 Square both sides to get: n > (2.5)² Evaluate to get: n > 6.25 If n > 6.25, then we can be CERTAIN that n > 6 Since we can answer the target question with certainty,...

by [email protected]

Sat Nov 27, 2021 7:33 am
Forum: Data Sufficiency
Topic: Is \(n > 6?\)
Replies: 1
Views: 42

Re: A number of people shared a meal, intending to divide the cost evenly among themselves. However, several of the dine

A number of people shared a meal, intending to divide the cost evenly among themselves. However, several of the diners left without paying. When the cost was divided evenly among the remaining diners, each remaining person paid \(\$12\) more than he or she would have if all diners had contributed e...


Re: In triangle \(ABC\) above, what is the length of side \(BC?\)

Untitled.png In triangle \(ABC\) above, what is the length of side \(BC?\) (1) Line segment \(AD\) has length \(6.\) (2) \(x = 36\) Answer: A Source: Official Guide Target question : What is the length of side BC? Statement 1 : Line segment AD has length 6. BEFORE we deal with statement 1, let's se...


Re: Coin toss

When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result? 1) The player tossed the coin 24 times 2) The player received 3 points each time heads resulted and 1 poi...

by [email protected]

Sat Nov 27, 2021 7:23 am
Forum: Data Sufficiency
Topic: Coin toss
Replies: 7
Views: 2083

Re: If \(|x| < x^2,\) which of the following must be true?

If \(|x| < x^2,\) which of the following must be true? A. \(x > 0\) B. \(x < 0\) C. \(x > 1\) D. \(-1 < x < 1\) E. \(x^2 > 1\) Answer: E Source: GMAT Prep I find that these questions can be solved quickly (and accurately) by testing values. For example, if |x| < x², then x could equal 2 (since |2| ...


Re: One-tenth of the employees at a company dinner are vice-presidents, and one-third of the remaining employees are ass

One-tenth of the employees at a company dinner are vice-presidents, and one-third of the remaining employees are assistant vice-presidents. If there are \(e\) employees in attendance, how many employees in attendance are neither vice-presidents nor assistant vice-presidents? A. \(\dfrac{e}{30}\) B....


Re: At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount.

Official Guide At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer that he had estimated and, consequently, he earned $2 per hour less than his regular hourly rate. What was the time Don had estimated...


Re: The average number of students per class at School X is 25 and the average number of students per class at School Y

The average number of students per class at School X is 25 and the average number of students per class at School Y is 33. Is the average number of students per class for both schools combined less than 29? 1) There are 12 classes in school X. 2) There are more classes in school X than in school Y....


Re: An office comprised of eight employees is planning to have a foosball game. A matchup consists of four players, spli

An office comprised of eight employees is planning to have a foosball game. A matchup consists of four players, split into pairs. If any employee can be paired up with any other employee, then how many unique matchups result? (A) 70 (B) 210 (C) 280 (D) 336 (E) 420 OA B Source: Magoosh Take the task...


Re: How many positive integers less than 10,000 are such that the product of their digits is 210?

How many positive integers less than 10,000 are such that the product of their digits is 210? A. 24 B. 30 C. 48 D. 54 E. 72 OA D Source: Magoosh 210 = (2)(3)(5)(7) We need to consider 3 cases: Case 1 : 4-digit numbers using 2, 3, 5, 7 There are 4 digits, so this can be accomplished in 4 ! (24) ways...


Re: Jackson invested $300,000, dividing it all unequally between Account P and Account Q. At the end of the year, it tur

Magoosh Jackson invested $300,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the f...


Re: Does the average (arithmetic mean) of a, b and c equals c ?

(1) c-a = c + b; 2) c = 0; Target question : Does the average (arithmetic mean) of a, b, and c equal c? This is a good candidate for rephrasing the target question. If the average of a, b, and c equals c, we can write: (a + b + c)/3 = c Multiply both sides of the equation by 3 to get: a + b + c = 3...


Re: When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails re

When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted from each time the player tossed the coin. How many times did heads result? (1) The player tossed the coin 24 times. (2) The player received 3 points each time heads resulted a...