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Re: OG 13 #229

GMAT Official Guide How many of the integers that satisfy the inequality (x+2)(x+3)/x-2 >=0 are less than 5? A) 1 B 2 C 3 D 4 E 5 One approach is to determine the CRITICAL POINTS: the values where the lefthand side is EQUAL TO 0 or is UNDEFINED. The lefthand side is equal to 0 when x=-2 and x=-3. T...

by GMATGuruNY

Tue Mar 08, 2022 11:24 am
Forum: Problem Solving
Topic: OG 13 #229
Replies: 9
Views: 6096

Re: If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)

If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\) (1) \(x > 0\) (2) \(x\) is an integer Case 1: Signs unchanged 12x-3 = 3x+15 9x = 18 x = 2 Case 2: Signs changed in ONE of the absolute values 12x-3 = -3x-15 15x = -12 x = -12/15 = -4/5 Statement 1: x > 0 Since only Case 1 is viable, x=2. SUF...

by GMATGuruNY

Thu Feb 03, 2022 5:50 pm
Forum: Data Sufficiency
Topic: If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)
Replies: 1
Views: 229

Re: If John has exactly 10 coins each of which was minted in 1910, 1920, or 1930, how many of his coins were minted in 1

If John has exactly 10 coins each of which was minted in 1910, 1920, or 1930, how many of his coins were minted in 1920? (1) Exactly 6 of his coins were minted in 1910 or 1920. (2) Exactly 7 of his coins were minted in 1920 or 1930 Statement 1: Since 6 coins were minted in 1910 or 1920 -- and there...


Re: The ratio of boys to girls in Class \(A\) is \(3\) to \(4.\) The ratio of boys to girls in Class \(B\) is \(4\) to \

The ratio of boys to girls in Class \(A\) is \(3\) to \(4.\) The ratio of boys to girls in Class \(B\) is \(4\) to \(5.\) If the two classes were combined, the ratio of boys to girls in the combined class would be \(17\) to \(22.\) If Class \(A\) has one more boy and two more girls than class \(B,\...


Re: All boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additio

All boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional boxes arrived and no boxes were removed, all the boxes in the warehouse were arranged in stacks of 14 boxes each, with no boxes left over. How many boxes were in the warehouse bef...


Re: Working together at their respective constant rates, Tom and Matt made pots. Did Tom take more time than Matt to mak

Working together at their respective constant rates, Tom and Matt made pots. Did Tom take more time than Matt to make 100 pots? 1. Tom takes 4 hours more than Matt to produce twice the number of pots. 2. Tom takes twice the time as Matt to produce thrice the number of pots Question stem, rephrased:...


Re: Gita is 12 years older than Harvey. In 4 years, Gita will be twice as old as Harvey. How old will Harvey be in 3 yea

Magoosh Gita is 12 years older than Harvey. In 4 years, Gita will be twice as old as Harvey. How old will Harvey be in 3 years? A. 5 B. 11 C. 15 D. 19 E. 23 An alternate approach is to PLUG IN THE ANSWERS, which represent Harvey's age in 3 years. When the correct answer is plugged in, Gina in 4 yea...


Re: A palindrome is a number that reads the same forward and backward. For example, 2442 and 111 are palindromes...

GMAT Prep A palindrome is a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1, 2, 3, how many such palindromes are possible? A. 12 B. 15 C. 18 D. 28 E. 27 To read the same forward and backw...


Re: Error in Kaplan 800 - Word Problem # 5

A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in...

by GMATGuruNY

Mon Jan 25, 2021 1:44 pm
Forum: Problem Solving
Topic: Error in Kaplan 800 - Word Problem # 5
Replies: 7
Views: 2457

Re: The sum of the first 50 positive even integers is 2550. What is the sum of even integers from 102 to 200 inclusive?

The sum of the first 50 positive even integers is 2550. What is the sum of even integers from 102 to 200 inclusive? A. 5,100 B. 7,550 C. 10,100 D. 15,500 E. 20,100 For any evenly spaced set: Count = (biggest - smallest)/increment + 1 Average = (biggest + smallest)/2 Sum = (count)(average) In the pr...


Re:

GmatGuruNY You said B incorrectly mixes the subjunctive with the indicative mood. But i find that both the verbs in B ae in subjunctive mood Verb1: suggests that executives examine Verb2: Suggest that they use ...,in deciding Confused :?: Using 'they' after the 'and' is perfectly fine. Can you clar...

by GMATGuruNY

Wed Jan 20, 2021 2:39 pm
Forum: Sentence Correction
Topic: The normative model
Replies: 27
Views: 13852

Re: A patient accusing a doctor of malpractice will find it diff

Asked on another forum: A patient accusing a doctor of malpractice will find it difficult to prove damage if there is a lack of some other doctor to testify about proper medical procedures. (A) if there is a lack of some other doctor to testify (C) without another doctor’s testimony It seems that ch...


Re: 40 employees take 30 days, working

40 employees take 30 days, working at 8 hrs per day, to complete a task. 40 employees start the work but after 10 days, 20 leave and are replaced by employees who are 1/2 as productive. How many hours per day should the new team work if the work has to be completed in the scheduled timeline? 1. 12 ...

by GMATGuruNY

Wed Jan 20, 2021 2:20 pm
Forum: Problem Solving
Topic: 40 employees take 30 days, working
Replies: 3
Views: 901

Re: 10 children have ordered a total of 17 hamburgers, and

10 children have ordered a total of 17 hamburgers, and each child has ordered at least one hamburger. Has any child ordered more than 3 hamburgers? (1) Exactly two children have ordered three hamburgers each. (2) No child has ordered exactly two hamburgers. Statement 1: Two children A and B with 3 ...

by GMATGuruNY

Wed Jan 20, 2021 2:13 pm
Forum: Data Sufficiency
Topic: 10 children have ordered a total of 17 hamburgers, and
Replies: 2
Views: 721

Re: There were 5 candidates (Alexa, Bill, Charlie, Dan, and Erni

When you post a problem, please include the answer choices. There were 5 candidates (Alexa, Bill, Charlie, Dan, and Ernie) vying for student council, and 100 total votes were cast. Everyone received at least one vote, and no two candidates received the same number of votes. Alexa won the election wi...

by GMATGuruNY

Wed Jan 20, 2021 1:38 pm
Forum: Problem Solving
Topic: There were 5 candidates (Alexa, Bill, Charlie, Dan, and Erni
Replies: 12
Views: 3266