Search found 15 matches


RE: m, n and 2/m+3/n are positive integers. What is the valu

Statement 1: Option 1 - M =2, N = 3 - 2/M + 3/N = 1 + 1 = 2 - MN = 2 * 3 = 6 Option 2 - M = 5, N = 5 - 2/M + 3/N = .4 + .6 = 1 - MN = 5 * 5 = 25 Since we can get two values for MN that satisfy the statement it's INSUFFICIENT Statement 2: - Possible values for M ====> 1 & 2 - possible values for N ==...

by arosman

Mon Mar 25, 2019 11:22 am
Forum: Data Sufficiency
Topic: m, n and 2/m+3/n are positive integers. What is the value of
Replies: 2
Views: 388

The length of arc AXB is twice the length of arc BZC, and

The key to finding arc length is to find the value of the CENTRAL angle. That is because the arc length will always be proportional to the central angle. If you can find the value of an inscribed angle you can always find the value of the central angle and vice versa. Central angle = 2 * inscribed a...

by arosman

Mon Mar 25, 2019 11:10 am
Forum: Problem Solving
Topic: The length of arc AXB is twice the length of arc BZC, and
Replies: 1
Views: 443

y = .25x + 4

Therefore y/x = (.25x+4)/x

To get rid of the decimal I will multiply entire thing by 4/4 ------> y/x = (x+16)/4x

Answer: C

by arosman

Wed Jun 27, 2018 11:30 am
Forum: Problem Solving
Topic: If y is 4 greater than one-fourth of x, and
Replies: 3
Views: 623

1) The only combinations of positive prime numbers that add to 12 are 7 & 5. This gives us two scenarios Scenario 1: - x = 7 people - y = 5 chairs Total combos = 7 * 6 * 5 * 4 * 3 = 2520 Scenario 2: - x = 5 people - y = 7 chairs Even though there are only 5 people there are actually 7 options for wh...

by arosman

Wed Jun 20, 2018 2:39 pm
Forum: Data Sufficiency
Topic: Permutations/Combinations
Replies: 1
Views: 450

Edit

Since area = pi * r^2 we can rephrase this question as: What is the radius OM = OR = OS = ON? 1) MN is perpendicular to RS. - This tells us MOT is a right triangle but without more info isn't going to help us find the radius -----> INSUFFICIENT 2) The area of triangular region OMT is 4. - Doesn't he...

by arosman

Wed Jun 20, 2018 2:11 pm
Forum: Data Sufficiency
Topic: What is the area of the circular region with center O?
Replies: 1
Views: 568

Remainder problems often have a pattern to them. Name of the game is then find the pattern.

1/5 = 0R1
2/5 = 0R2
3/5 = 0R3
4/5 = 0R4
5/5 = 1R0
6/5 = 1R1
7/5 = 1R2
Etc.....................

Each cycle has a sum of 0+1+2+3+4 = 10. We have 6 cycles ---------> 10 * 6 = 60

Answer: C

by arosman

Wed Jun 20, 2018 1:43 pm
Forum: Problem Solving
Topic: What is the sum of the remainders when the first 30 positive
Replies: 3
Views: 591

answer

n is an integer strictly between 10 and 20. What is the value of n? 1) The tens digit of n^2 is 2. 2) The hundreds digit of n^2 is 3. statement 1) The range of values for $$n^2$$ based on the given info is 100 < n $$n^2$$ < 400. So $$n^2$$ can be any perfect square between 100 & 400 Let's start find...

by arosman

Wed Jun 20, 2018 12:06 pm
Forum: Data Sufficiency
Topic: n is an integer strictly between 10 and 20. What is the valu
Replies: 2
Views: 534

Question

I would say choose smart numbers. The key is having a strategy for the numbers you choose. You should be actively be trying to prove INSUFFICIENCY when you're testing numbers because then you only need two examples to answer the question - one "yes" scenario and one "no" scenario. Only if you can't ...

by arosman

Wed Jun 20, 2018 11:46 am
Forum: Data Sufficiency
Topic: Between 1980 and 1985, Pierre’s investment portfolio
Replies: 2
Views: 626

answer

Which of the following is always correct? A. If 1/x is greater than x, x^2 is greater than x B. If 1/x is greater than x, x is greater than x^2 C. If x^2 is greater than x, x^3 is greater than x^2 D. If x^3 is greater than x^2, x^4 is greater than x^3 E. If x^4 is greater than x^3, x^5 is greater t...

by arosman

Wed Jun 20, 2018 11:00 am
Forum: Problem Solving
Topic: Which of the following is always correct?
Replies: 2
Views: 502

Let's say the digits are represented as "a" and "b" N = ab M = ba Algebraically this translates to: N = 10a + b M = 10b + a Statement 1) I just did this by testing numbers Possible combos are: N = 87, M = 78 ---> N - M = 0 ----> WORKS N = 78, M = 87 ----> N - M = -9 ---> DOESN'T WORK N = 96, M = 69 ...

by arosman

Wed Jun 20, 2018 10:36 am
Forum: Data Sufficiency
Topic: Challenge question: N is a 2-digit integer. When the di
Replies: 2
Views: 585

[GMAT math practice question] If m and n are integers greater than 1, is m^n>500? 1) n>8 2) n>4m 1) The minimum m^n could be is 2^9 which is 512. Therefore, m^n will always be greater than 500. ----> SUFFICIENT 2) Minimum m = 2 minimum n = 9 This is same info we got from statement 1 -----> SUFFICIE...

by arosman

Wed Jun 20, 2018 10:10 am
Forum: Data Sufficiency
Topic: If m and n are integers greater than 1, is m^n>500?
Replies: 3
Views: 594

answer

Just to make things organized I broke down 1-500 into 5 sets: [1-99] ------> 3, 13, 23, 43, 53, 63, 73, 83, 93 + 30-39 ------------> 9 + 10 = 19 numbers [100 - 199) -----> 103, 113, 123.....193 --------> 10 numbers [ 200 - 299] ----> 203, 213, 223.....293 -------> 10 numbers [300 - 399] --------> Al...

by arosman

Wed Jun 20, 2018 10:04 am
Forum: Problem Solving
Topic: Challenge: How many positive integers less than 500 begin
Replies: 2
Views: 993

Question

Original Cost: C
Sale Price: 1.25C
Gains before taxes: 1.25C - C = .25C

Taxes: .25C * .5 = (1/4) * C * (1/2) ------> C/8

Answer: B

by arosman

Wed Jun 20, 2018 9:40 am
Forum: Problem Solving
Topic: A house cost Ms. Jones C dollars in 1965. Three years
Replies: 5
Views: 796