Various latest topics from GMAT Club Forum

When positive integer W is divided by 4233, the remainder is 61. What is the remainder when 2W is divided by 83?

A) 11
B) 12
C) 39
D) 44
E) 61

*kudos for all correct solutions

Each of 5 ping pong balls is labelled with a different number from 1 to 5. If three of the balls are selected at random, what is the probability that the median of the numbers on the selected balls is 3?

A)1
B)3/5
C)2/5
D)24/125
E)1/5

Jonathan would like to visit one of the 12 gyms in his area. If he selects a gym at random, what is the probability that the gym will have both a swimming pool and a squash court?

(1) All but 2 gyms in the area have a squash court.
(2) Each of the 9 gyms with a pool has a squash court.

Please help with this problem.

If N = \(2^2 * 3^3 * 5^5\),how many factors of N are divisible by 5 but not divisible by 3.
A)10
B)15
C)18
D)24
E)72

Source->Self-made

What is the remainder when integer n is divided by two?

(1) When n is divided by 3, the remainder is odd.
(2) When n is divided by 4, the remainder is odd.

What is the remainder when integer n is divided by two?

(1) When n is divided by 3, the remainder is odd.
(2) When n is divided by 5, the remainder is odd.

If n is a positive integer with k digits, what is the value of n?

(1) k = n
(2) k < 2

If x = a!, which of the following values of positive integer a is the least possible value for which the last 8 digits of the integer x will all be zero?

A. 21
B. 29
C. 38
D. 40
E. 100

If m, j, and k are integers, is k < mj?

(1) kmj = 1
(2) mj is positive.

Let a and b be digits. What is the sum b.aaa + a.bbb?

(1) a + b = 10
(2) a = b

What is the remainder when integer n is divided by two?

(1) When n is divided by 5 the remainder is even.
(2) When n is divided by 4 the remainder is even.

What is the probability that a number selected from (-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10) can fulfill (x-5)(x+10)(2x-5)=0?
a) 1/12
b) 1/6
c) 1/4
d) 1/3
e) 1/2

Please help with this problem.
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How many positive factors does positive integer \(N\) have?
1) \(N^2\) has three positive factors
2) \(2N\) has four positive factors

In the playlist below are a few short combined-work videos I made for my students. In the first four videos, I introduce three reliable tools with which to attack combined work questions. In the remaining videos I use those tools to solve all the combined work questions in the Official Guide.

You can find the playlist here: https://www.youtube.com/watch?v=GAOel-nd85s&list=PLDrD0rRwtGtoUa2mIkVtC2bTbTHvt40S0

If you're struggling with combined work, or if you're completely new to the q-type, I recommend that you:
1. Watch the first four videos
2. Try the Combined Work questions from the official guide on your own (in OG 2017: 65, 85, 96, 114, 179, 238, 328)
3. Watch the videos for the OG questions you struggled with.

The videos are not meant to be viewed passively. Pause them to try questions or parts of questions on your own. Skip ahead when the video is covering a concept or part of a question you've already mastered (I try to change colors at important parts of the question to make skipping ahead easier).

Feedback on the videos would be much appreciated.

A box contains 1 blue ball, 1 green ball, 1 yellow ball, and 2 red balls.
Three balls are randomly selected (one after the other) without replacement.
What is the probability that the 2nd ball is NOT red and the 3rd ball is yellow?

A) 1/30
B) 1/20
C) 1/10
D) 3/20
E) 1/5

* Kudos for all correct solutions

A box contains 1 blue ball, 1 yellow ball, and 2 red balls.
Three balls are randomly selected (one after the other) without replacement.
What is the probability that the 2nd ball is yellow or the 3rd ball is NOT yellow?

A) 1/2
B) 3/4
C) 5/6
D) 11/12
E) 1

Is n an even?

1) 3n=even
2) 5n=even

Which of the following options is the smallest

A. -33%
B. -3/10
C. -1/3
D. -0.3333
E. -0.333

How many divisors does the positive integer \(N\) have?

A) \(27N^3\) has 16 factors.
B) \(90<N^3<200\)

Source->Self-Made

When positive integer W is divided by 4233

Probability Problem

Jonathan would like to visit one of the 12 gyms in his area. If he sel

If N = [m]2^2 x 3^3 x 5^5[/m],How many factors of N are divisible by 5

What is the remainder when integer n is divided by two?

What is the remainder when integer n is divided by two?

If n is a positive integer with k digits, what is the value of n?

If x = a!, which of the following values of positive integer a is the

If m, j, and k are integers, is k < mj?

Let a and b be digits. What is the sum b.aaa + a.bbb?

What is the remainder when integer n is divided by two?

What is the probability that a number selected from (-10, -6, -5, -4,

How many positive factors does positive integer N have? 1) N^2 has

Three Strategies for Combined Work Questions

A box contains 1 blue ball, 1 green ball, 1 yellow ball

A box contains 1 blue ball, 1 yellow ball,

Is n an even?

Which of the following options is the smallest

How many divisors does the positive integer N have?

If p is a positive integer, is 2p + 1 prime? (1) p is prime (2) units