### If x and y are positive integers such that y

If x and y are positive integers such that y is a multiple of 5 and 3x + 4y = 200, then x must be a multiple of which of the following? GMAT Explanation If x and y are positive integers such that y is a multiple of 5 and 3x + 4y = 200,

### The product of all the prime numbers less than 20

The product of all the prime numbers less than 20 is closest to which of the following powers of 10? GMAT Explanation, Video Solution, and More Practice! The product of all the prime numbers less than 20 is closest to which of the following powers of 10? (A) 10^9 (B) 10^8 (C) 10^7 (D) 10^6

### (0.99999999/1.0001)−(0.99999991)/1.0003 =

(0.99999999/1.0001) − (0.99999991)/1.0003 GMAT Explanation, Video Solution, and Additional Practice! (0.99999999/1.0001) − (0.99999991)/(1.0003) = (A) 10^(−8) (B) 3∗10^(−8) (C) 3∗10^(−4) (D) 2∗10^(−4) (E) 10^(−4) Give it a shot on your own and then you can reference the explanation and video solution. Good luck! This is a tough GMAT exponents puzzle from the GMAT Official Guide.

### Working simultaneously at their respective constant

Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in y hours. In terms of x and y, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?

### A researcher plans to identify each participant in a certain medical experiment

A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different

### If p is the product of the integers from 1 to 30

If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p? GMAT Explanation If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of

### During a trip, Francine traveled x percent of the total distance

During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine’s average speed for the entire trip? GMAT Explanation, Video Solution, and More Practice!

### Last Sunday a certain store sold copies of Newspaper A

Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold

### Club X has more than 10 but fewer than 40 members GMAT Explanation

Club X has more than 10 but fewer than 40 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they

### How many of the integers that satisfy the inequality (x+2)(x+3)/(x−2) ≥ 0

How many of the integers that satisfy the inequality (x+2)(x+3)/(x−2) ≥ 0 are less than 5? GMAT Explanation 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 If you start doing the algebra, working the inequality/quadratic, this can