In a shipment of 20 cars, 3 are found to be defective. If four cars are selected at random, what is the probability that exactly one of the four will be defective?
- (E) 4/5
- (D) 3/5
- (C) 8/19
- (A) 170/1615
- (B) 3/20
0 voters
A certain bag of gemstones is composed of two-thirds diamonds and one-third rubies. If the probability of randomly selecting two diamonds from the bag, without replacement, is 5/12, what is the probability of selecting two rubies from the bag, without replacement?
Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9 competitors in the triathlon and medals are awarded for first, second, and third place, what is the probability that at least two of the triplets will win a medal?
Set S is the set of all prime integers between 0 and 20. If three numbers are chosen randomly from set S and each number can be chosen only once, what is the positive difference between the probability that the product of these three numbers is a number less than 31 and the probability that the sum of these three numbers is odd?
A random 10-letter code is to be formed using the letters A, B, C, D, E, F, G, H, I and I (only the "I" will be used twice). What is the probability that a code that has the two I's adjacent to one another will be formed?
Angela’s grade was in the 90th percentile out of 80 grades in her class. In another class of 100 students there were 19 grades higher than Angela’s. If nobody had Angela’s grade, then Angela was what percentile of the two classes combined?
If the product of all the unique positive divisors of n, a positive integer which is not a perfect cube, is n^2 , then the product of all the unique positive divisors of n^2 is
(A) n^3
(B) n^4
(C) n^9
(D) n^5
(E)n^6
If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest value of n?
A. 1
B. 2
C. 3
D. 4
E. 5
If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative integers, what is the greatest possible value of |x - y|?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
How many positive integers less than 30 are either a multiple of 2, an odd prime number, or the sum of a positive multiple of 2 and an odd prime?
(A) 29
(B) 28
(C) 27
(D) 25
(E) 23
x is the sum of y consecutive integers. w is the sum of z consecutive integers. If y = 2z, and y and z are both positive integers, then each of the following could be true EXCEPT
A. x = w
B. x > w
C. x/y is an integer
D. w/z is an integer
E. x/z is an integer
How many numbers that are not divisible by 6 divide evenly into 264,600?
(A) 9
(B) 36
(C) 51
(D) 63
(E) 72
How many positive integers less than 10,000 are there in which the sum of the digits equals 5?
(A) 31
(B) 51
(C) 56
(D) 62
(E) 93
For Gmat quants is it a good idea to refer arun sharma quants? If yes till which old?any other other book for Gmat quants?
Hi, GMAT aspirants from Kolkata can discuss interview strategies here
http://www.pagalguy.com/discussions/gmat-interview-prep-group-kolkata-based-34497976
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by three when k is any of the following
values EXCEPT
If x is an integer, what is the value of x?
1) x^2 - 4x + 3
2) |2x - 4|
Is there an easier solution than this one?
http://www.gmatprepnow.com/module/gmat-algebra-and-equation-solving/video/987
If x is an integer, what is the value of x?
1) x^2 - 4x + 3 less than 0
2) |2x - 4| less than 1
Is there an easier solution than this one?
http://www.gmatprepnow.com/module/gmat-algebra-and-equation-solving/video/987
At a certain school, 40% of the students play rugby and play chess. If 40% of the students who play rugby do not play chess, what percent of the students play rugby?
A) 60
B) 66 2/3
C) 72
D) 75
E) 80
Answer is here -
http://www.gmatprepnow.com/module/gmat-word-problems/video/946
I learned how to solve these with a venn diagram but this course uses something called a double matrix, which seems like a long solution. Can anyone explain how to solve it with a venn diagram/
If P is the product of all even integers from 2 to 20 inclusive, what is the greatest integer n such that 2^n is a divisor of P?
A) 10
B) 14
C) 16
D) 18
E) 20
The solution (here
http://www.gmatprepnow.com/module/gmat-integer-properties/video/827 ) seems long. I thought I saw someone post a formula for solving this kind of question. Anyone know of one?