GMAT Preparation by Emran

OG21

Level 700

What is the probability that a number chosen between 1 to 15000 both included has exactly 3 factors.

A. 7/3000
B. 1/500
C. 1255/15000
D. 1369/15000
E. None of these

Different letters represent different digits and none of the letters is 0. What is the product of A, L and I?

A. 48
B. 54
C. 80
D. 126
E. 144

How many three digit numbers greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?

A. 72
B. 48
C. 120
D. 96
E. 76

Among the computers at a store, 55 have a hard drive with at least 1 terabyte capacity, and 40 have at least a 3.2-gigahertz CPU. If the total number of computers exceeds 100, and 20 of the computers have neither a hard drive with 1-terabyte or greater capacity nor a CPU of 3.2 gigahertz or greater, which of the following could be the number of computers that have both a 1-terabyte or greater hard drive and a 3.2-gigahertz or greater CPU?

I. 10
II. 15
III. 20

A. I only
B. II only
C. III only
D. I and II
E. II and III

A bag contains ten marbles of the same size: 3 are identical green marbles, 2 are identical red marbles, and the other 5 are five distinct colors. If 5 marbles are selected at random, how many distinct combinations of five marbles could be drawn?
(A) 41
(B) 51
(C) 62
(D) 72
(E) 82

How many three-digit numbers contain three primes that sum to an even number?

A. 27
B. 28
C. 54
D. 55
E. 64

Which of the following could be a factor of both 2x+1 and 4x-50 for some integer x?

(A) 2

(B) 3

(C) 7

(D) 13

(E) 19

A four digit number using the digits 3,4,6 and 7 without repetition is formed.All the possible numbers so formed are added and the sum is equal to P, which of the following is the value of P?

A.133200
B.123320
C.133220
D.133320
E.None of these.