Various latest topics from GMAT Club Forum

Is the value of x less than 0?

(1) The product of x and y is negative.
(2) The difference between x and its reciprocal is positive.

If w and k are distinct positive integers, do they have any common divisors other than 1 ?

(1) k w = 3w
(2) k and w are even.

Set B contains all factors and multiples of 20. If x is divisible by 20, then x must also be divisible by how many members of set B?

A. 4
B. 5
C. 6
D. 10
E. 20

If 3 < x < 7, Which of the following must be true?

(A) 10 \(<=\) \(x^2\) \(<=\) 48
(B) 10 < \(x^2\) < 48
(C) 9.0001 < \(x^2\) < 48.9999
(D) -100 < \(x^2\) < 100
(E) 10 < \(x^2\) < 49

Kudos for correct solutions

Number N is randomly selected from a set of consecutive integers between 50 and 69, inclusive. What is the probability that N will have the same number of factors as 89?

a) 1/2
b 1/5
c) 0
d) 1/3
e) 1/4

Please help with this problem.

If the number 13 completely divides \(x\), and \(x = a^2 * b\), where a and b are distinct prime numbers, which of these numbers must be divisible by 169?
A)\(a^2\)
B)\(b^2\)
C)\(a*b\)
D)\(a^2*b^2\)
E)\(a^3*b\)

If p is an integer and p>1,is p a prime number?
A)p has p factors.
B)p is a factor of 26.

If a and b are integers, is (ab+2)(ab+3)(ab+4) divisible by 12?

1) a=even
2) b=odd

The probability which event E occurs is 0.7 and the probability which event F occurs is 0.3. When event E and event F are independent, what is the range including the probability that neither E occurs nor F occurs?

A. 0.01~0.1
B. 0.1~0.2
C. 0.2~0.4
D. 0.4~0.6
E. 0.6~0.8

If x and n are integers such that x = 1^1 + 2^2 + 3^3 + . . . + n^n, what is the remainder when x is divided by 5?

(1) n has a value of either 6 or 12.
(2) n is a multiple of 6.

Is x an integer greater than 1?

(1) The cube of x is an positive integer.
(2) The reciprocal of x is less than 1.

Is k^2 a prime number?

(1) k is an integer.
(2) k^2 1 < 0

If x and y are integers, is xy divisible by x^2?

(1) x divides into y^2 with no remainder.
(2) x is a prime.

How many odd numbers are there between m and n?

(1) m n = 9
(2) 15m 15n = 135

In a bowl of marbles, 8 are yellow, 6 are blue, and 4 are black. If Michelle picks 2 marbles out of the bowl at random and at the same time, what is the probability that at least one of the marbles will be yellow?

(A) 5/17

(B) 12/17

(C) 25/81

(D) 56/81

(E) 4/9

For how many integer values of x, is |x 3| + |x + 1| + |x| < 10?

(A) 0

(B) 2

(C) 4

(D) 6

(E) Infinite

For how many integer values of x, is |x 6| > |3x + 6|?

(A) 1

(B) 3

(C) 5

(D) 7

(E) Infinite

For how many integer values of x, is |x 8| + |5 x| > |x + 7|?

(A) 1

(B) 3

(C) 5

(D) 7

(E) Infinite

P = the product of all x-values that satisfy the equation (x)^(x - 2x + 1) = x^(3x + x + 8)
Which of the following is true?

A) P < -14
B) -14 P < -4
C) -4 P < 4
D) 4 P < 14
E) 14 P

*kudos for all correct solutions

If x > 4, is \(\frac{5x - 2}{10 - 3x} > -2\)?

1) x > 20
2) x < 40

* kudos for all correct solutions

Is the value of x less than 0?

If w and k are distinct positive integers, do they have any common div

Set B contains all factors and multiples of 20. If x is divisible by

If 3 < x < 7, Which of the following must be true?

Number N is randomly selected from a set of consecutive integers betwe

If the number 13 completely divides x, and x = a2 * b, where a and b

If p is an integer and p>1,is p a prime number? A)p has p factors.

If a and b are integers, is (ab+2)(ab+3)(ab+4) divisible by 12?

The probability which event E occurs is 0.7 and the probability which

If x and n are integers such that x = 1^1 + 2^2 + 3^3 + . . . + n^n,

Is x an integer greater than 1?

Is k^2 a prime number?

If x and y are integers, is xy divisible by x^2?

How many odd numbers are there between m and n?

In a bowl of marbles, 8 are yellow, 6 are blue, and 4 are black. If

For how many integer values of x, is |x 3| + |x + 1| + |x| < 10?

For how many integer values of x, is |x 6| > |3x + 6|?

For how many integer values of x, is |x 8| + |5 x| > |x + 7|?

P = the product of all x-values that satisfy the

If x > 4, is (5x - 2)/(10 - 3x) > -2?