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If \(y = 30p,\) and \(p\) is prime, what is the greatest common factor of \(y\) and \(14p,\) in terms of \(p?\)

If \(y = 30p,\) and \(p\) is prime, what is the greatest common factor of \(y\) and \(14p,\) in terms of \(p?\)

A. \(p\)
B. \(2p\)
C. \(5p\)
D. \(7p\)
E. \(p^2\)

Answer: B

Source: Manhattan GMAT


Is \(|x - 6| > 2?\)

Is \(|x - 6| > 2?\)

1. \(|x - 4| > 3\)
2. \(|x - 8| > 1\)

Answer: C

Source: Magoosh

by Gmat_mission

Fri Jan 28, 2022 9:54 am
Forum: Data Sufficiency
Topic: Is \(|x - 6| > 2?\)
Replies: 0
Views: 266

A club sold an average (arithmetic mean) of 92 raffle tickets per member. Among the female members, the average number

A club sold an average (arithmetic mean) of 92 raffle tickets per member. Among the female members, the average number sold was 84, and among the male members, the average number sold was 96. What was the ratio of the number of male members to the number of female members in the club? (A) 1 : 1 (B) ...


If \(p, q,\) and \(r\) are integers, is \(p+q+r> 0 ?\)

If \(p, q,\) and \(r\) are integers, is \(p+q+r> 0 ?\)

(1) \(p + r = q\)

(2) \(r^2 < -q\)

Answer: C

Source: Manhattan GMAT

by Gmat_mission

Fri Jan 28, 2022 8:46 am
Forum: Data Sufficiency
Topic: If \(p, q,\) and \(r\) are integers, is \(p+q+r> 0 ?\)
Replies: 0
Views: 215

\(\left(\dfrac12\right)^{-3}\left(\dfrac14\right)^{-2}\left(\dfrac1{16}\right)^{-1}=\)

\(\left(\dfrac12\right)^{-3}\left(\dfrac14\right)^{-2}\left(\dfrac1{16}\right)^{-1}=\) (A) \(\left(\dfrac12\right)^{-48}\) (B) \(\left(\dfrac12\right)^{-11}\) (C) \(\left(\dfrac12\right)^{-6}\) (D) \(\left(\dfrac18\right)^{-11}\) (E) \(\left(\dfrac18\right)^{-6}\) Answer: B Source: Official Guide


What is the average (arithmetic mean) of \(x, y,\) and \(z?\)

What is the average (arithmetic mean) of \(x, y,\) and \(z?\)

(1) \(x + y = 5\)

(2) \(y + z = 7\)

Answer: E

Source: GMAT Paper Tests


On Tuesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequ

On Tuesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, swe...


If \(x\) is an integer, is \((x^2 + 1)(x + 5)\) an even number?

If \(x\) is an integer, is \((x^2 + 1)(x + 5)\) an even number?

(1) \(x\) is an odd number.

(2) Each prime factor of \(x^2\) is greater than \(7.\)

Answer: D

Source: GMAT Prep


If the crime rate in a certain region dropped by 28% last year to a rate of 500 crimes per 100,000 citizens, what was

If the crime rate in a certain region dropped by 28% last year to a rate of 500 crimes per 100,000 citizens, what was the approximate rate before the drop? A. 500 crimes per 128,000 citizens B. 640 crimes per 128,000 citizens C. 695 crimes per 128,000 citizens D. 640 crimes per 100,000 citizens E. 6...


If \(x\) and \(y\) are positive integers, is \(x^{16} - y^8 + 345y^2\) divisible by \(15?\)

If \(x\) and \(y\) are positive integers, is \(x^{16} - y^8 + 345y^2\) divisible by \(15?\)

(1) \(x\) is a multiple of \(25,\) and \(y\) is a multiple of \(20.\)
(2) \(y = x^2\)

Answer: B

Source: GMAT Club Tests


The figure above shows \(2\) circles. The larger circle has center \(A,\) radius \(R\, \text{cm},\) and is inscribed in

2019-09-21_1753.png The figure above shows \(2\) circles. The larger circle has center \(A,\) radius \(R\, \text{cm},\) and is inscribed in a square. The smaller circle has center \(C,\) radius \(r \,\text{cm},\) and is tangent to the larger circle at point \(B\) and to the square at points \(D\) a...


A music festival took place over two days, Saturday and Sunday. What percent of attendees only attended on Saturday?

A music festival took place over two days, Saturday and Sunday. What percent of attendees only attended on Saturday?

(1) \(40\%\) of attendees attended both days.

(2) \(70\%\) of attendees attended on Sunday.

Answer: B

Source: Veritas Prep


The probability that Maria will eat breakfast on any given day is 0.5. The probability that Maria will wear a sweater on

The probability that Maria will eat breakfast on any given day is 0.5. The probability that Maria will wear a sweater on any given day is 0.3. The two probabilities are independent of each other. What is the probability that Maria eats breakfast or wears a sweater? A. 0.15 B. 0.35 C. 0.65 D. 0.75 E....


Events \(A\) and \(B\) are independent and have equal probabilities of occurring. What is the probability that event

Events \(A\) and \(B\) are independent and have equal probabilities of occurring. What is the probability that event \(A\) occurs? (1) The probability that at least one of events \(A\) and \(B\) occurs is \(0.84.\) (2) The probability that event \(B\) occurs and event \(A\) does not is \(0.24.\) Ans...