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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...


If \(a\) and \(b\) represent positive single digits in the correctly worked computation above, what is the value of the

\(22\)
\(a3\)
\(+4b\)
___
\(90\)

If \(a\) and \(b\) represent positive single digits in the correctly worked computation above, what is the value of the two-digit integer \(ba?\)

A. 10
B. 15
C. 25
D. 51
E. 52

Answer: E

Source: Manhattan GMAT


If each term in an infinite sequence is found by the equation \(S_x=8^x-6,\) and \(S_1=2,\) is every term in the sequenc

If each term in an infinite sequence is found by the equation \(S_x=8^x-6,\) and \(S_1=2,\) is every term in the sequence divisible by \(y?\)

(1) \(y\) is an even integer.

(2) At least \(2\) of the first \(4\) terms in the sequence are divisible by \(y.\)

Answer: B

Source: Veritas Prep


Three friends divided a bag of chocolates so that David received a fifth of the number of chocolates that Fouad did, and

Three friends divided a bag of chocolates so that David received a fifth of the number of chocolates that Fouad did, and Stina received 80 percent of the total number of chocolates. What is the ratio of the number of chocolates Stina received to the number that David received? (A) \(4 : 3\) (B) \(8 ...


What is the value of the positive integer \(m?\)

What is the value of the positive integer \(m?\)

(1) When \(m\) is divided by \(6,\) the remainder is \(3.\)
(2) When \(15\) is divided by \(m,\) the remainder is \(6.\)

Answer: B

Source: GMAT Prep

by Gmat_mission

Sun Jan 23, 2022 1:22 am
Forum: Data Sufficiency
Topic: What is the value of the positive integer \(m?\)
Replies: 1
Views: 41

If \(a^2b > 1\) and \(b < 2,\) which of the following could be the value of \(a?\)

If \(a^2b > 1\) and \(b < 2,\) which of the following could be the value of \(a?\)

A. \(\dfrac12\)

B. \(\dfrac14\)

C. \(-\dfrac12\)

D. \(-2\)

E. \(\dfrac23\)

Answer: D

Source: Manhattan GMAT


How many men are in a certain company's vanpool program?

How many men are in a certain company's vanpool program?

(1) The ratio of men to women in the program is 3 to 2.
(2) The men and women in the program fill 6 vans.

Answer: E

Source: Official Guide

by Gmat_mission

Sun Jan 23, 2022 1:16 am
Forum: Data Sufficiency
Topic: How many men are in a certain company's vanpool program?
Replies: 1
Views: 49

If \(a < 0\) and \(b < c,\) which of the following must be true?

If \(a < 0\) and \(b < c,\) which of the following must be true?

(A) \(ab < c\)
(B) \(ac > b\)
(C) \(ab > 0\)
(D) \(ac < 0\)
(E) \(ab > ac\)

Answer: E

Source: Manhattan GMAT