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Number Properties

Number Properties

The average (arithmetic mean) of 5 distinct, single digit integers is 5. If two of the integers are discarded, the new average is 4. What is the greatest of these integers?

1) Exactly 3 of the integers are consecutive primes
2) The least integer is 3

The OA is D

Source: Princeton Review

by swerve

Thu Jun 17, 2021 7:09 am
Forum: Data Sufficiency
Topic: Number Properties
Replies: 0
Views: 13

Percent And Interest Problems

Percent And Interest Problems

To determine her state income tax last year, Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100, and subtracted$50 for each dependent that she claimed. If Elena's gross income was \$34,500 and she claimed 2 dependents, how much did she determine her s...

by swerve

Thu Jun 17, 2021 7:03 am
Forum: Problem Solving
Topic: Percent And Interest Problems
Replies: 1
Views: 16

Work/Rate Problems

Work/Rate Problems

A small water pump would take 2 hours to fill an empty tank. A larger pump would take 1/2 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time? A. 1/4 B. 1/3 C. 2/5 D. 5/4 E. 3/2...

by swerve

Thu Jun 17, 2021 6:55 am
Forum: Problem Solving
Topic: Work/Rate Problems
Replies: 0
Views: 9

In the figure below, a square is inscribed in a circle. If the area of the square region is 16, what is the area of the

Re: In the figure below, a square is inscribed in a circle. If the area of the square region is 16, what is the area of

square-in-circle.png In the figure below, a square is inscribed in a circle. If the area of the square region is 16, what is the area of the circular region? (A) 2π (B) 4π (C) 8π (D) 12π (E) 16π OA C Source: GMAT Prep The radius of the circle is $$\dfrac{1}{2}$$ diameter Here the diagonal of the sq...

For any positive integer $$n$$ greater than $$1, n!$$ denotes the product of all the integers from $$1$$ to $$n,$$ inclu

Re: For any positive integer $$n$$ greater than $$1, n!$$ denotes the product of all the integers from $$1$$ to $$n,$$ i

For any positive integer $$n$$ greater than $$1, n!$$ denotes the product of all the integers from $$1$$ to $$n,$$ inclusive. If $$A$$ is a positive integer such that the greatest number that divides both $$A^3$$ and $$13!$$ is $$448,$$ which of the following can be the value of $$A?$$ A. 14 B. 56 ...

At a certain committee meeting only associate professors and assistant professors are present. Each associate professor

Re: At a certain committee meeting only associate professors and assistant professors are present. Each associate profes

At a certain committee meeting, only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 11 charts have been brought to th...

Word Problems

Word Problems

If Alyssa is twice as old as Brandon, by how many years is Brandon older than Clara?

1) Four years ago, Alyssa was twice as old as Clara is now
2) Alyssa is 8 years older than Clara

The OA is A

Source: Veritas Prep

by swerve

Wed Jun 09, 2021 9:50 am
Forum: Data Sufficiency
Topic: Word Problems
Replies: 1
Views: 36

Word Problems

Word Problems

Ralph is giving out Valentine's Day cards to his friends. Each friend gets the same number of cards and no cards were leftover. If each friend gets at least one card, was the number of cards received by each friend more than one? 1) Ralph has 40 Valentine's Day cards to give out 2) If the number of ...

by swerve

Wed Jun 09, 2021 9:45 am
Forum: Data Sufficiency
Topic: Word Problems
Replies: 1
Views: 33

Distance/Rate Problems

Distance/Rate Problems

Two dogsled teams raced across a $$300$$-mile course in Wyoming. Team $$A$$ finished the course in $$3$$ fewer hours than team $$B.$$ If team $$A$$'s average speed was $$5$$ mph greater than team $$B$$'s, what was team $$B$$'s average speed in mph? A. 12 B. 15 C. 18 D. 20 E. 25 The OA is D Source: G...

by swerve

Wed Jun 09, 2021 9:36 am
Forum: Problem Solving
Topic: Distance/Rate Problems
Replies: 0
Views: 42

Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members

Re: Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the member

Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no member speaks all three languages, how many of the members speak two of the three languages? (1) 60 of the members speak only English. (2) 20 of the member...

Positive integer A > 10,000 and B > 20,000. When A is divided by 237, the remainder is 85. When B is divided by 237, the

Re: Positive integer A > 10,000 and B > 20,000. When A is divided by 237, the remainder is 85. When B is divided by 237,

Positive integer A > 10,000 and B > 20,000. When A is divided by 237, the remainder is 85. When B is divided by 237, the remainder is 41. What is the remainder when (2A + 3B) is divided by 237? a)0 b)56 c)123 d)170 e)211 OA B Source: Magoosh It doesn’t matter what the values of $$A$$ and $$B$$ are....

In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and

Re: In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's a

In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year? (1) Jim's annual sa...

Walking at $$60\%$$ of his usual speed a man takes $$24$$ minutes more to cover a distance. What is his usual time to

Re: Walking at $$60\%$$ of his usual speed a man takes $$24$$ minutes more to cover a distance. What is his usual time t

Walking at $$60\%$$ of his usual speed a man takes $$24$$ minutes more to cover a distance. What is his usual time to cover this distance? A. 30 B. 36 C. 42 D. 48 E. 54 Answer: B Source: GMAT Club Tests Speed is inversely proportional to time Walking at 60% of speed means $$\dfrac{3}{5}s$$ takes $$... Statistics And Sets Problems Data Sufficiency Statistics And Sets Problems In a certain first grade classroom, the average height is \(x$$ inches for the $$5$$ girls and $$y$$ inches for the $$8$$ boys. What is the average height for the $$13$$ students in the classroom combined?

1) $$15x+24y=1755$$
2) $$x < 40$$

The OA is A

Source: Veritas Prep

by swerve

Wed Jun 02, 2021 3:47 pm
Forum: Data Sufficiency
Topic: Statistics And Sets Problems
Replies: 1
Views: 40

Number Properties, Remainders

Number Properties, Remainders

What is the value of integer $$z?$$

1) $$z$$ is the remainder when positive integer $$y$$ is divided by positive integer $$(y-1)$$
2) $$y$$ is not a prime number

The OA is C

Source: Veritas Prep

by swerve

Wed Jun 02, 2021 3:42 pm
Forum: Data Sufficiency
Topic: Number Properties, Remainders
Replies: 1
Views: 46