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Re: Exponents/Powers

The prompt should indicate that x, y and z are PRIME NUMBERS. Which of the following, if multiplied by \(x^3 y^2 z\), would yield a product that is both a perfect cube and a perfect power of five? A. \(x^5y^{15}z^{15}\) B. \(x^{12} y^{13} z^{14}\) C. \(x^2 y z^2\) D. \(x^2 y^3 z^4\) E. \(y z^2\) For...

by GMATGuruNY

Sat May 09, 2020 2:36 pm
Forum: Problem Solving
Topic: Exponents/Powers
Replies: 1
Views: 34

Re: Six shipments of machine parts were shipped from a factory on two trucks, with each shipment entirely on one of the

S1=1/4 S2=1/5 S3=1/6 S4=3/20 S5=2/15 S6=1/10 Six shipments of machine parts were shipped from a factory on two trucks, with each shipment entirely on one of the trucks. Each shipment was labeled either S1, S2, S3, S4, S5, or S6. The table shows the value of each shipment as a fraction of the total ...


When x is divided by y, the remainder is R. Give this information, the smallest possible value for x will always be the remainder R. A Number when divided by 225 gives a remainder of 32. What will be the remainder when same number is divided by 15? a.4 b.3 c.2 d.1 Smallest option for the number = 3...

by GMATGuruNY

Thu Jan 09, 2020 2:53 pm
Forum: Problem Solving
Topic: Number System
Replies: 2
Views: 148

[GMAT math practice question] A quadrilateral P has (1, 1), (3, 1), (3, 5) and (1, 5) as 4 vertices and another quadrilateral Q has (-1, -1), (-5, -1), (-5, -5) and (-1, -5) as 4 vertices. A line divides these two quadrilaterals evenly at the same time. What is this line? A. y = - 1/6x + 5/6 B. y =...

by GMATGuruNY

Thu Jan 09, 2020 3:52 am
Forum: Problem Solving
Topic: A quadrilateral P has (1, 1), (3, 1), (3, 5) and (1, 5) as 4
Replies: 2
Views: 155

Anton

In the English-Speaking world Anton Chekhov is by far better known for his plays than for his short stories, but it was during his lifetime that Chekhov's stories made him popular while his plays were given a more ambivalent reception, even by his fellow writers. (A) by far better known for his pla...

by GMATGuruNY

Tue Jan 07, 2020 11:42 am
Forum: Sentence Correction
Topic: GMAT Prep QP1 : In the English-Speaking world Anton
Replies: 4
Views: 863

marbles

Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or w...

by GMATGuruNY

Sun Jan 05, 2020 4:31 am
Forum: Problem Solving
Topic: Suppose we have six marbles: 3 blue marbles, 2 red marbles,
Replies: 3
Views: 214

Let S be the set of all positive integers having at most 4 digits and such that each of the digits is 0 or 1. What is the greatest prime factor of the sum of all the numbers in S ? A. 11 B. 19 C. 37 D. 59 E. 101 Let S = the set of 4-digit integers between 0000 and 1111, inclusive, such th...

by GMATGuruNY

Sat Jan 04, 2020 8:22 am
Forum: Problem Solving
Topic: Let S be the set of all positive integers having at most 4
Replies: 3
Views: 266

The first term in sequence Q equals 1, and for all positive integers n equal to or greater than 2, the nth term in sequence Q equals the absolute value of the difference between the nth smallest positive perfect cube and the (n-1)st smallest positive perfect cube. The sum of the first seven terms i...

by GMATGuruNY

Wed Jan 01, 2020 10:45 pm
Forum: Problem Solving
Topic: The first term in sequence Q equals 1, and for all positive
Replies: 2
Views: 180

If m and n are positive integers, is n even? (1) m(m + 2) + 1 = mn (2) m(m + n) is odd. Statement 1: Case 1: m is ODD Plugging m=1 into m(m + 2) + 1 = mn, we get: 1(1+2) + 1 = 1(n) 4 = n In this case, the answer to the question stem is YES. Case 2: m is EVEN Plugging m=2 into m(m + 2) + 1 = mn,...

by GMATGuruNY

Wed Jan 01, 2020 10:33 pm
Forum: Data Sufficiency
Topic: If m and n are positive integers, is n even?
Replies: 2
Views: 206

A certain online form requires a 2-digit code for the day of the month to be entered into one of its fields, such as 04 for the 4th day of the month. The code is valid if it is 01, 02, 03, …, 31 and not valid otherwise. The transpose of a code xy is yx. For example, 40 is the transpose of 04. If ...

by GMATGuruNY

Fri Dec 27, 2019 11:20 pm
Forum: Problem Solving
Topic: A certain online form requires a 2-digit code for the day of
Replies: 2
Views: 245

If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x? A. 6 B. 7 C. 8 D. 9 E. 10 Since x must be even, let x=0. To minimize z-x, we must minimize the distance between z and x. Plugging x=0 into y-x > 5, we get: y-0 > 5 y > 5 S...

by GMATGuruNY

Fri Dec 27, 2019 10:52 pm
Forum: Problem Solving
Topic: If x < y < z and y - x > 5, where x is an even inte
Replies: 2
Views: 239

https://i.postimg.cc/sMWbQkGN/2019-09-21-1849.png The table above shows the percent of change from the previous month in Company X's sales for February through June of last year. A positive percent indicates that Company X's sales for that month increased from the sales for the previous month, and ...

by GMATGuruNY

Wed Dec 25, 2019 5:10 am
Forum: Problem Solving
Topic: The table above shows the percent of change from the
Replies: 2
Views: 294

A store bought 5 dozen lamps at $30 per dozen and sold them all at $15 per lamp. The profit on each lamp was what percent of its selling price? A. 20% B. 50% C. \(83 \frac{1}{3}\)% D. 100% E. 500% Cost per lamp = (cost per dozen)/(number of lamps in a dozen) = 30/12 = 5/2 = $2.50. Profit per lamp =...

by GMATGuruNY

Wed Dec 25, 2019 4:42 am
Forum: Problem Solving
Topic: A store bought 5 dozen lamps at $30 per dozen and sold them
Replies: 3
Views: 395

$$If\ x\ \ne\ 1,\ is\ y\ equal\ to\ x\ +\ 1?$$ (1) \(\frac{y - 2}{x - 1} = 1\) (2) \(y^2 = (x + 1)^2\) Statement 1: Multiplying both sides by x-1, we get: y-2 = x-1 y = x+1 Thus, the answer to the question stem is YES. SUFFICIENT. Statement 2: Let x=0, with the result that y² = (0+1)² = 1 If x=0 ...

by GMATGuruNY

Fri Dec 20, 2019 7:25 pm
Forum: Data Sufficiency
Topic: If x 1, is y equal to x + 1? (1) (y-2)/(x-1)=1 (2) y^2=(x+1)
Replies: 2
Views: 332

If x + y + z > 0, is z > 1? (1) z > x + y + 1 (2) x + y + 1 < 0 Inequalities can be ADDED TOGETHER. One condition: Before two inequalities can be added together, the inequality symbol must face the SAME DIRECTION in each inequality. Statement 1: Adding together x+y+z > 0 and z > x+y+1, we get: x+y+...

by GMATGuruNY

Fri Dec 20, 2019 7:09 pm
Forum: Data Sufficiency
Topic: If x + y + z > 0, is z > 1?
Replies: 2
Views: 322