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Quantitative | Re: Inequality / min max strategy question

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esonrev wrote:

Can someone walk me through the below? Thanks so much.

4 < (7-x)/3

Quantity A
Maximum value of -(5-x)

Quantity B
Maximum value of 2x


esonrev - This looks way more like a Quantitative Comparison on the GRE® than it does a GMAT™-style question. You might want to try posting it on GREPrepClub instead. However, in the interest of helping out, here are my two cents:

1) Work the given inequality algebraically.
\(4 < \frac{(7 - x)}{3}\)\(12 < (7 - x)\) (multiply both sides by 3 to get
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Problem Solving (PS) | Re: The balance of a trader weighs 10% less than it should. Still the

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Problem Solving (PS) | Re: A circular microchip with a radius of 2.5 centimeters is manufactured

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1cm = 0.05mm or 1cm = 0.005cm (proportions)

2.5cm/ 0.005cm = 500cm
easiest way to do this is to convert to fractions:
(5/2)/(5/1000) = 5000/10 = 500cm (this is the size of the radius on the blue print)
(500cm)^2 * pi = 250000cm^2 *pi

Problem Solving (PS) | Re: What is the number of solutions of the equation 2x + y = 40 where x an

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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Problem Solving (PS) | Re: If x and y are different integers and x^2 = xy, which of the

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Bunuel wrote:

The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x and y are different integers and x^2 = xy, which of the following must be true?

I. x = 0
II. y = 0
III. x = -y

(A) l only
(B) II only
(C) III only
(D) I and III only
(E) I, II, andIII

Problem Solving
Question: 106
Category: Arithmetic; Algebra Operations on rational numbers; Second-degree equations
Page: 75
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


...

Data Sufficiency (DS) | Re: If xy ≠ 0, is x/y = 1? (1) x^2 = y^2 (2) xy > 0

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Known: x≠0, y≠0

Q. Is x/y = 1? or is x=y?

(1) x^2 = y^2 (same magnitude)
--> x=2, y=+2, x/y = 1? Yes
--> x=2, y=-2, x/y = 1? NO
NOT SUFFICIENT

(2) xy > 0 (same sign)
--> x=2, y=+2, x/y = 1? Yes
--> x=2, y=+1, x/y = 1? NO
NOT SUFFICIENT

(1)+(2) = Same sign and same magnitude
--> x=2, y=+2, x/y = 1? Yes
--> x=1, y=+1, x/y = 1?Yes
SUFFICIENT

Answer is (C)
+1 kudo if you like this explanation

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Problem Solving (PS) | Re: If the number n of calculators sold per week varies with the

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Bunuel wrote:

The Official Guide For GMAT® Quantitative Review, 2ND Edition

If the number n of calculators sold per week varies with the price p in dollars according to the equation n = 300 - 20p, what would be the total weekly revenue from the sale of $10 calculators?

(A) $100
(B) $300
(C) $1,000
(D) $2,800
(E)$3,000

Problem Solving
Question: 28
Category: Algebra First-degree equations
Page: 65
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


...

Problem Solving (PS) | Re: An object thrown directly upward is at a height of h feet

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IEsailor wrote:

An object thrown directly upward is at a height of h feet after t seconds, where h = -16 (t -3)^2 + 150. At what height, in feet, is the object 2 seconds after it reaches its maximum height?

A. 6
B. 86
C. 134
D. 150
E. 214


Object reaches maximum height at t=3

Height at t=3+2=5 ; -16(5-3)^2+150=-64+150=86

IMO B

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Problem Solving (PS) | Re: If k#0 and k - (3 -2k^2)/k = x/k, then x =

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Bunuel wrote:

The Official Guide For GMAT® Quantitative Review, 2ND Edition

If\(k\neq{0}\) and\(k - \frac{3 -2k^2}{k} = \frac{x}{k}\) , then x =

(A) -3 - k^2
(B) k^2 -3
(C) 3k^2 - 3
(D) k - 3 - 2k^2
(E) k - 3 +2k^2

Problem Solving
Question: 111
Category: Algebra Second-degree equations
Page: 76
Difficulty: 500


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


...

Data Sufficiency (DS) | Re: Math Revolution DS Expert - Ask Me Anything about GMAT DS

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MathRevolution wrote:

[GMAT math practice question]

(number properties) \(a, b\) and \(c\) are integers. What is the value of \(a-b-c\)?

\(1) |a|<|b|<|c|\)

\(2) a*b*c=12\)


=>

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
Visit https://www.mathrevolution.com/gmat/lesson

Problem Solving (PS) | Re: A bank customer borrowed $10,000, but received y dollars les

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Bunuel wrote:

GMAT weekly questions



A bank customer borrowed $10,000, but received y dollars less than this due to discounting. If there was a separate $25 service charge, then, in terms of y, the service charge was what fraction of the amount that the customer received?

A. 25/(10,000 - y)
B. 25/(10,000 - 25y)
C. 25y/(10,000 - y)
D. (y - 25)/(10,000 - y)
E. 25/(10,000 - (y - 25))

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Problem Solving (PS) | Re: Among 100 students in a class, 57 like football and 68 like basketball

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=>

Define\(n(X)\) to be the number of elements of the set\(X\) .
Let\(U\) be the set of all\(100\) students,\(F\) be the set of students who like football, and\(B\) be the set of students who like basketball.
Then\(n(U)=100, n(F)=57\) and\(n(B)=68\) .

The maximum size of\(F∩B\) occurs when the set\(F\) is included in the set\(B\) . In this case,\(n(F∩B) = n(F).\) So\(a = n(F) =57.\)

The minimum size of \(F∩B\) occurs when \(U=F∪B\) . In this case,\( b = n(F∩B)=n(F)+n(B)-n(F\)
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Problem Solving (PS) | Re: If b < 2 and 2x - 3b = 0, which of the following must be tru

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Bunuel wrote:

The Official Guide For GMAT® Quantitative Review, 2ND Edition

If b < 2 and 2x - 3b = 0, which of the following must be true?

(A) x > -3
(B) x < 2
(C) x = 3
(D) x < 3
(E) x >3

Problem Solving
Question: 92
Category: Algebra Inequalities
Page: 73
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


...

Problem Solving (PS) | Re: A positive integer n = 345xyz has six digits. What is the maximum poss

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=>

If\(345xyz\) is divisible by\(3, 3+4+5+x+y+z\) is divisible by\(3\) , and\(x+y+z\) is divisible by\(3\) .
If\(345xyz\) is divisible by\(4\) , the last two digits\(yz\) must form a\(2\) -digit number that is divisible by\(4\) . So,\(10y+z\) is divisible by\(4.\)
If\(345xyz\) is divisible by\(5, z\) must be\(0\) or\(5.\)

In order for\(10y + z\) to be divisible by\(4\) , we must have\(z = 0.\) The possible values of\(y\) are\(0, 2, 4, 6\) and\(8\) .
If\(y=0\) and\(z=0\) , then the maximum value of\(x\) is\(9,\) and\(345xyz\) is\(345900.\)
If\(y=2\) and\(z=0\) , then the maximum value
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Problem Solving (PS) | Re: How many integers n are there such that 1< 5n +5 < 25?

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Bunuel wrote:

How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

Practice Questions
Question: 50
Page: 158
Difficulty: 600



-4/5 <n<4
Since n is an integer
n={0,1,2,3}

IMO B

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Quantitative | Re: Overview of GMAT Math Question Types and Patterns on the GMAT

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[GMAT math practice question]

(number properties) Let aob denote the greatest common divisor of a and b, and let a□b denote the least common multiple of a and b. What is (xoy)□(x□y)?

1) (63o99)x=540
2) 3y-(18□45)=0

=>

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure
...

Problem Solving (PS) | Re: If y = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =

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Bunuel wrote:

If y = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =

A. -2
B. -1
C. 0
D. 2
E. None of the above


Kudos for a correct solution.


y is least when
5-x = x+1
x=2

IMO D

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Problem Solving (PS) | Re: If xy ≠ 0 and x^2y^2 − xy = 6, which of the following could be y in te

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sperumba wrote:

If xy ≠ 0 and \(x^2y^2 − xy = 6\), which of the following could be y in terms of x?

I. 1/(2x)
II. -2/x
III. 3/x

(A) I only
(B) II only
(C) I and II
(D) I and III
(E) II and III


Solving the equation
xy = 3 or -2
y = 3/x or -2/x

IMO E

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Problem Solving (PS) | Re: If s is the product of the integers from 100 to 200 inclusiv

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yuefei wrote:

If s is the product of the integers from 100 to 200 inclusive, and if t is the product of the integers from 100 to 201 inclusive, what is 1/s + 1/t in terms of t?

A. 201^2/t
B. 202*201/t
C. 201/t
D. 202/t
E. 202*201/t^2


s=200!/99!
t= 201!/99!= 201s
1/s = 201/t
1/s + 1/t = 201/t+1/t= 202/t

IMO D

Posted from my mobile device

Problem Solving (PS) | Re: What is the sum of all the odd numbers of four digits

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Hovkial wrote:

What is the sum of all the odd numbers of four digits that are divisible by 9?

(A) 2448729

(B) 2478429

(C) 2754000

(D) 2784491

(E) 2796600


9000/18=500
500[(1017+9999)/2]=2754000
C
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