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Problem Solving (PS) | Re: If a = 7 and b = -7, what is the value of 2a - 2b + b^2 ?

September 15, 2019, 1:00 am
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HasnainAfxal wrote:

If \(a = 7\) and \(b = -7\), what is the value of \(2a - 2b + b^2\) ?

(A) -49
(B) 21
(C) 49
(D) 63
(E) 77


Given: \(a = 7\) and \(b = -7\)

Asked: What is the value of \(2a - 2b + b^2\) ?

2(7) - 2(-7) + (-7)^2
= 14 + 14 + 49 = 77

IMO E
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Problem Solving (PS) | Re: If x = -3, what is the value of -3x^2 ?

September 15, 2019, 1:00 am
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carcass wrote:

If \(x = -3\), what is the value of \(-3x^2\)?

(A) -27
(B) -18
(C) 18
(D) 27
(E) 81


Given; \(x = -3\)

Asked: What is the value of \(-3x^2\)?

-3(-3)^2 = -3 *9 = -27

IMO A
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Problem Solving (PS) | Re: A committee of 3 people is to be chosen from four married

September 15, 2019, 1:00 am
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We have 4 couples. Let the couples be-

AB CD EF GH

Number of ways to select ANY 3 out of 8 is 8C3 = 56

Number of ways we select the 3 such that there is at least one couple =
Number of ways to select a couple = 4 ways
Number of ways to select the third member = 6 ways (as after picking one couple, 6 will remain)
Thus Number of ways to select the group such that there is at least one couple = 4*6 = 24

Hence, the number of ways to select the group such that there are no couples = 56 - 24 = 32


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Data Sufficiency (DS) | Re: If x and y are integers great than 1, is x a multiple of y?

September 15, 2019, 1:00 am
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ypetrunina wrote:

GMATPrepNow wrote:
jananijayakumar wrote:
If x and y are integers great than 1, is x a multiple of y?

(1) \(3y^2+7y=x\)

(2) \(x^2-x\) is a multiple of y

Spoiler: ::



Target question: Is x a multiple of y?
Asking whether x is a multiple of y is the same as asking whether x = (y)(some integer) For example, 12 is a multiple of 3 because 12 = (3)(4) So, let's rephrase the question as...
REPHRASED target question: Does x = (y)(some integer)?

Statement 1: 3y² + 7y = x
Factor to get x = y(3y + 7
If y is an integer, then
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Problem Solving (PS) | A jar is filled with red, white, and blue tokens that are eq

September 15, 2019, 1:00 am
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AccipiterQ wrote:

A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 3, what is the smallest possible total number of tokens in the jar?

(A) 9
(B) 12
(C) 15
(D) 18
(E) 21


Given:
1. A jar is filled with red, white, and blue tokens that are equivalent except
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Problem Solving (PS) | Re: If x and y are odd positive integers, and x and y both have an odd

September 15, 2019, 1:00 am
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x and y are both odd and both have an odd number of integers; hence, x and y are both perfect perfect square of oddintegers.

\(x=(2a+1)^2\) , where a is aninteger
\(y=(2b+1)^2\) , where b is aninteger

\(x-y= 4a^2+4a+1-4b^2-4b-1\)\(= 4(a^2+a-b^2-b)\)
hence, value of x-y must be a multiple of 4

Only option C is a multiple of 4

IMO C


GMATPrepNow wrote:

If x and y are positive odd integers, and both numbers have an odd number of positive divisors, which of the following could be the value of x-y?

A) 4818
B)

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Data Sufficiency (DS) | Re: A clothing manufacturer makes jackets that are wool or cotton or a co

September 15, 2019, 1:00 am
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1) Each wool jacket requires 4 pounds of wool, and no cotton= weird question ... what does it mean no cotton
it is confusing....it means we have no information or no quantity or no what !?
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Problem Solving (PS) | Re: If (x^2 - 4x + 4)/(x^2 + x - 6) = (6x - 12)/(x^2 + 6x + 9), then x =

September 15, 2019, 1:00 am
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Bunuel wrote:

If \(\frac{x^2-4x+4}{x^2+x-6} = \frac{6x-12}{x^2+6x +9}\), then x =

A. 0
B. 1
C. 2
D. 3
E. 4

What am I doing wrong here:

option C:
2^2-4*2+4= 0
6*2-12=0.

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

September 15, 2019, 1:00 am
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Problem Solving (PS) | Re: What is the number of the multiples of 6 sitting in the range.........

September 15, 2019, 1:00 am
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number of multiples of 6 between 1 and 6^4 (inclusive) \(= \frac{6^4}{6} = 6^3 = 216\)
number of multiples of 6 between 1 and 6^2 (inclusive) \(= \frac{6^2}{6} = 6^1 = 6\) , (exclusive) \(= 6-1 = 5\)

number of multiples of 6 between 6^2 and 6^4 (inclusive) = \(216 - 6 + 1 = 211\)
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Problem Solving (PS) | Re: For all positive numbers n, n* = n^1/2 /2 . What is the value of (64*)

September 15, 2019, 1:00 am
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AUTricco27
given function is \(n, n*\) =\(\sqrt{n}\) /2
so\((64*) ^*\)
will be 4* ; √4/2 ; 2/2 ; 1
hope this helps

AUTricco27 wrote:

Archit3110 wrote:
SajjadAhmad wrote:
For all positive numbers\(n, n*\) =\(\sqrt{n}\) /2. What is the value of\((64*) ^*\) ?

(A) 1

(B) 2

(C)\(\sqrt{32}\) /2

(D) 4

(E) 16

Source: Nova GMAT

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Problem Solving (PS) | Re: If (x + y)/(xy) = 1, then y =

September 15, 2019, 1:00 am
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Bunuel wrote:

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

If (x + y)/(xy) = 1, then y =

(A) x/(x - 1)
(B) x/(x + 1)
(C) (x - 1)/x
(D) (x + 1)/x
(E)x

Problem Solving
Question: 128
Category: Algebra First-degree equations
Page: 78
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!


...
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Problem Solving (PS) | Re: In a circle, two parallel chords on the same side of a diameter have

September 15, 2019, 1:00 am
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Let R be the radius and x be the distance of chord of 10 cm from centre
(2+x)^2 +3^2= R^2 ........... (i)
x^2+5^2 = R^2 .................(ii)

comparing i and ii,

x^2+4x+4+9= x^2 +25
4x = 25 -13
x= 3

R^2 = 3^2+5^2
R = sqrt (34)
So option C
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Problem Solving (PS) | Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac

September 15, 2019, 1:00 am
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Problem Solving (PS) | Re: When 1+2+..........+n=n(n+1)/2, what is the sum of all the positive mu

September 15, 2019, 1:00 am
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Hello from the GMAT Club BumpBot!

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Problem Solving (PS) | Re: what is the radius (in cm) of the biggest possible circle

September 15, 2019, 1:00 am
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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: What is the value of 2x^2 - 2.4x - 1.7 for x = 0.7 ?

September 15, 2019, 1:00 am
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mykrasovski wrote:

Gentlemen,

\(2x^2-2.4x-1.4 = (x-1.7)(x+0.5) = (0.7-1.7)(0.7+0.5) = -1.0 * 1.2 = -1.2\)

Where is my mistake?


mykrasovski

You factorisation is incorrect. In fact, there is no need for factorisation of the expression.
\(2x^2-2.4x-1.4 \neq (x-1.7)(x+0.5)\)
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Problem Solving (PS) | Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =

September 15, 2019, 1:00 am
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Bunuel wrote:

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

If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =

(A) 10/9
(B) 3/2
(C) 20/11
(D) 30/11
(E)5

Problem Solving
Question: 107
Category: Algebra First-degree equations; Simplifying algebraic expressions
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!


...
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Problem Solving (PS) | Re: In ∆ ABC above, which of the following could be a value of x?

September 15, 2019, 1:00 am
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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 odd positive integers, and x and y both have an odd

September 15, 2019, 1:00 am
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from the given info we know that both x& y are odd integers and are perfect squares as well.
we can test for few values of given condition
3^2-1^2=8
5^2-3^2= 16
5^2-1^2= 24
13^2-11^2 = 48
21^2-11^2= 320
we observe that all the integers are divisible by 8
seeing the answer options
A) 4818 ; has only 1 factor of 2
B) 5174; has only 1 factor of 2
C) 5320; has 3 factors of 2 hence divisible by 8 sufficient
D) 5482; has only 1 factor of 2
E) 5566' has only 1 factor of 2

IMO C

GMATPrepNow wrote:

If x and y are

...
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