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g_giaimo02
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Quant Question of the Day Chat 25 Nov 2023, 08:56
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If x^2 = x+1 wich of the followin is equal to x^3?
x+2
x+3
2x
2x+1
4x+2
can someone helps with this one too?
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Bunuel
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Quant Question of the Day Chat 25 Nov 2023, 08:56
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g_giaimo02
how many different numbers can be obtained as the product of exactly 3 different numbers in the set (2, 3, 5, 7, 11)

6

10, 12, 15, 20

I thought 5C3 since the set is composed only by prime numbers so 3 multiplied numbers cannot have the same result. Is it correct?
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Yes, that is correct.
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g_giaimo02
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g_giaimo02
If x^2 = x+1 wich of the followin is equal to x^3? x+2 x+3 2x 2x+1 4x+2 can someone helps with this one too?
the OA is 2x+1, I just don’t get why
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Bunuel
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Quant Question of the Day Chat 25 Nov 2023, 09:09
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g_giaimo02
If x^2 = x+1 wich of the followin is equal to x^3?

A. x+2
B. x+3
C. 2x
D. 2x+1
E. 4x+2

can someone helps with this one too?

x^3 + 1 = (x + 1)(x^2 - x + 1)

Given that x^2 - x = 1, then:

x^3 + 1 = (x + 1)(x^2 - x + 1) = (x + 1)(1 + 1) = 2x + 2

Finally, since x^3 + 1 = 2x + 2, then x^3 = 2x + 1.

Answer: D.
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Quant Question of the Day Chat 25 Nov 2023, 09:14
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how did you get the first expression?
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Bunuel
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Quant Question of the Day Chat 25 Nov 2023, 09:18
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g_giaimo02
how did you get the first expression?

That's a known algebraic property of factoring x^3 + 1. Having said that, it's not something you'd need to know for the GMAT.
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g_giaimo02
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Quant Question of the Day Chat 25 Nov 2023, 09:44
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but this is a question from the official mocks
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MrMBB
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Hi everyone, I recently joined GMAT club and new to this platform. I am preparing for gmat focus. Can any one please share where I can get quant practice question by bunnel all level and topic. I am new to this platform so not sure where to navigate.
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Bunuel
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Quant Question of the Day Chat 25 Nov 2023, 09:56
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MrMBB
Hi everyone, I recently joined GMAT club and new to this platform. I am preparing for gmat focus. Can any one please share where I can get quant practice question by bunnel all level and topic. I am new to this platform so not sure where to navigate.

You can practice questions on GMAT Club by exploring various forums:


Make sure you are signed in to access features like the timer and the error log. For quizzes or GMAT Club Tests, a subscription is required. Take your time to explore and get familiar with the layout of the forums—it's quite user-friendly once you start navigating through it. To access my questions sets check my signature.

Hope it helps.
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Quant Question of the Day Chat 25 Nov 2023, 10:03
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g_giaimo02
but this is a question from the official mocks

There is an easier way to solve this question without that property:

If x^2 = x+1 which of the following is equal to x^3?

A. x+2
B. x+3
C. 2x
D. 2x+1
E. 4x+2

x^3 = x^2*x

Since given that x^2 = x + 1, then:

x^3 = x^2*x = (x + 1)x = x^2 + x

Again, since x^2 = x + 1, then:

x^3 = x^2*x = (x + 1)x = x^2 + x = (x + 1) + x = 2x + 1.

Answer: D.
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Quant Question of the Day Chat 25 Nov 2023, 10:21
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Hi bunuel, can you please share the link to your signature questions?
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RAJAT333
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Quant Question of the Day Chat 25 Nov 2023, 10:31
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what-is-the-value-of-x-1-4x-4-0-2-x-2-2-x-320517.html

correct answer to this question must be answer OPTION A
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MrMBB
Hi bunuel, can you please share the link to your signature questions?

As the title suggests, this topic is in my signature:
Attachment:
2023-11-25_21-30-18.png
2023-11-25_21-30-18.png [ 128.82 KiB | Viewed 516 times ]

Here it is: Bunuel's Signature Collection

Hope it helps.
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Quant Question of the Day Chat 25 Nov 2023, 10:32
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1) 4x + 4 = 0
4x= -4
x=-1
Sufficient

2) (x + 2)^2 = x^2
by taking square root on both sides. we get
x+2=x
we cant get any result
which is insufficient.
How statement 2 can we sufficient
??? Someone please guide me
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Bunuel
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Quant Question of the Day Chat 25 Nov 2023, 10:35
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RAJAT333
What is the value of x?

(1) 4x + 4 = 0

(2) (x + 2)^2 = x^2

https://gmatclub.com/forum/what-is-the- ... 20517.html

correct answer to this question must be answer OPTION A

The correct answer to that question is D, not A. You can check the Official Answer (OA) of a question under the spoiler in the first post.

There, (2) is also sufficient because when you expand the left hand side you'd get:

x^2 + 4x + 4 = x^2;
4x + 4 = 0;
4x = -4;
x = -1.

Sufficient.

Hope it's clear.
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Quant Question of the Day Chat 25 Nov 2023, 10:38
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RAJAT333
1) 4x + 4 = 0
4x= -4
x=-1
Sufficient

2) (x + 2)^2 = x^2
by taking square root on both sides. we get
x+2=x
we cant get any result
which is insufficient.
How statement 2 can we sufficient
??? Someone please guide me

No. Recall that \(\sqrt{a^2}=|a|\). Thus, taking the square root from both sides gives |x + 2| = |x|, which gives x = -1 only.
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Quant Question of the Day Chat 25 Nov 2023, 10:48
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Bunuel
No. Recall that \(\sqrt{a^2}=|a|\). Thus, taking the square root from both sides gives |x + 2| = |x|, which gives x = -1 only.
When I plotted |x+2|=|x| on graph. Multiple values of x are coming? I not getting exact value of x

Bunuel
The correct answer to that question is D, not A. You can check the Official Answer (OA) of a question under the spoiler in the first post. There, (2) is also sufficient because when you expand the left hand side you’d get: x^2 + 4x + 4 = x^2; 4x + 4 = 0; 4x = -4; x = -1. Sufficient. Hope it’s clear.
yes this part is clear...Iwas trying to solve in another way by modulus function method
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Quant Question of the Day Chat 25 Nov 2023, 10:51
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Bunuel
No. Recall that \(\sqrt{a^2}=|a|\). Thus, taking the square root from both sides gives |x + 2| = |x|, which gives x = -1 only.
When I plotted |x+2|=|x| on graph. Multiple values of x are coming? I not getting exact value of x

Bunuel
The correct answer to that question is D, not A. You can check the Official Answer (OA) of a question under the spoiler in the first post. There, (2) is also sufficient because when you expand the left hand side you’d get: x^2 + 4x + 4 = x^2; 4x + 4 = 0; 4x = -4; x = -1. Sufficient. Hope it’s clear.
yes this part is clear...Iwas trying to solve in another way by modulus function method

Check the grpah:
Attachment:
2023-11-25_21-51-06.png
2023-11-25_21-51-06.png [ 41.74 KiB | Viewed 502 times ]
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RAJAT333
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Quant Question of the Day Chat 25 Nov 2023, 11:01
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Bunuel
Check the grpah:
Attachment:
2023-11-25_21-51-06.png
oh yes value is at x=-1. Actually i changed domain of functions that’s why I was getting wrong answer. Thanks now got the right answer and fully cleared my confusion.
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Quant Question of the Day Chat 26 Nov 2023, 08:02
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This year Zack will save certain amount of his income, and he will spend the rest.
Next year Zack will have no income, but for each dollar that he saves this year, he will
have (1 + r) dollar available to spend. In terms of r, what fraction of his income should
Zack save this year so that next year the amount available for his spending will be equal to half the amount that he spends this year?
A) 1/(r+2) B) 1/(2r+2)
C) 1/(r+3)
D) 1/(2r+3) E) None of these
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