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Quant Question of the Day Chat

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mysterymanrog
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   31 May 2023, 11:14
gmatophobia
PS Question 1 - May 31 Let x be a two-digit number. If the sum of the digits of x is 9, then the sum of the digits of the number (x + 10) is (A) 1 (B) 8 (C) 10 (D) either 8 or 10 (E) either 1 or 10 Source: Others | Difficulty: Hard
Consider the case of x=18
In this case, x+10=28, which means sum of digits 10.
Consider the case of x=90
x+10=100
the sum of digits is 1.
E
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   31 May 2023, 22:32
Shobhit28
Yes
Then what would be the answer?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 01 Jun 2023, 00:53
gmatophobia
PS Question 1 - May 31 Let x be a two-digit number. If the sum of the digits of x is 9, then the sum of the digits of the number (x + 10) is (A) 1 (B) 8 (C) 10 (D) either 8 or 10 (E) either 1 or 10 Source: Others | Difficulty: Hard
E

gmatophobia
DS Question 1 - May 31 Is p > q ? (1) p^2 > q (2) p^3 < q Source: Expert’s Global | Difficulty: Hard
E; -ve or fraction

Originally posted by wickedvikram on 01 Jun 2023, 00:50.
Last edited by wickedvikram on 01 Jun 2023, 00:53, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   01 Jun 2023, 02:56
mysterymanrog
Consider the case of x=18 In this case, x+10=28, which means sum of digits 10. Consider the case of x=90 x+10=100 the sum of digits is 1. E
let the number be 10x+y , add 10 to it, it becomes 10x+(y+10), assume that after this operation , the two digit no is of form 10a+b, now compare 10x+10+y with 10a+b , we get , a=x+1 and y=b , so the sum of its digit i.e a+b =x+y+10 =9+1=10
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 02 Jun 2023, 04:26
gmatophobia
DS Question 1 - May 31 Is p > q ? (1) p^2 > q (2) p^3 < q Source: Expert’s Global | Difficulty: Hard
Show SpoilerOA
E

gmatophobia
PS Question 1 - May 31 Let x be a two-digit number. If the sum of the digits of x is 9, then the sum of the digits of the number (x + 10) is (A) 1 (B) 8 (C) 10 (D) either 8 or 10 (E) either 1 or 10 Source: Others | Difficulty: Hard
Show SpoilerOA
E

DS Question 1 - June 6

For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2*r dollars for each additional hour or fraction of an hour, where r > 100, Did a particular landscaping job take more than 10 hours.

(1) The contractor charges a total of $288 for the job.
(2) The contractor charges a total of 2.4r dollars for the job.

Source: Official Guide | Difficulty: Hard

PS Question 1 - June 6

9 people, including 3 couples, are to be seated in a row of 9 chairs. What is the probability that only one couple is sitting together

A. 1/63
B. 1/6
C. 8/21
D. 61/126
E. 7/9

Source: Others | Difficulty: Hard

Originally posted by gmatophobia on 02 Jun 2023, 04:23.
Last edited by gmatophobia on 02 Jun 2023, 04:26, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 02 Jun 2023, 04:55
gmatophobia
DS Question 1 - June 6 For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2*r dollars for each additional hour or fraction of an hour, where r > 100, Did a particular landscaping job take more than 10 hours. (1) The contractor charges a total of $288 for the job. (2) The contractor charges a total of 2.4r dollars for the job. Source: Official Guide | Difficulty: Hard
B

A is not sufficient because value of r is unknown

Originally posted by sg_mba on 02 Jun 2023, 04:54.
Last edited by sg_mba on 02 Jun 2023, 04:55, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   02 Jun 2023, 07:07
gmatophobia
PS Question 1 - June 6 9 people, including 3 couples, are to be seated in a row of 9 chairs. What is the probability that only one couple is sitting together A. 1/63 B. 1/6 C. 8/21 D. 61/126 E. 7/9 Source: Others | Difficulty: Hard
Hi gmatphobia
I checked twice but I’m getting 11/63. Could you point out the error in below.
P(Only 1C) = P(T)-[p(0C)+P(2+ C)]
{9!-[(9!-8!*2!) + 6!*4!]} / 9! = 11/63
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 02 Jun 2023, 09:52
Got it. It’s C - 8/21

P(only 1C) = 3{P(1+ C)-[2*P(only 2C)+P(only 3C)]}
P(only 3C) = 6!*2!*2!*2!/9!
P(only 2C) = P(2+ C)-P(only 3C)= (7!*2!*2!-6!*2!*2!*2!)/9! (for only 1 pair of 2couple, *3 for all )
P(1+ C)=2*8!/9! (for only 1 couple, *3 for all )
Substitute in first eqn to get 8/21

Originally posted by wickedvikram on 02 Jun 2023, 09:42.
Last edited by wickedvikram on 02 Jun 2023, 09:52, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 02 Jun 2023, 23:28
What is the value of x?

(1) x−2x=1
�
−
2
�
=
1

(2) xx=1

What is the value of x? (1) x^(-2x) = 1 (2) x^x = 1

can we take zero to the power zero as 1?

Originally posted by Anki111 on 02 Jun 2023, 23:26.
Last edited by Anki111 on 02 Jun 2023, 23:28, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 02 Jun 2023, 23:44
c

for 1 it could be 1 as well as-1

Anki111
can we take zero to the power zero as 1?
if this is the case then it should be E right ?

Originally posted by vdhanuka on 02 Jun 2023, 23:40.
Last edited by vdhanuka on 02 Jun 2023, 23:44, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 03 Jun 2023, 00:09
the answer is B

BUT if we consider zero to the power zero ..then it should be E

Originally posted by Anki111 on 03 Jun 2023, 00:08.
Last edited by Anki111 on 03 Jun 2023, 00:09, edited 1 time in total.
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mysterymanrog
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   03 Jun 2023, 00:10
Anki111
can we take zero to the power zero as 1?
No, the gmat does not use zero to the power of zero
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mysterymanrog
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   03 Jun 2023, 00:11
B looks surficient for this

x^x=1

x can only be 1, as if it is -1 it does not change signs
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   03 Jun 2023, 00:12
Yea i got B as well, just clarifying the doubt
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   03 Jun 2023, 00:13
and btw, 0^0 is undefined
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   03 Jun 2023, 00:13
No, it is undefined and can be 1 depends on what you are asking
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   03 Jun 2023, 00:13
because if you consider: 0^(1-1) which implies that 0^0=0/0

so that is why gmat does not use it
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   03 Jun 2023, 00:35
yes then the answer stands B
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   03 Jun 2023, 00:36
To practice quant questions, which test prep has the closest gmat like questions, anyone ?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   03 Jun 2023, 01:12
Is x/y > 0? (1) x - y > 0 (2) xy > 0
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Re: Quant Question of the Day Chat [#permalink]
03 Jun 2023, 01:12
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