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# Quant Question of the Day Chat

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Re: Quant Question of the Day Chat [#permalink]
mysterymanrog - You're late to the party today

But I am glad that you've come
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
mysterymanrog - You’re late to the party today

But I am glad that you’ve come

Gym and University :p
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Re: Quant Question of the Day Chat [#permalink]
mysterymanrog wrote:
gmatophobia wrote:
mysterymanrog - You’re late to the party today

But I am glad that you’ve come

Gym and University :p

PS Question 1 - Dec 14

An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?

A. 25
B. 35
C. 150
D. 210
E. 300

Source: Manhattan | Difficulty: Medium

Originally posted by gmatophobia on 14 Dec 2022, 09:15.
Last edited by gmatophobia on 14 Dec 2022, 09:18, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Dec 14

An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?

A. 25
B. 35
C. 150
D. 210
E. 300

Source: Manhattan | Difficulty: Medium

A team has 1 PM, 1 TL, 4 Consultants

pool of candidates -
2 for PM
3 for TL
7 for consultants

total combinations of teams possible - 2C1 * 3C1 * 7C4 = 210
Total combination if 2 of 7 DO JOIN consultants in SAME TEAM = 2C1 * 3C1 * 5C2 = 60
so remaining combination following constraints = 210-60 = 150

option C ?
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 2 - Dec 14

If n is an integer, is (n-1)(n+1) a multiple of 24?

1) n is odd.
2) n is not divisible by 3.

Source: Math Revolution | Difficulty: Hard

this one is C ... right ?
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Dec 14 For a certain city’s library, the average cost of purchasing each new book is \$28. The library receives \$15,000 from the city each year,the library also receives a bonus of \$2,000 if the total number of items checked out over the course of the year exceeds 5,000.Did the library receive the bonus last year ? (1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost. (2) The lowest number of items checked out in one month was 459 . Source: Official Guide | Difficulty: Medium

D

gmatophobia wrote:
DS Question 2 - Dec 14 If n is an integer, is (n-1)(n+1) a multiple of 24? 1) n is odd. 2) n is not divisible by 3. Source: Math Revolution | Difficulty: Hard

C

gmatophobia wrote:
PS Question 1 - Dec 14 An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible? A. 25 B. 35 C. 150 D. 210 E. 300 Source: Manhattan | Difficulty: Medium

C

Originally posted by gmatophobia on 14 Dec 2022, 23:59.
Last edited by gmatophobia on 15 Dec 2022, 00:07, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink]
DS Question 1 - Dec 15

Whenever martin has a restaurant bill with an amount between \$10 and \$99, he calculates the dollar amount of the tip as 2times the tens digit of the amount of his bill.If the amount of the Martin’s most recent restaurant bill was between \$10 and \$99, was the tip calculated by the martin on this bill greater than 15 percent of the amount of the bill?

(1) The amount of the bill was between \$15 and \$50
(2) The tip calculated by the martin was \$8

Source: Official Guide | Difficulty : Medium
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Re: Quant Question of the Day Chat [#permalink]
PS Question 1 - Dec 15

If x and y are positive integers and x^y=y^x+1, which of the following must be odd?

A. xy
B. x + y - 1
C. x + 2y
D. 3x - y
E. xy + 2

Source: GMAT Club Tests | Difficulty : Medium
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Dec 15 If x and y are positive integers and x^y=y^x+1, which of the following must be odd? A. xy B. x + y - 1 C. x + 2y D. 3x - y E. xy + 2 Source: GMAT Club Tests | Difficulty : Medium

satisfied by :
x=2
y=1
Option D is odd

gmatophobia wrote:
DS Question 1 - Dec 15 Whenever martin has a restaurant bill with an amount between \$10 and \$99, he calculates the dollar amount of the tip as 2times the tens digit of the amount of his bill.If the amount of the Martin’s most recent restaurant bill was between \$10 and \$99, was the tip calculated by the martin on this bill greater than 15 percent of the amount of the bill? (1) The amount of the bill was between \$15 and \$50 (2) The tip calculated by the martin was \$8 Source: Official Guide | Difficulty : Medium

B ?

Originally posted by AbhinavKumar on 15 Dec 2022, 07:02.
Last edited by AbhinavKumar on 15 Dec 2022, 07:03, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Dec 15 If x and y are positive integers and x^y=y^x+1, which of the following must be odd? A. xy B. x + y - 1 C. x + 2y D. 3x - y E. xy + 2 Source: GMAT Club Tests | Difficulty : Medium

x^y-y^x=1
Therefore, either (even-odd) or (odd-even). This implies that one of X or Y is even, and the other odd.
A) Out
B) (even)+(odd)=odd-1=even out
C) if x is even, even+even is even, out
D) either even-odd, or odd-even. Both are always odd.
E) even+even is even. Out.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Dec 15 Whenever martin has a restaurant bill with an amount between \$10 and \$99, he calculates the dollar amount of the tip as 2times the tens digit of the amount of his bill.If the amount of the Martin’s most recent restaurant bill was between \$10 and \$99, was the tip calculated by the martin on this bill greater than 15 percent of the amount of the bill? (1) The amount of the bill was between \$15 and \$50 (2) The tip calculated by the martin was \$8 Source: Official Guide | Difficulty : Medium

B

gmatophobia wrote:
PS Question 1 - Dec 15 If x and y are positive integers and x^y=y^x+1, which of the following must be odd? A. xy B. x + y - 1 C. x + 2y D. 3x - y E. xy + 2 Source: GMAT Club Tests | Difficulty : Medium

D
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Re: Quant Question of the Day Chat [#permalink]
Where all you practicing quant from ?
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Re: Quant Question of the Day Chat [#permalink]
Elite097 wrote:
Where all you practicing quant from ?

You can start with official questions, followed by questions from other sources.

Here are links to the 1000 series for DS and PS -
Complete 1000 Problem Solving Series
Complete 1000 Data Sufficiency Series
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Re: Quant Question of the Day Chat [#permalink]
DS Question 1 - Dec 16

If m and n are positive integers, is the remainder of (10^m + n)/3 larger than the remainder of (10^n + m)/3 ?

(1) m > n
(2) The remainder of n/3 is 2

Source: GMAT Club Tests | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink]
PS Question 1 - Dec 16

What is the sum of all solutions to the equation |x² – 4x + 4| = x² + 10x – 24?

A) -5
B) -3
C) -2
D) 2
E) 5

Source: GMATPrepNow | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Dec 16 What is the sum of all solutions to the equation |x² – 4x + 4| = x² + 10x – 24? A) -5 B) -3 C) -2 D) 2 E) 5 Source: GMATPrepNow | Difficulty: Hard

Case 1:

-x^2+4x-4=x^2+10x-24
-2x^2-6x+20=0
x^2+3x-10=0
(x+5)(x-2)=0

We need to check the solutions.
x^2+10x-24=0
(x+12)(x-2)
RHS is pos for solutions x2.
Because LHS is abs (which is always >=0) x=-5 is not within the pos range of RHS, so we can eliminate it.
X=2 is just the root of RHS and LHS, so it is fine.

Case 2:
x^2-4x+4=x^2+10x-24
-14x=-28
x=2

Once again, x=2.

Solution set is just 2, so the sum of all solutions is just 2. D
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Re: Quant Question of the Day Chat [#permalink]
DS Question 2 - Dec 16

A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?

(1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively.
(2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.

Source: Official Guide | Difficulty: Hard
Re: Quant Question of the Day Chat [#permalink]
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