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Re: Quant Question of the Day Chat
[#permalink]
16 Dec 2022, 03:50
16 Dec 2022, 03:50
gmatophobia wrote:
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
1) Clearly INS.
2) 18,27,36.
We can have a case of 1 employee, which got 18 pens, 27 pencils, 36 pads, or 9 employees who got 2 pens 3 pencils and 4 pads each. INS.
3) No new info.
E.
Intern
Joined: 12 Dec 2022
Posts: 13
Given Kudos: 3
Location: India
Re: Quant Question of the Day Chat
[#permalink]
Updated on: 16 Dec 2022, 08:56
Updated on: 16 Dec 2022, 08:56
gmatophobia wrote:
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
E
it boils down to whether m+1 is divisible by 3 and whether n+1 is divisible by 3
B seems correct but m+1 still might be divisible by 3 and remainder would be 0 so we cannot say it’ll be greater for sure
mysterymanrog wrote:
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
actually LHS is a perfect square, (x-2)^2, so we can remove the modulus directly and solve that x=2 is the only solution
Originally posted by deferred2023 on 16 Dec 2022, 08:53.
Last edited by deferred2023 on 16 Dec 2022, 08:56, edited 1 time in total.
Last edited by deferred2023 on 16 Dec 2022, 08:56, edited 1 time in total.
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Joined: 22 Dec 2016
Posts: 3125
Given Kudos: 1859
Location: India
Concentration: Strategy, Leadership
Re: Quant Question of the Day Chat
[#permalink]
Updated on: 17 Dec 2022, 02:00
Updated on: 17 Dec 2022, 02:00
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
D
gmatophobia wrote:
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
E
gmatophobia wrote:
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
B
PS Question 1 - Dec 17
For an odd integer n, the function f(n) is defined as the product of all odd integers from 1 to n. The lowest odd prime factor f(71)-1 lies between…
A. 3 and 10
B. 11 and 30
C. 31 and 50
D. 51 and 70
E. 71 and above
Source: Experts Global | Difficulty: Hard
DS Question 1 - Dec 17
Is the standard deviation of the numbers in list R less than the standard deviation of the numbers in list S ?
(1) The range of the numbers in R is less than the range of the numbers in S.
(2) Each number in R occurs once and each number in S is repeated.
Source: Official Guide | Difficulty: Hard
Originally posted by gmatophobia on 17 Dec 2022, 01:53.
Last edited by gmatophobia on 17 Dec 2022, 02:00, edited 3 times in total.
Last edited by gmatophobia on 17 Dec 2022, 02:00, edited 3 times in total.
