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# Quant Question of the Day Chat

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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Mar 25 x and y are positive integers. When 16x is divided by y, the quotient is x, and the remainder is 4. What is the sum of all possible y-values? A) 7 B) 12 C) 19 D) 26 E) 41 Source: GMAT Prep Now | Difficulty: Hard

E

We can write it as -> 16x = yx

16x = yx + 4
x(16-y) = 4

we know x and y are +ve integers. Hence, y can be 15,14 or 12.

Sum = 41

Originally posted by ChandlerBong on 24 Mar 2023, 23:40.
Last edited by ChandlerBong on 24 Mar 2023, 23:42, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
How do we get from 16x/y = x + 4. To 16x = yx +4?
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Re: Quant Question of the Day Chat [#permalink]
We’re putting in the values and checking. Y and X should always be positive integers and for the values of y = 15, 14 or 12 we’re getting +ve value of x. Any lower value will result in -ve value or fractional value of x.
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Re: Quant Question of the Day Chat [#permalink]
How did we get to the equation 16x = yx +4?
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Re: Quant Question of the Day Chat [#permalink]
joe123x wrote:
How did we get to the equation 16x = yx +4?

Dividend = Divisor x Quotient + Remainder
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Mar 25 3 siblings - Alan, Betty and Carl - were the only ones to receive part of a \$300,000 inheritance. Did any of the three receive more than forty percent of the total inheritance? 1) Carl received a larger inheritance than Alan and a larger inheritance than Betty. 2) The combined total of Alan’s and Betty’s inheritances was equal to three times Betty’s inheritance. Source: EMPOWERGmat | Difficulty: Hard

anyone who solved this ? pls share an approach
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Re: Quant Question of the Day Chat [#permalink]
AbhinavKumar wrote:
anyone who solved this ? pls share an approach

You can refer to the official solution here- data-sufficiency-pack-4-question-4-3-siblings-alan-betty-and-carl-208874.html#p1606576

gmatophobia wrote:
DS Question 1 - Mar 25 3 siblings - Alan, Betty and Carl - were the only ones to receive part of a \$300,000 inheritance. Did any of the three receive more than forty percent of the total inheritance? 1) Carl received a larger inheritance than Alan and a larger inheritance than Betty. 2) The combined total of Alan’s and Betty’s inheritances was equal to three times Betty’s inheritance. Source: EMPOWERGmat | Difficulty: Hard

C

gmatophobia wrote:
PS Question 1 - Mar 25 x and y are positive integers. When 16x is divided by y, the quotient is x, and the remainder is 4. What is the sum of all possible y-values? A) 7 B) 12 C) 19 D) 26 E) 41 Source: GMAT Prep Now | Difficulty: Hard

E

DS Question 1 - Mar 26

If |a – b| = 6 and |b – c| = 15, then what is the value of |c|?

(1) |a – c| = 9
(2) |b| = 9

Source: EMPOWERGmat | Difficulty: Hard

PS Question 1 - Mar 26

In how many ways can the letters of the word "GRAPHITE" be rearranged such that the order in which the vowels appear does not change?

A. 8P3
B. 8C3 * 3!
C. 8C3
D. 8C3 * 5!
E. 8C3 * 3! * 5!

Source: Medium | Difficulty: Hard

Originally posted by gmatophobia on 26 Mar 2023, 03:10.
Last edited by gmatophobia on 26 Mar 2023, 03:16, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink]
PS Question 1 - Mar 26

In how many ways can the letters of the word "GRAPHITE" be rearranged such that the order in which the vowels appear does not change?

A. 8P3
B. 8C3 * 3!
C. 8C3
D. 8C3 * 5!
E. 8C3 * 3! * 5!

Source: Others | Difficulty: Medium

PS Question 1 - Mar 26

In how many ways can the letters of the word "GRAPHITE" be rearranged such that the order in which the vowels appear does not change?

A. 8P3
B. 8C3 * 3!
C. 8C3
D. 8C3 * 5!
E. 8C3 * 3! * 5!

Source: Others | Difficulty: Medium
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Mar 26 If |a – b| = 6 and |b – c| = 15, then what is the value of |c|? (1) |a – c| = 9 (2) |b| = 9 Source: EMPOWERGmat | Difficulty: Hard

E

gmatophobia wrote:
PS Question 1 - Mar 26 In how many ways can the letters of the word "GRAPHITE" be rearranged such that the order in which the vowels appear does not change? A. 8P3 B. 8C3 * 3! C. 8C3 D. 8C3 * 5! E. 8C3 * 3! * 5! Source: Others | Difficulty: Medium

D

PS Question 1 - Mar 28

A furniture manufacturer has two machines, but only one can be used at a time. Machine A is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine A can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?

A. 14
B. 13
C. 11
D. 9
E. 7

Source: GMAT Club Tests | Difficulty: Hard

DS Question 1 - Mar 28

If set S consists of the numbers n, -2, and 4, is the mean of set S greater than the median of set S ?

(1) n > 2
(2) n < 3

Source: Manhattan GMAT | Difficulty: Hard

Originally posted by gmatophobia on 28 Mar 2023, 02:36.
Last edited by gmatophobia on 28 Mar 2023, 02:37, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
E

Solution for this question ?
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Re: Quant Question of the Day Chat [#permalink]
rishabhg2712 wrote:
Solution for this question ?

You can refer the solution posted here - data-sufficiency-pack-3-question-4-if-a-b-208298.html#p2884446
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Re: Quant Question of the Day Chat [#permalink]
hello quick question: Julia purchased a car on an installment plan. She made a down payment of \$2,550 and then made n monthly payments of \$155 each. If Julia paid a total of \$9,060 for the car, how many monthly payments did she make?

I have 42 but answer is supposed to be 48

🤔

Julia purchased a car on an installment plan. She made a down payment of \$2,550 and then made n monthly payments of \$155 each. If Julia paid a total of \$9,060 for the car, how many monthly payments did she make?

A: 30
B: 36
C: 42
D: 48
E: 54

Originally posted by supernoob on 28 Mar 2023, 03:06.
Last edited by supernoob on 28 Mar 2023, 03:07, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
supernoob wrote:
I have 42 but answer is supposed to be 48

It cannot be. It has to be C: 42
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Re: Quant Question of the Day Chat [#permalink]
Exactly because after down payment, she is left with 6510. Which divides evenly by 155 and gives 42. If there would have been some interest on the remaining amount - then 48 would have been a possibility. As per above question, 42 should be the right answer
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Re: Quant Question of the Day Chat [#permalink]
ShrikunjAgrawal wrote:
Exactly because after down payment, she is left with 6510. Which divides evenly by 155 and gives 42. If there would have been some interest on the remaining amount - then 48 would have been a possibility. As per above question, 42 should be the right answer

It is mentioned that she payed 9050 total for the car , answer must be 42
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Re: Quant Question of the Day Chat [#permalink]
I agree but the test disagrees
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Re: Quant Question of the Day Chat [#permalink]
did they provide any explanation??
Re: Quant Question of the Day Chat [#permalink]
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