Last visit was: 27 Sep 2024, 09:26 It is currently 27 Sep 2024, 09:26
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

When 26 is divided by K, the remainder is K-2, k >= 2 , k=?

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
Lester
Intern
Intern
Joined: 09 Mar 2021
Posts: 13
Own Kudos [?]: 27 [10]
Given Kudos: 1
Send PM
When 26 is divided by K, the remainder is K-2, k >= 2 , k=? [#permalink] New post   Updated on: 15 Aug 2024, 12:33
4
6
Bookmarks
00:00

Question Stats:

7% (01:51) correct 92% (01:49) wrong based on 13 sessions

Hide Show timer Statistics

When 26 is divided by K, the remainder is K-2. K >= 2


Quantity A
Quantity B
Sum of all possible values of K
55



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
ShowHide Answer
Official Answer
A

Originally posted by Lester on 09 Mar 2021, 21:08.
Last edited by Carcass on 15 Aug 2024, 12:33, edited 1 time in total.
Fixed OA
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3136 [2]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: When 26 is divided by K, the remainder is K-2, k >= 2 , k=? [#permalink] New post   09 Mar 2021, 23:33
2
Lester wrote:
When 26 is divided by K, the remainder is K-2. K >= 2


Quantity A
Quantity B
Sum of all possible values of K
55



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Any number \(N\) when divided by divisor \(x\) can be written as: \(N = xQ + Remainder\)

Here, \(26 = KQ + (K - 2)\)
i.e. \(26 + 2 = K (Q + 1)\)
\(K = \frac{28}{(Q + 1)}\)

When \(Q = 0\), \(K = 28\)
When \(Q = 1\), \(K = 14\)
When \(Q = 3\), \(K = 07\)
When \(Q = 6\), \(K = 04\)
When \(Q = 13\), \(K = 02\)
When \(Q = 27\), \(K = 01\)

Col. A: Sum of all possible values of k is \(56\)
Col. B: \(55\)

Hence, option A
avatar
Lester
Intern
Intern
Joined: 09 Mar 2021
Posts: 13
Own Kudos [?]: 27 [0]
Given Kudos: 1
Send PM
Re: When 26 is divided by K, the remainder is K-2, k >= 2 , k=? [#permalink] New post   10 Mar 2021, 02:52
thank you so much !
avatar
S
COolguy101
Senior Manager
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Own Kudos [?]: 162 [0]
Given Kudos: 81
Concentration: , International Business
Send PM
Re: When 26 is divided by K, the remainder is K-2, k >= 2 , k=? [#permalink] New post   30 May 2021, 01:09
KarunMendiratta wrote:
Lester wrote:
When 26 is divided by K, the remainder is K-2. K >= 2


Quantity A
Quantity B
Sum of all possible values of K
55



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Any number \(N\) when divided by divisor \(x\) can be written as: \(N = xQ + Remainder\)

Here, \(26 = KQ + (K - 2)\)
i.e. \(26 + 2 = K (Q + 1)\)
\(K = \frac{28}{(Q + 1)}\)

When \(Q = 0\), \(K = 28\)
When \(Q = 1\), \(K = 14\)
When \(Q = 3\), \(K = 07\)
When \(Q = 13\), \(K = 04\)
When \(Q = 27\), \(K = 02\)

Col. A: Sum of all possible values of k is \(55\)
Col. B: \(55\)

Hence, option C


When \(Q = 13\), \(K = 02\)
When \(Q = 27\), \(K = 0\), Is not it sir?
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3136 [0]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: When 26 is divided by K, the remainder is K-2, k >= 2 , k=? [#permalink] New post   30 May 2021, 01:32
kumarneupane4344 wrote:
KarunMendiratta wrote:
Lester wrote:
When 26 is divided by K, the remainder is K-2. K >= 2


Quantity A
Quantity B
Sum of all possible values of K
55



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Any number \(N\) when divided by divisor \(x\) can be written as: \(N = xQ + Remainder\)

Here, \(26 = KQ + (K - 2)\)
i.e. \(26 + 2 = K (Q + 1)\)
\(K = \frac{28}{(Q + 1)}\)

When \(Q = 0\), \(K = 28\)
When \(Q = 1\), \(K = 14\)
When \(Q = 3\), \(K = 07\)
When \(Q = 13\), \(K = 04\)
When \(Q = 27\), \(K = 02\)

Col. A: Sum of all possible values of k is \(55\)
Col. B: \(55\)

Hence, option C


When \(Q = 13\), \(K = 02\)
When \(Q = 27\), \(K = 0\), Is not it sir?


Correct Sir, I have made the necessary changes.
The OA must be A
avatar
B
YoshS
Intern
Intern
Joined: 09 Aug 2024
Posts: 6
Own Kudos [?]: 3 [0]
Given Kudos: 107
Send PM
Re: When 26 is divided by K, the remainder is K-2, k >= 2 , k=? [#permalink] New post   15 Aug 2024, 11:24
KarunMendiratta wrote:
Lester wrote:
When 26 is divided by K, the remainder is K-2. K >= 2


Quantity A
Quantity B
Sum of all possible values of K
55



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Any number \(N\) when divided by divisor \(x\) can be written as: \(N = xQ + Remainder\)

Here, \(26 = KQ + (K - 2)\)
i.e. \(26 + 2 = K (Q + 1)\)
\(K = \frac{28}{(Q + 1)}\)

When \(Q = 0\), \(K = 28\)
When \(Q = 1\), \(K = 14\)
When \(Q = 3\), \(K = 07\)
When \(Q = 6\), \(K = 04\)
When \(Q = 13\), \(K = 02\)
When \(Q = 27\), \(K = 01\)

Col. A: Sum of all possible values of k is \(56\)
Col. B: \(55\)

Hence, option A
Question says K>=2 when q=27 then k=1 this value of k shall not be added to the sum as that fails the condition that k>=2. The sum then of all the possible values comes to be 55 hence, the answer should be C
Prep Club for GRE Bot
gmatclubot
Re: When 26 is divided by K, the remainder is K-2, k >= 2 , k=? [#permalink]
15 Aug 2024, 11:24
Moderators:
adewale223
GRE Instructor
76 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1107 posts
VibhuAnurag
GRE Instructor
222 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact