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Re: Quant Question of the Day Chat [#permalink]
Here’s the PS Question of the day. Solve to kudos ;)

And the DS Question of the day

Link to massive quant resource: all-you-need-for-quant-140445.html

Originally posted by gmatophobia on 21 Oct 2022, 03:22.
Last edited by gmatophobia on 21 Oct 2022, 03:25, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
1
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Expert Reply
Difficulty Level: Hard | Source: GMAT Club Tests

Is 7^7 / 7^x an integer?
S1) 0 ≤ x ≤ 7
S2) |x| = x^2
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Re: Quant Question of the Day Chat [#permalink]
3
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bb wrote:
Difficulty Level: Hard | Source: GMAT Club Tests

Is 7^7 / 7^x an integer?
S1) 0 ≤ x ≤ 7
S2) |x| = x^2

B ? (Yes or not type of question)

S1 -> x could be an int or fraction. If x = 2 ( we get yes that

bb wrote:
Difficulty Level: Hard | Source: GMAT Club Tests

Is 7^7 / 7^x an integer?
S1) 0 ≤ x ≤ 7
S2) |x| = x^2

B
It is a Yes/No type DS ques
(Let 7^7/7^x = A)

Stmt 1 -> x could be an integer or fraction in this case.

If x is an integer between 0 and 7, we get YES that A is an integer

If x is not an integer between 0 and 7, we get NO that A is not an integer

Hence, not sufficient


Stmt 2 - |x| = x^2

Using this we get 2 cases ->
Case 1: x = x^2 --> x(x-1) = 0 --> x = 0,1

Case 2: x = -x^2 --> x(x+1) = 0 -->x = 0,-1

So x has 3 values = -1,0 and 1

Using all these 3 values we get a YES that A is an integer as in all the cases of x we get an integer.

Hence, sufficient.

Originally posted by ChandlerBong on 21 Oct 2022, 22:49.
Last edited by ChandlerBong on 21 Oct 2022, 22:56, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
1
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WolfOfStark7 wrote:
bb wrote:
Difficulty Level: Hard | Source: GMAT Club Tests

Is 7^7 / 7^x an integer?
S1) 0 ≤ x ≤ 7
S2) |x| = x^2

B
It is a Yes/No type DS ques
(Let 7^7/7^x = A)

Stmt 1 -> x could be an integer or fraction in this case.

If x is an integer between 0 and 7, we get YES that A is an integer

If x is not an integer between 0 and 7, we get NO that A is not an integer

Hence, not sufficient


Stmt 2 - |x| = x^2

Using this we get 2 cases ->
Case 1: x = x^2 --> x(x-1) = 0 --> x = 0,1

Case 2: x = -x^2 --> x(x+1) = 0 -->x = 0,-1

So x has 3 values = -1,0 and 1

Using all these 3 values we get a YES that A is an integer as in all the cases of x we get an integer.

Hence, sufficient.

Awesome explanation @WolkOfStark7 :thumbsup:

Here is another one for all -

The length of the median BD in triangle ABC is 12 centimeters, what is the length of side AC?

S1) ABC is an isosceles triangle.
S2) AC^2 = AB^2 + BC^2

Difficulty Level: Hard | Source: GMAT Club Tests

Originally posted by gmatophobia on 21 Oct 2022, 23:11.
Last edited by gmatophobia on 21 Oct 2022, 23:12, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
1
Kudos
1
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Here is a tricky algebra (absolute value) question for today.

If X and Y are positive integers, is X a prime number?

S1) | X - 2 | < 2 - Y
S2) X + Y - 3 = | 1 - Y |

Difficulty Level: Hard | Source: GMAT Club Tests
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Re: Quant Question of the Day Chat [#permalink]
Solve Challenging Time, Speed, & Distance Questions Handpicked by Bunuel

Date & Time: Sunday, Oct 23, 10:30am New York / 3:30pm London / 8pm Mumbai

YouTube Link: https://gmatclub.com/forum/redirect.php?id=z9f3g1tban
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Re: Quant Question of the Day Chat [#permalink]
Expert Reply
If m, n and p are positive integers such that (p^m)^n=256, which of the following could be the value of nn?

I. 1
II. 2
III. 4

A. I and II
B. I and III
C. II and III
D. II only
E. I, II and III

I never liked those Roman Numeral questions frankly.... :angel:
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Re: Quant Question of the Day Chat [#permalink]
bb wrote:
If m, n and p are positive integers such that (p^m)^n=256, which of the following could be the value of nn?

I. 1
II. 2
III. 4

A. I and II
B. I and III
C. II and III
D. II only
E. I, II and III

Value of nxn?
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Re: Quant Question of the Day Chat [#permalink]
Half an hour to go folks !!

Solve Challenging Time, Speed, & Distance Questions Handpicked by Bunuel

Date & Time: Sunday, Oct 23, 10:30am New York / 3:30pm London / 8pm Mumbai
YouTube Link: https://gmatclub.com/forum/redirect.php?id=z9f3g1tban
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Re: Quant Question of the Day Chat [#permalink]
Quick Handout for Time, Speed and Distance problems by Narenn - https://gmatclub.com/forum/time-speed-and-distance-simplified-150163.html
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Re: Quant Question of the Day Chat [#permalink]
Expert Reply
Join the Live Quant Quiz on YouTube redirect.php?id=z9f3g1tban
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Re: Quant Question of the Day Chat [#permalink]
1
Kudos
Happy Monday Everyone !!

Let’s kill the Monday Blue with a P&C question (more questions on the way :) )

John has 12 clients and he wants to use color coding to identify each client. If either a single color or a pair of two different colors can represent a client code, what is the minimum number of colors needed for the coding? Assume that changing the color order within a pair does not produce different codes.

A. 24
B. 12
C. 7
D. 6
E. 5

Source: GMATClubTest | Difficulty Level : Medium
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Re: Quant Question of the Day Chat [#permalink]
Wishing Happy Diwali to everyone who is celebrating today.

This Monday, GMAT Club Tests will be Absolutely Free! Including all the Quizzes, Questions, and Tests. 12 AM - 11:59 PM PDT
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Re: Quant Question of the Day Chat [#permalink]
Question of the day (Woops another P&C question :D) :

There are n grandmasters in a certain chess tournament and each grandmaster should play each of the other grandmasters exactly once. Two of the grandmasters, after playing 5 games each, left the tournament but the remaining grandmasters still continued playing. If, at the end of the tournament, the total number of games played was 45, then what is the value of n ?

A. 11
B. 12
C. 13
D. 14
E. It cannot be determined from the information given.

Source: GMATClubTest | Difficulty : Hard

P.S - Share your solutions :)

An one from functions

If 2f(x) + f(x^2 - 1) = 1, for all x, then what is the value of f(-root(2))?

A. -1/3
B. 0
C. 1/3
D. 2/3
E. 1

Link to the question

Originally posted by gmatophobia on 24 Oct 2022, 01:36.
Last edited by gmatophobia on 24 Oct 2022, 01:44, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
Hello Everyone,

I have posted my solutions for today’s questions on the main thread (links given below)

Note: These are not the official solutions, infact I even don’t know if they I attempted them correct in the first place :D

It will be great to see more solutions posted on the main thread or in here. So what are you waiting for - go ahead and give the questions a try. As the OA will not release until next week we can brainstorm our workings on the chat group. What say :)

Link to the questions:

Question 1

Question 2

DS Question of the day - 1

What is the product of 6 consecutive integers?

S1) The greatest integer is 4
S2) The sequence has both positive and negative integers

Difficulty Level: Medium | Source: GMAT Club Tests

Link to the question

DS Question of the day - 2

What was the average number of miles per gallon of gasoline for a car during a certain trip?

(1) The total cost of the gasoline used by the car for the 200-mile trip was $31.50
(2) The cost of the gasoline used by the car for the trip was $2.10 per gallon

Difficulty Level: Medium | Source: Others

Link to the question

Hello Everyone,

I have posted my solutions for today’s questions.

Note: These are not the official solutions, infact I even don’t know if they I attempted them correct :D.

It will be great to see more solutions posted on the main thread or in here, so what are you waiting for - go ahead and give the questions a try. As the OA will not release until next week ( :cry: ) we can brainstorm our workings in here. What say :)

Link to the questions:

Question 1
Question 2

Originally posted by gmatophobia on 24 Oct 2022, 09:21.
Last edited by gmatophobia on 24 Oct 2022, 09:29, edited 3 times in total.
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Re: Quant Question of the Day Chat [#permalink]
Here the concept of the day -

Link: Remainders on the GMAT

Wohoo! What’s this ?

Every Tuesday, Thursday and Saturday I will post an article, of course the best ones that are out on GMATClub, on a particular quant concept and few questions related to that concept later during the day for us to practice.

Sounds Interesting :) Let’s gear up fellas !

P.S. - Please remind me incase I forget to post one :D

Also, if there is any specific topic or content you would like to see in here, feel free to let me know.
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Re: Quant Question of the Day Chat [#permalink]
1
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Problem Solving - Q1

If m and n are positive integers, and the remainder when m is divided by n is equal to the remainder when n divided by m, then which of the following could be the value of m*n?

I. 12
II. 24
III. 36

A. I only
B. II only
C. III only
D. I and III only
E. II and II only

Link

Source: GMATClubTests | Difficulty : Medium

Problem Solving - Q2

When a positive integer x is divided by d, the remainder is 241 and when 2x is divided by d, the remainder is 112. What is the value of the d ?

A. 129
B. 258
C. 353
D. 370
E. 706

Link

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