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Quant Question of the Day Chat

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bb
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Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 02 Aug 2023, 21:38
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Hello everyone and welcome to the GMAT Club's Quant Question of the Day

If you would like to join the Quant Question of the Day Chat Group,
Join the chat group here


Group moderator is gmatophobia
Welcome aboard! :thumbsup:

-BB

And I have some news for the group - I would like to welcome gmatophobia as the new Moderator of this chat group. Please give him a day or two to get situation and get this group going with posting questions as well as sharing any interesting posts and links. Welcome gmatophobia - you are the first Quant Chat group moderator we have had :angel:

Originally posted by bb on 20 Oct 2022, 20:57.
Last edited by bb on 02 Aug 2023, 21:38, edited 7 times in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   18 Feb 2024, 01:41
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Anirban_iimisb wrote:
Really struggling with number system.

Done with basics. Struggling with questions.

Any source of practising good questions for concept clarity .

Gmat club questions bank is huge .. unable to filter the right questions.

Please do help . Really stressed

­
You can practice questions on GMAT Club by exploring various forums and applying necessary filters:


Make sure you are signed in to access features like the timer and the error log. To access forum quizzes or GMAT Club Tests, a subscription is required. GMAT Club Tests are well-known for their challenging quantitative problems.

For quant resources and guide check:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

For Data Insights check Data Insights Forums.

You can find verbal resources in Verbal Guides and Resources

Hope it helps.­
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gmatophobia
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2022, 21:30
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bb wrote:
And I have some news for the group - I would like to welcome gmatophobia as the new Moderator of this chat group. Please give him a day or two to get situation and get this group going with posting questions as well as sharing any interesting posts and links. Welcome gmatophobia - you are the first Quant Chat group moderator we have had :angel:

Thank you bb for introduction. Looking forward to having an engaging discussion everyone ! While I will stick around here quite often, please feel free to tag me if required. :D
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 21 Oct 2022, 22:56
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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] Quant Question of the Day Chat   07 May 2024, 10:05
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Hey guys, if anyone is planning to subscribe to TTP we can both get 2 free weeks if you use my referral link: https://gmat.targettestprep.com/plans?r ... e=MTc4MTc4
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   22 Oct 2022, 05:35
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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] Quant Question of the Day Chat   03 Nov 2023, 19:29
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Can anyone explain how this is solved?
Given that 1+7+7^ 2 +...+7^ 8 =6,725,601, what does 7 ^ 9 equal? Answer: 6(6, 725, 601) + 1
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Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   05 Dec 2023, 23:48
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SHRAVYA007 wrote:
Gprabhumir, The radical sign does not imply that the root will be positive only. When dealing with square roots, for instance, it is common to consider both positive and negative roots. The symbol ’√’ itself represents the principal (positive) square root, but to account for both possibilities, we use the ’±’ symbol before the radical sign. This signifies both the positive and negative square roots of a number.


Gprabhumir
SHRAVYA007

That's not right.

Mathematically, \(\sqrt{...}\) is the square root sign, a function (called the principal square root function), which cannot give negative result. So, this sign (\(\sqrt{...}\)) always means non-negative square root.


The graph of the function f(x) = √x

Notice that it's defined for non-negative numbers and is producing non-negative results.

TO SUMMARIZE:
When the GMAT (and generally in math) provides the square root sign for an even root, such as a square root, fourth root, etc. then the only accepted answer is the non-negative root. That is:

√9 = 3, NOT +3 or -3;
\(\sqrt[4]{16} = 2\), NOT +2 or -2;

Notice that in contrast, the equation x^2 = 9 has TWO solutions, +3 and -3. Because x^2 = 9 means that x =-√9 =-3 or x = √9 = 3.

Hope it helps.

Check this forum link to see the formulae properly: https://gmatclub.com/forum/quant-chat-g ... l#p3311523
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   09 Apr 2024, 00:12
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the prob will always be 1 for the Qty A as it will aways contain multiple of 2^2 (4) and 5 and will always be divisible by 20, so ans will be c
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   10 Apr 2024, 04:47
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so, the possible numbers would be 0.1414..., 0.2323.., 0.0505..

converting them to fractions would give 14/99, 23/99 and 5/99 sum of which is 14/33
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   21 Oct 2022, 13:35
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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] Quant Question of the Day Chat   Updated on: 21 Oct 2022, 23:12
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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] Quant Question of the Day Chat   23 Oct 2022, 20:56
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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] Quant Question of the Day Chat   25 Oct 2022, 00:24
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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
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   06 Nov 2022, 03:54
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gmatophobia wrote:
PS Question of the day

N = 10^{40} + 2^{40}. 2^k is a divisor of N, but 2^{k+1} is not a divisor of N. If k is a positive integer, what is the value of k-2 ?

A) 38
B) 39
C) 40
D) 41
E) 42

Source: GMATPrepNow | Difficulty: Hard

Answer: B

10^40 + 2^40 = 2^40 {5^40 + 1}

Now, 5^40 + 1 will end in Units Place of 6 which is also divisible by 2 so we will have

= 2^41 {Some expression} => k = 41, so k-2 = 39

==2
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   10 Nov 2022, 04:17
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sv2023 wrote:
Hi does anybody have any pointers on how to get better at geometry? I struggle a lot at it, i do know the concepts but the application is what I am weak it. I am open to any book/video suggestions to bring myself upto speed.


Check geometry chapter in our Ultimate GMAT Quantitative Megathread: https://gmatclub.com/forum/ultimate-gma ... 44512.html You can find theory articles as well as collections of questions on geometry.

Hope it helps.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   06 Dec 2022, 10:32
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Hi everyone, I am sure you have seen the banners but just in case did not want anyone to miss. Here is a personalized invitation to the 12 Days of Christmas GMAT Competition with $30,000 of prizes. It is coming to GMAT Club. Registration is open and the competition starts on Dec 14th! Join for some good fun with GMAT questions - you will see awesome new questions never before published 🤩

12-days-of-christmas-gmat-competition-sign-up-to-win-prizes-403036.html
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   09 Dec 2022, 17:38
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bb wrote:
Hello everyone and welcome to the GMAT Club's Quant Question of the Day

If you would like to join the Quant Question of the Day Chat Group,
Join the chat group here


Group moderator is gmatophobia
Welcome aboard! :thumbsup:

-BB

And I have some news for the group - I would like to welcome gmatophobia as the new Moderator of this chat group. Please give him a day or two to get situation and get this group going with posting questions as well as sharing any interesting posts and links. Welcome gmatophobia - you are the first Quant Chat group moderator we have had :angel:


This is so helpful. thank you for taking such great initiative!!
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   09 Dec 2022, 22:12
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Arya1556 wrote:
Which of the following ratio is most nearly equal to the ratio 2√ 5-1 to 4
(A) 19 to 20
(B) 35 to 40
(C) 17 to 20
(D) 33 to 40
(E) 16 to 20

C
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   09 Dec 2022, 22:56
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gmatophobia wrote:
PS Question 1 - Dec 09

The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in four colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?

A. 24
B. 32
C. 48
D. 60
E. 192

Source: Manhattan GMAT | Difficulty : Hard

2 Models with 4 colour options each, we need to pick 3 with some constraint...-
ways of choosing this stuff
case1: pick all three of A or B = 4C3 * 2 = 8
case2: pick 2 from A and 1 from B (or vice-versa) = 4C2 * 2C1 * 2 = 24

Total = 8 + 24 ways = 32 ways

option B ?
gmatclubot
Re: Quant Question of the Day Chat [#permalink]
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