Last visit was: 11 Sep 2024, 16:06 It is currently 11 Sep 2024, 16:06
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
Close
GMAT 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 GMAT 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

Quant Question of the Day Chat

SORT BY:
Date
Kudos
   1  ...  57   58   59   60   61  ...  326   
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
P
mysterymanrog
CR Forum Moderator
Joined: 25 Jan 2022
Posts: 824
Own Kudos [?]: 659 [0]
Given Kudos: 559
Location: Italy
Schools: HEC (A) LBS (D) ESSEC (A)
GPA: 3.8
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 10 May 2023, 03:32
gmatophobia
PS Question 1 - May 10 Which of the following is/are true? I. |3x - 19| > 5 - x holds for all values of x. II. There is no value of x for which |2x - 10| < 4 - x holds. III. -|5x - 23| is negative for all values of x. A. None B. I only C. I and II only D. I and III only E. I, II and III Source: Expert’s Global | Difficulty: Hard
This is a good question that benefits from "leveraging" answer choices.
Consider the third statement: If we have x=23/5, it becomes 0 which is non negative. This allows us to eliminate E and D instantly.

2 can be easily considered by looking at extrema: the lhs has value 0 for x=5, but rhs is still bigger. For large negative values, the lhs is clearly larger than the rhs, and for large positive rhs will always be negative, and lhs is always non negative by construction. Statement 2 must be true.

Since of all choices, only C has statement 2 withiut statement 3, it must be true

gmatophobia
DS Question 1 - May 10 If m and n are non-negative integers, what is the units digit of 5^m + 6^n? (1) m + n > 2 (2) mn > 0 Source: GMAT Club Tests | Difficulty: Medium
Take note that it states m and n are non negative integers. In other words, m and n can be 0,1,2....
Also note that any number with 5 in tbe units digit will always have 5, if it taised to a positive power. The same applies to 6 (always 6 if pos power).
Statement 1 is a trap. Consider the case of m=0, n=3. We would have units digit of 6. But if m=2, n=3, unjts digit of 1.
Statement 2 works. It will always be 1 units digit since it will be 5+6 in the units place.
B.

Originally posted by mysterymanrog on 10 May 2023, 03:28.
Last edited by mysterymanrog on 10 May 2023, 03:32, edited 1 time in total.
User avatar
L
gmatophobia
Quant Chat Moderator
Joined: 22 Dec 2016
Posts: 3128
Own Kudos [?]: 5760 [0]
Given Kudos: 1859
Location: India
Concentration: Strategy, Leadership
Send PM
CAT Tests Forum Quiz Mode
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   10 May 2023, 04:07
Mooohit987
can anybody guide me how can i cover good modulus inequalities question
Here are couple of links that you may want to check out.

The first covers theory and the next two practice questions on inequalities -

different-methods-to-solve-absolute-value-equations-and-inequalities-276031.html
50-gmat-data-sufficiency-questions-on-inequalities-167841.html
trickiest-inequality-questions-type-confusing-ranges-255151.html
User avatar
gunjan_iocl
Intern
Intern
Joined: 07 May 2023
Posts: 6
Own Kudos [?]: 2 [0]
Given Kudos: 1
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   10 May 2023, 06:17
gunjan_iocl
E
sorry C woul dbe the answer. did not reckon x can be a fraction value too
User avatar
S
Saakshi2407
Manager
Manager
Joined: 09 Mar 2023
Posts: 51
Own Kudos [?]: 32 [0]
Given Kudos: 57
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 10 May 2023, 23:00
mysterymanrog
Take note that it states m and n are non negative integers. In other words, m and n can be 0,1,2.... Also note that any number with 5 in tbe units digit will always have 5, if it taised to a positive power. The same applies to 6 (always 6 if pos power). Statement 1 is a trap. Consider the case of m=0, n=3. We would have units digit of 6. But if m=2, n=3, unjts digit of 1. Statement 2 works. It will always be 1 units digit since it will be 5+6 in the units place. B.
How about a fraction power? 1/2 power will be 2.xx; 1/3 will be 1.xx for both 5 & 6 considering 2^2 = 4 & 2^3 = 8; 6 lies between 5&6 lie between 4&8

C

*Lies between 4&8 for both 5&6

Originally posted by Saakshi2407 on 10 May 2023, 22:57.
Last edited by Saakshi2407 on 10 May 2023, 23:00, edited 2 times in total.
User avatar
L
gmatophobia
Quant Chat Moderator
Joined: 22 Dec 2016
Posts: 3128
Own Kudos [?]: 5760 [0]
Given Kudos: 1859
Location: India
Concentration: Strategy, Leadership
Send PM
CAT Tests Forum Quiz Mode
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 11 May 2023, 01:38
gmatophobia
DS Question 1 - May 10 If m and n are non-negative integers, what is the units digit of 5^m + 6^n? (1) m + n > 2 (2) mn > 0 Source: GMAT Club Tests | Difficulty: Medium
Show SpoilerOA
B

gmatophobia
PS Question 1 - May 10 Which of the following is/are true? I. |3x - 19| > 5 - x holds for all values of x. II. There is no value of x for which |2x - 10| < 4 - x holds. III. -|5x - 23| is negative for all values of x. A. None B. I only C. I and II only D. I and III only E. I, II and III Source: Expert’s Global | Difficulty: Hard
Show SpoilerOA
C

DS Question 1 - May 11

Is |2a − 3b| < |a − b| + |a − 2b|?

(1) b = 3
(2) a < b

Source: Others | Difficulty: Hard

DS Question 1 - May 11

A rectangular solid, x by y by z, is inscribed in a sphere, so that all eight of its vertices are on the sphere. If x, y and z are positive integers, and the radius of the sphere is √14/2, what is the volume of the rectangular solid?

A. 6
B. 11
C. 12
D. 18
E. 22

Source: GMAT Club Test | Difficulty: Hard

PS Question 1 - May 11

A rectangular solid, x by y by z, is inscribed in a sphere, so that all eight of its vertices are on the sphere. If x, y and z are positive integers, and the radius of the sphere is √14/2, what is the volume of the rectangular solid?

A. 6
B. 11
C. 12
D. 18
E. 22

Source: GMAT Club Test | Difficulty: Hard

Originally posted by gmatophobia on 11 May 2023, 01:27.
Last edited by gmatophobia on 11 May 2023, 01:38, edited 3 times in total.
User avatar
gunjan_iocl
Intern
Intern
Joined: 07 May 2023
Posts: 6
Own Kudos [?]: 2 [0]
Given Kudos: 1
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   11 May 2023, 03:47
gmatophobia
DS Question 1 - May 11 Is |2a − 3b| < |a − b| + |a − 2b|? (1) b = 3 (2) a < b Source: Others | Difficulty: Hard
can someone explain solution to thi
User avatar
B
Piyush1105
Intern
Intern
Joined: 10 Apr 2023
Posts: 16
Own Kudos [?]: 4 [0]
Given Kudos: 7
Location: India
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 11 May 2023, 04:42
It is based on the modulus concept:
Equality will hold if (a-b) & (a-2b) are of the same sign. If (a-b) & (a-2b) are of different sign then LHS=RHS. So, basically, we have to find relative sign of (a-b) & (a-2b).

(1) b=3 so. (a-3) and (a-6) Now depending on value of a both quantities can be -,- ; +,- ; or +, +.
So we don’t know hence, options D and A ruled out

(2) (a-b) < 0 But. (a-2b) can be both positive and negative depending on value of b. So, option B ruled out.

(Combined) Given (a-3) < 0. So (a-6) will also be negative. Implies both quantities are negative which means equality will hold. So, we have an answer.

I think answer is (C) 😊

It is based on the modulus concept:
Equality will hold if (a-b) & (a-2b) are of the same sign. If (a-b) & (a-2b) are of different sign then LHS < RHS. So, basically, we have to find relative sign of (a-b) & (a-2b).

(1) b=3 so. (a-3) and (a-6) Now depending on value of a both quantities can be -,- ; +,- ; or +, +.
So we don’t know hence, options D and A ruled out

(2) (a-b) < 0 But. (a-2b) can be both positive and negative depending on value of b. So, option B ruled out.

(Combined) Given (a-3) < 0. So (a-6) will also be negative. Implies both quantities are negative which means equality will hold. So, we have an answer.

I think answer is (C) 😊

*Correction

Originally posted by Piyush1105 on 11 May 2023, 04:40.
Last edited by Piyush1105 on 11 May 2023, 04:42, edited 1 time in total.
User avatar
G
wickedvikram
Manager
Manager
Joined: 08 Jun 2008
Posts: 179
Own Kudos [?]: 102 [0]
Given Kudos: 79
Location: India
Concentration: Finance, General Management
Send PM
GMAT ToolKit User Reviews Badge
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 11 May 2023, 10:47
gmatophobia
DS Question 1 - May 11 Is |2a − 3b| < |a − b| + |a − 2b|? (1) b = 3 (2) a < b Source: Others | Difficulty: Hard
B

gmatophobia
PS Question 1 - May 11 A rectangular solid, x by y by z, is inscribed in a sphere, so that all eight of its vertices are on the sphere. If x, y and z are positive integers, and the radius of the sphere is √14/2, what is the volume of the rectangular solid? A. 6 B. 11 C. 12 D. 18 E. 22 Source: GMAT Club Test | Difficulty: Hard
A

gunjan_iocl
can someone explain solution to thi
stmt 1: b=3
you will get 4 intervals. a<3, 3<a<4.5, 4.5<a<6, a>6
eqn will be false for a<3 & a>6 and true for 3<a<4.5, 4.5<a<6
Not sufficient
stmt 2 a<b; eqn will be always false; sufficient

Originally posted by wickedvikram on 11 May 2023, 10:39.
Last edited by wickedvikram on 11 May 2023, 10:47, edited 1 time in total.
User avatar
B
Piyush1105
Intern
Intern
Joined: 10 Apr 2023
Posts: 16
Own Kudos [?]: 4 [0]
Given Kudos: 7
Location: India
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   12 May 2023, 06:12
gmatophobia
DS Question 1 - May 11 Is |2a − 3b| < |a − b| + |a − 2b|? (1) b = 3 (2) a < b Source: Others | Difficulty: Hard
What is the correct answer?
User avatar
G
wickedvikram
Manager
Manager
Joined: 08 Jun 2008
Posts: 179
Own Kudos [?]: 102 [0]
Given Kudos: 79
Location: India
Concentration: Finance, General Management
Send PM
GMAT ToolKit User Reviews Badge
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   12 May 2023, 22:25
Piyush1105
What is the correct answer?
C is the right answer. There is detailed discussion in the forum by various experts.
is-2a-3b-a-b-a-2b-1-b-3-2-a-b-136682.html
User avatar
L
gmatophobia
Quant Chat Moderator
Joined: 22 Dec 2016
Posts: 3128
Own Kudos [?]: 5760 [0]
Given Kudos: 1859
Location: India
Concentration: Strategy, Leadership
Send PM
CAT Tests Forum Quiz Mode
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 12 May 2023, 23:52
gmatophobia
DS Question 1 - May 11 Is |2a − 3b| < |a − b| + |a − 2b|? (1) b = 3 (2) a < b Source: Others | Difficulty: Hard
Show SpoilerOA
C

gmatophobia
PS Question 1 - May 11 A rectangular solid, x by y by z, is inscribed in a sphere, so that all eight of its vertices are on the sphere. If x, y and z are positive integers, and the radius of the sphere is √14/2, what is the volume of the rectangular solid? A. 6 B. 11 C. 12 D. 18 E. 22 Source: GMAT Club Test | Difficulty: Hard
Show SpoilerOA
A

PS Question 1 - May 13[b]

Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?

(1) She spent more than $6 on buying oranges

(2) She spent less than $10 on buying oranges

Source: eGMAT | Difficulty: Medium

[b] DS Question 1 - May 13

Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?

(1) She spent more than $6 on buying oranges

(2) She spent less than $10 on buying oranges

Source: eGMAT | Difficulty: Medium

PS Question 1 - May 13

If X > X / |X| , Which of the following gives solution set of integer X?
A. X > 1
B. X > -1
C. |X| < 1
D. |X| = 1
E. |X|^2 > 1

Source: Others | Difficulty: Medium

Originally posted by gmatophobia on 12 May 2023, 23:46.
Last edited by gmatophobia on 12 May 2023, 23:52, edited 3 times in total.
User avatar
P
AbhinavKumar
Manager
Manager
Joined: 21 Feb 2020
Posts: 201
Own Kudos [?]: 166 [0]
Given Kudos: 347
Location: India
Concentration: Finance, Leadership
GMAT 1: 640 Q46 V32
GMAT 2: 670 Q48 V34
WE:Information Technology (Consulting)
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 13 May 2023, 00:13
gmatophobia
DS Question 1 - May 13 Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy? (1) She spent more than $6 on buying oranges (2) She spent less than $10 on buying oranges Source: eGMAT | Difficulty: Medium
option A , she bought one apple

gmatophobia
PS Question 1 - May 13 If X > X / |X| , Which of the following gives solution set of integer X? A. X > 1 B. X > -1 C. |X| < 1 D. |X| = 1 E. |X|^2 > 1 Source: Others | Difficulty: Medium
A

Originally posted by AbhinavKumar on 13 May 2023, 00:10.
Last edited by AbhinavKumar on 13 May 2023, 00:13, edited 1 time in total.
User avatar
Europass
Intern
Intern
Joined: 12 May 2023
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   13 May 2023, 05:19
gmatophobia
PS Question 1 - May 13 If X > X / |X| , Which of the following gives solution set of integer X? A. X > 1 B. X > -1 C. |X| < 1 D. |X| = 1 E. |X|^2 > 1 Source: Others | Difficulty: Medium
B , solve by mod X = +x , -x for x>0 & x<0 respectively
User avatar
P
mysterymanrog
CR Forum Moderator
Joined: 25 Jan 2022
Posts: 824
Own Kudos [?]: 659 [0]
Given Kudos: 559
Location: Italy
Schools: HEC (A) LBS (D) ESSEC (A)
GPA: 3.8
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   13 May 2023, 11:02
gmatophobia
DS Question 1 - May 13 Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy? (1) She spent more than $6 on buying oranges (2) She spent less than $10 on buying oranges Source: eGMAT | Difficulty: Medium
1) more than 6 dollars on oranges. We know that it cannot be 10 dollars on oranges, as she purchased at least one apple. Therefore the only possible combination is 8 dollars of oranges, and 2 dollars of apples.
2) Clearly NS. Consider the case of 2 dollars on oranges. and 8 on apples or the reverse.

A.
User avatar
G
wickedvikram
Manager
Manager
Joined: 08 Jun 2008
Posts: 179
Own Kudos [?]: 102 [0]
Given Kudos: 79
Location: India
Concentration: Finance, General Management
Send PM
GMAT ToolKit User Reviews Badge
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   13 May 2023, 16:24
Europass
B , solve by mod X = +x , -x for x>0 & x<0 respectively
apply numbers. This is straightforward
User avatar
B
Mooohit987
Intern
Intern
Joined: 10 Apr 2022
Posts: 14
Own Kudos [?]: 1 [0]
Given Kudos: 91
Location: India
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   14 May 2023, 01:12
Hello friends,
can anybody please share the link for questions to practise on topics standard deviation and averages
avatar
P
0Lucky0
Senior Manager
Senior Manager
Joined: 24 Dec 2022
Posts: 273
Own Kudos [?]: 149 [0]
Given Kudos: 222
Send PM
CAT Tests
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 14 May 2023, 08:45
115^2 = 11*12 25 = 13225

0Lucky0
115^2 = 11*12 25 = 13225
If possible, can someone please explain this shortcut to me and how to use this? Thanks :)

mysterymanrog, Do you know? :)

mysterymanrog

oops, sorry, I figured it out. No need to explain anymore. :P Thank you everyone. :) Cheers :)

Originally posted by 0Lucky0 on 14 May 2023, 08:37.
Last edited by 0Lucky0 on 14 May 2023, 08:45, edited 4 times in total.
User avatar
B
Ngocvb10
Intern
Intern
Joined: 30 Apr 2023
Posts: 5
Own Kudos [?]: 1 [0]
Given Kudos: 5
Location: Viet Nam
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   15 May 2023, 00:14
hi i ’m just new to the gmat quant. I’m doing some of the 700-questions and found them quite hard to solve under 1m30s. How long should it take to answer these questions?
User avatar
L
gmatophobia
Quant Chat Moderator
Joined: 22 Dec 2016
Posts: 3128
Own Kudos [?]: 5760 [0]
Given Kudos: 1859
Location: India
Concentration: Strategy, Leadership
Send PM
CAT Tests Forum Quiz Mode
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 15 May 2023, 00:46
gmatophobia
DS Question 1 - May 13 Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy? (1) She spent more than $6 on buying oranges (2) She spent less than $10 on buying oranges Source: eGMAT | Difficulty: Medium
Show SpoilerOA
A

gmatophobia
PS Question 1 - May 13 If X > X / |X| , Which of the following gives solution set of integer X? A. X > 1 B. X > -1 C. |X| < 1 D. |X| = 1 E. |X|^2 > 1 Source: Others | Difficulty: Medium
Show SpoilerOA
A

PS Question 1 - May 15

When the digits of two-digit positive integer M are reversed, the result is two-digit positive integer N. Which of the following cannot be a factor of M^2+N^2?

A. 17
B. 29
C. 40
D. 73
E. 101

Source: Veritas Prep | Difficulty: Hard

DS Question 1 - May 15

If 1 < x < 2, is x a terminating decimal?

(1) 22x is an integer.

(2) 56x is an integer.

Source: Expert’s Global | Difficulty : Hard

Originally posted by gmatophobia on 15 May 2023, 00:45.
Last edited by gmatophobia on 15 May 2023, 00:46, edited 1 time in total.
User avatar
B
crucifier
Intern
Intern
Joined: 09 Apr 2022
Posts: 26
Own Kudos [?]: 7 [0]
Given Kudos: 16
Location: India
Schools: Haas '27 Johnson '27 McCombs '27 Tepper '27 Anderson '27 Tuck '27 NUS '27
GRE 1: Q167 V164
GPA: 9.02
Send PM
Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 15 May 2023, 10:40
gmatophobia
DS Question 1 - May 15 If 1 < x < 2, is x a terminating decimal? (1) 22x is an integer. (2) 56x is an integer. Source: Expert’s Global | Difficulty : Hard
c

gmatophobia
PS Question 1 - May 15 When the digits of two-digit positive integer M are reversed, the result is two-digit positive integer N. Which of the following cannot be a factor of M^2+N^2? A. 17 B. 29 C. 40 D. 73 E. 101 Source: Veritas Prep | Difficulty: Hard
C, kinda guessing on this one

Originally posted by crucifier on 15 May 2023, 10:35.
Last edited by crucifier on 15 May 2023, 10:40, edited 1 time in total.
GMAT Club Bot
gmatclubot
Re: Quant Question of the Day Chat [#permalink]
15 May 2023, 10:35
   1  ...  57   58   59   60   61  ...  326   
Moderator:
Bunuel
Math Expert
95451 posts