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Quant Question of the Day Chat

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mysterymanrog
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Re: Quant Question of the Day Chat [#permalink] New post   09 Dec 2022, 12:58
Arya1556 wrote:
I went with (D), because I thought that closest to root 5 is a tad bit over 2 , so the ratio must be approx 3.something:4

I think you have to realize you round down twice - first by root 4 then subtracting 1
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Re: Quant Question of the Day Chat [#permalink] New post   09 Dec 2022, 12:58
But I wanna know how can I narrow it down b/w D and B without actually calculati g
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mysterymanrog
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 09 Dec 2022, 13:00
Arya1556 wrote:
But I wanna know how can I narrow it down b/w D and B without actually calculati g

I picked the bigger ratio because you subtract 1 from a smaller number

so the ratio is even smaller if that makes sense

you picked a lower aproximation, and then subtracted 1 - that makes the ratio 3/4, so it should be over that

33/40 is over, but not by that much - its very close to 3/4

Originally posted by mysterymanrog on 09 Dec 2022, 12:59.
Last edited by mysterymanrog on 09 Dec 2022, 13:00, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   09 Dec 2022, 13:01
But still without calculating actual value of root 5 how can I select the right answer because the choices are very narrow
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Arya1556
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Re: Quant Question of the Day Chat [#permalink] New post   09 Dec 2022, 13:01
Because gmat wants us to waste 1-2 mins calculating root 5
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mysterymanrog
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Re: Quant Question of the Day Chat [#permalink] New post   09 Dec 2022, 13:02
Arya1556 wrote:
Because gmat wants us to waste 1-2 mins calculating root 5

imo I dont think a real gmat would have such narrow choices without an obvious way to calculate

so if you can use number sense to get down to just B/D you did great
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Re: Quant Question of the Day Chat [#permalink] New post   09 Dec 2022, 13:03
How did you get 2.2? Was it intution, or did you calculate
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mysterymanrog
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 09 Dec 2022, 15:13
Arya1556 wrote:
How did you get 2.2? Was it intution, or did you calculate

memorized from gmat

handy aproximations to know are root 2, root 5, pi=22/7

root 2 is roughky 1,41 and root 5 2,2

Originally posted by mysterymanrog on 09 Dec 2022, 15:12.
Last edited by mysterymanrog on 09 Dec 2022, 15:13, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   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] New post   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] New post   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 ?
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 10 Dec 2022, 00:23
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

Show SpoilerOA
B


gmatophobia wrote:
DS Question 2 - Dec 09

What is the value of integer x?

(1) x + x^2 = 0
(2) |x| + x^2 = 2x

Source: Others | Difficulty: Medium

Show SpoilerOA
C


gmatophobia wrote:
PS Question 2 - Dec 09

Set J consists of 18 consecutive even numbers. If the smallest term in the set is -10, what is the range of the positive integers in set J?

A. 22
B. 24
C. 34
D. 36
E. 38

Source: Veritas Prep | Difficulty : Medium

Show SpoilerOA
A


gmatophobia wrote:
DS Question 1 - Dec 09

If at least one of p, q, r is an integer, is p+q+r even ?

(1) p−q−r is even.

(2) (p-r)/q is odd

Source: Others | Difficulty: Hard

Show SpoilerOA
E


mysterymanrog wrote:
gmatophobia wrote:
DS Question 2 - Dec 09

What is the value of integer x?

(1) x + x^2 = 0
(2) |x| + x^2 = 2x

Source: Others | Difficulty: Medium

Solving for 1 we get x=0 or -1
Solving 2:
x>0
x+x^2=2x
x^2-x=0
x=0 or 1
x<0
x^2-3x=0
x(x-3)=0
x=0 or 3
x=3 does not work if we substitute back into the original equation, so we can ignore that solution. Insuff
C) the only value is 0. Thereofre C

Your answer is correct, just a side thought -

We don’t have to check for x < 0, as the left hand side of the equation will always be non negative. For values of x < 0, the right hand side of the equation becomes negative :)

Kudos for participating actively in the group :thumbsup: :thumbsup:

Originally posted by gmatophobia on 10 Dec 2022, 00:17.
Last edited by gmatophobia on 10 Dec 2022, 00:23, edited 4 times in total.
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Re: Quant Question of the Day Chat [#permalink] New post   10 Dec 2022, 00:56
1
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sagar1810 wrote:
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


I think it can be solved as follows -

2√5-1/4
2*2.23-1/4
4.46-1/4
3.46/4 = 34.6/40
where 34.6 nearly equal to 35

Otherwise also 3.46/4 =0.86 and 35/40 = 0.87

Hence, 35/40 is the closest snd the correct answer.

Posted from my mobile device
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 10 Dec 2022, 01:13
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Happy B’Day GMATClub !

Note: GMATClub Tests are free today, Dec 10, for the next 24 hours (starting at midnight US Pacific Time).

bb - Where is the party tonight :P

DS Question 1 - Nov 10

If p and q are negative, is p/q > 1

(1) The positive difference between p and q is 2.
(2) q - p < 1

Source: Others | Difficulty : Hard

Originally posted by gmatophobia on 10 Dec 2022, 01:08.
Last edited by gmatophobia on 10 Dec 2022, 01:13, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   10 Dec 2022, 01:21
1
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gmatophobia wrote:
DS Question 1 - Nov 10

If p and q are negative, is p/q > 1

(1) The positive difference between p and q is 2.
(2) q - p < 1

Source: Others | Difficulty : Hard

C?
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Re: Quant Question of the Day Chat [#permalink] New post   10 Dec 2022, 01:22
1
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gmatophobia wrote:
DS Question 1 - Nov 10

If p and q are negative, is p/q > 1

(1) The positive difference between p and q is 2.
(2) q - p < 1

Source: Others | Difficulty : Hard

A
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gmatophobia
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Re: Quant Question of the Day Chat [#permalink] New post   10 Dec 2022, 01:24
Sarmadk5 wrote:
gmatophobia wrote:
DS Question 1 - Nov 10

If p and q are negative, is p/q > 1

(1) The positive difference between p and q is 2.
(2) q - p < 1

Source: Others | Difficulty : Hard

A

Statement 1 gives us the positive difference i.e. | p - q | = 2
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singhaz
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Re: Quant Question of the Day Chat [#permalink] New post   10 Dec 2022, 01:27
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[quote="gmatophobia"] DS Question 1 - Nov 10

If p and q are negative, is p/q > 1

(1) The positive difference between p and q is 2.
(2) q - p |q|
1) |p-q| = 2
p=-1 q=-3 or p = -3, p=-1
by solving mode
p=2+q or q=2+p
NS

2) q-p1-p
q
q can be equal to p hence NS

combining
q= p+2
sufficient
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Re: Quant Question of the Day Chat [#permalink] New post   10 Dec 2022, 01:29
singhaz wrote:
gmatophobia wrote:
DS Question 1 - Nov 10

If p and q are negative, is p/q > 1

(1) The positive difference between p and q is 2.
(2) q - p |q|
1) |p-q| = 2
p=-1 q=-3 or p = -3, p=-1
by solving mode
p=2+q or q=2+p
NS

2) q-p1-p
q
q can be equal to p hence NS

combining
q= p+2
sufficient

According you answer is c?
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Re: Quant Question of the Day Chat [#permalink] New post   10 Dec 2022, 01:33
PS Question 1 - Nov 10

Three fair six-sided dice, each numbered 1 to 6, are rolled once. What is the probability that resulting three numbers are in arithmetic progression (an arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant)?

A. 1/36
B. 1/18
C. 1/9
D. 1/6
E. 7/36

Source: GMAT Club Tests | Difficulty : Hard
GMAT Club Bot
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Re: Quant Question of the Day Chat [#permalink]
10 Dec 2022, 01:33
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