Quant Question of the Day Chat : Quantitative Questions

mysterymanrog

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Updated on: 09 Dec 2022, 13:00

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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Arya1556

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

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09 Dec 2022, 13:01

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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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09 Dec 2022, 13:01

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Because gmat wants us to waste 1-2 mins calculating root 5

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09 Dec 2022, 13:02

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Arya1556

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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09 Dec 2022, 13:03

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How did you get 2.2? Was it intution, or did you calculate

mysterymanrog

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Updated on: 09 Dec 2022, 15:13

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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Arya1556

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

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09 Dec 2022, 17:38

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bb

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!

-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

This is so helpful. thank you for taking such great initiative!!

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09 Dec 2022, 22:12

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Arya1556

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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09 Dec 2022, 22:56

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gmatophobia

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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Updated on: 10 Dec 2022, 00:23

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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gmatophobia

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

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

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

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

gmatophobia

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

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10 Dec 2022, 00:56

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sagar1810

Arya1556

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

gmatophobia

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Updated on: 10 Dec 2022, 01:13

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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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

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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 < 1

Source: Others | Difficulty : Hard

C?

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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

gmatophobia

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10 Dec 2022, 01:24

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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 < 1

Source: Others | Difficulty : Hard

A

Statement 1 gives us the positive difference i.e. | p - q | = 2

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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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10 Dec 2022, 01:29

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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

According you answer is c?

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