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# Quant Question of the Day Chat

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Re: Quant Question of the Day Chat [#permalink]
singhaz wrote:
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

D

IMO you’re considering all the numbers as integers (if so, that’s not correct)

Ex.

p = 9/4, q = 5/4 and r = 1

Both statements satisfy, however p + q + r is not even

p = 8, r = 2 , q = 2

p + q + r is even
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
singhaz wrote:
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

D

IMO you’re considering all the numbers as integers (if so, that’s not correct)

Ex.

p = 9/4, q = 5/4 and r = 1

Both statements satisfy, however p + q + r is not even

p = 8, r = 2 , q = 2

p + q + r is even

yes, just realized all are not integers, it must be E
Quant Chat Moderator
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Re: Quant Question of the Day Chat [#permalink]

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

Originally posted by gmatophobia on 08 Dec 2022, 23:59.
Last edited by gmatophobia on 09 Dec 2022, 00:01, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
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

all 3 cars of model A or Model B with different colours
total combination will be
(4 * 3 * 2 ) * 2 =24

and

Two of model A & 1 or model B or opposite which will have total 6 combinations

(4*3*2) * 6=144

Total =192
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Re: Quant Question of the Day Chat [#permalink]
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
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Re: Quant Question of the Day Chat [#permalink]
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

by 1
x can be 0 or -1
by 2
x can be 0 or +1

by both x is 0
Ans: C
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Re: Quant Question of the Day Chat [#permalink]
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
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Re: Quant Question of the Day Chat [#permalink]
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

b - 32

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

aaa OR bbb OR aab OR abb

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

c

Originally posted by sagar1810 on 09 Dec 2022, 04:09.
Last edited by sagar1810 on 09 Dec 2022, 04:12, edited 2 times in total.
Quant Chat Moderator
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Re: Quant Question of the Day Chat [#permalink]
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
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Re: Quant Question of the Day Chat [#permalink]
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

Sneaky question if you don’t read carefully

A.

Originally posted by mysterymanrog on 09 Dec 2022, 06:45.
Last edited by mysterymanrog on 09 Dec 2022, 06:46, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
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

A
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Re: Quant Question of the Day Chat [#permalink]
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

I would request everyone to not do the actual calculations, just try doing it in your head with estimation

Originally posted by Arya1556 on 09 Dec 2022, 11:23.
Last edited by Arya1556 on 09 Dec 2022, 11:24, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
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

D?
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Re: Quant Question of the Day Chat [#permalink]
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

Most likely wrong but:
Root 5 is just a little over root 4, which is 2. 2 times 2 is 4, less. 1 3. so aprox ratio is slightly more than 3/4.
E is 4/5. too bif
D is close
C is more than E, out
A is far too big
D vs B
B seems closer - D is really close to just 3:4, and we aproximated down (root 5 bigger than 2) and then subtracted 1.
I would go with B

Originally posted by mysterymanrog on 09 Dec 2022, 12:54.
Last edited by mysterymanrog on 09 Dec 2022, 12:55, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
mysterymanrog 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

Most likely wrong but:
Root 5 is just a little over root 4, which is 2. 2 times 2 is 4, less. 1 3. so aprox ratio is slightly more than 3/4.
E is 4/5. too bif
D is close
C is more than E, out
A is far too big
D vs B
B seems closer - D is really close to just 3:4, and we aproximated down (root 5 bigger than 2) and then subtracted 1.
I would go with B

mysterymanrog wrote:

They are from my coaching centre

Originally posted by Arya1556 on 09 Dec 2022, 12:55.
Last edited by Arya1556 on 09 Dec 2022, 12:56, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
Cool. Is it GMAT coaching center
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Re: Quant Question of the Day Chat [#permalink]
Time

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

Originally posted by Arya1556 on 09 Dec 2022, 12:56.
Last edited by Arya1556 on 09 Dec 2022, 12:58, edited 1 time in total.
Re: Quant Question of the Day Chat [#permalink]
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