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Quant Question of the Day Chat

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gmatophobia
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 08 Dec 2022, 23:19
gmatophobia wrote:
DS Question 1 - Dec 8

Set S consists of all prime integers less than 10. If two numbers are chosen form set S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?

(A) 1/3

(B) 2/3

(C) 1/2

(D) 7/10

(E) 4/5

Source: GMAT Club Tests | Difficulty Level: Medium

Show SpoilerOA
C


gmatophobia wrote:
PS Question 1 - Nov 18

Let P = 36000. Let Q equal the sum of all the factors of 36000, not including 36000 itself. Let R be the sum of all the prime numbers less than 36000. Rank the numbers P, Q, and R in numerical order from smallest to biggest.

(A) P, Q, R
(B) P, R, Q
(C) Q, P, R
(D) R, P, Q
(E) R, Q, P

Source: Magoosh | Difficulty: Hard

Show SpoilerOA
A


gmatophobia wrote:
PS Question 2 - Dec 08

Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?

A. 20
B. 21
C. 22
D. 23
E. 24

Source: Manhattan GMAT | Difficulty: Hard

Show SpoilerOA
D


gmatophobia wrote:
DS Question 2 - Dec 08

Triangles ABC and DEF are similar right triangles. If the hypotenuse of triangle DEF has a length of 20, what is the length of the hypotenuse of triangle ABC?

(1) The ratio of the perimeter of ABC to the area of ABC is the reciprocal of the ratio of the perimeter of DEF to the area of DEF.
(2) One of the legs in triangle DEF has a length of 12.

Source: Manhattan GMAT | Difficulty: Hard

Show SpoilerOA
C


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

Originally posted by gmatophobia on 08 Dec 2022, 23:16.
Last edited by gmatophobia on 08 Dec 2022, 23:19, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 08 Dec 2022, 23:26
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

b?

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

Originally posted by singhaz on 08 Dec 2022, 23:24.
Last edited by singhaz on 08 Dec 2022, 23:26, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   08 Dec 2022, 23:47
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

taking eq 2
2/2=1, both are EVEN
3/3=1, both are ODD
so either both are ODD or EVEN

When Both are EVEN
p-r = EVEN
it means p & r are either both EVEN or ODD
q = EVEN
p + q + r = EVEN + EVEN + EVEN = EVEN
p + q + r = ODD + ODD + ODD = ODD

When both are ODD
p-r = ODD, q = ODD
it means either p is EVEN & r is ODD or opposite

p+ q + r = EVEN + ODD + ODD = EVEN or ODD + EVEN + ODD = EVEN

taking 1st equation
p-q-r = even
it mean one of them is even and two of them is odd

taking 1 & 2 both
p + q + r is EVEN
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Re: Quant Question of the Day Chat [#permalink] New post   08 Dec 2022, 23:57
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] New post   08 Dec 2022, 23:58
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
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 09 Dec 2022, 00:01
:thumbsup:

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] New post   09 Dec 2022, 00:19
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

they can buy
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] New post   09 Dec 2022, 01:09
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] New post   09 Dec 2022, 01:20
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] New post   09 Dec 2022, 02:29
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] New post   Updated on: 09 Dec 2022, 04:12
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.
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Re: Quant Question of the Day Chat [#permalink] New post   09 Dec 2022, 05:54
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] New post   Updated on: 09 Dec 2022, 06:46
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] New post   09 Dec 2022, 08:01
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] New post   Updated on: 09 Dec 2022, 11:24
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

And if you get an answer, Please explain your thought process

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] New post   09 Dec 2022, 12:49
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] New post   Updated on: 09 Dec 2022, 12:55
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

Are these your own questions?

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] New post   Updated on: 09 Dec 2022, 12:56
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

Yes answer is (B)

mysterymanrog wrote:
Are these your own questions?

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] New post   09 Dec 2022, 12:56
Cool. Is it GMAT coaching center
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 09 Dec 2022, 12:58
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.
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