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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   07 Nov 2022, 02:28
Bhartesh0803 wrote:
Is this correct logic?

I think you got it.

Statement 1

9x = 2xy + 5
x(9 - 2y) = 5
5 is prime and we can express as 1 * 5 or 5 * 1
x = 1 and 9 - 2y = 5; i.e. y = 2
Now if y = 2, 2y is 4 and we cannot have remainder as 5.

Thus we can eliminate that case and x = 5

Statement 2

5y - xy = 0
y(5-x) = 0

y cannot be zero as the constraint say that it is +ve.

So, x = 5
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Re: Quant Question of the Day Chat [#permalink] New post   07 Nov 2022, 03:12
PS Butler Question - 1

If −1 < n < 0, which of the following has the greatest absolute value?

A. n + 1

B. n/2

C. n^2

D. 1/n^2

E. 1/n

Source: Other | Difficulty : Medium
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 07 Nov 2022, 06:15
gmatophobia wrote:
Nov 07 - Question of the day

The median of n consecutive odd integers is 30. If the fifth term is 33, then which of the following can be the last term of the sequence?

A.19
B.21
C.25
D.33
E.41

Source: eGMAT | Difficulty : Hard

19

gmatophobia wrote:
Nov 07 - DS Question of the day

If x and y are positive integers, what is the value of x?

1) When 9x is divided by 2y, the quotient is x, and the remainder is 5
2) When 5y is divided by x, the quotient is y, and the remainder is 0

Source: GMATPrepNow | Difficulty : Hard

D

gmatophobia wrote:
I think you got it.

Statement 1

9x = 2xy + 5
x(9 - 2y) = 5
5 is prime and we can express as 1 * 5 or 5 * 1
x = 1 and 9 - 2y = 5; i.e. y = 2
Now if y = 2, 2y is 4 and we cannot have remainder as 5.

Thus we can eliminate that case and x = 5

Statement 2

5y - xy = 0
y(5-x) = 0

y cannot be zero as the constraint say that it is +ve.

So, x = 5

In the second statement, can’t we just cancel y on both sides since its the same value?

Originally posted by av1901 on 07 Nov 2022, 06:08.
Last edited by av1901 on 07 Nov 2022, 06:15, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink] New post   07 Nov 2022, 06:17
av1901 wrote:
gmatophobia wrote:
I think you got it.

Statement 1

9x = 2xy + 5
x(9 - 2y) = 5
5 is prime and we can express as 1 * 5 or 5 * 1
x = 1 and 9 - 2y = 5; i.e. y = 2
Now if y = 2, 2y is 4 and we cannot have remainder as 5.

Thus we can eliminate that case and x = 5

Statement 2

5y - xy = 0
y(5-x) = 0

y cannot be zero as the constraint say that it is +ve.

So, x = 5

In the second statement, can’t we just cancel y on both sides since its the same value?

In this case you can :)
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Re: Quant Question of the Day Chat [#permalink] New post   07 Nov 2022, 06:25
gmatophobia wrote:
Nov 07 - Question of the day

The median of n consecutive odd integers is 30. If the fifth term is 33, then which of the following can be the last term of the sequence?

A.19
B.21
C.25
D.33
E.41

Source: eGMAT | Difficulty : Hard

Well, the trick here is realizing that it is a descending order AP with consecutive odd integers

Median of 2 odd integers = 30 => That number of terms is EVEN (because if it were odd, then median would have been the middle term and thus odd as well) = (29+31)/2

And initially you think that Since a5 = 33, so 31 = a4 and 29 = a3

Since median of even set of numbers = Average of (n/2) and (n/2 + 1)th terms, WHICH WOULD GIVE US n = 6, and a6 would be 35 BUT THERE IS NO OPTION LIKE THAT and most options are below 33

So that means that a5 = 33, and 31 = a6 and 29 = a7, So n = 12

Calculate a12 would give us 19

Answer: A
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Re: Quant Question of the Day Chat [#permalink] New post   07 Nov 2022, 06:33
DS Butler Question - 1

If x and y are positive integers, are they consecutive?

(1) x + y = 3
(2) x - y = 1

Source: Math Revolution | Difficulty : Medium
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Re: Quant Question of the Day Chat [#permalink] New post   07 Nov 2022, 06:49
gmatophobia wrote:
DS Butler Question - 1

If x and y are positive integers, are they consecutive?

(1) x + y = 3
(2) x - y = 1

Source: Math Revolution | Difficulty : Medium

1) if x and y are positive integers, only 1 and 2 satisfy this condition . SUFFICIENT
2) Any 2 consecutive integers when subtracted will give answer as 1. SUFFICIENT

Answer: D
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Re: Quant Question of the Day Chat [#permalink] New post   08 Nov 2022, 01:17
Concept of the day - Statistics

Let’s focus on Statistics in this week. This is the first of a two part article written by eGMAT. Will post the second part on Thursday :D

Link: Solve any Mean and Standard deviation question under a minute
Written by - eGMAT

Need more ? Below is the link to ALL IN ONE TOPIC on Statistics - Compiled by quant master Bunuel

Link: Statistics Made Easy - All in One Topic

Will share questions on this topic later during the day. Happy reading everyone !
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Re: Quant Question of the Day Chat [#permalink] New post   08 Nov 2022, 03:09
Problem Solving : Question 1

A set of 31 integers has a median of 31 and a range of 31. What is the greatest possible value of the highest integer in the set?

(A) 46
(B) 47
(C) 60
(D) 61
(E) 62

Source: Expert’s Global | Difficulty: Medium
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Re: Quant Question of the Day Chat [#permalink] New post   08 Nov 2022, 04:02
Data Sufficiency : Question 1

The median age of seven children in group A was 13. The median age of nine children in group B was 9. Four children — the youngest and the oldest in each group — were exchanged between the groups. What was the new median age of the children in group B?

(1) Before the exchange, the oldest child in group B was 12 years old.

(2) Before the exchange, the youngest child in group A was 8 years old.

Source: Expert’s Global | Difficulty: Medium
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 08 Nov 2022, 07:05
gmatophobia wrote:
Problem Solving : Question 1

A set of 31 integers has a median of 31 and a range of 31. What is the greatest possible value of the highest integer in the set?

(A) 46
(B) 47
(C) 60
(D) 61
(E) 62

Source: Expert’s Global | Difficulty: Medium

Show SpoilerOA
E


Problem Solving : Question 2

A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy?

A) $94.03
B) $96.75
C) $98.78
D) $102.07
E) $105.3

Source: Official Guide | Difficulty : Medium

Originally posted by gmatophobia on 08 Nov 2022, 07:02.
Last edited by gmatophobia on 08 Nov 2022, 07:05, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 08 Nov 2022, 07:34
C

gmatophobia wrote:
Data Sufficiency : Question 1

The median age of seven children in group A was 13. The median age of nine children in group B was 9. Four children — the youngest and the oldest in each group — were exchanged between the groups. What was the new median age of the children in group B?

(1) Before the exchange, the oldest child in group B was 12 years old.

(2) Before the exchange, the youngest child in group A was 8 years old.

Source: Expert’s Global | Difficulty: Medium

B

Originally posted by Bhartesh0803 on 08 Nov 2022, 07:25.
Last edited by Bhartesh0803 on 08 Nov 2022, 07:34, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 08 Nov 2022, 08:28
gmatophobia wrote:
Problem Solving : Question 2

A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy?

A) $94.03
B) $96.75
C) $98.78
D) $102.07
E) $105.3

Source: Official Guide | Difficulty : Medium

32.25 x 3 = 96.75 B it is?

gmatophobia wrote:
Data Sufficiency : Question 1

The median age of seven children in group A was 13. The median age of nine children in group B was 9. Four children — the youngest and the oldest in each group — were exchanged between the groups. What was the new median age of the children in group B?

(1) Before the exchange, the oldest child in group B was 12 years old.

(2) Before the exchange, the youngest child in group A was 8 years old.

Source: Expert’s Global | Difficulty: Medium

B?

Originally posted by DHRJ0032 on 08 Nov 2022, 08:27.
Last edited by DHRJ0032 on 08 Nov 2022, 08:28, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 08 Nov 2022, 09:24
gmatophobia wrote:
Problem Solving : Question 2

A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy?

A) $94.03
B) $96.75
C) $98.78
D) $102.07
E) $105.3

Source: Official Guide | Difficulty : Medium

Show SpoilerOA
B


Data Sufficiency : Question 2

Is the range of a combined set (S,T) is bigger than the sum of ranges of sets S and T ?

(1) The largest element of T is bigger than the largest element of S.

(2) The smallest element of T is bigger than the largest element of S.

Source: GMAT Club Tests | Difficulty: Hard

Originally posted by gmatophobia on 08 Nov 2022, 09:23.
Last edited by gmatophobia on 08 Nov 2022, 09:24, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   08 Nov 2022, 10:27
gmatophobia wrote:
Problem Solving : Question 1

A set of 31 integers has a median of 31 and a range of 31. What is the greatest possible value of the highest integer in the set?

(A) 46
(B) 47
(C) 60
(D) 61
(E) 62

Source: Expert’s Global | Difficulty: Medium

Since there is no constraint over the integers being distinct, we can safely assume that every integer up-to the median (16th term) = 31
So if range = 31 then highest number of set = 31+31 = 62
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Re: Quant Question of the Day Chat [#permalink] New post   08 Nov 2022, 10:31
gmatophobia wrote:
Data Sufficiency : Question 2

Is the range of a combined set (S,T) is bigger than the sum of ranges of sets S and T ?

(1) The largest element of T is bigger than the largest element of S.

(2) The smallest element of T is bigger than the largest element of S.

Source: GMAT Club Tests | Difficulty: Hard

B?
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Re: Quant Question of the Day Chat [#permalink] New post   08 Nov 2022, 10:36
gmatophobia wrote:
Data Sufficiency : Question 2

Is the range of a combined set (S,T) is bigger than the sum of ranges of sets S and T ?

(1) The largest element of T is bigger than the largest element of S.

(2) The smallest element of T is bigger than the largest element of S.

Source: GMAT Club Tests | Difficulty: Hard

B?
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 08 Nov 2022, 11:44
gmatophobia wrote:
Data Sufficiency : Question 2

Is the range of a combined set (S,T) is bigger than the sum of ranges of sets S and T ?

(1) The largest element of T is bigger than the largest element of S.

(2) The smallest element of T is bigger than the largest element of S.

Source: GMAT Club Tests | Difficulty: Hard

Show SpoilerOA
B


gmatophobia wrote:
Data Sufficiency : Question 1

The median age of seven children in group A was 13. The median age of nine children in group B was 9. Four children — the youngest and the oldest in each group — were exchanged between the groups. What was the new median age of the children in group B?

(1) Before the exchange, the oldest child in group B was 12 years old.

(2) Before the exchange, the youngest child in group A was 8 years old.

Source: Expert’s Global | Difficulty: Medium

Show SpoilerOA
B


Problem Solving : Question 3

Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?

I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75}

(A) I only
(B) I & II
(C) I & III
(D) II & III
(E) I, II, & III

Source: Magoosh | Difficulty : Hard

Originally posted by gmatophobia on 08 Nov 2022, 11:41.
Last edited by gmatophobia on 08 Nov 2022, 11:44, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 08 Nov 2022, 23:35
gmatophobia wrote:
Problem Solving : Question 3

Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?

I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75}

(A) I only
(B) I & II
(C) I & III
(D) II & III
(E) I, II, & III

Source: Magoosh | Difficulty : Hard

Show SpoilerOA
C


Nov 09 - Data Sufficiency Question of the Day

The function f is defined for all positive integers n > 4 as f(n) = 3n – 9 if n is odd and f(n) = 2n – 7 if n is even. What is the value of the positive integer a?

(1) f(f(a)) = a

(2) f(f(f(a))) is odd.

Source: Manhattan | Difficulty : Hard

Originally posted by gmatophobia on 08 Nov 2022, 23:29.
Last edited by gmatophobia on 08 Nov 2022, 23:35, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   09 Nov 2022, 01:52
Nov 09 - Problem Solving Question of the Day

If the sum of all positive factors of an integer n is 2n, n is a perfect number. For example, the factors of 6 are 1, 2, 3, and 6, and from the sum 1+2+3+6=12=2*6, the sum of the factors of 6 becomes 12=2*6, thus 6 is the first perfect number. Then, what is the number of factors of the second perfect number?

A. 4
B. 5
C. 6
D. 8
E. 12

Source: Math Revolution | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink]
09 Nov 2022, 01:52
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