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The number of positive multiples of 49 less than 2000
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19 Oct 2017, 22:35
19 Oct 2017, 22:35
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Question Stats:
68% (01:02) correct
32% (01:04) wrong based on 100 sessions
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Quantity A |
Quantity B |
The number of positive multiples of 49 less than 2000 |
The number of positive multiples of 50 less than or equal to 2000 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for correct solution.
Re: The number of positive multiples of 49 less than 2000
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20 Oct 2017, 06:23
20 Oct 2017, 06:23
1
The number of positive multiples of 49 less than 2000 can be computed as 1960, the highest multiple, minus 49, the lowest, divided by 49, plus 1. In formulas \(\frac{(1960-49)}{49}+1 =
40\). The same rationale works for multiples of 50 less or equal than 2000, i.e. \(\frac{(2000-50)}{50}+1 = 40\).
Answer C
40\). The same rationale works for multiples of 50 less or equal than 2000, i.e. \(\frac{(2000-50)}{50}+1 = 40\).
Answer C
The number of positive multiples of 49 less than 2000
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27 Oct 2018, 08:53
27 Oct 2018, 08:53
1
Expert Reply
2
Bookmarks
Quantity A |
Quantity B |
The number of positive multiples of 49 less than 2000 |
The number of positive multiples of 50 less than or equal to 2000 |
The quantity in Column A is greater
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
_________________
Re: The number of positive multiples of 49 less than 2000
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01 Nov 2018, 11:10
01 Nov 2018, 11:10
4
Expert Reply
Hello!
first, I find out how many times 49 can go into 2000, So I just multiplied 49 by 10, and got 490.
I then multiplied it by 2, and got 980, I doubled it again, and got 1960, which is the highest the number can get.
Thus 49 can go into 2000 40 times.
For quantity B I just divided 2000 by 50, which is 40.
so the answer is c
first, I find out how many times 49 can go into 2000, So I just multiplied 49 by 10, and got 490.
I then multiplied it by 2, and got 980, I doubled it again, and got 1960, which is the highest the number can get.
Thus 49 can go into 2000 40 times.
For quantity B I just divided 2000 by 50, which is 40.
so the answer is c
Re: The number of positive multiples of 49 less than 2000
[#permalink]
01 Nov 2018, 19:19
01 Nov 2018, 19:19
Expert Reply
Carcass wrote:
Quantity A |
Quantity B |
The number of positive multiples of 49 less than 2000 |
The number of positive multiples of 50 less than or equal to 2000 |
The quantity in Column A is greater
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
We are looking at the multiples of 49 and 50. every multiple makes a difference of 50-49=1 between the multiples.
2000 = 50 * 40 so 40 multiples of 50...
since 49 > 40, 49 will also have 40 multiples till 2000 and the last multiple will be 2000-40=1,960 = 49*40
thus C
_________________
Some useful Theory.
1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html
1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html
Re: The number of positive multiples of 49 less than 2000
[#permalink]
23 Mar 2019, 16:57
23 Mar 2019, 16:57
1
Bunuel wrote:
Quantity A |
Quantity B |
The number of positive multiples of 49 less than 2000 |
The number of positive multiples of 50 less than or equal to 2000 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for correct solution.
Keep things simple when working with multiples -
if you divide 2000 by 49 the result is 40.xxx. Because the last multiple of 49 is to be less than 2000 the result is 40 for A
for B, follow the same 2000/50 = 40 exact. The question says less than equal to for B. Hence the value for B is also 40.
So, A = 40, B = 40.......ans- C
Re: The number of positive multiples of 49 less than 2000
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12 Oct 2022, 00:21
12 Oct 2022, 00:21
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Re: The number of positive multiples of 49 less than 2000
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23 Oct 2022, 21:28
23 Oct 2022, 21:28
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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