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The sum of the whole numbers
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28 Jun 2021, 05:38
28 Jun 2021, 05:38
Expert Reply
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Question Stats:
85% (00:39) correct
14% (01:10) wrong based on 14 sessions
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Quantity A |
Quantity B |
The sum of the whole numbers from 1 through 50 |
1280 |
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.
Intern
Joined: 25 Oct 2020
Posts: 20
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Location: India
Concentration: Strategy, Finance
The sum of the whole numbers
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28 Jun 2021, 06:00
28 Jun 2021, 06:00
1
For finding the sum of first 50 numbers understand that the numbers are in an arithmetic progression,
Now,
Find the average of the first 50 whole numbers by (1+50)/2= 25.5
to find the sum 25.5 *50=1275 which is smaller than B
Answer is B
Now,
Find the average of the first 50 whole numbers by (1+50)/2= 25.5
to find the sum 25.5 *50=1275 which is smaller than B
Answer is B
The sum of the whole numbers
[#permalink]
28 Jun 2021, 07:43
28 Jun 2021, 07:43
1
Formula to remember :
Sum in arithmetic progression consisting of \(n\) nos when the first term is \(a\) & the last term is \(l\)
Sn = \(\frac{n(a+l)}{2}\)
Qt A
\(a = 1\) & \(l = 50\)
Sn = \(\frac{50(1+50)}{2}\) \(= 1275\)
Qt B > Qt A
Answer B
Sum in arithmetic progression consisting of \(n\) nos when the first term is \(a\) & the last term is \(l\)
Sn = \(\frac{n(a+l)}{2}\)
Qt A
\(a = 1\) & \(l = 50\)
Sn = \(\frac{50(1+50)}{2}\) \(= 1275\)
Qt B > Qt A
Answer B
