At a tech conference, each attendee donated as many rupees as the total number of attendees. One person contributed ₹4 extra. The total collection was ₹580.

Consider the following statements:
Statement I: There were 24 attendees at the conference.
Statement II: The person who contributed ₹4 extra donated ₹28.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

At a tech conference, each attendee donated as many rupees as the total number of attendees. One person contributed ₹4 extra. The total collection was ₹580.

Consider the following statements:
Statement I: There were 24 attendees at the conference.
Statement II: The person who contributed ₹4 extra donated ₹28.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Let the number of attendees be x.
Each donated ₹x &rarr; total from (x &ndash; 1) = (x &minus; 1) &times; x
One person donated ₹x + ₹4 &rarr; total = x2 &ndash; x + x + 4 = x2 + 4
So, x2 + 4 = 580
&rArr; x2 = 576
&rArr; x = 24
Statement I: Correct (as total attendees are 24).
One person donated ₹24 + ₹4 = ₹28
Statement II: Correct

Hence, option c is correct.

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M Question 1	⏱ 0
At a tech conference, each attendee donated as many rupees as the total number of attendees. One person contributed ₹4 extra. The total collection was ₹580. Consider the following statements: Statement I: There were 24 attendees at the conference. Statement II: The person who contributed ₹4 extra donated ₹28. Select the correct answer from the options below: (a) Only Statement I is correct. (b) Only Statement II is correct. (c) Both Statements I and II are correct. (d) None of the Statements is correct.