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04 Nov 2021, 05:15
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (01:01) correct
13%
(01:16)
wrong
based on 249
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Given \(S = \frac{1}{96} + \frac{1}{97} + \frac{1}{98} + \frac{1}{99} + \frac{1}{100} + \frac{1}{101} + \frac{1}{102} + \frac{1}{103} + \frac{1}{104} + \frac{1}{105}\). Which of the following is the approximate value of S?
(A) 0.1
(B) 0.2
(C) 0.3
(D) 0.4
(E) 0.5
(A) 0.1
(B) 0.2
(C) 0.3
(D) 0.4
(E) 0.5
04 Nov 2021, 05:29
Kudos
Bookmarks
We're adding 10 numbers each roughly equal to 1/100, so the sum will be roughly 10/100 = 0.1
19 Nov 2021, 22:24
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Bunuel
Given \(S = \frac{1}{96} + \frac{1}{97} + \frac{1}{98} + \frac{1}{99} + \frac{1}{100} + \frac{1}{101} + \frac{1}{102} + \frac{1}{103} + \frac{1}{104} + \frac{1}{105}\). Which of the following is the approximate value of S?
(A) 0.1
(B) 0.2
(C) 0.3
(D) 0.4
(E) 0.5
(A) 0.1
(B) 0.2
(C) 0.3
(D) 0.4
(E) 0.5
Just adding my two cents to Ian sir,
Find the approx. largest value , for this consider all the denominators to be \(96 \) hence largest value (approx) = \(\frac{10}{96} = .104\)
Find the smallest value possible ( approx) for this consider all the denominators to be \(105\) hence smallest value \(\frac{10}{105} = .09\)
Hence the value of this series must be between \(.09\) and \(.104\)
We can see that all answer choices are more than the range except A
Hence Ans A
Hope it's clear.
