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# If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +

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VP
Joined: 20 Jul 2017
Posts: 1337
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

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05 Jan 2020, 06:58
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Difficulty:

75% (hard)

Question Stats:

41% (02:23) correct 59% (02:19) wrong based on 32 sessions

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If N = $$\frac{10}{{10^2 + 0}}$$ + $$\frac{11}{{10^2 + 1}}$$ + $$\frac{12}{{10^2 + 2}}$$ + . . . . . . . . . . + $$\frac{19}{{10^2 + 9}}$$ + $$\frac{20}{{10^2 + 10}}$$. Find the approximate value of N

A. 0.52
B. 0.83
C. 1.49
D. 1.57
E. 1.66
Director
Joined: 30 Sep 2017
Posts: 696
GMAT 1: 720 Q49 V40
GPA: 3.8
If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

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Updated on: 05 Jan 2020, 17:50
1
Approximating the denominator of each fraction, one gets N as follows:
= (10+11+12+13+14+15)/100 + (16+17+18+19+20)/110
= 75/100 + 90/110
= 0.75 + 0.82
= 1.57

Originally posted by chondro48 on 05 Jan 2020, 07:22.
Last edited by chondro48 on 05 Jan 2020, 17:50, edited 2 times in total.
Director
Joined: 25 Jul 2018
Posts: 578
Re: If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

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05 Jan 2020, 07:44
1
A and B cannot be the answer.
—> there are 11 terms and each term greater than 0.1 (> 11*0.1= 1.1)

Let’s say that the denominator of each term is 10 —> 10+11+...19+20 =( 10+20)*11/2= 165 —> 165/10= 1.65 —> E cannot be the answer
Because N is less than 1.66

Let’s say that the denominator of each term is 110 —> 165/110 = 1.5
N is greater than 1.5

We have Only D left.

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Intern
Joined: 13 Jan 2020
Posts: 18
Re: If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

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28 Jan 2020, 21:40
1
After approximation, one gets N as follows:

$$= \frac{(10+11+12+13+14+15)}{100} + \frac{(16+17+18+19+20)}{110}$$
$$= \frac{ 75}{100} + \frac{90}{110}$$
$$= 0.75 + 0.82$$
$$= 1.57$$

Intern
Joined: 16 Oct 2018
Posts: 9
Re: If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

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04 Feb 2020, 03:17
(10+11+12...+20)/(10^2+10)< N <(10+11+12...+20)/(10^2)

This implies 1.5 < N < 1.65

Clearly option D is the answer

Posted from my mobile device
Re: If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +   [#permalink] 04 Feb 2020, 03:17
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