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For which of the following expressions would the value be greater if 1

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For which of the following expressions would the value be greater if 1  [#permalink]

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New post 15 Jan 2019, 01:21
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (01:40) correct 38% (01:42) wrong based on 56 sessions

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Re: For which of the following expressions would the value be greater if 1  [#permalink]

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New post 15 Jan 2019, 01:50
The ans to this will have to E,
Best way to check is by using small numbers, i took 2& 3,
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Re: For which of the following expressions would the value be greater if 1  [#permalink]

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New post 15 Jan 2019, 06:41

Solution


Given:
    • Three expressions

To find:
    • Which among them is greater when 160 is replaced by 120 in all of them

Approach and Working:
I. 1000 – 160 = 840, and 1000 – 120 = 880.
    • Thus, 880 > 840

II. 160/1+160 = 160/161, and 120/1+120 = 120/121
    • Thus, 120/121 < 160/161

III. 1/1-1/160 = 160/159, and 1/1-1/120 = 120/119
    • Thus, 120/119 > 160/159

Hence, the correct answer is Option E

Answer: E

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Re: For which of the following expressions would the value be greater if 1  [#permalink]

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New post 21 Jan 2019, 18:51
Bunuel wrote:
For which of the following expressions would the value be greater if 160 were replaced by 120 ?

I. \(1000 - 160\)

II. \(\frac{160}{1+160}\)

III. \(\frac{1}{1-\frac{1}{160}}\)

A. None
B. I only
C. III only
D. I and II
E. I and III


Let’s examine each Roman numeral.

I. We see that 1000 - 120 is greater than 1000 - 160.

II. Originally we had 160/161, and after replacement we have 120/121, so we see the expression is smaller after the replacement.

III. When we replace 160 with 120, we see that the denominator 1 - 1/160 becomes 1 - 1/120 and thus it gets smaller. Since the numerator stays the same, the entire expression gets larger.

Answer: E
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Re: For which of the following expressions would the value be greater if 1   [#permalink] 21 Jan 2019, 18:51
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