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# If 10^2x/100^3y < 1, which of the following must be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 58415
If 10^2x/100^3y < 1, which of the following must be true?  [#permalink]

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22 Jan 2019, 01:17
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Difficulty:

25% (medium)

Question Stats:

76% (01:20) correct 24% (01:55) wrong based on 49 sessions

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If $$\frac{10^{2x}}{100^{3y}} < 1$$, which of the following must be true?

A x < 3y

B 2x < 3y

C 2x < y

D 2x + 3y < 1

E 2x + 3y < 0

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Joined: 31 Oct 2013
Posts: 1467
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If 10^2x/100^3y < 1, which of the following must be true?  [#permalink]

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22 Jan 2019, 01:22
1
Bunuel wrote:
If $$\frac{10^{2x}}{100^{3y}} < 1$$, which of the following must be true?

A x < 3y

B 2x < 3y

C 2x < y

D 2x + 3y < 1

E 2x + 3y < 0

Given,

$$\frac{10^{2x}}{100^{3y}} < 1$$

$$\frac{10^{2x}}{10^{2*3y}} < 1$$

$$\frac{10^{2x}}{10^{6y}} < 1$$

$$10^{2x - 6y} < 10^0$$

2x - 6y <0

2x<6y

x<3y

If 10^2x/100^3y < 1, which of the following must be true?   [#permalink] 22 Jan 2019, 01:22
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