Last visit was: 20 Jun 2024, 23:57 It is currently 20 Jun 2024, 23:57
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# If 1/Q > 1, which of the following must be true?

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93896
Own Kudos [?]: 633509 [3]
Given Kudos: 82404
Director
Joined: 26 Nov 2019
Posts: 880
Own Kudos [?]: 922 [1]
Given Kudos: 59
Location: South Africa
Manager
Joined: 13 May 2022
Posts: 154
Own Kudos [?]: 162 [1]
Given Kudos: 209
Location: India
Concentration: Finance, General Management
CEO
Joined: 07 Mar 2019
Posts: 2598
Own Kudos [?]: 1854 [1]
Given Kudos: 763
Location: India
WE:Sales (Energy and Utilities)
Re: If 1/Q > 1, which of the following must be true? [#permalink]
1
Kudos
If $$\frac{1}{Q} > 1$$, which of the following must be true?

(A) $$1 < Q^2$$

(B) $$\frac{1}{Q^2} > 2$$

(C) $$1 > Q^2$$

(D) $$\frac{1}{Q^2} < 1$$

(E) $$Q < Q^2$$

$$\frac{1}{Q} > 1$$ is only possible when 0 < Q < 1
This implies that Q^2 < Q < 1(Here we can go with C straight but let's check other choices).

Thus, A, D(same as A) and E are out straight.
B is wrong since
$$1 < \frac{1}{Q^2} < infinity$$
Hence either possibility exists.

Director
Joined: 29 Oct 2015
Posts: 889
Own Kudos [?]: 356 [0]
Given Kudos: 574
If 1/Q > 1, which of the following must be true? [#permalink]
1/q - 1 >0
hence , (1-q)/ q > 0
either (1-q ) > 0 and q > 0 ; Hence , 0<q<1

or (1-q) < 0 and q < 0 ..this scenario is impossible.

Hence , q is between 0 and 1 . Say q = 1/2 , then q^2 = 1/4
Hence we can say that q^2 < 1 ..C is the answer.­ gmatophobia
Intern
Joined: 05 Jan 2024
Posts: 12
Own Kudos [?]: 2 [0]
Given Kudos: 71
Location: United States
Re: If 1/Q > 1, which of the following must be true? [#permalink]
mayankdgmat wrote:
Bunuel I am getting Q>Q2. is there a typo in (E)?­

­I think if Q is negative then this still holds true which cannot be the case!
Math Expert
Joined: 02 Sep 2009
Posts: 93896
Own Kudos [?]: 633509 [0]
Given Kudos: 82404
Re: If 1/Q > 1, which of the following must be true? [#permalink]
K-ja wrote:
mayankdgmat wrote:
­If $$\frac{1}{Q} > 1$$, which of the following must be true?

(A) $$1 < Q^2$$

(B) $$\frac{1}{Q^2} > 2$$

(C) $$1 > Q^2$$

(D) $$\frac{1}{Q^2} < 1$$

(E) $$Q < Q^2$$

Bunuel I am getting Q>Q2. is there a typo in (E)?­

­I think if Q is negative then this still holds true which cannot be the case!

Q cannot be negative because $$\frac{1}{Q} > 1$$ implies $$0 < Q < 1$$. Next, E is not correct because $$Q < Q^2$$ is not true for any of the values from $$0 < Q < 1$$. Or to put it in another way, since $$0 < Q < 1$$, then 0 < Q^2 < Q, so Q < Q^2 is not true.­
Re: If 1/Q > 1, which of the following must be true? [#permalink]
Moderator:
Math Expert
93896 posts