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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If for any number N, f(N) is defined as tagged by: Vincen ##### This topic has 2 expert replies and 0 member replies ### Top Member ## If for any number N, f(N) is defined as If for any number N, f(N) is defined as the least integer that is greater than or equal to N^2, then f(-1.1) = (A) -2 (B) -1 (C) 0 (D) 1 (E) 2 The OA is E. Experts, I don't understand how f works. Can you give me some examples and then explain to me how to solve this PS question? Please. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2666 messages Followed by: 125 members Upvotes: 1153 GMAT Score: 770 Vincen wrote: If for any number N, f(N) is defined as the least integer that is greater than or equal to N^2, then f(-1.1) = (A) -2 (B) -1 (C) 0 (D) 1 (E) 2 The OA is E. Experts, I don't understand how f works. Can you give me some examples and then explain to me how to solve this PS question? Please. Say we had f(1.3) If f(N) is defined as the least integer that is greater than or or equal to N^2, then f(1.3) would be the least integer greater than or equal to 1.3^2, or 1.69. The least integer greater than or equal to 1.69 is 2. Or say we had f(.5). The least integer greater than or equal to .5^2, or .25 is 1. Effectively, we're squaring the value in parentheses and then rounding up to the nearest integer. So if we have f(-1.1), then (-1.1)^2 will be 1.21. (It's enough to see that this value will be greater than 1 and less than 2.) The least integer greater than or equal to 1.21 is 2. The answer is E _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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### GMAT/MBA Expert

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Quote:
If for any number N, f(N) is defined as the least integer that is greater than or equal to N^2, then f(-1.1) =

(A) -2
(B) -1
(C) 0
(D) 1
(E) 2

The OA is E.

Experts, I don't understand how f works. Can you give me some examples and then explain to me how to solve this PS question? Please.
Hi Vincen,
Let's take a look at your question.

The question states:
f(N) is defined as the least integer that is greater than or equal to N^2.
Therefore,
$$f\left(-1.1\right)\ =\ \left(-1.1\right)^2$$
$$f\left(-1.1\right)\ =\ 1.21$$

The least integer that is greater than or equal to 1.21 is 2.
Therefore, Option E is correct.

Hope it helps.
I am available if you'd like any follow up.

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