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If for any number N, f(N) is defined as the least integer

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derekgmat
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If for any number N, f(N) is defined as the least integer [#permalink] New post   08 Nov 2012, 06:32
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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
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E
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Bunuel
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Re: If for any number N, f(N) is defined as the least integer [#permalink] New post   08 Nov 2012, 07:15
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derekgmat 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


If N=-1.1, then N^2=1.21.

The least integer that is greater than or equal to 1.21 is 2, thus f(-1.1) = 2.

Answer: E.

Hope it's clear.
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Re: If for any number N, f(N) is defined as the least integer [#permalink] New post   08 Nov 2012, 07:17
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derekgmat 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


Similar questions to practice:
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if-denotes-the-greatest-integer-less-than-or-equal-to-x-94687.html
for-all-numbers-t-let-t-be-defined-as-the-greatest-105416.html
is-x-an-odd-integer-1-x-2-2x-99856.html
denotes-to-be-the-least-integer-no-less-than-x-is-130841.html
for-all-z-denotes-the-least-integer-greater-than-or-110561.html

Hope it helps.
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Re: If for any number N, f(N) is defined as the least integer [#permalink] New post   15 Oct 2019, 19:54
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derekgmat 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


Here are some examples for the values of the function f:

f(0) = 1 (since 0^2 = 0 and the least integer that is greater than or equal to 0 is 1)

f(2) = 5 (since 2^2 = 4 and the least integer that is greater than or equal to 4 is 5)

f(3/2) = 3 (since (3/2)^2 = 9/4 = 2.25 and the least integer that is greater than or equal to 2.25 is 3)

f(-7/3) = 6 (since (-7/3)^2 = 49/9 ≈ 5.44 and the least integer that is greater than or equal to 5.44 is 6)

Therefore, since (-1.1)^2 = 1.21. f(-1.1) = 2 since the least integer that is greater than or equal to 1.21 is 2.

Answer: E
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Re: If for any number N, f(N) is defined as the least integer [#permalink]
15 Oct 2019, 19:54
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