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# If when k is rounded to the nearest unit, the result is equal to the

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Math Expert
Joined: 02 Sep 2009
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If when k is rounded to the nearest unit, the result is equal to the  [#permalink]

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03 Jul 2018, 11:02
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65% (hard)

Question Stats:

39% (01:11) correct 61% (01:09) wrong based on 36 sessions

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If when k is rounded to the nearest unit, the result is equal to the exact value of n, is it true that n = m?

(1) When n is rounded to the nearest unit, the result is equal to the exact value of m.
(2) When m is rounded to the nearest unit, the result is equal to the exact value of n.

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Re: If when k is rounded to the nearest unit, the result is equal to the  [#permalink]

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03 Jul 2018, 11:25
Bunuel wrote:
If when k is rounded to the nearest unit, the result is equal to the exact value of n, is it true that n = m?
Imp inference :- n itself is in unit value

(1) When n is rounded to the nearest unit, the result is equal to the exact value of m.
We know n is itself exact unit value and if rounded to nearest unit it will remain itself
But it is given to be equal to m, so n=m
suff

(2) When m is rounded to the nearest unit, the result is equal to the exact value of n.

n is exact unit value, but we cannot say the same for m
say m = 3.7... nearest unit = 4, so n =4
but both can be 4 also
insuff

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If when k is rounded to the nearest unit, the result is equal to the  [#permalink]

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05 Jul 2018, 13:13
Bunuel wrote:
If when k is rounded to the nearest unit, the result is equal to the exact value of n, is it true that n = m?

(1) When n is rounded to the nearest unit, the result is equal to the exact value of m.
(2) When m is rounded to the nearest unit, the result is equal to the exact value of n.

Question stem:- n=m? (Y/N)

st1:-
Given,when k is rounded to the nearest unit, the result is equal to the exact value of n.
Suppose k=1.7, then n should be 2.
When n is rounded to the nearest unit, the result is equal to the exact value of m.
n=m=2
Hence sufficient.
st2:-
Given, when k is rounded to the nearest unit, the result is equal to the exact value of n.
Suppose k=1.6, then n=2,
When m is rounded to the nearest unit, the result is equal to the exact value of n.
Suppose m=1.6, then n=2, so $$m\neq{n}$$ ,Not sufficient.

But when k=1.6, then n=2 & when m=2 then n=2, so m=n; sufficient.

Ans. (A)
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Re: If when k is rounded to the nearest unit, the result is equal to the &nbs [#permalink] 05 Jul 2018, 13:13
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