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

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

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New post 03 Jul 2018, 10:02
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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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New post 03 Jul 2018, 10:25
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

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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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New post 05 Jul 2018, 12:13
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, 12:13
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