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Y and Z are both positive numbers less than 1 . Is Y > Z

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Y and Z are both positive numbers less than 1 . Is Y > Z [#permalink]

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New post 15 May 2011, 14:57
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Y and Z are both positive numbers less than 1. Is Y > Z ?

(1) The hundredths digit of Y is greater than the tenths digit of Z and less than the hundredths digit of Z.
(2) The thousandths digit of Y is greater than the hundredths digit of Y and less than the tenths digit of Y.
[Reveal] Spoiler: OA

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Re: Y and Z are both positive numbers less than 1 . Is Y > Z [#permalink]

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New post 15 May 2011, 18:23
1) Insufficient
Let Y =0.x2 where x is some digit.
Z = 0.14
In this case we dont know the tenth digit of X. Hence insufficient

2) Insufficient
Let Y = 0.312. This does not tell us anything about Z

1) + 2) Sufficient The answer is YES

Let Y = 0.524
Z = 0.13x

Hence C

fluke wrote:
\(Y\) and \(Z\) are both positive numbers less than \(1\). Is \(Y > Z\) ?

(1) The hundredths digit of \(Y\) is greater than the tenths digit of \(Z\) and less than the hundredths digit of \(Z\).
(2) The thousandths digit of \(Y\) is greater than the hundredths digit of \(Y\) and less than the tenths digit of \(Y\).

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Re: Y and Z are both positive numbers less than 1 . Is Y > Z [#permalink]

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New post 15 May 2011, 20:03
To find the answer it is imp to know the the relation between tenths digit of Y & Z.
from both statement together we can get it.
Hence =>C
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Re: Y and Z are both positive numbers less than 1 . Is Y > Z [#permalink]

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New post 15 May 2011, 20:17
a Y = 0.55 | 0.37 Z = 0.46 gives different results. Not sufficient.

b only Y and no X, no sufficient.


a+b Y = 0.645 | 0.325 X = 0.36 | 0.13 both the cases Y> X.

C
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Re: Y and Z are both positive numbers less than 1 . Is Y > Z [#permalink]

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New post 17 May 2011, 01:14
(1)

y= 0.25
z = 0.46

y = 0.25
z = 0.16

Insufficient

(2)
tenths digit of Y is greater than hunderd's digit
Insufficient as we don't know about z

(1) + (2)

Tenths digit of y is > tenths digit of z

So y > z

Answer - C
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Re: Y and Z are both positive numbers less than 1 . Is Y > Z [#permalink]

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New post 12 Aug 2011, 22:16
Y = .abc

Z = .pqr

from statement 2: a > c > b

From statement 1:
b>P

from statement 1 a > b so a > p

there for Y is > Z

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Re: Y and Z are both positive numbers less than 1 . Is Y > Z [#permalink]

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New post 20 Aug 2011, 05:36
+1 for C.

Let Y = 0.cde
Let Z = 0.rst

Statement I: d > r ; d < s : Insufficient as we need relationship between c and r.
Statement II: e> d;e < c : Insufficient as we need relationship between c and r.

I and II together : c > e > d > r => Y > Z. Hence C

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Re: Y and Z are both positive numbers less than 1 . Is Y > Z [#permalink]

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New post 05 Dec 2014, 23:48
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Re: Y and Z are both positive numbers less than 1 . Is Y > Z   [#permalink] 05 Dec 2014, 23:48
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