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by danjuma » Sat Dec 04, 2010 10:07 pm
What is the hundredths digit of the decimal Z?

a. The tenths digit of 100z is 2

b.The unit digit of 1000z is 2
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by goyalsau » Sun Dec 05, 2010 2:31 am
danjuma wrote:What is the hundredths digit of the decimal Z?

a. The tenths digit of 100z is 2

b.The unit digit of 1000z is 2
Let the Number be .abc We want the Value of b

I ) The tenths digit of 100z is 2

.ab * 100 = ab tenth digit of ab is (a )

a = 2

In sufficient.

II ) The unit digit of 1000z is 2

.abc * 1000 = abc,

Now c = 2 ,
IN sufficient.

Combining Both the statement. we get, .abc = .2b2
We want the value of b

Still insufficient

My answer is E.
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by tomada » Tue Dec 07, 2010 1:37 pm
I have same answer as goyalsau, (E).

I let Z= 0.542, so 100Z = 54.2, and Statement (1) is satisfied. Similarly, 1000Z = 542, so Statement (2) is satisfied.
In this case the hundredths digit of Z is 4.

Alternatively, let Z=0.512. 100Z = 51.2, so Statement (1) is satisfied. Similarly, 1000Z = 512, so Statement (2) is satisfied.
In this case the hundredths digit of Z is 1.

Since there is more than one value of the hundredths digit of Z that will satisfy both statements, the combination of the two statements is insufficient.
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