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Sagot :
For the given statement about hundredth digit of the given decimal z the following statement is true:
Option E. statement (1) and (2) together are not sufficient.
As given in the question,
Let us consider decimal z is represented by k.lmn
Here hundredth digit of z is equal to m
Now,
(1) The tenths digit of 100z is 2.
100z
= 100(k.lmn)
=klm.n
This implies n = 2
(2) The units digit of 1,000z is 2.
1,000z
= 1,000(k.lmn)
= klmn
This implies n =2
From both the statements we are getting the value of n which is not sufficient to get the value of required 'm'.
Therefore, Option E is the correct answer which shows both the statements are not sufficient to get the value required hundredth digit of decimal z.
The complete question is:
What is the hundredths digit of the decimal z ? (1) the tenths digit of 100z is 2. (2) the units digit of 1,000z is 2.
A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
C. Both statements together are sufficient, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
E. Statements (1) and (2) together are not sufficient.
Learn more about digit here
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