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shoonya
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In the number 1.4ab5, a and b represent single positive 04 Aug 2006, 07:14
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In the number 1.4ab5, a and b represent single positive digits. If x = 1.4ab5, what is the value of 10 – x?

(1) If x is rounded to the nearest hundredth, then 10 – x = 8.56.

(2) If x is rounded to the nearest thousandth, then 10 – x = 8.564.



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In the number 1.4ab5, a and b represent single positive 04 Aug 2006, 07:35
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shoonya
In the number 1.4ab5, a and b represent single positive digits. If x = 1.4ab5, what is the value of 10 – x?

(1) If x is rounded to the nearest hundredth, then 10 – x = 8.56.

(2) If x is rounded to the nearest thousandth, then 10 – x = 8.564.
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Answer is E

To find 10-x we need to find a and be

From (1) if a=4 then b= one number from 1 to 4
if a=3 then b= one number from 5 to 9 INSUFF
From (2) if a=3 then b= one number from 5 to 9 INSUFF

From (1) and (2) a=3 and b= one number from 5 to 9
still without knowing be, 10-x may have multiple values. Hence INSUFF.
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In the number 1.4ab5, a and b represent single positive 04 Aug 2006, 07:48
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shoonya
In the number 1.4ab5, a and b represent single positive digits. If x = 1.4ab5, what is the value of 10 – x?

(1) If x is rounded to the nearest hundredth, then 10 – x = 8.56.

(2) If x is rounded to the nearest thousandth, then 10 – x = 8.564.
Show more

B

x = 1.4ab5

St1: x = 1.44 when rouunded off to nearest hundredth.
a = 3 or 4
if a = 3 then b >=5
if a = 4 then b < 5: INSUFF

St2: x = 1.436 when rounded to the nearest thousandth.
a = 3
b = 5
so x = 1.4355
10 -x = 8.5645 :SUFF
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In the number 1.4ab5, a and b represent single positive 04 Aug 2006, 07:59
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ps_dahiya
shoonya
In the number 1.4ab5, a and b represent single positive digits. If x = 1.4ab5, what is the value of 10 – x?

(1) If x is rounded to the nearest hundredth, then 10 – x = 8.56.

(2) If x is rounded to the nearest thousandth, then 10 – x = 8.564.
B

x = 1.4ab5

St1: x = 1.44 when rouunded off to nearest hundredth.
a = 3 or 4
if a = 3 then b >=5
if a = 4 then b < 5: INSUFF

St2: x = 1.436 when rounded to the nearest thousandth.
a = 3
b = 5
so x = 1.4355
10 -x = 8.5645 :SUFF
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I agree with your answer. I did a mistake in my second condition.
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In the number 1.4ab5, a and b represent single positive 04 Aug 2006, 08:58
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PS_Dahiya, I don't agree with your answer "B". I think the answer is "E".

How can you say that 1.436 means a = 3 and b = 5. The question says that it has been rounded to 1000th digit i.e 1.436.

1.431 to 1.435 can be rounded to 1.436, as the last digit is 5.

Am I missing something here?
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In the number 1.4ab5, a and b represent single positive 04 Aug 2006, 09:40
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>>1.431 to 1.435 can be rounded to 1.436, as the last digit is 5.
hey there
1.4315---> 1.432
1.4325---> 1.433
1.4335---> 1.434
1.4345---> 1.435
1.4356---> 1.436 *********bling bling **
1.4366---> 1.437 *****naaah***
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In the number 1.4ab5, a and b represent single positive 04 Aug 2006, 09:48
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My mistake. Thanks winsome.

I understand Dahiya's answer now.
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In the number 1.4ab5, a and b represent single positive 05 Aug 2006, 16:58
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shoonya
In the number 1.4ab5, a and b represent single positive digits. If x = 1.4ab5, what is the value of 10 – x?

(1) If x is rounded to the nearest hundredth, then 10 – x = 8.56.

(2) If x is rounded to the nearest thousandth, then 10 – x = 8.564.
Show more


(1) x = 1.44
a could be 3 when b>=5 Hence x = 1.4355 or x= 1.4365 etc

a could be 4 when b< 5 Hence x = 1.4405 or x= 1.4415 etc

Insuff
BCE
(2)
x = 1.436
x= 1.4355 since rounded to the nearest thousandth

Hence B

Heman



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