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Data Sufficiency - Tenths, hundredths??

Expert replies
by karthikpandian19 » Sat Nov 12, 2011 4:35 am
4.7☆◎3

If ☆ and ◎ each represent single digits in the decimal above, what digit does ☆ represent?

(1) When the decimal is rounded to the nearest tenth, 4.8 is the result.

(2) When the decimal is rounded to the nearest hundredth, 4.77 is the result.
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Source: — Data Sufficiency |

by user123321 » Sat Nov 12, 2011 5:38 am
karthikpandian19 wrote:4.7☆◎3

If ☆ and ◎ each represent single digits in the decimal above, what digit does ☆ represent?

(1) When the decimal is rounded to the nearest tenth, 4.8 is the result.

(2) When the decimal is rounded to the nearest hundredth, 4.77 is the result.
1) number can be between 4.75 - 4.79 so star can be any of 5,6,7,8,9. hence insufficient.
2) number can be between 4.765 - 4.774 so star can be any of 6,7. hence insufficient.

using both still insufficient. IMO E

user123321
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by rijul007 » Sat Nov 12, 2011 5:40 am
karthikpandian19 wrote:4.7☆◎3

If ☆ and ◎ each represent single digits in the decimal above, what digit does ☆ represent?

(1) When the decimal is rounded to the nearest tenth, 4.8 is the result.

(2) When the decimal is rounded to the nearest hundredth, 4.77 is the result.

Statement 1
When the decimal is rounded to the nearest tenth, 4.8 is the result.
☆ > 5

Insufficient

Statement 2
When the decimal is rounded to the nearest hundredth, 4.77 is the result.
4.7☆◎3
If â—Ž>=5
☆=6

If â—Ž<5
☆=7

Insufficient

Combining 2 statements
Same as statement 2


Option E
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