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number system. Easy but still not getting

Expert replies
by pardeep_10sharma » Sun Jun 27, 2010 1:24 am
The sides of a square region, measured to the
nearest centimeter, are 6 centimeters long. The
least possible value of the actual area of the
square region is

A.36.00 sq cm
B.35.00 sq cm
C.33.75 sq cm
D.30.25 sq cm
E.25.00 sq cm

Ans :- C. I shortlisted C and E because square can end with 5 in this context.
Join the discussion
Source: — Problem Solving |

by albatross86 » Sun Jun 27, 2010 3:01 am
To the nearest centimeter means that the actual length is rounded off to the nearest cm.

Example if the length had been 8.7cm it would have been rounded off to 9cm

So what is the range of lengths that would have been rounded off to 6cm?

This is given as 5.5cm to 6.4cm (By convention in maths)

so the least possible area is = (5.5)*(5.5)

Answer D. 30.25

Not sure what I did wrong, and how to get OA, awaiting more explanations.
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by selango » Sun Jun 27, 2010 3:38 am
I agree with albatross86.

The possible values are from 5.5 to 6.4.

The least possible value is 5.5 and area is 30.25.

@pradeep

what is the source of question?
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by pardeep_10sharma » Sun Jun 27, 2010 7:40 am
I have certain set test with me. It was one of those questions. I too tried the same what u have tried. Lets wait for others to answer.

anyways thanks 2 both of you.
selango wrote:I agree with albatross86.

The possible values are from 5.5 to 6.4.

The least possible value is 5.5 and area is 30.25.

@pradeep

what is the source of question?
Join the discussion

by amising6 » Sun Jun 27, 2010 8:16 am
pardeep_10sharma wrote:The sides of a square region, measured to the
nearest centimeter, are 6 centimeters long. The
least possible value of the actual area of the
square region is

A.36.00 sq cm
B.35.00 sq cm
C.33.75 sq cm
D.30.25 sq cm
E.25.00 sq cm

Ans :- C. I shortlisted C and E because square can end with 5 in this context.
nearest to 6 centimeter will be 5.5 to 6.4
now so least possible value will be 33.75 so
Ideation without execution is delusion
Join the discussion

by selango » Sun Jun 27, 2010 8:22 am
amising6 wrote:
pardeep_10sharma wrote:The sides of a square region, measured to the
nearest centimeter, are 6 centimeters long. The
least possible value of the actual area of the
square region is

A.36.00 sq cm
B.35.00 sq cm
C.33.75 sq cm
D.30.25 sq cm
E.25.00 sq cm

Ans :- C. I shortlisted C and E because square can end with 5 in this context.[/quot
nearest to 6 centimeter will be 5.5 to 6.4
now so least possible value will be 33.75 so
Can u explain how u select the least possible value?
Join the discussion