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When viewed through a certain microscope objects appear 120 times larg

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Bunuel
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When viewed through a certain microscope objects appear 120 times larg [#permalink] New post   07 Jun 2019, 03:09
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When viewed through a certain microscope objects appear 120 times larger. If a red blood cell appears to have a radius of 49.2 centimeters, what is the actual diameter, in millimeters of the cell? (1 millimeter = 0.1 centimeter)

A. 0.82
B. 4.1
C. 8.2
D. 11.8
E. 82
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Re: When viewed through a certain microscope objects appear 120 times larg [#permalink] New post   07 Jun 2019, 03:20
120 D = 49.2 x 2 cm (diameter = 2 times radius)

1 cm = 10 mm

Hence

120 D = 432 x 2 mm

D = 8.2 mm

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Re: When viewed through a certain microscope objects appear 120 times larg [#permalink] New post   07 Jun 2019, 03:21
Bunuel wrote:
When viewed through a certain microscope objects appear 120 times larger. If a red blood cell appears to have a radius of 49.2 centimeters, what is the actual diameter, in millimeters of the cell? (1 millimeter = 0.1 centimeter)

A. 0.82
B. 4.1
C. 8.2
D. 11.8
E. 82


The Diameter is 49.2*2=98.4 Cm; As it appears 120 times larger diameter = 98.4/120 = .82 cm; in millimeter = 8.2 mm IMO Option C
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Re: When viewed through a certain microscope objects appear 120 times larg [#permalink] New post   07 Jun 2019, 03:22
Bunuel wrote:
When viewed through a certain microscope objects appear 120 times larger. If a red blood cell appears to have a radius of 49.2 centimeters, what is the actual diameter, in millimeters of the cell? (1 millimeter = 0.1 centimeter)

A. 0.82
B. 4.1
C. 8.2
D. 11.8
E. 82


dia = 49.2*2
size ; 49.2/120 * 10
IMO C; 8.2
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Re: When viewed through a certain microscope objects appear 120 times larg [#permalink] New post   07 Jun 2019, 22:13
Bunuel wrote:
When viewed through a certain microscope objects appear 120 times larger. If a red blood cell appears to have a radius of 49.2 centimeters, what is the actual diameter, in millimeters of the cell? (1 millimeter = 0.1 centimeter)

A. 0.82
B. 4.1
C. 8.2
D. 11.8
E. 82


Actual radius of red blood cell = 49.2/120 = 0.41 cms

So, diameter = 0.82 cms

1 cm = 10 mm
0.82 cm = 10*0.82 = 8.2 mm

So, Option C

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Re: When viewed through a certain microscope objects appear 120 times larg [#permalink] New post   07 Jun 2019, 22:39
Diameter = 49.2*2 = 98.4 cm

1 cm = 10 mm

Diameter = 984 mm

120D = 984

D = \(\frac{984}{120}\)

D = 8.2 mm

OPTION: C
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Re: When viewed through a certain microscope objects appear 120 times larg [#permalink] New post   12 Jun 2019, 23:13
Why is my solution wrong? Pls explain.

120 times of x
so I am assuming

2.2x = 49.2
x = 22.3
diameter = 22.3*2 = 44.6

in mm, 44.6/0.1 = 446

I believe I cannot take 120 times as 2.2x, why is this wrong? Please explain.
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Re: When viewed through a certain microscope objects appear 120 times larg [#permalink] New post   12 Jun 2019, 23:26
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mup05ro wrote:
Why is my solution wrong? Pls explain.

120 times of x
so I am assuming

2.2x = 49.2
x = 22.3
diameter = 22.3*2 = 44.6

in mm, 44.6/0.1 = 446

I believe I cannot take 120 times as 2.2x, why is this wrong? Please explain.


mup05ro

See the difference

—> 2 times of x = 2x
—> 120 times of a = 120*a

You are getting confused with the percent. Question doesn’t ask about the percent.

Eg:
—> 20% of x = 20/100*x = 0.2x
—> 120 percent of x = 120/100*x = 1.2x
—> 20% more than x = x + 20% of x = 1.2x
—> 120% more than x = x + 120% of x = 2.2x

Hope the difference is clear.

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Re: When viewed through a certain microscope objects appear 120 times larg [#permalink]
12 Jun 2019, 23:26
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