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# M20-11

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Math Expert
Joined: 02 Sep 2009
Posts: 49320

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16 Sep 2014, 01:08
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:30) correct 17% (03:44) wrong based on 100 sessions

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On a certain map, 1 inch represents 5 miles. If the actual distance between two towns is 136 kilometers, what is the distance between these two towns on the map?

(1 mile = 1.6 kilometers; 1 inch = 2.5 centimeters)

A. 36.5 centimeters
B. 40.0 centimeters
C. 42.5 centimeters
D. 45.0 centimeters
E. 48.0 centimeters

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Posts: 49320

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16 Sep 2014, 01:08
Official Solution:

On a certain map, 1 inch represents 5 miles. If the actual distance between two towns is 136 kilometers, what is the distance between these two towns on the map?

(1 mile = 1.6 kilometers; 1 inch = 2.5 centimeters)

A. 36.5 centimeters
B. 40.0 centimeters
C. 42.5 centimeters
D. 45.0 centimeters
E. 48.0 centimeters

The actual distance in miles = $$\frac{136}{1.6} = \frac{1360}{16} = 85$$ miles. This corresponds to $$\frac{85}{5} = 17$$ inches on the map which is the same as $$17*2.5 = 42.5$$ centimeters.

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Joined: 17 May 2016
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GMAT 1: 740 Q46 V46

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29 Jul 2016, 03:56
What is the fastest way to divide by 2 or 3 numbers as in 1360 / 16 ?
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Joined: 02 Sep 2009
Posts: 49320

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29 Jul 2016, 04:01
nickimonckom wrote:
What is the fastest way to divide by 2 or 3 numbers as in 1360 / 16 ?

Divisibility Rules

2 - If the last digit is even, the number is divisible by 2.

3 - If the sum of the digits is divisible by 3, the number is also.

4 - If the last two digits form a number divisible by 4, the number is also.

5 - If the last digit is a 5 or a 0, the number is divisible by 5.

6 - If the number is divisible by both 3 and 2, it is also divisible by 6.

7 - Take the last digit, double it, and subtract it from the rest of the number, if the answer is divisible by 7 (including 0), then the number is divisible by 7.

8 - If the last three digits of a number are divisible by 8, then so is the whole number.

9 - If the sum of the digits is divisible by 9, so is the number.

10 - If the number ends in 0, it is divisible by 10.

11 - If you sum every second digit and then subtract all other digits and the answer is: 0, or is divisible by 11, then the number is divisible by 11.
Example: to see whether 9,488,699 is divisible by 11, sum every second digit: 4+8+9=21, then subtract the sum of other digits: 21-(9+8+6+9)=-11, -11 is divisible by 11, hence 9,488,699 is divisible by 11.

12 - If the number is divisible by both 3 and 4, it is also divisible by 12.

25 - Numbers ending with 00, 25, 50, or 75 represent numbers divisible by 25.

Check for more here: math-number-theory-88376.html
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02 Oct 2017, 03:35
Convert all km to miles and then to inches to cm.

1 inch represents 5 miles => 1 inch = 5 miles

Given 1 mile = 1.6 km then we can write km into miles to inches => 1.6 *5 = 9 inches

To get 136 km into inches then we need to divide it by 9 = >136/9 = 17 inches.

Finally 17 * 2.5 centimeters = 42.5 cm.
M20-11 &nbs [#permalink] 02 Oct 2017, 03:35
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# M20-11

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