GMAT- Measurement Problems

GMAT- Measurement Problems

What is Meant by Measurement?

Measurement can be explained as a process of allocating a number to a characteristic of an entity or occurrence that can be associated with other events or objects. The application and scope of a measurement depends on the discipline as well as on the context.

Most commonly, the comparison framework used by measurements is taken from the International System of Units (SI). The International System of Units (SI) has defined seven basic units for measurement, namely: meter, kilogram, candela, second, kelvin, ampere, and mole. Let’s check some measurement units used by various entities.

Also Read: GMAT Problem Solving

There are basically five types of measures:

  1. Length
  2. Temperature
  3. Weights
  4. Cubic and volume
  5. Square

The table of length measures looks like:

Commonly Used Values
1 yd. 3 ft.
1 ft. 12 in.
1 furlong 40 rods
1 rod 5.5000 yd.
1 mi. 8 furlongs
1 mi. 1,760 yd.
1 mi. 5,280 ft
1 nautical mile 6076.11 ft.
1 hand 4 in
1 cable 120 fathoms
1 fathom 6 ft.
1 league 3 mi.

 

Reciprocal Values
1 in. 0.2500 hands
1 ft. 0.3333 yd.
1 in. 0.0833 ft.
1 ft. 0.1667 fathom
1 yd. 0.000568 mi.
1 ft. 0.000165 nautical mi.
1 ft. 0.000189 mi.
1 mi. 0.3333 leagues
1 rod 0.0250 furlongs
1 yd. 0.1818 rods
1 cable 0.00833 fathoms
1 furlong 0.1250 mi.

The Metric system includes

Metric System

1 km 1000 m.
1 yd. 0.9144 m.
1 mi. 1.6103 km.
1 in. 0.0254 m.
1 m. 0.1988 rod
1 m. 3.2808 ft.
1 in. 2.54 cm.
1 km 0.621 mi
1 m. 0.001 km.
1 rod 5.029 m.
1 ft. 30.48 cm.
1 m. 1.0936 yd.
1 cm. 0.3937 in.
1 m. 39.37 in.

 

Measurement of Weight

Commonly Used
1 ton 2000 lb.
1 lb. 16 oz.
Reciprocal Values
1 lb. 0.0005 ton
1 oz. 0.0625 lb.
Metric System
1 metric ton 0.9842 English ton
1 English ton 1.016 metric tons
1 gr. 0.03527 oz
1 oz. 28.35 gr
1 kg. 2.2046 lb
1 lb. 0.4536 kg
1 gr. 0.001 kg
1 kg 1000 gm

 

Temperature

Fahrenheit Centigrade
\(\small \frac{5}{9} \times \left (F-32 \right )\) \(\small 1 ^{\circ }\) Centigrade
\(\small 1 ^{\circ }\)

Fahrenheit

\(\small \left (\frac{9}{5} \times C \right ) + 32\)

 

Abbreviations Used

cm = centimeter
kg. = kilogram
m. = meter
km. = kilometer
gr. = gram
mi. = mile
yd. = yard
ft. = foot
lb. = pound
oz. = ounce
l. = liter
in. = inch

Let’s solve a problem to understand it in further details.

Question: 40L of water was brought to the golf court by Sally, and the water was divided equally by her in 10 coolers. How many milliliters of water were put in each cooler by Sally?

Solution: Sally divided 40L into 10 equal parts.

So, \(\small 40 \div 10 = 4L\)

Hence, each cooler contains 4L of water.

Since, the value is asked in milliliters, so we need to convert Liters in milliliters.

As, 1L = 1000ml

So, 4L = 4000ml

Hence, each cooler contains 4000 ml of water.

Also Read: GMAT Quant Arithmetic Syllabus

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