Fractions and Percentages

To find 5% of 6%, convert percentages to decimals: 5% = 0.05 and 6% = 0.06. Multiply: 0.05 × 0.06 = 0.0030. The decimal 0.0030 equals 0.3%, but as a pure decimal it is 0.003. The options appear to be in decimal form, so 0.003 is correct, which matches option C.

20% means 20/100, which equals 0.20. Multiplying 0.20 by 2 gives 0.4. This is basic percentage calculation.

About 90% of an iceberg's volume remains submerged underwater. This is due to the density difference between ice and seawater - ice is about 90% as dense as water, following Archimedes' principle.

To convert a ratio or fraction to a percentage, multiply by 100. (5 / 4) * 100 = 1.25 * 100 = 125%. 80% is the inverse ratio (4:5), and 12.5% is a decimal placement error.

Percentage increase is (New-Old)/Old. From 13 to 81 is ~523%. From 12 to 80 is ~566%. From 1 to 69 is (68/1)*100 = 6800%. Thus, 1 to 69 is the greatest increase.

To find 20% of 2, multiply 0.20 by 2, which equals 0.4. 20 and 4 are whole numbers far exceeding the value, and 0.04 represents 2% of 2.

2/20 simplifies to 1/10, which equals 10%. To convert fraction to percent, divide numerator by denominator and multiply by 100: (2÷20)×100 = 10%. 20% would be 4/20, 80% would be 16/20, and 100% would be 20/20.

Air contains approximately 21% oxygen, commonly rounded to 20% in general contexts. Nitrogen makes up about 78% of air, with trace gases making up the remaining 1%.

Rearrange the letters in 'ITEGR' to form a meaningful English word. The letters can be rearranged as T-I-G-E-R, which spells 'TIGER'.

Calculate 25% of 125, then subtract from 125. 25% means 1/4, so 125/4 = 31.25. Then 125 - 31.25 = 93.75.

Given x/y = 4, we have x = 4y. Then 2x - y = 2(4y) - y = 7y. Since x = 4y, y = x/4. So 2x - y = 7(x/4) = 1.75x, which equals 175% of x.

Steel is defined as an alloy of iron and carbon with carbon content typically between 0.02% and 2% by weight. The 2% upper limit is a critical distinguishing factor between steel and cast iron (which has higher carbon content, typically 2-4%). Beyond 2% carbon, the material is classified as cast iron, not steel. Options A (0.2%) is too low for most steels, C (6%) and D (20%) are in the cast iron range.

To find what percent of 5/8 is 8/5, calculate (8/5) ÷ (5/8) × 100 = (8/5) × (8/5) × 100 = 64/25 × 100 = 256%. Option A (100) would mean the fractions are equal, option C (64) is the product without multiplying by 100, and option D (1024) is incorrectly squared.

Let one part = x, other = 1700 - x. Equation: 0.3x - 0.25(1700 - x) = 70. Simplifying: 0.3x - 425 + 0.25x = 70, so 0.55x = 495, giving x = 900. Other part = 1700 - 900 = 800. Verification: 30% of 900 = 270, 25% of 800 = 200, difference = 70.

First multiply: 0.003 × 0.07 = 0.00021. To convert to percentage, multiply by 100: 0.00021 × 100 = 0.021%. Common errors come from miscounting decimal places - option A forgets to multiply by 100, option C shifts one place, option D shifts two places, and option E shifts three places.