Quantitative Aptitude

Fractions and Percentages

344 Questions

Fractions and percentages form the foundation of quantitative aptitude, requiring the conversion of values between different formats. Questions cover percentage increases, fractional equivalents, and basic arithmetic manipulations. These concepts are heavily tested in SSC, banking, and railway competitive exams.

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Fractions and Percentages Questions

Multiple choice

Percentage of lead in lead pencils is

  1. 0

  2. 31 - 66

  3. 40

  4. 80
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

'Lead pencils' contain no actual lead metal. They are made of graphite (a form of carbon) mixed with clay. The name originated historically when graphite was mistaken for a form of lead. Graphite is still sometimes called 'black lead' in certain contexts, but modern pencils contain 0% lead.

Multiple choice

Percentage of carbon in steel ranges from

  1. 0·1 to 1·5

  2. 1·5 to 3·0

  3. 3·0 to 4·0

  4. 4·0 to 6·0
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Steel is an alloy primarily composed of iron and carbon. The carbon content typically ranges from 0.1% to 1.5% for most common steels - mild steel has 0.05-0.25%, medium carbon steel 0.25-0.60%, and high carbon steel 0.60-1.0%. This range covers the vast majority of commercial steel applications. Options B, C, and D represent carbon levels that would approach cast iron or exceed typical steel compositions.

Multiple choice

Two numbers X and Y are 20% and 28% less than a third number Z. Find by what percentage is the number Y less the number X?

  1. 15

  2. 25

  3. 20

  4. 28

  5. 10
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

As per the given data: X = Z * (80/100) => X is 20% less than Z. Y = Z * (72/100) => Y is 28% less than Z. Lets assume Y is m% less than X. So, Y = X(100 - m)/100 => z * (72/100) = Z * (80/100) (100 -m)/100 => m = 90 =>100 - m = 10 So, Y is 10 % less the number X. Option 5 is correct.

Multiple choice

Basic point is a unit equal to ____ percent.

  1. 1/100

  2. 3/100

  3. 6/100

  4. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A basic point (or basis point) in financial terms equals 1/100 of 1 percent, or 0.01%. It's commonly used to measure changes in interest rates, bond yields, and other financial percentages.

Multiple choice

1/6 part of 3 percent is

  1. 0.006

  2. 0.500

  3. 0.050

  4. 0.005

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

3% = 3/100 Now, (1/6) (3/100) = (1/2) (1/100) = 0.5/100 = 0.005

Multiple choice

40% of 1640 + ? = 35% of 980 + 150% of 850

  1. 372

  2. 842

  3. 962

  4. 1052

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

? = 35% of 980 + 150% of 850 - 40% of 1640 = (35/100 * 980 + 150/100 * 850) - (40/100 * 1640) = (343=1275-656) = (1618-656) = 962