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 maths fraction lowest form of a fraction simplest ratio lowest form of fractions

The fraction equivalent to $\displaystyle \frac {1} {3} $ is ................

  1. $\displaystyle \frac {3} {9} $
  2. $\displaystyle \frac {5} {15} $
  3. $\displaystyle \frac {6} {18} $

  4. All the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

3×3=9 so 3/9=1/3

5×3=15 so 5/15=1/3
6×3=18 so 6/18=1/3
So all the given options are equivalent to 1/3
Option D is the correct answer.

Multiple choice maths fraction lowest form of a fraction simplest ratio lowest form of fractions

Which number should come in place of $\displaystyle \ \Box, \dfrac { 1 }{ 4 } +\dfrac { 2 }{ 4 } +\dfrac { \Box  }{ 4 } =1\dfrac { 1 }{ 2 } $

  1. $1$
  2. $2$
  3. $3$
  4. $4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$=\displaystyle \frac { 3 }{ 2 } -\frac { 1 }{ 4 } -\frac { 2 }{ 4 }=  \frac { 6-1-2 }{ 4 }= \frac{3} {4} $ 

Multiple choice maths fraction lowest form of a fraction simplest ratio lowest form of fractions

Reduce fraction to lowest form:
$\dfrac{144}{36}$

  1. $\dfrac{4}{1}$
  2. $\dfrac{12}{2}$
  3. $\dfrac{1}{36}$
  4. $\dfrac{4}{9}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\dfrac{144}{36}$


Dividing numerator and denominator by $12$, we get
$\dfrac{144}{36} = \dfrac{12}{3}$

Dividing both numerator and denominator again by $3$, we get

$\dfrac{12}{3} = \dfrac{4}{1}$

This is the lowest form

Multiple choice maths fraction lowest form of a fraction simplest ratio lowest form of fractions

Simplify: $\dfrac{5}{11} + 4\dfrac{3}{9} $

  1. $\dfrac{158}{33}$
  2. $\dfrac{168}{33}$
  3. $\dfrac{178}{33}$
  4. $\dfrac{148}{33}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
$\displaystyle \frac{5}{11}+4\frac{3}{9}=\frac{5}{11}+\frac{36+3}{9}=\frac{5}{11}+\frac{39}{9}$

$\displaystyle =\frac{5\times 9+11\times 39}{9\times 11}=\frac{45+429}{99}=\frac{474}{99}=\frac{158}{33}$

Multiple choice

If a number is increased by 20%, what is the percentage decrease required to bring it back to its original value?

  1. 16.67%

  2. 20%

  3. 25%

  4. 33.33%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the original number be x. Increased number = x + 20% of x = x + 0.2x = 1.2x Percentage decrease required = (Increased number - Original number) / Increased number x 100% = (1.2x - x) / 1.2x x 100% = 0.2x / 1.2x x 100% = 20%.

Multiple choice

What is the coinsurance for Medicare Part A?

  1. 20%

  2. 30%

  3. 40%

  4. 50%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Medicare Part A coinsurance is 20% of the Medicare-approved amount for covered services.

Multiple choice

What is the coinsurance for Medicare Part B?

  1. 20%

  2. 30%

  3. 40%

  4. 50%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Medicare Part B coinsurance is 20% of the Medicare-approved amount for covered services.

Multiple choice

A farmer has 120 acres of land. He plants corn on 40% of the land, soybeans on 30% of the land, and wheat on the remaining land. How many acres of land does he plant wheat on?

  1. 36

  2. 48

  3. 54

  4. 60
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The farmer plants corn on 40% of the land, which is 0.4 * 120 = 48 acres. He plants soybeans on 30% of the land, which is 0.3 * 120 = 36 acres. Therefore, he plants wheat on 120 - 48 - 36 = 36 acres.

Multiple choice

A farmer has 100 acres of land. He plants corn on 40% of the land, soybeans on 30% of the land, and wheat on the rest of the land. How many acres of land does the farmer plant wheat on?

  1. 20 acres

  2. 30 acres

  3. 40 acres

  4. 50 acres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find the number of acres planted with wheat, we can subtract the acres planted with corn and soybeans from the total acres: 100 acres - (40% of 100 acres + 30% of 100 acres) = 100 acres - (40 acres + 30 acres) = 30 acres.

Multiple choice

A farmer has 120 acres of land. He plants corn on 40% of the land, soybeans on 30% of the land, and wheat on the rest of the land. How many acres of land does the farmer plant wheat on?

  1. 36 acres

  2. 48 acres

  3. 60 acres

  4. 72 acres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find the number of acres planted with wheat, we can subtract the acres planted with corn and soybeans from the total acres: 120 acres - (40% of 120 acres + 30% of 120 acres) = 120 acres - (48 acres + 36 acres) = 48 acres.

Multiple choice

A farmer has 120 acres of land. He plants corn on 40% of the land, soybeans on 30% of the land, and wheat on the rest of the land. How many acres of land does he plant wheat on?

  1. 36

  2. 48

  3. 54

  4. 60
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The farmer plants corn on 40% of the land, which is 0.4 * 120 = 48 acres. He plants soybeans on 30% of the land, which is 0.3 * 120 = 36 acres. Therefore, he plants wheat on 120 - 48 - 36 = 36 acres.

Multiple choice

A farmer has 120 acres of land. He plants corn on 40% of the land, soybeans on 30% of the land, and wheat on the rest of the land. How many acres of land does he plant soybeans on?

  1. 36

  2. 48

  3. 54

  4. 60
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The farmer plants soybeans on 30% of the land, which is 0.3 * 120 = 36 acres.

Multiple choice

What is the success rate of root canal treatment?

  1. Over 90%

  2. Around 50%

  3. Less than 20%

  4. It varies widely depending on the individual case.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Root canal treatment boasts a high success rate, with over 90% of treated teeth functioning effectively for many years.