Q. 1
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
What is the fractional or decimal equivalent of 100%?
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Step-by-Step Explanation & Concept Rationale
By definition of percent: \[100\% = \frac{100}{100} = 1\] Thus, the correct option is (A).
Q. 2
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Convert the fraction $\frac{1}{2}$ to a percentage:
💡
Step-by-Step Explanation & Concept Rationale
To convert a fraction to a percentage, multiply by $100\%$: \[\frac{1}{2} \times 100\% = 50\%\] Thus, the correct option is (A).
Q. 3
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
What is 80% of 20?
💡
Step-by-Step Explanation & Concept Rationale
Calculate: \[80\% \times 20 = 0.80 \times 20 = 16\] Thus, the correct option is (B).
Q. 4
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
What is 60% of 20?
💡
Step-by-Step Explanation & Concept Rationale
Calculate: \[60\% \times 20 = 0.60 \times 20 = 12\] Thus, the correct option is (B).
Q. 5
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
What is 40% of 60?
💡
Step-by-Step Explanation & Concept Rationale
Calculate: \[40\% \times 60 = 0.40 \times 60 = 24\] Thus, the correct option is (C).
Q. 6
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
What is 45% of 90?
💡
Step-by-Step Explanation & Concept Rationale
Calculate: \[45\% \times 90 = \frac{45}{100} \times 90 = 0.45 \times 90 = 40.5\] Thus, the correct option is (B).
Q. 7
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
What percent of 125 is 50?
💡
Step-by-Step Explanation & Concept Rationale
The percentage is calculated as: \[\left(\frac{50}{125}\right) \times 100\% = \left(\frac{2}{5}\right) \times 100\% = 40\%\] Thus, the correct option is (C).
Q. 8
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Ali secured 72% marks in an annual examination. If his score was 864 marks, what were the total maximum marks of the examination?
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Step-by-Step Explanation & Concept Rationale
Let the maximum marks be $M$. \[0.72 \times M = 864 \implies M = \frac{864}{0.72} = 1200\] Thus, the maximum marks were 1,200. Thus, the correct option is (D).
Q. 9
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
In a college with a total enrollment of 1,335 students, 60% are boys. How many girls are enrolled in the college?
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Step-by-Step Explanation & Concept Rationale
The percentage of girls in the college is: \[100\% - 60\% = 40\%\] \[\text{Number of Girls} = 1335 \times 0.40 = 534\] Thus, the correct option is (B).
Q. 10
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
A sports team lost 75% of the matches it played this season. If the team won 45 matches and drew none, what is the total number of matches played?
💡
Step-by-Step Explanation & Concept Rationale
Since the team lost 75% of matches and drew none, the winning percentage is: \[100\% - 75\% = 25\%\] Let total matches be $N$: \[0.25 N = 45 \implies N = \frac{45}{0.25} = 45 \times 4 = 180\] Thus, the correct option is (D).
Q. 11
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Convert the percentage $10\%$ into a simplified fraction.
💡
Step-by-Step Explanation & Concept Rationale
Convert $10\%$ to a fraction: \[10\% = \frac{10}{100} = \frac{1}{10}\] Thus, the correct option is (C).
Q. 12
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
What is the fraction equivalent of $15\%$ in simplest form?
💡
Step-by-Step Explanation & Concept Rationale
Convert $15\%$ to a fraction and divide numerator and denominator by $5$: \[15\% = \frac{15}{100} = \frac{3}{20}\] Thus, the correct option is (B).
Q. 13
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
The percentage $25\%$ is equal to which simplified fraction?
💡
Step-by-Step Explanation & Concept Rationale
Convert $25\%$ to a simplified fraction: \[25\% = \frac{25}{100} = \frac{1}{4}\] Thus, the correct option is (B).
Q. 14
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Which fraction represents $20\%$?
💡
Step-by-Step Explanation & Concept Rationale
Convert $20\%$ to a fraction: \[20\% = \frac{20}{100} = \frac{1}{5}\] Thus, the correct option is (C).
Q. 15
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
If a student's marks are expressed as $\frac{1}{4}$ of the total, what is the percentage?
💡
Step-by-Step Explanation & Concept Rationale
Multiply the fraction by $100\%$: \[\frac{1}{4} \times 100\% = 25\%\] Thus, the correct option is (B).
Q. 16
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Convert the fraction $\frac{1}{10}$ into a percentage.
💡
Step-by-Step Explanation & Concept Rationale
To convert a fraction to a percentage, multiply by $100\%$: \[\frac{1}{10} \times 100\% = 10\%\] Thus, the correct option is (C).
Q. 17
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
What is $20\%$ of $80$?
💡
Step-by-Step Explanation & Concept Rationale
Calculate $20\%$ of $80$: \[\text{Value} = \frac{20}{100} \times 80 = \frac{1}{5} \times 80 = 16\] Thus, the correct option is (C).
Q. 18
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
What is $20\%$ of $60$?
💡
Step-by-Step Explanation & Concept Rationale
Calculate $20\%$ of $60$: \[\text{Value} = \frac{20}{100} \times 60 = \frac{1}{5} \times 60 = 12\] Thus, the correct option is (B).
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