Q. 1
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Find the arithmetic mean of $2, 8, 5, 9, 6,$ and $12$.
💡
Step-by-Step Explanation & Concept Rationale
The arithmetic mean is: \[\text{Mean} = \frac{2 + 8 + 5 + 9 + 6 + 12}{6} = \frac{42}{6} = 7\] Thus, the correct option is (B).
Q. 2
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Find the median of the set: $4, 2, 7, 3, 10, 9, 13$.
💡
Step-by-Step Explanation & Concept Rationale
Arranging the $7$ numbers in ascending order: \[2, 3, 4, 7, 9, 10, 13\] The 4th (middle) number is $7$. Thus, the correct option is (B).
Q. 3
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Find the median of the following set of values: $45, 91, 62, 71, 55$.
💡
Step-by-Step Explanation & Concept Rationale
Arranging the $5$ numbers in ascending order: \[45, 55, 62, 71, 91\] The middle value (3rd element) is $62$. Thus, the correct option is (B).
Q. 4
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Find the mode of the dataset: $2, 5, 5, 6, 5, 7, 10, 11, 6, 5$.
💡
Step-by-Step Explanation & Concept Rationale
The mode is the value that appears with the highest frequency. Counting the occurrences: $5$ appears $4$ times, $6$ appears $2$ times, and other numbers appear once. Hence, the mode is $5$. Thus, the correct option is (B).
Q. 5
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Find the arithmetic mean of $2, 8, 5, 9, 6,$ and $12$.
💡
Step-by-Step Explanation & Concept Rationale
The arithmetic mean is calculated as: \[\text{Mean} = \frac{\sum x}{n} = \frac{2 + 8 + 5 + 9 + 6 + 12}{6} = \frac{42}{6} = 7\] Thus, the correct option is (B).
Q. 6
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Find the median of the dataset: $4, 2, 7, 3, 10, 9, 13$.
💡
Step-by-Step Explanation & Concept Rationale
Arrange the $n = 7$ numbers in ascending order: \[2, 3, 4, 7, 9, 10, 13\] The median is the 4th (middle) value, which is $7$. Thus, the correct option is (B).
Q. 7
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Determine the median of the set of marks: $45, 91, 62, 71, 55$.
💡
Step-by-Step Explanation & Concept Rationale
First arrange the $n = 5$ numbers in ascending order: \[45, 55, 62, 71, 91\] The median is the middle $\left(\frac{n+1}{2}\right) = 3\text{rd}$ term, which is $62$. Thus, the correct option is (B).
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