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Proportions (Mathematics) Solved Questions & Notes (2026) - Apex Rankers

General Competitive Exams > Mathematics > Proportions

3 Total Solved Questions
~5 mins Estimated Reading Time
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Proportions

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Q. 1 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
A high-speed printer prints 4 pages in 15 seconds. At this constant rate, how many seconds will it take to print 25 pages?
A
60 seconds
B
75 seconds
C
93.75 seconds
✓ Correct
D
100 seconds
💡 Step-by-Step Explanation & Concept Rationale
The time required per page is $\frac{15}{4} = 3.75\text{ seconds}$. For 25 pages: \[\text{Total Time} = 25 \times 3.75 = 93.75\text{ seconds}\] Thus, the correct option is (C).
Q. 2 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
If the proportion is $7 : 4 = 21 : x$, what is the value of $x$?
A
8
B
10
C
12
✓ Correct
D
14
💡 Step-by-Step Explanation & Concept Rationale
In a proportion, the product of extremes equals the product of means: \[\frac{7}{4} = \frac{21}{x} \implies 7x = 4 \times 21 = 84 \implies x = \frac{84}{7} = 12\] Thus, the correct option is (C).
Q. 3 Quantitative Aptitude Test
Difficulty: Hard (1 Mark)
On a map scale, a distance of 10 miles is represented by 1.5 cm. What distance on the map represents 40 miles?
A
3 cm
B
4.5 cm
C
6 cm
✓ Correct
D
7.5 cm
💡 Step-by-Step Explanation & Concept Rationale
Using direct proportion: \[\text{Map Distance} = \frac{1.5\text{ cm}}{10\text{ miles}} \times 40\text{ miles} = 1.5 \times 4 = 6\text{ cm}\] Thus, the correct option is (C).
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