On a map, 1 inch represents 5 miles. If a certain state is represented on a map by a rectangle 10 inches by 7.2 inches, what is the area of the state in square miles?
Correct answer: D. 1800 mi2
- A. 360 mi2
- B. 720 mi2
- C. 1080 mi2
- D. 1800 mi2
Explanation
To find the area of the state in square miles, convert the dimensions from inches to miles using the given scale. The length of the rectangle on the map is 10 inches, which converts to 10 x 5 = 50 miles. The width is 7.2 inches, converting to 7.2 x 5 = 36 miles. The area of the state is determined by multiplying these two dimensions: Area = 50 miles x 36 miles = 1800 mi2.Options A, B, and C result from errors in conversion or calculation. Option A (360 mi2) has an incorrect conversion, Option B (720 mi2) likely involves partial conversion, and Option C (1080 mi2) reflects a miscalculation. Therefore, the correct area is Option D (1800 mi2).
Last updated
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
505 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 24 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
State whether a ∈ C, if {a} ⊂ A: i: A ⊆ B ii: B ⊆ C
If 2m=4x and 2w = 8x, what is m in terms of w?
The sum of the Series will be i) Tn = 7n -5 ii) 𝑑 = −5 iii) 𝑎 = 2 iv) 𝑛 = 16 Which two statements are sufficient to solve the given question?
If Lines AB||CD, then e = ?
Find the number of degrees in angle B?I. AC < BCII. Angle BCD = 100°III. Angle A + Angle B + Angle C = 180°IV. AB = BCV. ABC is an isosceles triangle Which two statements are sufficient to answer the question?