Directions How to Answer

Aptitude Test Topic: Geometry

Geometry questions are included in Quantitative section of some of major tests.

Directions

Solve each problem and indicate the best of the answer choices given.

Numbers

All numbers used are real numbers.

Figures

Figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. Straight lines may sometimes appear jagged. All figures lie on a plane unless otherwise indicated.

To give the answer click/tap the option alphabet for your answer choice. for correct answer green check and for wrong answer a red cross will appear along with a button to show explanation with or without video of the question answer.

Geometry: Circles Practice MCQ

Question Statement:

circles 04 -16106176
In the circle shown in the figure, the length of the arc ACB is 3 times the length of the arc AB. What is the length of the line segment AB ?

Explanation:

Correct Answer: E

Since the length of the arc ACB is 3 times the length of the arc AB, the angle made by the arc ACB must be three times the angle made by the arc AB. Now, the two arcs together make 360° at the center of the circle. Hence, the smaller angle, the angle made by the arc AB, must equal one-quarter of the full angle, which is 360°. One-quarter of 360° is 90°. Hence, . Hence, triangle AOB is a right triangle, and applying The Pythagorean Theorem to the triangle yields

OA = OB = radius of circle = OC = 3 (from the figure)

The answer is (E).

Question: 10 Test: 4 of 5 Next Test

Tests

You are taking Aptitude Test No. 4

Each aptitude test is comprised of 10 except the last test which might have fewer than 10 in some topics.

You are at question (MCQ) number 10 and Test Number 4 of Geometry: Circles. To deal with Geometry questions, you must take lesson on the subject. In case of science and Art subjects revise your text books and in case of general aptitude topics take lessons from the topic page.

The question: circles 04 -16106176 can be solved with the concepts and understanding of Geometry.