?
Categories
Account

Geometry & Mensuration

Download Q&A
Q. In a circle, if a central angle measures 80 degrees, what is the measure of the inscribed angle that subtends the same arc?
  • A. 20 degrees
  • B. 40 degrees
  • C. 80 degrees
  • D. 160 degrees
Q. In a circle, if a chord is drawn, which of the following statements is true regarding the angles formed?
  • A. The angles subtended by the chord at the center are equal.
  • B. The angles subtended by the chord at the circumference are equal.
  • C. The angles subtended at the center are half of those at the circumference.
  • D. The angles subtended at the circumference are equal to those at the center.
Q. In a circle, if a chord is perpendicular to a radius at its endpoint, what can be inferred about the chord?
  • A. It is the longest chord.
  • B. It bisects the circle.
  • C. It is a diameter.
  • D. It is bisected by the radius.
Q. In a circle, if an angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the remaining part of the circle? (2023)
  • A. 40 degrees
  • B. 80 degrees
  • C. 60 degrees
  • D. 20 degrees
Q. In a circle, if an angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the circumference?
  • A. 20 degrees
  • B. 40 degrees
  • C. 80 degrees
  • D. 160 degrees
Q. In a circle, if the angle subtended by an arc at the center is 60 degrees, what is the angle subtended at any point on the circumference?
  • A. 30 degrees
  • B. 60 degrees
  • C. 90 degrees
  • D. 120 degrees
Q. In a circle, if the angle subtended by an arc at the center is 60 degrees, what is the angle subtended at any point on the remaining part of the circle?
  • A. 30 degrees
  • B. 60 degrees
  • C. 90 degrees
  • D. 120 degrees
Q. In a circle, if the length of an arc is 10 cm and the radius is 5 cm, what is the angle in radians subtended by the arc at the center? (2021)
  • A. 1 rad
  • B. 2 rad
  • C. 3 rad
  • D. 4 rad
Q. In a circle, if the radius is doubled, how does the area change?
  • A. It remains the same.
  • B. It doubles.
  • C. It quadruples.
  • D. It increases by a factor of eight.
Q. In a circle, if the radius is increased by 50%, what happens to the area of the circle?
  • A. It increases by 50%
  • B. It doubles
  • C. It increases by 125%
  • D. It increases by 75%
Q. In a circle, if the radius is increased by 50%, what happens to the area?
  • A. Increases by 25%
  • B. Increases by 50%
  • C. Increases by 75%
  • D. Increases by 125%
Q. In a coordinate plane, if the point A(2, 3) is reflected across the x-axis, what are the coordinates of the reflected point?
  • A. (2, -3)
  • B. (3, 2)
  • C. (-2, 3)
  • D. (3, -2)
Q. In a coordinate plane, if the point A(2, 3) is reflected over the x-axis, what are the coordinates of the reflected point?
  • A. (2, -3)
  • B. (3, 2)
  • C. (-2, 3)
  • D. (-3, -2)
Q. In a cyclic quadrilateral, if one angle is 80 degrees, what is the maximum possible measure of the opposite angle?
  • A. 100 degrees
  • B. 80 degrees
  • C. 180 degrees
  • D. 90 degrees
Q. In a cyclic quadrilateral, the opposite angles are related in which of the following ways?
  • A. They are equal.
  • B. They are supplementary.
  • C. They are complementary.
  • D. They are independent.
Q. In a cyclic quadrilateral, the opposite angles are related in which way? (2023)
  • A. They are equal.
  • B. They are supplementary.
  • C. They are complementary.
  • D. They are independent.
Q. In a cyclic quadrilateral, which of the following is true regarding its opposite angles?
  • A. They are equal.
  • B. They are supplementary.
  • C. They are complementary.
  • D. They are congruent.
Q. In a cyclic quadrilateral, which of the following is true?
  • A. The opposite angles are supplementary
  • B. All sides are equal
  • C. The diagonals are equal
  • D. It has at least one right angle
Q. In a cyclic quadrilateral, which of the following properties holds true?
  • A. The sum of opposite angles is 180 degrees.
  • B. All sides are equal.
  • C. It has at least one right angle.
  • D. The diagonals are equal.
Q. In a cyclic quadrilateral, which of the following statements is true?
  • A. The opposite angles are supplementary.
  • B. All sides are equal.
  • C. It has at least one right angle.
  • D. It can only be a square.
Q. In a parallelogram, if one angle measures 60 degrees, what is the measure of the opposite angle?
  • A. 60 degrees
  • B. 120 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a parallelogram, if the base is 12 cm and the height is 5 cm, what is the area? (2020)
  • A. 60 cm²
  • B. 70 cm²
  • C. 80 cm²
  • D. 90 cm²
Q. In a parallelogram, which of the following properties holds true?
  • A. All sides are equal.
  • B. Diagonals bisect each other.
  • C. All angles are right angles.
  • D. Only opposite angles are equal.
Q. In a parallelogram, which of the following properties is NOT true?
  • A. Opposite angles are equal.
  • B. Adjacent angles are supplementary.
  • C. All sides are equal.
  • D. Diagonals bisect each other.
Q. In a polygon, if the sum of the interior angles is 720 degrees, how many sides does the polygon have? (2023)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. In a quadrilateral ABCD, if AB = CD and AD = BC, which of the following can be concluded?
  • A. ABCD is a rectangle.
  • B. ABCD is a parallelogram.
  • C. ABCD is a trapezium.
  • D. ABCD is a square.
Q. In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, what can be inferred about the sum of angles C and D?
  • A. C and D must be 100 degrees
  • B. C and D must be 180 degrees
  • C. C and D must be 90 degrees
  • D. C and D must be 360 degrees
Q. In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, what can be inferred about angles C and D?
  • A. They must be equal.
  • B. They must be supplementary.
  • C. They can be any values.
  • D. They must be complementary.
Q. In a quadrilateral ABCD, if angle A is 90 degrees and angle B is 45 degrees, what can be inferred about the other angles? (2023)
  • A. Angle C is 45 degrees and angle D is 90 degrees.
  • B. Angle C is 90 degrees and angle D is 45 degrees.
  • C. Angle C is 135 degrees and angle D is 135 degrees.
  • D. Angle C is 180 degrees and angle D is 0 degrees.
Q. In a quadrilateral ABCD, if the sum of the interior angles is 360 degrees, which of the following statements is true?
  • A. ABCD is a rectangle.
  • B. ABCD can be any shape.
  • C. ABCD must be a square.
  • D. ABCD is a triangle.
Showing 181 to 210 of 376 (13 Pages)

Geometry & Mensuration MCQ & Objective Questions

Geometry & Mensuration are crucial topics in mathematics that play a significant role in various school and competitive exams. Mastering these concepts not only enhances your problem-solving skills but also boosts your confidence during exams. Practicing MCQs and objective questions helps you familiarize yourself with the exam pattern, making it easier to tackle important questions effectively.

What You Will Practise Here

  • Understanding basic geometric shapes and their properties
  • Calculating area and perimeter of various figures
  • Exploring volume and surface area of 3D shapes
  • Applying the Pythagorean theorem in problem-solving
  • Utilizing important formulas for quick calculations
  • Interpreting diagrams and visual representations
  • Solving real-life problems using mensuration concepts

Exam Relevance

Geometry & Mensuration are integral parts of the mathematics syllabus for CBSE, State Boards, NEET, and JEE. These topics frequently appear in the form of objective questions and MCQs, often focusing on the application of formulas and theorems. Students can expect questions that require both theoretical understanding and practical application, making it essential to practice regularly to excel in these exams.

Common Mistakes Students Make

  • Confusing the formulas for area and perimeter
  • Overlooking units of measurement in calculations
  • Misinterpreting diagrams, leading to incorrect answers
  • Neglecting to apply the Pythagorean theorem correctly
  • Failing to check for the conditions of geometric properties

FAQs

Question: What are the key formulas I should remember for Geometry & Mensuration?
Answer: Important formulas include area and perimeter for 2D shapes, volume and surface area for 3D shapes, and the Pythagorean theorem for right-angled triangles.

Question: How can I improve my speed in solving Geometry & Mensuration MCQs?
Answer: Regular practice of MCQs and timed quizzes can help improve your speed and accuracy in solving these types of questions.

Start solving practice MCQs today to strengthen your understanding of Geometry & Mensuration. With consistent effort, you can master these topics and achieve your desired scores in exams!

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks