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Quantitative Reasoning Properties of shapes Online Test

Mustansar KhanLast Updated: July 3, 2025

Quantitative Reasoning Aptitude Test

Properties of shapes Test Online

Total Questions:	40
Time Allowed:	20 Minutes
Total Marks:	40
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	Aptitude Test Quantitative Reasoning Decimal Fraction Test Mathematics Aptitude Questions Entrance Tests and Recruitment Test

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1. A shape with one pair of parallel sides is a:

Trapezoid

Rhombus

Rectangle

Parallelogram

2. In a right triangle, the sum of the acute angles is:

45°

60°

180°

90°

3. The volume of a sphere of radius r is:

2πr³

(4/3)πr³

πr³

4πr²

4. The circumference of a circle is:

πd

πr

πr²

5. A regular octagon has an interior angle measure of:

108°

120°

135°

112.5°

6. The opposite angles in a cyclic quadrilateral:

Sum to 270°

Are equal

Sum to 180°

Sum to 90°

7. A rhombus has diagonals that:

Are equal

Are parallel

Do not intersect

Bisect each other at right angles

8. The area of a parallelogram with base b and height h is:

(1/2)bh

b + h

2bh

9. The ratio of area of similar triangles equals:

Same as side ratio

Half of side ratio

Square of side ratio

Cube of side ratio

10. The longest chord in a circle is:

Any radius

Any secant

Any diameter

Any tangent

11. What is the sum of exterior angles of any polygon?

180°

360°

540°

Depends on sides

12. A line segment from the center of a circle to a point on the circle is called:

Chord

Secant

Diameter

Radius

13. A regular triangle is another name for:

Scalene triangle

Right triangle

Equilateral triangle

Isosceles triangle

14. A quadrilateral with opposite sides equal and parallel is called a:

Rhombus

Kite

Parallelogram

Trapezoid

15. The inradius (r) of a right triangle with legs a and b and hypotenuse c is:

(a+b−c)

ab/c

(a+b−c)/2

a+b+c

16. Which shape has all sides equal and all angles equal?

Rhombus

Square

Parallelogram

Rectangle

17. The cross-section of a cylinder by a plane perpendicular to its axis is a:

Ellipse

Rectangle

Triangle

Circle

18. Triangles ABC and DEF are similar. If AB = 3 cm, DE = 4 cm, and area(ABC) = 9, what is area(DEF)?

19. In a right triangle, medians from hypotenuse endpoints meet at:

Centroid

Orthocenter

Incenter

Circumcenter

20. Area of a triangle given base b and height h is:

(1/2)bh

b + h

2bh

21. A trapezoid has one pair of parallel sides; the others are:

Perpendicular

Parallel

Non-parallel

Equal

22. If two triangles are similar, the ratio of perimeters equals:

Ratio of their areas

Double the side ratio

Ratio of their corresponding sides

Square of side ratio

23. If coordinates of triangle vertices are (0,0), (b,0), (0,h), its area is:

b + h

bh/4

(1/2)bh

24. A cube has how many faces?

25. A pyramid with base area B and height h has volume:

(1/2)Bh

(1/4)Bh

(1/3)Bh

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26. All angles in an equilateral triangle measure:

45°

60°

120°

90°

27. If a square has side length s, the diagonal length is:

s√2

s²

s√3

28. What is the sum of all interior angles in a triangle?

270°

360°

90°

180°

29. The sum of interior angles in a hexagon is:

360°

540°

900°

720°

30. The measure of each exterior angle of a regular pentagon is:

72°

90°

60°

31. Total number of edges in a rectangular prism is:

32. A cylinder's volume is:

πr²h

2πrh

πr²

(1/3)πr²h

33. In coordinate geometry, slope of a horizontal line is:

Negative

Undefined

34. A quadrilateral with four right angles and adjacent sides of unequal lengths is a:

Rectangle

Rhombus

Kite

Square

35. In a rectangle, the diagonals:

Bisect each other but are unequal

Are perpendicular

Bisect each other and are equal

Are equal but not bisecting

36. The distance between parallel lines is measured along a line:

Perpendicular

Horizontal

Vertical

At 45°

37. A regular hexagon can be divided into how many equilateral triangles?

38. Area of a circle with radius r is:

πr³

πr²

2πr

πr

39. How many lines of symmetry does an isosceles triangle have?

40. The interior angles of a quadrilateral sum to:

180°

270°

360°

540°

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Mustansar KhanLast Updated: July 3, 2025

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Quantitative Reasoning Properties of shapes Online Test

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