# Geometry Questions

Check out the answers of 21+ Geometry Practice Questions from here for preparation of SSC CGL/Railway/CAT Exam. The questions available here, covered all the concepts of geometry, so once you find out the solution of these Geometry Questions, then match it with the answers that are mentioned in the last section.

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Geometry is an important part of Mathematics and by solving these Geometry Questions and Answers; candidates will be able to learn various tips and tricks that will be helpful for them at the examination time. Different types of Geometry Problems are given here, so contenders must prepare it well.

## Geometry Questions

Answers for these questions are available at the end.

Question 1) If in a triangle ABC, cosA/a = cosB/b = cosC/c, then what can be said about the triangle?

1. Right angled triangle
2. Isosceles triangle
3. Equilateral triangle
4. Nothing can be inferred

Question 2) If the shaded area is one half the area of triangle ABC and angle ABC is right angle, then the length of line segment AD is  Question 3) A circle of maximum possible size is cut from a square sheet. Subsequently, a square of maximum possible size is cut from the resultant circle. What will be area of the final square?

1. 75% of the of the original square
2. 50% of the size of the original square
3. 75% of the size of the circle
4. 25% of the size of the original square

Question 4) Each interior angle of a regular polygon is 120 degrees greater than each exterior angle. How many sides are there in the polygon?

1. 6
2. 8
3. 12
4. 13

Question 5) Find the area of the sector covered by the hour hand after it has moved through 3 hours if the length of the hour hand is 7cm.

1. 77 sq.cm
2. 5 sq.cm
3. 35 sq.cm
4. 70 sq.cm

Question 6) What is the circum radius of a triangle whose sides are 7, 24 and 25 respectively?

1. 18
2. 5
3. 12
4. 14

Question 7) If ABC is a right angle triangle with angle A = 900 and 2s = a + b + c, where a > b > c where notations have their usual meanings, then which one of the following is correct?

1. (s – b) (s – c) > s (s – a)
2. (s – a) (s – c) > s (s – b)
3. (s – a) (s – b) < s (s – c)
4. 4s (s – a) (s – b) (s – c) = bc

Question 8) What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41?

1. 6
2. 4
3. 5
4. 5

Question 9) What is the ratio measures of the in-radius, circum-radius and one of the ex-radius of an equilateral triangle?

1. 1 : 2 : 5
2. 1 : 3 : 5
3. 1 : 2 : 3
4. 1 : 1.4142 : 2

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Question 10) If the largest angle in a triangle is 70o, what is least possible value of the smallest angle of the triangle?

1. 69o
2. 1o
3. 40o
4. 39o
5. 41o

Question 11) Which of the following is incorrect?

1. An incentre is a point where the angle bisectors meet.
2. The median of any side of a triangle bisects the side at right angle.
3. The point at which the three altitudes of a triangle meet is the orthocentre
4. The point at which the three perpendicular bisectors meet is the centre of the circumcircle.

Question 12) What is the area of the largest triangle that can be fitted into a rectangle of length ‘l’ units and width ‘w’ units?

1. lw/3
2. 2lw/3
3. 3lw/4
4. lw/2

Question 13) A stairway 10ft high is such that each step accounts for half a foot upward and one-foot forward. What distance will an ant travel if it starts from ground level to reach the top of the stairway?

1. 30 ft
2. 33 ft
3. 10 ft
4. 29 ft

Question 14) Find the number of triangles in an octagon.

1. 326
2. 120
3. 56
4. Cannot be determined

Question 15) What is the measure of in radius of the triangle whose sides are 24, 7 and 25?

1. 5
2. 3
3. 6
4. None of these

Question 16) If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?

1. 10 sides
2. 8 sides
3. 12 sides
4. 9 sides

Question 17) In the diagram below, CD = BF = 10 units and ∠CED = ∠BAF = 30o. What would be the area of triangle AED? (Note: Diagram below may not be drawn to scale.)  Question 18) What is the area of a circle with a diameter of 16?

1. 8
2. 16
3. 64
4. 128
5. 256

Question 19) Find the measure of the missing angle in the triangle below. 1. 35°
2. 40°
3. 45°
4. 50°
5. 55°

Question 20) What is the sum of the measures of the interior angles of a hexagon?

1. 540°
2. 720°
3. 810°
4. 1080°
5. 1440°

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Question 21) The figure below is a parallelogram with two angles given in terms of x. Determine the value of x. 1. 9
2. 10
3. 20
4. 22
5. 24

Question 22) The figure below is an equilateral triangle with sides of length 6. What is the area of the triangle?  Question 23) In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side? Question 24) The figure below contains only horizontal and vertical lines. Calculate its perimeter. 1. 27
2. 33
3. 36
4. 42
5. 48

Question 25) The circumference of a circle is 30. What is its area?

1. 15
2. 225
3. 400
4. 900
5. 3000

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Question 26) Find the area of the triangle below. 1. 20
2. 30
3. 35
4. 40
5. 80

Question 27) Which of the following could be the side lengths of a right triangle?

1. 3, 13, and 14
2. 4, 5, and 6
3. 4, 9, and 10
4. 5, 10, and 15
5. 5, 12, and 13

Question 28) What is the measurement of the indicated angle? 1. 45o
2. 90o
3. 60o
4. 50o

Question 29) What is (area of large circle) – (area of small circle) in the figure above? 1. 8 п cm2
2. 10 п cm2
3. 12 п cm2
4. 16 п cm2

Question 30) What is the volume of the above solid made by a hollow cylinder with half in size of the larger cylinder?

1. 1440 п in3
2. 1260 п in3
3. 1040 п in3
4. 960 п in3