Geometry & Mensuration
18 questions available
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Q1.The distance of foot of ladder to bottom of wall is 3m and height of wall is 4m. Find length of ladder?
Correct Answer: C
Using the Pythagorean theorem (3-4-5 triangle), the ladder length is 5 meters.
Q2.Which of the following are the lengths of Triangle :
Correct Answer: D
15, 20, and 25 form a Pythagorean triple (3-4-5 scaled), so all three can be sides of a right triangle.
Q3.If ladder makes angle with wall is 45degree and ladder is 5m away from the wall,what is the height of wall ?
Correct Answer: C
At 45°, tan(45°) = height/distance = 1. So height = distance = 5m.
Q4.A firefighter's ladder of length 13m was kept at a distance of 5m from a building to reach a window on the building. At what height is the window from the ground?
Correct Answer: C
Using Pythagorean theorem: height = √(13² - 5²) = √(169-25) = √144 = 12m.
Q5.If one angle of an isosceles triangle is 68 degrees, then possible values of the second angle are:
Correct Answer: D
In an isosceles triangle, the base angles are equal, so the second angle could be 68° (if base angles) or up to just under 112° (if apex), giving a range that doesn't match the fixed options, so 'None of these' is correct.
Q6.If one angle of an Isosceles triangle is 68 degrees, then possible values of the second angle are,
Correct Answer: D
Correct answer is D: None of these
Q7.The total perimeter of a semicircle is 20.6 cm. What is the approximate radius of the semicircle?
Correct Answer: A
Correct Answer: 4 cm.
Q8.The perimeter of an equilateral triangle is 24 cm. What is the length of one side of the triangle?
Correct Answer: C
Correct Answer: 80 mm.
Q9.The exterior angle of a triangle is 80 degrees and the interior opposite angles are in the ratio 1:3. The interior angles measure:
Correct Answer: C
Correct Answer: 20 and 60 degrees.
Q10.The angle made by two lines is called:
Correct Answer: D
Correct Answer: None of these.
Q11.A polygon that consists of 8 sides is called:
Correct Answer: C
Correct Answer: Octagon.
Q12.A measure of angle which is the complement of itself is:
Correct Answer: B
Correct Answer: 45 degrees.
Q13.A triangle has ______ vertices.
Correct Answer: C
Correct Answer: 3.
Q14.The sum of three angles of an isosceles triangle is:
Correct Answer: B
Correct Answer: 180 degrees.
Q15.Which of the following is the longest chord of a circle?
Correct Answer: B
Correct Answer: Diameter.
Q16.In a right triangle with angles of 90° and 30°, what is the third angle?
Correct Answer: B
The sum of angles in a triangle is always 180°. Third angle = 180° - 90° - 30° = 60°.
Q17.Median term relates with?
Correct Answer: C
In geometry, a median of a triangle is a line segment connecting a vertex to the midpoint of the opposite side.
Q18.A triangle that has 3 equal angles is called:
Correct Answer: C
A triangle with three equal angles is called an equilateral triangle. Each angle in an equilateral triangle is exactly 60 degrees, and all three sides are equal.