Geometry & Mensuration
148 questions available
FILTER BY SUBTOPIC
Q1.A wheel makes 500 revolution and covered 22 km distance, Find diameter of wheel?
Correct Answer: B
Q2.If ( a, -a) then points lies on?
Correct Answer: A
Q3.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.
Q4.A circular cone base radius is R and height is H. If we decrease radius of cone by 20% and increase height by 10%. How much volume will decrease?
Correct Answer: A
New volume factor = (0.8)² × 1.1 = 0.704, meaning the volume decreases by 29.6%.
Q5.If a box of cube shape had a volume 2190cm3. Its one side area will be?
Correct Answer: C
Per the answer key, the surface area of one side of the cube works out to 171 cm².
Q6.The distance from point Q (2,1) is:
Correct Answer: A
Per the answer key, the distance calculated from point Q(2,1) is √5.
Q7.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.
Q8.If the perimeter of equatorial triangle is 60.Find its area
Correct Answer: B
For equilateral triangle with perimeter 60, side=20. Area = (√3/4)×20² = 100√3 cm².
Q9.If the volume of a cube is 343m3,then then find the area of one side:
Correct Answer: B
Side of cube = ∛343 = 7m. Area of one face = 7² = 49 m².
Q10.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.
Q11.Solve the given value 3degree x 5degree x 7degree:
Correct Answer: D
Any non-zero number to the power 0 equals 1. So 3°×5°×7° = 1×1×1 = 1.
Q12.If the length of shadow of tower is increase len the angle of elevation of the Sun?
Correct Answer: B
As shadow length increases, the angle of elevation of the sun decreases.
Q13.If the radius of cone is 10cm and height is 30find he volume of cone?
Correct Answer: C
Volume of cone = 1/3 πr²h = 1/3 × π × 100 × 30 = 1000π cm³.
Q14.Find distance b/w two given points (0,5),(-5,0)=?
Correct Answer: B
Distance = √[(0+5)²+(5-0)²] = √[25+25] = √50 = 5√2.
Q15.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.
Q16.If the area of square is 64cm2, What is the area of the circle inscribed in it?
Correct Answer: A
Side = 8cm, radius = 4cm. Area = π×4² = 16π ≈ 50.27 cm².
Q17.The point (-x,y) lies in which Quadrant?
Correct Answer: B
(-x, y) has negative x and positive y, placing it in the 2nd quadrant.
Q18.Length 58.7 and width 23.2, find the perimeter.
Correct Answer: A
Perimeter = 2(length + width) = 2(58.7+23.2) = 2(81.9) = 163.8 ≈ 164.
Q19.The area of a triangle is 216 cm² and its sides are in ratio 3:4:5. The perimeter of the triangle is?
Correct Answer: C
Using the 3-4-5 right triangle ratio and the given area, the perimeter works out to 72cm.
Q20.Spacing between the parallel lines till the end?
Correct Answer: A