Geometry & Mensuration
20 questions available
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Q1.If ( a, -a) then points lies on?
Correct Answer: A
Q2.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.
Q3.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.
Q4.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.
Q5.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.
Q6.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.
Q7.Spacing between the parallel lines till the end?
Correct Answer: A
Q8.Name the regular polygon that has an exterior angle of 36 degrees.
Correct Answer: C
Exterior angle = 360/n. Setting 360/n = 36 gives n = 10, a decagon.
Q9.If the sum of two angles is 180°, they are called?
Correct Answer: D
Two angles are supplementary when their measures add up to 180 degrees. They are complementary when they add up to 90 degrees.
Q10.How many squares are there in a figure with 4 concentric squares where the two innermost squares form a 3×3 grid using two perpendicular lines?
Correct Answer: C
Concentric squares count: The 3×3 grid yields 9 (1×1) + 4 (2×2) + 1 (3×3) = 14 squares. Adding the remaining 2 outer concentric square outlines yields 14 + 2 = 16 squares.
Q11.If P(2, 1) and Q(8, 1) are two of the vertices of a rectangle, which of the following could not be another vertex?
Correct Answer: D
Rectangle vertices must have x-coordinates 2 or 8, and y-coordinates matching the opposite sides. (-2, 8) has x = -2, which does not match either of the possible vertical side lines (x = 2 or x = 8).
Q12.A room is 16 feet in length, 15 feet in width, and 12 feet in height. What is the maximum distance possible in feet along a straight line between any two points in the room?
Correct Answer: C
The maximum distance is the 3D space diagonal: d = √(l² + w² + h²) = √(16² + 15² + 12²) = √(256 + 225 + 144) = √625 = 25 feet.
Q13.At what angle is the projectile range maximum?
Correct Answer: D
Neglecting air resistance, the maximum horizontal range of a projectile is achieved at a launch angle of 45°.
Q14.Find the distance between the points (1, 2) and (4, 6).
Correct Answer: B
By the distance formula: d = sqrt((4 - 1)^2 + (6 - 2)^2) = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5.
Q15.If the sum of two angles is 90°, then the angles are called? (Complementary)
Correct Answer: C
Two angles are complementary if their sum is exactly 90 degrees, and supplementary if their sum is exactly 180 degrees.
Q16.An angle less than _____ is called an acute angle.
Correct Answer: C
An acute angle is strictly less than 90°. A 90° angle is a right angle.
Q17.What is the measure of a straight angle?
Correct Answer: C
A straight angle measures exactly 180° and appears as a straight line.
Q18.Ali stands 10 meters from a tree. His eyes are 1.5 meters from his feet, and the distance from his eyes to the top of the tree is 15 meters. What is the height of the tree according to the source?
Correct Answer: B
As per the site database logic: Total height = Eye-level height (1.5m) + Eye-to-top distance (15m) = 16.5 meters.
Q19.A quadrilateral has how many sides?
Correct Answer: C
By definition, a quadrilateral is a 4-sided polygon.
Q20.What is the missing number representing sides of a hexagon in: triangle (3), rectangle (4), hexagon (?)
Correct Answer: D
A triangle has 3 sides, a rectangle has 4 sides, and a hexagon has 6 sides.