Geometry & Mensuration
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Q21.Find the Perimeter of square if the area is 256cm2?
Correct Answer: C
Q22.The Volume of a cube is 64cm3 which is painted, find its surface area?
Correct Answer: B
Q23.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.
Q24.The total perimeter of a semicircle is 20.6 cm. What is the approximate radius of the semi-circle?
Correct Answer: A
Perimeter of a semicircle = πr + 2r = r(π+2). Setting r(π+2) = 20.6 gives r ≈ 4 cm.
Q25.A water tank in the shape of a cuboid has length 1.5 metres and width 1.0 metre. How many litres of water are in the tank if the water is 60 centimetres deep?
Correct Answer: B
Volume = 1.5 x 1.0 x 0.6 = 0.9 m³ = 900 litres.
Q26.The inner circumference of a circular race track is 440m. If the width of the track is 14m, what is the radius of the outer circle?
Correct Answer: C
Inner radius = 440/(2π) ≈ 70m. Outer radius = 70 + 14 = 84m.
Q27.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.
Q28.What is the perimeter of a semi-circle lake having a radius of 700m?
Correct Answer: B
Perimeter = πr + 2r = 700(π+2) ≈ 3600m = 3.6 km.
Q29.What is the total surface area of a cylinder having a radius of 3.5 cm and height 5.5 cm?
Correct Answer: B
Total surface area of a cylinder = 2πr(r+h) = 2π(3.5)(3.5+5.5) ≈ 198 sq cm.
Q30.What is the area of a rectangle with length 6 cm and width 5 cm?
Correct Answer: A
Area = length × width = 6 × 5 = 30 cm².
Q31.What is the area of a rectangle with length 7 cm and width 6 cm?
Correct Answer: A
Area = length × width = 7 × 6 = 42 cm².
Q32.What is the area of a rectangle with length 8 cm and width 7 cm?
Correct Answer: A
Area = length × width = 8 × 7 = 56 cm².
Q33.What is the area of a rectangle with length 9 cm and width 8 cm?
Correct Answer: A
Area = length × width = 9 × 8 = 72 cm².
Q34.What is the area of a rectangle with length 10 cm and width 9 cm?
Correct Answer: A
Area = length × width = 10 × 9 = 90 cm².
Q35.What is the area of a rectangle with length 11 cm and width 10 cm?
Correct Answer: A
Area = length × width = 11 × 10 = 110 cm².
Q36.What is the area of a rectangle with length 12 cm and width 11 cm?
Correct Answer: A
Area = length × width = 12 × 11 = 132 cm².
Q37.What is the area of a rectangle with length 13 cm and width 12 cm?
Correct Answer: A
Area = length × width = 13 × 12 = 156 cm².
Q38.What is the area of a rectangle with length 14 cm and width 13 cm?
Correct Answer: A
Area = length × width = 14 × 13 = 182 cm².
Q39.What is the area of a rectangle with length 15 cm and width 14 cm?
Correct Answer: A
Area = length × width = 15 × 14 = 210 cm².
Q40.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