446 questions asked across 4 exam years, newest first
Area of the floor of a cubical room is 64 m2. The length of the longest rod that can be kept in the room is:
Answer: D
A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with internal radius 15 cm, what will be the height to which the water rises in it?
Answer: A
A solid metallic sphere of radius 12 cm is melted and recast into a cone having diameter of the base as 12 cm. What is the height of the cone?
Answer: B
In the given figure, if PA and PB are tangents to the circle with centre O such that ∠APB = 54°, then ∠ OBA = ________.
Answer: A
In the figure, XYZ is a secant and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY.
Answer: D
If PT is a tangent at T to a circle whose centre is O and OP = 17 cm and OT = 8 cm, find the length of the tangent segment PT
Answer: D
The circumference of the two circles is 264 cm and 396 cm respectively. What is the difference between their radii?
Answer: D
The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube?
Answer: A
Study the given pie-chart and answer the question that follows. The pie-chart shows the expenditure by a family on different heads. The angle formed by the sector representing education at the centre of the circle is:
Answer: B
A conical vessel (solid) is made of iron. Its base radius is 7 cm and height is 15 cm. If the weight of the iron per cubic centimetre is 15 g, what is the weight of the vessel?
Answer: D
The curved surface area of a right circular cone of base radius 21 cm is 594 sq. cm. What is the slant height of the cone?
Answer: C
The side of an equilateral triangle is 36 cm. What is the radius of the circle circumscribing this equilateral triangle?
Answer: C
The number of solid spheres, each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 90cm and diameter 4 cm is:
Answer: A
The area of a sector of a circle is 88 sq. cm, and the angle of the sector is 45º. Find the radius of the circle. (Use )
Answer: B
The length of the side of a cube is 1.4 cm. What is the volume of the largest sphere that can be taken out of the cube?
Answer: A
Three circles of radius 7 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
Answer: C
What is the area of the curved surface of a right circular cone with height 8 m and slant height 10 m?
Answer: B
AB is the diameter of a circle with centre O. If P be a point on the circle such that ∠AOP = 110°, then the measure of ∠OBP is:
Answer: D
If two circles do not touch or intersect each other and one does not lie inside the other, then find the number of common tangents.
Answer: B
Find the total surface area of a cube whose volume is 343 m3.
Answer: B
A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?
Answer: A
The radius of a circle with centre at O is 6 cm and the central angle of a sector is 40°. Find the area of the sector.
Answer: C
There are two circles which touch each other externally. The radius of the first circle with centre O is 17 cm and radius of the second circle with centre A is 7 cm. BC is a direct common tangent to these two circles, where B and C are points on the circles with centres O and A, respectively. The length of BC is:
Answer: B
If the diameter of a hemisphere is 35 cm, then what is the volume of hemisphere?
Answer: A
Steel is used to make a hemispherical bowl that is 0.37 cm thick. The bowl's inner radius is 6 cm. Find the bowl's outside curved surface area (take ).
Answer: B
