446 questions asked across 4 exam years, newest first
The volume of the hemisphere is 19,404 cm 3. The radius of the hemisphere is _______.
Answer: C
If ∆ABC ~ ∆DEF, and BC = 4 cm, EF = 5 cm and the area of triangle ABC = 80 cm 2, then the area of the triangle DEF is:
Answer: D
Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is 6√3 cm.
Answer: B
Three circles of radius 4 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
Answer: A
If the volume of a sphere is 24,416.64 cm3, find its surface area (take π = 3.14) correct to two places of decimal.
Answer: B
If the diameter of a sphere is 3.5 cm, then what is the total surface area of the sphere?
Answer: C
The area of a sector of a circle is 66 cm2 and the angle of the sector is 60°. Find the radius of the circle.
Answer: D
Select the correct option with respect to the given statement. Two tangents are drawn at the end of the diameter of a circle.
Answer: C
Three circles of radius 6 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
Answer: A
The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 2.1 cm, then what is the volume of cylinder?
Answer: D
A solid copper sphere of radius 9 cm is hammered and moulded into a wire of radius 2 cm. What is the length of this wire?
Answer: D
Let O be the center of a circle and P be a point outside the circle. If PAB is a secant of the circle which cuts the circle at A and B and PT is the tangent drawn from P, then find the length of PT. PA = 3 cm and AB = 9 cm.
Answer: C
Suppose ΔABC be a right angled triangle where ∠A = 90° and AD ⊥ BC. If area (ΔABC) = 80 cm2 and BC = 16 cm, then the length of AD is :
Answer: A
If the length of the diagonal of a cube is cm, then the surface area of the cube is ______.
Answer: D
Two identical circles each of radius 30 cm intersect each other such that the circumference of each one passes through the centre of the other. What is the area of the intersecting region?
Answer: D
The area of a sector of a circle is 308 cm 2, with the central angle measuring 45°. The radius of the circle is:
Answer: D
In the given figure, a circle is inscribed in Δ PQR, such that it touches the sides PQ, QR and RP at points D, E, F, respectively. If the lengths of the sides PQ = 15 cm, QR = 11 cm and RP = 13 cm, then find the length of PD.
Answer: D
Which of the following two will provide more volume? I) A cuboid of edges 6 cm, 7 cm and 8 cm II) A cube of edge 7 cm
Answer: A
If the diameter of a sphere is 63 cm, then what is the total surface area of the sphere?
Answer: C
If the side of an equilateral triangle is 24 cm, then what is its area?
Answer: D
If the diameter of a hemisphere is 28 cm, then what is the volume of hemisphere?
Answer: A
The surface area of a cube is 864 cm2. The volume of the cube is ______.
Answer: A
The length of the tangent to a circle from a point P is 15 cm. Point P is 17 cm away from the centre. What is the radius of the circle?
Answer: C
Side of an equilateral triangle is 24 cm. What will be the radius of in circle of this equilateral triangle?
Answer: C
The radius of a right circular cylinder is five times of its height. If the height of the cylinder is 3.5 cm, then what is the volume of cylinder?
Answer: A
