446 questions asked across 4 exam years, newest first
ΔABC ~ Δ DEF and the perimeters of these triangles are 32 cm and 12 cm, respectively. If DE = 6 cm, then what will be the length of AB?
Answer: A
The circumference of the two circles is 110 cm and 330 cm respectively. What is the difference between their radii?
Answer: D
If the numerical value of twice the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then what is the numerical value of the radius of the base of the cylinder?
Answer: D
The hour hand moves through 4 hours and has a length of 6 cm. Find the area (in cm2, rounded off to two decimal places) of the sector covered by the hour hand.
Answer: C
A triangle and a parallelogram have the same base 28 cm and the same area. If the height of the parallelogram is 12 cm, then find the length of the altitude of the triangle.
Answer: C
Select the INCORRECT statement with respect to the properties of a circle.
Answer: D
A horse is grazing in a field. It is tied to a pole with a rope of length 6 m. The horse moves from point A to point B making an arch with an angle of 70°. Find the area of the sector grazed by the horse.
Answer: A
ΔABC and ΔDEF are similar triangles and their areas are 49 cm2 and 144 cm2 respectively. If EF = 16.80 cm, then find BC.
Answer: B
The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?
Answer: D
If the diameter of a solid hemisphere is 12.6 cm, then its volume is (take ):
Answer: C
Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at midpoint of a side of the triangle.
Answer: A
The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m.
Answer: A
The radius of a right circular cylinder is four times of its height. If the height of the cylinder is 14 cm, then what is the volume of cylinder?
Answer: C
The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (use )
Answer: B
If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:
Answer: A
If the side of an equilateral triangle is 16 cm, then what is its area?
Answer: D
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
