446 questions asked across 4 exam years, newest first
A triangle ABC is made on a circle, where AB is diameter of the circle. If BC is equal to the radius of the circle and ∠ABC = x ∠BAC, then x is:
Answer: C
Find the area of a rectangle whose length is 52m and breadth is 9m.
Answer: A
The length of the tangent drawn from a point 10 cm away from the centre of a circle with radius 4 cm, is:
Answer: A
AB is a chord of length 32 cm of a circle of radius 20 cm, the tangents at A and B intersect at a point T. Find length TA (rounded off to two digits after decimal).
Answer: C
R is a point outside a circle and is 18 cm away from its centre. A secant drawn from the point R intersects the circle at points A and B in such a way that RA = 7 cm and AB = 5 cm. The radius of the circle (in cm) is:
Answer: D
The area of a parallelogram with base 26 cm and height 18 cm is:
Answer: A
A quadrilateral PQRS is inscribed in a circle of centre O, such that PQ is a diameter and . Find the value of .
Answer: D
The base radius of a circular cylinder is 10.5 cm. If the area of its curved surface is 792 cm2, then what is the volume of the cylinder?
Answer: B
PQ and RS are common tangents to two circles intersecting at A and B. A and B, when produced on both the sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm and XY = 5 cm, then PQ is ________.
Answer: B
From a point A, a tangent line is drawn to the circle of radius 7 units. From the same point, a secant is drawn to the circle which cuts the circle at B and C and the point B is near A than C. What is the length of BC in units if the length of the tangent to the circle from point A is 21 units and the length of AB is 14 units?
Answer: D
If the area of a sector of a circle is 462 cm² and the central angle is 120°, then its radius is ____.
Answer: D
The total surface area of a closed cube is given as 1152 cm². What is the length (in cm) of each side of the cube?
Answer: D
In a rectangular field, the sum of the length and the breadth is 9 cm and the area is 18 cm². If the length is ‘a’ and breadth is ‘b’, then find the value of .
Answer: D
A circular arc whose radius is 24 cm makes an angle of 60° at the centre. The perimeter of the sector formed is: (Use π = 3.14)
Answer: C
If three cubes of volume 512 cm³ each are joined end to end, find the surface area of the resulting cuboid.
Answer: D
The perimeter of a rectangular garden is 48 m. If the length is 6 m more than the breadth, the area (in m²) of the garden is:
Answer: A
In a circle with centre O, AOC is the diameter. B is a point on the circumference of the circle such that arc AB is of the arc BC. What is the degree measure of ?
Answer: D
Find the area (in cm2) of an equilateral triangle whose sides are 18 cm.
Answer: D
The radius of the base of a right circular cone is 9 cm and its slant height is 49 cm. Find the curved surface area of the cone.
Answer: C
On a circle of radius 7 units, PQ and QR are chords of length 7 units each. What is the length of the chord PR in units?
Answer: C
What is the volume of a cone (in cubic units) with radius 3 units and slant height units?
Answer: B
Two equal circles pass through each other’s centre. If the radius of each of the circles is 13 cm, then what is the length of the common chord?
Answer: A
Find the area (in cm²) of the sector, where the radius of the circle is 24 cm and length of the arc is 7 cm.
Answer: B
What is the difference in area (in cm²) of △ABC having sides of 10 cm, 20 cm, and 20 cm, and a right-angled triangle △PQR with hypotenuse of 13 cm and one of the perpendiculars of 12 cm? Note: √2 = 1.41, √3 = 1.73, √7 = 2.65, √13 = 3.61, √15 = 3.87, √21 = 4.58
Answer: A
Find the measure of the central angle of a sector if its area is 16π and the radius is 8.
Answer: A
