446 questions asked across 4 exam years, newest first
The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are (8 m × 8 m ×16 m), the total surface area of the cube is:
Answer: D
In the given figure, a circle is inscribed in ΔPQR, such that it touches the sides PQ, QR and RP at points D, E, F, respectively. If the lengths of the sides PQ = 18 cm. QR = 13 cm and RP = 15 cm, then find the length of PD.
Answer: A
The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, then find its semi perimeter (in centimetres).
Answer: D
Two chords AB and CD of a circle meet inside the circle at point P. If AP = 12 cm, AB = 20 cm and CP = 16 cm, then CD = ?
Answer: A
Three solid metallic spheres of radii 1 cm, 6 cm and 8 cm, respectively, are melted and recast into a single solid sphere. The radius of the new sphere so formed is:
Answer: A
The area of the sector of a circle of radius 28 cm is 112 cm2. Find the length of the corresponding arc of the sector.
Answer: B
If the volume of one brick is 0.0014 m3, then how many bricks will be required to construct a wall of length 14 m, breadth 0.125 m and height 5 m?
Answer: C
In the given figure, PQ is a chord passing through the centre 'O' of the circle. Calculate ∠PQS.
Answer: C
An arc on a circle, whose length is 19.25 cm, subtends an 18° angle at the centre. What is the area of the circle? [Usе π = ]
Answer: D
If the inner radius of a hemispherical bowl is 5 cm and its thickness is 0.25 cm, then find the volume of the material required in making the bowl. (use π = ) (Rounded up to two places of decimals).
Answer: D
C1 and C2 are two concentric circles such that the radius of C2 is less than the radius of C1. If AB is the chord of C1 of length 12 cm, touching C2 at P, find the length of AP.
Answer: D
In the given figure, the length of arc AB is equal to 3 times radius r of the circle. Find the area of sector OAB in terms of radius r.
Answer: A
PT is a tangent to a circle whose centre is O, and where T is a point on the circle. If PT = 12 cm and PO = 13 cm, then find the radius of the circle.
Answer: D
A solid cone with curved surface area twice its base area has slant height of 6√3 cm. Its height is:
Answer: B
Find the total surface area (in cm2) of a cuboid having dimensions 5 cm, 7 cm and 11 cm.
Answer: B
In a circle with centre O, PA and PB are the tangents at A and B, respectively, from an external point P. If ∠APB = 24°, then find ∠AOB.
Answer: C
The slant height of a cone is 10 cm, and the radius is 6 cm. What is the total surface area of the cone? Take π = 3.14
Answer: D
A 15 cm long perpendicular is drawn from the centre of a circle to a 40 cm long chord. Find the diameter of the circle.
Answer: C
In a ΔABC, DE ∥ BC, where D is a point on AB and E is a point on AC. If DE divides the area of ΔABC into two equal parts, then DB ∶ AB is equal to :
Answer: D
The width of a rectangle is 2 m less than its length. If the perimeter of the rectangle is 68 m, then what is the length (in metres) of the rectangle?
Answer: B
Two chords of a circle, AB and CD, meet outside the circle at the point P. If AP = 200 mm, AB = 120 mm, and CP = 160 mm, what is the length of CD?
Answer: C
Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of 108°. [Use π = 22/7]
Answer: A
A conical tent has a radius of 7 m and a vertical height of 24 m. How many full bags of rice can be emptied in it if the space occupied by the rice in each bag is 2 m3?
Answer: B
Two circles touch each other externally at P. AB is a direct common tangent to the two circles. If A and B are points of contact and ∠PAB = 65°, then ∠ABP is _________.
Answer: D
The lateral area of a cylinder is 3168 cm² and its height is 48 cm. Find the volume.
Answer: D
