Q1 · easy · PYQ 2024
A cube whose edge is 14 cm long has on each of its faces a circle of 7 cm radius painted yellow. What is the total area of unpainted surface? (Take π = 22/7)
- 126 square cm
- 189 square cm
- 252 square cm
- 315 square cm
Q2 · medium · PYQ 2023
A lamp shade is in the shape of a part of a cone and its top and bottom ends are circles whose circumferences are respectively 30 cm and 40 cm. The perpendicular distance between the ends is 6 cm. If the cone were to be completed, then how far would its vertex be from the top end?
- 20 cm
- 12 cm
- 9 cm
- 18 cm
Q3 · medium · PYQ 2022
A farmland is in the shape of a rhombus. The perimeter of the land is 100 m and the length of one of the diagonals is 40 m. The land is divided into four equal parts. What is the area of each part?
- 225 square metre
- 150 square metre
- 300 square metre
- 450 square metre
Q4 · medium · PYQ 2022
A bicycle wheel of radius 35 cm makes n revolutions in moving 11 km. What is the value of n? (Take π = 22/7)
- 1000
- 2500
- 500
- 5000
Q5 · medium · PYQ 2022
A rectangular sheet is of length x and breadth y. If p is the volume of the cylinder formed by rolling the sheet along its breadth and q is the volume of the cylinder formed by rolling the sheet along its length, and q = 2p, then which one of the following is correct?
- x = 2y
- 2x = 3y
- x = y
- 3x = 4y