1. A cube is circumscribed by a cylinder of base area 154 cm^2. The volume of cube will be
(a) 343√2
(b) 686√2
(c) 343
(d) 686
2. Perimeter of a circle is equal to that of a square. Ratio of their area is
(a) 14 : 11
(b) 13 : 10
(c) 11 : 14
(d) 10 : 13
3. A room of 15m × 13m × 12m is to be painted inside, outside and on the ceiling, then the cost of painting will be (cost for 9 m^2 painting is Rs. 87).
(a) Rs. 14877
(b) Rs. 18477
(c) Rs. 17874
(d) None of these
4. A sphere of radius 3 cm and cone of same radius and height 27 cm are melted to make a cylinder of the same radius, the height of cylinder is
(a) 24 cm
(b) 23 cm
(c) 13 cm
(d) 19 cm
5. If the diagonals of a rhombus are 12 cm and 16 cm. Then, the area of square having its side equal to side of rhombus is
(a) 80 cm^2
(b) 90 cm^2
(c) 95 cm^2
(d) 100 cm^2
6. What is the area of square inscribed in a circle of radius a?
(a) a^2
(b) a^2/√3
(c) (2a^2)/√3
(d) 2a^2
(a) 343√2
(b) 686√2
(c) 343
(d) 686
2. Perimeter of a circle is equal to that of a square. Ratio of their area is
(a) 14 : 11
(b) 13 : 10
(c) 11 : 14
(d) 10 : 13
3. A room of 15m × 13m × 12m is to be painted inside, outside and on the ceiling, then the cost of painting will be (cost for 9 m^2 painting is Rs. 87).
(a) Rs. 14877
(b) Rs. 18477
(c) Rs. 17874
(d) None of these
4. A sphere of radius 3 cm and cone of same radius and height 27 cm are melted to make a cylinder of the same radius, the height of cylinder is
(a) 24 cm
(b) 23 cm
(c) 13 cm
(d) 19 cm
5. If the diagonals of a rhombus are 12 cm and 16 cm. Then, the area of square having its side equal to side of rhombus is
(a) 80 cm^2
(b) 90 cm^2
(c) 95 cm^2
(d) 100 cm^2
6. What is the area of square inscribed in a circle of radius a?
(a) a^2
(b) a^2/√3
(c) (2a^2)/√3
(d) 2a^2
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