1. A train passes a man standing on a platform in 8 s and also crosses the platform which is 264 m long in 20 s. The length of the train (in m) is
(a) 188 (b) 176 (c) 175 (d) 96
2. Three solid metallic balls of radii 3 cm, 4 cm and 5 cm are melted and moulded into a single solid ball. The radius of the new ball is
(a) 2 cm (b) 3 cm (c) 4 cm (d) 6 cm
3. The ratio of present ages of two brothers is 1 : 2 and 5 yr back the ratio was 1 : 3. What will be the ratio of their ages after 5 yr?
(a) 1 : 4 (b) 2 : 5 (c) 3 : 5 (d) 5 : 6
4. A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to Rs. 1104?
(a) 8% (b) 10% (c) 15% (d) 12%
5. The average of marks obtained by 120 candidates in a certain examination is 35. If the average marks obtained by passed candidates are 39 and those of the failed candidates are 15, what is the number of candidates who passed the examination?
(a) 100 (b) 120 (c) 150 (d) 140
6. If cost price is Rs. 80, over-head is Rs. 20 and selling price is Rs. 120, then the profit per cent is
(a) 20% (b) 50% (c) 40% (d) 30%
7. The volume of a cuboid is twice the volume of a cube. If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is
(a) 72cm2 (b) 216cm2 (c) 432cm2 (d) 108cm2
8. A train running at the speed of 60 km/h crosses a 200 m long platform in just 27 s. Find out the length of the train?
(a) 50m (b) 150m (c) 250m (d) 350m
9. Find the length of the longest rod that can be placed in a hall of 10 m length, 6 m breadth and 4 m height,
(a) 2 38 m (b) 4 38 m (c) 2 19 m (d) 19m
10. If a wire is bent into the shape of a square, the area of the square is 81 sq cm. When the wire is bent into a semi-circular shape, the area of the semi-circle (taking p = 22 7 ) is
(a) 154 cm2 (b) 77 cm2 (c) 44 cm2 (d) 22 cm2
11. The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm and the breadth is less by 3 cm. Find the perimeter of the rectangle
(a) 17 cm (b) 26cm (c) 30 cm (d) 34 cm
12. The diagonals of a rhombus are 24 cm and 10 cm. The perimeter of the rhombus (in cm) is
(a) 68 (b) 65 (c) 54 (d) 52