1. A and B are two alloys of diamond and silver, prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of diamond and silver in C will be (1)
(1) 7 : 5
(2) 5 : 7
(3) 5 : 9
(4) 9 : 5
(5) None of these
2. A wire in the form of a circle of radius 84 cm is cut and bent to form a square. What would be the side of the square? (3)
(1) 88 cm
(2) 44 cm
(3) 132 cm
(4) 136 cm
(5) None of these
3. In an examination, 35% of the examinees were failed in General Knowledge and 25% in the compulsory paper. If 10% of the examinees failed in both General Knowledge and the compulsory paper, the percentage of examinees passes was (4)
(1) 40%
(2) 45%
(3) 48%
(4) 50%
(5) None of these
4. The smallest natural number which when added to the difference of square of 17 and 13, gives a perfect square, is (1)
(1) 1
(2) 11
(3) 5
(4) 15
(5) None of these
5. The speed of a boat in still water is 7.5 km/h. If the speed of steam is 2.5 km/h, then time taken to go a distance of 15 km and come back to starting point, is (2)
(1) 4 h
(2) 4.5 h
(3) 5 h
(4) 5.5 h
(5) 6 h