1. An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. How many kilograms of the ore are needed to obtain 60 kg of pure iron?
(a) 275 kg
(b) 225 kg
(c) 266.66 kg
(d) 235.25 kg
(e) None of these



2. If the selling price of a dozen apple is equal to cost price of 9 apples. Find gain or loss percent?
(a) 20 % loss
(b) 75 % gain
(c) 20 % gain
(d) 25 % gain
(e) None of these



3. Jaidev finds that an increase in the rate of interest from 4 9/8 % to 5 5/8 % per annum increases his yearly income by Rs. 25. His investment is –––
(a) Rs. 5000
(b) Rs. 10000
(c) Rs. 20000
(d) Rs. 12500
(e) None of these



4. A is twice efficient than B and 50% of C. If A takes 35 days to complete the work. If they are working together then find number of days to complete the work ?
(a) 12 days
(b) 10 days
(c) 12 2/3 days
(d) 13 days
(e) None of these



5. A boat goes 15 km upstream in 80 minutes. The speed of the stream 5 km/hr. The speed of the boat in still water is –––
(a) 17.5 km/hr.
(b) 18 km/hr.
(c) 16.25 km/hr.
(d) 8.5 km/hr.
(e) None of these



6. From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?
(a) 37/5
(b) 5/37
(c) 13/37
(d) 5/42
(e) None of these



7. The probability that a marksman will hit a target in given as 1/5. Then, his probability of at least one hit in 10 shots is ––
(a) 1 – 1/5 19
(b) 1/6 10
(c) 1 – (4/5 )10
(d) 1 – (6/5 )10
(e) None of these



8. At the centres of two circle, two arcs of equal length subtend angles of 450 and 750 respectively. The ratio of the radius of the two circles is –––
(a) 5 : 4
(b) 5 : 3
(c) 3 : 5
(d) 4 : 5
(e) None of these



9. An aluminium sphere of 210 m. radius is drawn into a cylindrical wire of length 105 km. What is the radius of the wire ? (up to two digit after decimal)
(a) 10.84 m
(b) 11.74 m
(c) 17.50 m
(d) 9.76 m
(e) None of these



10. Shiv started a business investing Rs. 40000. After one year he invested another Rs. 50000 and Rahul also joined him with a capital of Rs. 80000. If the profit earned in 2 years from the starting of business was Rs. 98700. Then, find the share of Rahul in the profit ?
(a) Rs. 35800
(b) Rs. 36616
(c) Rs. 37540
(d) Rs. 37600
(e) None of these