**Q1. A and B together can complete a job in 8 days. Both B and C, working alone can finish the same job in 12 days, A and B commence work on the job, and work for 4 days, where upon A leaves, B continues for 2 more days, and then he leaves too, C now starts working, and finishes the job. For how many days C worked?**

(a) 5 days

(b) 8 days

(c) 3 days

(d) 4 days

(e) None of these

**Q2. A river is flowing with a steady speed of 4 km/h. One rows his boat downstream in the river and then returns by rowing upstream in the same river. When he returns to the starting point, the total distance covered by him is 42 km. If the return journey takes 2 h more than his outward journey, then the speed of his rowing in still water must be **

(a) 12 km/h

(b) 10 km/h

(c) 9 km/h

(d) 8 km/h

(e) None of these

**Q3. The difference between the compound and the simple interest on a sum for 2 years at 10% per annum, when the interest is compounded annually, is Rs. 28. If the yearly interest were compounded half-yearly, the difference in the two interests will be : **

(a) Rs. 44

(b) Rs. 28.35

(c) Rs. 43.41

(d) Rs. 41.29

(e) Rs. 38.33

**Q4. When the price of sugar was increased by 20%, a family reduced its consumption in such a way that the expenditure on sugar is only increased by 15%. If 24 kg were consumed per month before the increase in price, find the new monthly consumption.**

(a) 22 kg

(b) 23 kg

(c) 23.5 kg

(d) 22.5 kg

(e) None of these

**Q5. In two alloys, copper and zinc are present in the ratios of 4:1 and 1:3. 10 kg of 1st alloy, 16 kg of 2nd alloy and some of pure copper are melted togther. An alloy was obtained in which the ratio of copper to zinc was 3:2. Find the weight of the new alloy. **

(a) 34 kg

(b) 35 kg

(c) 36 kg

(d) 30 kg

(e) None of these

**Q6. The average age of a group of six children is 15 years. From the group, two children, whose ages were 3 years more and 5 years more than the average age, left. 4 new children, whose average age is 4 years more than the given average age, join the group. Find the new average age.**

(a) 15 years

(b) 16 years

(c) 17 years

(d) 18 years

(e) 12 years

**Q7. A person sets to cover a distance of 12 km in 45 min. If he covers 3/4 of the distance in 2/3 rd time. What should be his speed to cover the remaining distance in the remaining time?**

(a) 16 km/hr

(b) 18 km/h

(c) 12 km/h

(d) 14 km/h

(e) None of these

**Q8. Inside a square plot a circular garden is developed which exactly fits in the square plot and the diameter of the garden is equal to the side of the square plot which is 28 meter. What is the area of the space left out in the square plot after developing the garden?**

(a) 98 m^{2}

(b) 146 m^{2}

(c) 84 m^{2}

(d) 168 m^{2}

(e) None of these

**Q9. A garment company declared 17% discount for wholesale buyers. Mr Sameer , a wholeseller bought garments from the company for Rs. 1660 after getting discount. He fixed up the selling price of garments in such a way that he earned a profit of 7% on original company price. What is the selling price?**

(a) Rs. 2130

(b) Rs. 2140

(c) Rs. 2410

(d) Rs. 2310

(e) None of these

**Q10. Sharabi Chand purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3 : 4 and in the second mixture it is 5 : 6. If he mixes the two given mixtures and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4 : 5. Find the quantity of first mixture (whose ratio is 3 : 4) required to make the 18 litres of the third kind of mixture. (in liters)**

(a) 6

(b) 7

(c) 8

(d) 9

(e) None of these

**Solutions**