1. 'A' can do a piece of work in 72 days and 'B' can do the same work in 45 days. They work together for 8 days and then 'A' left the job. In how many days 'B' will finish the remaining work ?

1) 24 days 2) 28 days 3) 30 days 4) 32 days 5) 36 days

2. A man purchased two cycles for `10000, He sold the first cycle at 18% profit and second cycle at 10% loss. In the whole process he gained `36. What is the cost price of two cycles ?

1) `3900, `6100 2) `3800, `6200 3) `3700, `6300 4) `3600, `6400 5) None of these

3. Population of a city is 8 lakh. If the annual birth rate and death rates of the city are 6.3% and 1.8% respectively then what will be the population of city after two years ?

1) 873620 2) 864860 3) 858640 4) 886410 5) 897580

4. Two men and 5 women earn `4250 in 17 days. If 7 men and 8 women earn `6281 in 11 days then in how many days 6 men and 9 women will earn `8928 ?

1) 12 days 2) 14 days 3) 16 days 4) 18 days 5) None of these

5. A train covered a certain distance at uniform speed. If the train would have been 12 km/hr. faster, it would have taken 15 hrs. less and if the train were slower by 12 km/hr. it would have taken 25 hours more. What is the length of the journey?

1) 2400 km. 2) 2700 km. 3) 3000 km. 4) 3200 km. 5) 3600 km

6. A cow is tied by a 24.5 metre long rope in a corner of a rectangular field whose dimension is 42m.×38m. On how much area can the cow graze ?

1) 471.625 m^{2}

2) 943.25 m^{2}

3) 1596 m^{2}

4) 1124.375 m^{2}

5) None of these

7. The length and breadth of a rectangular field are in the ratio of 3 : 2. A path 3 m. wide running all around outside the field has an area of 456 m^{2 }. What is the area of field?

1) 986 m^{2}

2) 1024 m^{2}

3) 1176m^{2}

4) 1214 m^{2}

5) 1256m^{2}

8. A rectangular park is 96 m. long and 78 m. wide. There are two paths, each 4 m wide, in the middle of the park running one parallel to length and another parallel to width of the park. What will be the expenditure of constructing the path at rate of `2.75 per square metre.

1) ` 1740 2) `1870 3) `1920 4) `1980 5) `2040

9. A rectangular water tank contains 78400 litres of water. What is the depth of the water in the tank if its base measures 7 m. by 2.8 m?

1) 2 m 2) 2.5 m 3) 3 m 4) 3.5 m 5) 4 m

10. The cost of papering the walls of a room at 0.85 paisa per square metre is `510. The height of the room is 6 m. What is the length and breadth of the room if they are in the ratio of 7 : 3.

1) 28 m, 12 m 2) 35 m, 15 m 3) 42 m, 18 m 4) 49 m, 21 m 5) None of these

Answers :-

3.1; Net rate of increase in population = 6.3 – 1.8 = 4.5%

Req. population = 800000 × 1.045×1.045 = 8736.20

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