Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If 2755 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 4798 sq.m. of land in 13 days. workers Answer:_______________ |
| 2) If 2081 sq.m. of land can be tilled by 18 workers in 9 days , how many workers are neede to till 5972 sq.m. of land in 14 days. workers Answer:_______________ |
| 3) If 2708 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 4723 sq.m. of land in 12 days. workers Answer:_______________ |
| 4) If 2763 sq.m. of land can be tilled by 16 workers in 5 days , how many workers are neede to till 5727 sq.m. of land in 12 days. workers Answer:_______________ |
| 5) If 2004 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 4140 sq.m. of land in 14 days. workers Answer:_______________ |
| 6) If 2459 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 4193 sq.m. of land in 15 days. workers Answer:_______________ |
| 7) If 2248 sq.m. of land can be tilled by 17 workers in 9 days , how many workers are neede to till 5192 sq.m. of land in 15 days. workers Answer:_______________ |
| 8) If 2539 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 5405 sq.m. of land in 14 days. workers Answer:_______________ |
| 9) If 2881 sq.m. of land can be tilled by 16 workers in 9 days , how many workers are neede to till 5176 sq.m. of land in 15 days. workers Answer:_______________ |
| 10) If 2443 sq.m. of land can be tilled by 16 workers in 7 days , how many workers are neede to till 4992 sq.m. of land in 12 days. workers Answer:_______________ |
| 1) If 2755 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 4798 sq.m. of land in 13 days. Answer: 19 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2755 to 4798.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.7415607985481 x 0.53846153846154 x 20 = 19 workers |
| 2) If 2081 sq.m. of land can be tilled by 18 workers in 9 days , how many workers are neede to till 5972 sq.m. of land in 14 days. Answer: 33 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2081 to 5972.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.8697741470447 x 0.64285714285714 x 18 = 33 workers |
| 3) If 2708 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 4723 sq.m. of land in 12 days. Answer: 18 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2708 to 4723.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.7440915805022 x 0.58333333333333 x 18 = 18 workers |
| 4) If 2763 sq.m. of land can be tilled by 16 workers in 5 days , how many workers are neede to till 5727 sq.m. of land in 12 days. Answer: 14 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2763 to 5727.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 2.0727470141151 x 0.41666666666667 x 16 = 14 workers |
| 5) If 2004 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 4140 sq.m. of land in 14 days. Answer: 13 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2004 to 4140.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 2.0658682634731 x 0.35714285714286 x 17 = 13 workers |
| 6) If 2459 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 4193 sq.m. of land in 15 days. Answer: 14 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2459 to 4193.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.705164701098 x 0.4 x 20 = 14 workers |
| 7) If 2248 sq.m. of land can be tilled by 17 workers in 9 days , how many workers are neede to till 5192 sq.m. of land in 15 days. Answer: 24 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2248 to 5192.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 2.3096085409253 x 0.6 x 17 = 24 workers |
| 8) If 2539 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 5405 sq.m. of land in 14 days. Answer: 19 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2539 to 5405.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 2.1287908625443 x 0.57142857142857 x 16 = 19 workers |
| 9) If 2881 sq.m. of land can be tilled by 16 workers in 9 days , how many workers are neede to till 5176 sq.m. of land in 15 days. Answer: 17 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2881 to 5176.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 1.7965984033322 x 0.6 x 16 = 17 workers |
| 10) If 2443 sq.m. of land can be tilled by 16 workers in 7 days , how many workers are neede to till 4992 sq.m. of land in 12 days. Answer: 19 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2443 to 4992.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 2.043389275481 x 0.58333333333333 x 16 = 19 workers |