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 2816 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 4867 sq.m. of land in 14 days. workers Answer:_______________ |
| 2) If 2654 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 5511 sq.m. of land in 14 days. workers Answer:_______________ |
| 3) If 2574 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 4101 sq.m. of land in 15 days. workers Answer:_______________ |
| 4) If 2644 sq.m. of land can be tilled by 18 workers in 5 days , how many workers are neede to till 4581 sq.m. of land in 12 days. workers Answer:_______________ |
| 5) If 2316 sq.m. of land can be tilled by 16 workers in 9 days , how many workers are neede to till 4581 sq.m. of land in 15 days. workers Answer:_______________ |
| 6) If 2387 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 5368 sq.m. of land in 12 days. workers Answer:_______________ |
| 7) If 2098 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 4493 sq.m. of land in 14 days. workers Answer:_______________ |
| 8) If 2130 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4906 sq.m. of land in 12 days. workers Answer:_______________ |
| 9) If 2819 sq.m. of land can be tilled by 16 workers in 9 days , how many workers are neede to till 5062 sq.m. of land in 14 days. workers Answer:_______________ |
| 10) If 2428 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 5450 sq.m. of land in 15 days. workers Answer:_______________ |
| 1) If 2816 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 4867 sq.m. of land in 14 days. Answer: 10 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2816 to 4867.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 = 1.72833806818 x 0.357142857143 x 17 = 10 workers |
| 2) If 2654 sq.m. of land can be tilled by 17 workers in 5 days , how many workers are neede to till 5511 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 2654 to 5511.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 = 2.07648831952 x 0.357142857143 x 17 = 13 workers |
| 3) If 2574 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 4101 sq.m. of land in 15 days. Answer: 11 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2574 to 4101.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 17 = 1.59324009324 x 0.4 x 17 = 11 workers |
| 4) If 2644 sq.m. of land can be tilled by 18 workers in 5 days , how many workers are neede to till 4581 sq.m. of land in 12 days. Answer: 13 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2644 to 4581.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 18 = 1.732602118 x 0.416666666667 x 18 = 13 workers |
| 5) If 2316 sq.m. of land can be tilled by 16 workers in 9 days , how many workers are neede to till 4581 sq.m. of land in 15 days. Answer: 19 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2316 to 4581.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 = 1.97797927461 x 0.6 x 16 = 19 workers |
| 6) If 2387 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 5368 sq.m. of land in 12 days. Answer: 24 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2387 to 5368.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 = 2.24884792627 x 0.583333333333 x 18 = 24 workers |
| 7) If 2098 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 4493 sq.m. of land in 14 days. Answer: 28 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2098 to 4493.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 10 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.14156339371 x 0.714285714286 x 18 = 28 workers |
| 8) If 2130 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4906 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 2130 to 4906.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 20 = 2.30328638498 x 0.416666666667 x 20 = 19 workers |
| 9) If 2819 sq.m. of land can be tilled by 16 workers in 9 days , how many workers are neede to till 5062 sq.m. of land in 14 days. Answer: 18 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2819 to 5062.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 16 = 1.79567222419 x 0.642857142857 x 16 = 18 workers |
| 10) If 2428 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 5450 sq.m. of land in 15 days. Answer: 19 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2428 to 5450.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 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.24464579901 x 0.466666666667 x 18 = 19 workers |