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) A troop has provisions for 153 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 28 days soldiers Answer:_______________ |
| 2) A troop has provisions for 122 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 22 days soldiers Answer:_______________ |
| 3) A troop has provisions for 125 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 27 days soldiers Answer:_______________ |
| 4) A troop has provisions for 172 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 29 days soldiers Answer:_______________ |
| 5) A troop has provisions for 120 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 29 days soldiers Answer:_______________ |
| 6) A troop has provisions for 127 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 21 days soldiers Answer:_______________ |
| 7) A troop has provisions for 107 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 23 days soldiers Answer:_______________ |
| 8) A troop has provisions for 145 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 25 days soldiers Answer:_______________ |
| 9) A troop has provisions for 140 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 28 days soldiers Answer:_______________ |
| 10) A troop has provisions for 147 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 20 days soldiers Answer:_______________ |
| 1) A troop has provisions for 153 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 28 days Answer: 82 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 15 x 153 = 28 x a (15 x153)/ 28 = a = a 82 soldiers = a |
| 2) A troop has provisions for 122 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 22 days Answer: 55 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 10 x 122 = 22 x a (10 x122)/ 22 = a = a 55 soldiers = a |
| 3) A troop has provisions for 125 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 27 days Answer: 60 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 13 x 125 = 27 x a (13 x125)/ 27 = a = a 60 soldiers = a |
| 4) A troop has provisions for 172 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 29 days Answer: 83 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 14 x 172 = 29 x a (14 x172)/ 29 = a = a 83 soldiers = a |
| 5) A troop has provisions for 120 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 29 days Answer: 46 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 11 x 120 = 29 x a (11 x120)/ 29 = a = a 46 soldiers = a |
| 6) A troop has provisions for 127 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 21 days Answer: 67 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 11 x 127 = 21 x a (11 x127)/ 21 = a = a 67 soldiers = a |
| 7) A troop has provisions for 107 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 23 days Answer: 65 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 14 x 107 = 23 x a (14 x107)/ 23 = a = a 65 soldiers = a |
| 8) A troop has provisions for 145 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 25 days Answer: 58 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 10 x 145 = 25 x a (10 x145)/ 25 = a = a 58 soldiers = a |
| 9) A troop has provisions for 140 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 28 days Answer: 70 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 14 x 140 = 28 x a (14 x140)/ 28 = a = a 70 soldiers = a |
| 10) A troop has provisions for 147 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 20 days Answer: 74 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 10 x 147 = 20 x a (10 x147)/ 20 = a = a 74 soldiers = a |