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 180 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 21 days soldiers Answer:_______________ |
| 2) A troop has provisions for 169 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 24 days soldiers Answer:_______________ |
| 3) A troop has provisions for 167 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 23 days soldiers Answer:_______________ |
| 4) A troop has provisions for 172 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 30 days soldiers Answer:_______________ |
| 5) A troop has provisions for 143 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 28 days soldiers Answer:_______________ |
| 6) A troop has provisions for 134 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 28 days soldiers Answer:_______________ |
| 7) A troop has provisions for 124 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 29 days soldiers Answer:_______________ |
| 8) A troop has provisions for 102 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 21 days soldiers Answer:_______________ |
| 9) A troop has provisions for 156 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 28 days soldiers Answer:_______________ |
| 10) A troop has provisions for 189 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 25 days soldiers Answer:_______________ |
| 1) A troop has provisions for 180 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 21 days Answer: 94 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 11 x 180 = 21 x a (11 x180)/ 21 = a = a 94 soldiers = a |
| 2) A troop has provisions for 169 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 24 days Answer: 106 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 15 x 169 = 24 x a (15 x169)/ 24 = a = a 106 soldiers = a |
| 3) A troop has provisions for 167 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 23 days Answer: 109 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 15 x 167 = 23 x a (15 x167)/ 23 = a = a 109 soldiers = a |
| 4) A troop has provisions for 172 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 30 days Answer: 75 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 13 x 172 = 30 x a (13 x172)/ 30 = a = a 75 soldiers = a |
| 5) A troop has provisions for 143 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 28 days Answer: 72 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 14 x 143 = 28 x a (14 x143)/ 28 = a = a 72 soldiers = a |
| 6) A troop has provisions for 134 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 28 days Answer: 48 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 10 x 134 = 28 x a (10 x134)/ 28 = a = a 48 soldiers = a |
| 7) A troop has provisions for 124 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 29 days Answer: 56 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 13 x 124 = 29 x a (13 x124)/ 29 = a = a 56 soldiers = a |
| 8) A troop has provisions for 102 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 21 days Answer: 53 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 11 x 102 = 21 x a (11 x102)/ 21 = a = a 53 soldiers = a |
| 9) A troop has provisions for 156 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 28 days Answer: 56 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 10 x 156 = 28 x a (10 x156)/ 28 = a = a 56 soldiers = a |
| 10) A troop has provisions for 189 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 25 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 11 x 189 = 25 x a (11 x189)/ 25 = a = a 83 soldiers = a |