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 169 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 27 days soldiers Answer:_______________ |
| 2) A troop has provisions for 165 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 20 days soldiers Answer:_______________ |
| 3) A troop has provisions for 142 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 29 days soldiers Answer:_______________ |
| 4) A troop has provisions for 139 soldiers for 12 days. How many soldiers leave the troop so that the provisions may last for 30 days soldiers Answer:_______________ |
| 5) A troop has provisions for 116 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 25 days soldiers Answer:_______________ |
| 6) A troop has provisions for 188 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 24 days soldiers Answer:_______________ |
| 7) A troop has provisions for 130 soldiers for 12 days. How many soldiers leave the troop so that the provisions may last for 26 days soldiers Answer:_______________ |
| 8) A troop has provisions for 116 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 144 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 28 days soldiers Answer:_______________ |
| 10) A troop has provisions for 134 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 25 days soldiers Answer:_______________ |
| 1) A troop has provisions for 169 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 27 days Answer: 88 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 14 x 169 = 27 x a (14 x169)/ 27 = a = a 88 soldiers = a |
| 2) A troop has provisions for 165 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 20 days Answer: 116 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 14 x 165 = 20 x a (14 x165)/ 20 = a = a 116 soldiers = a |
| 3) A troop has provisions for 142 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 29 days Answer: 54 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 11 x 142 = 29 x a (11 x142)/ 29 = a = a 54 soldiers = a |
| 4) A troop has provisions for 139 soldiers for 12 days. How many soldiers leave the troop so that the provisions may last for 30 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 12 x 139 = 30 x a (12 x139)/ 30 = a = a 56 soldiers = a |
| 5) A troop has provisions for 116 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 25 days Answer: 51 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 11 x 116 = 25 x a (11 x116)/ 25 = a = a 51 soldiers = a |
| 6) A troop has provisions for 188 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 24 days Answer: 102 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 13 x 188 = 24 x a (13 x188)/ 24 = a = a 102 soldiers = a |
| 7) A troop has provisions for 130 soldiers for 12 days. How many soldiers leave the troop so that the provisions may last for 26 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 12 x 130 = 26 x a (12 x130)/ 26 = a = a 60 soldiers = a |
| 8) A troop has provisions for 116 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 25 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 10 x 116 = 25 x a (10 x116)/ 25 = a = a 46 soldiers = a |
| 9) A troop has provisions for 144 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 28 days Answer: 57 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 11 x 144 = 28 x a (11 x144)/ 28 = a = a 57 soldiers = a |
| 10) A troop has provisions for 134 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 25 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 14 x 134 = 25 x a (14 x134)/ 25 = a = a 75 soldiers = a |