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 104 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 20 days soldiers Answer:_______________ |
| 2) A troop has provisions for 176 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 22 days soldiers Answer:_______________ |
| 3) A troop has provisions for 178 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 28 days soldiers Answer:_______________ |
| 4) A troop has provisions for 141 soldiers for 12 days. How many soldiers leave the troop so that the provisions may last for 21 days soldiers Answer:_______________ |
| 5) A troop has provisions for 152 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 21 days soldiers Answer:_______________ |
| 6) A troop has provisions for 155 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 20 days soldiers Answer:_______________ |
| 7) A troop has provisions for 179 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 21 days soldiers Answer:_______________ |
| 8) A troop has provisions for 168 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 23 days soldiers Answer:_______________ |
| 9) A troop has provisions for 181 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 29 days soldiers Answer:_______________ |
| 10) A troop has provisions for 117 soldiers for 12 days. How many soldiers leave the troop so that the provisions may last for 21 days soldiers Answer:_______________ |
| 1) A troop has provisions for 104 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 20 days Answer: 73 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 14 x 104 = 20 x a (14 x104)/ 20 = a = a 73 soldiers = a |
| 2) A troop has provisions for 176 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 22 days Answer: 120 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 15 x 176 = 22 x a (15 x176)/ 22 = a = a 120 soldiers = a |
| 3) A troop has provisions for 178 soldiers for 11 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 11 x 178 = 28 x a (11 x178)/ 28 = a = a 70 soldiers = a |
| 4) A troop has provisions for 141 soldiers for 12 days. How many soldiers leave the troop so that the provisions may last for 21 days Answer: 81 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 12 x 141 = 21 x a (12 x141)/ 21 = a = a 81 soldiers = a |
| 5) A troop has provisions for 152 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 21 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 152 = 21 x a (15 x152)/ 21 = a = a 109 soldiers = a |
| 6) A troop has provisions for 155 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 20 days Answer: 78 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 10 x 155 = 20 x a (10 x155)/ 20 = a = a 78 soldiers = a |
| 7) A troop has provisions for 179 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 21 days Answer: 128 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 15 x 179 = 21 x a (15 x179)/ 21 = a = a 128 soldiers = a |
| 8) A troop has provisions for 168 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 23 days Answer: 110 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 15 x 168 = 23 x a (15 x168)/ 23 = a = a 110 soldiers = a |
| 9) A troop has provisions for 181 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 29 days Answer: 81 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 13 x 181 = 29 x a (13 x181)/ 29 = a = a 81 soldiers = a |
| 10) A troop has provisions for 117 soldiers for 12 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 12 x 117 = 21 x a (12 x117)/ 21 = a = a 67 soldiers = a |