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 157 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 25 days soldiers Answer:_______________ |
| 2) A troop has provisions for 178 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 21 days soldiers Answer:_______________ |
| 3) A troop has provisions for 173 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 23 days soldiers Answer:_______________ |
| 4) A troop has provisions for 194 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 29 days soldiers Answer:_______________ |
| 5) A troop has provisions for 194 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 26 days soldiers Answer:_______________ |
| 6) A troop has provisions for 147 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 28 days soldiers Answer:_______________ |
| 7) A troop has provisions for 103 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 20 days soldiers Answer:_______________ |
| 8) A troop has provisions for 116 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 27 days soldiers Answer:_______________ |
| 9) A troop has provisions for 148 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 27 days soldiers Answer:_______________ |
| 10) A troop has provisions for 141 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 20 days soldiers Answer:_______________ |
| 1) A troop has provisions for 157 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 25 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 13 x 157 = 25 x a (13 x157)/ 25 = a = a 82 soldiers = a |
| 2) A troop has provisions for 178 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 21 days Answer: 119 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 14 x 178 = 21 x a (14 x178)/ 21 = a = a 119 soldiers = a |
| 3) A troop has provisions for 173 soldiers for 14 days. How many soldiers leave the troop so that the provisions may last for 23 days Answer: 105 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 14 x 173 = 23 x a (14 x173)/ 23 = a = a 105 soldiers = a |
| 4) A troop has provisions for 194 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 29 days Answer: 87 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 13 x 194 = 29 x a (13 x194)/ 29 = a = a 87 soldiers = a |
| 5) A troop has provisions for 194 soldiers for 10 days. How many soldiers leave the troop so that the provisions may last for 26 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 10 x 194 = 26 x a (10 x194)/ 26 = a = a 75 soldiers = a |
| 6) A troop has provisions for 147 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 28 days Answer: 68 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 13 x 147 = 28 x a (13 x147)/ 28 = a = a 68 soldiers = a |
| 7) A troop has provisions for 103 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 20 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 13 x 103 = 20 x a (13 x103)/ 20 = a = a 67 soldiers = a |
| 8) A troop has provisions for 116 soldiers for 11 days. How many soldiers leave the troop so that the provisions may last for 27 days Answer: 47 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 = 27 x a (11 x116)/ 27 = a = a 47 soldiers = a |
| 9) A troop has provisions for 148 soldiers for 15 days. How many soldiers leave the troop so that the provisions may last for 27 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 148 = 27 x a (15 x148)/ 27 = a = a 82 soldiers = a |
| 10) A troop has provisions for 141 soldiers for 13 days. How many soldiers leave the troop so that the provisions may last for 20 days Answer: 92 soldiers SOLUTION 1 : Given:
As the No of days increases, No of soldiers decreases It is in inverses variation. So, xy = Constant 13 x 141 = 20 x a (13 x141)/ 20 = a = a 92 soldiers = a |