Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4333)


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)  

 37 teachers are required for a school with a strength 180 students. How many teachers are required for a school of 560 students


Answer:_______________




2)  

 27 teachers are required for a school with a strength 293 students. How many teachers are required for a school of 585 students


Answer:_______________




3)  

 39 teachers are required for a school with a strength 272 students. How many teachers are required for a school of 493 students


Answer:_______________




4)  

 27 teachers are required for a school with a strength 204 students. How many teachers are required for a school of 457 students


Answer:_______________




5)  

 29 teachers are required for a school with a strength 160 students. How many teachers are required for a school of 455 students


Answer:_______________




6)  

 32 teachers are required for a school with a strength 264 students. How many teachers are required for a school of 496 students


Answer:_______________




7)  

 31 teachers are required for a school with a strength 163 students. How many teachers are required for a school of 419 students


Answer:_______________




8)  

 37 teachers are required for a school with a strength 158 students. How many teachers are required for a school of 501 students


Answer:_______________




9)  

 36 teachers are required for a school with a strength 123 students. How many teachers are required for a school of 482 students


Answer:_______________




10)  

 25 teachers are required for a school with a strength 170 students. How many teachers are required for a school of 545 students


Answer:_______________




 

1)  

 37 teachers are required for a school with a strength 180 students. How many teachers are required for a school of 560 students

Answer: 115


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        180   (x)
       (a)        560   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   180560  =  37/a     

             a        =  (560 x 37) / 180

                        = 20720180

                        = 115

115 teachers are required for a school of 560 students. 



2)  

 27 teachers are required for a school with a strength 293 students. How many teachers are required for a school of 585 students

Answer: 54


SOLUTION 1 :

Given:

No of teachersStrength of students
     27        293   (x)
       (a)        585   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   293585  =  27/a     

             a        =  (585 x 27) / 293

                        = 15795293

                        = 54

54 teachers are required for a school of 585 students. 



3)  

 39 teachers are required for a school with a strength 272 students. How many teachers are required for a school of 493 students

Answer: 71


SOLUTION 1 :

Given:

No of teachersStrength of students
     39        272   (x)
       (a)        493   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   272493  =  39/a     

             a        =  (493 x 39) / 272

                        = 19227272

                        = 71

71 teachers are required for a school of 493 students. 



4)  

 27 teachers are required for a school with a strength 204 students. How many teachers are required for a school of 457 students

Answer: 60


SOLUTION 1 :

Given:

No of teachersStrength of students
     27        204   (x)
       (a)        457   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   204457  =  27/a     

             a        =  (457 x 27) / 204

                        = 12339204

                        = 60

60 teachers are required for a school of 457 students. 



5)  

 29 teachers are required for a school with a strength 160 students. How many teachers are required for a school of 455 students

Answer: 82


SOLUTION 1 :

Given:

No of teachersStrength of students
     29        160   (x)
       (a)        455   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   160455  =  29/a     

             a        =  (455 x 29) / 160

                        = 13195160

                        = 82

82 teachers are required for a school of 455 students. 



6)  

 32 teachers are required for a school with a strength 264 students. How many teachers are required for a school of 496 students

Answer: 60


SOLUTION 1 :

Given:

No of teachersStrength of students
     32        264   (x)
       (a)        496   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   264496  =  32/a     

             a        =  (496 x 32) / 264

                        = 15872264

                        = 60

60 teachers are required for a school of 496 students. 



7)  

 31 teachers are required for a school with a strength 163 students. How many teachers are required for a school of 419 students

Answer: 80


SOLUTION 1 :

Given:

No of teachersStrength of students
     31        163   (x)
       (a)        419   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   163419  =  31/a     

             a        =  (419 x 31) / 163

                        = 12989163

                        = 80

80 teachers are required for a school of 419 students. 



8)  

 37 teachers are required for a school with a strength 158 students. How many teachers are required for a school of 501 students

Answer: 117


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        158   (x)
       (a)        501   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   158501  =  37/a     

             a        =  (501 x 37) / 158

                        = 18537158

                        = 117

117 teachers are required for a school of 501 students. 



9)  

 36 teachers are required for a school with a strength 123 students. How many teachers are required for a school of 482 students

Answer: 141


SOLUTION 1 :

Given:

No of teachersStrength of students
     36        123   (x)
       (a)        482   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   123482  =  36/a     

             a        =  (482 x 36) / 123

                        = 17352123

                        = 141

141 teachers are required for a school of 482 students. 



10)  

 25 teachers are required for a school with a strength 170 students. How many teachers are required for a school of 545 students

Answer: 80


SOLUTION 1 :

Given:

No of teachersStrength of students
     25        170   (x)
       (a)        545   (y)

As the Strength of students increases, No of teachers also  increases.

It is in direct variation.

So,   xy   =  Constant

   170545  =  25/a     

             a        =  (545 x 25) / 170

                        = 13625170

                        = 80

80 teachers are required for a school of 545 students.