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)  

 24 teachers are required for a school with a strength 221 students. How many teachers are required for a school of 427 students


Answer:_______________




2)  

 28 teachers are required for a school with a strength 156 students. How many teachers are required for a school of 436 students


Answer:_______________




3)  

 37 teachers are required for a school with a strength 287 students. How many teachers are required for a school of 576 students


Answer:_______________




4)  

 37 teachers are required for a school with a strength 208 students. How many teachers are required for a school of 575 students


Answer:_______________




5)  

 30 teachers are required for a school with a strength 269 students. How many teachers are required for a school of 400 students


Answer:_______________




6)  

 22 teachers are required for a school with a strength 284 students. How many teachers are required for a school of 497 students


Answer:_______________




7)  

 20 teachers are required for a school with a strength 105 students. How many teachers are required for a school of 403 students


Answer:_______________




8)  

 22 teachers are required for a school with a strength 231 students. How many teachers are required for a school of 431 students


Answer:_______________




9)  

 20 teachers are required for a school with a strength 249 students. How many teachers are required for a school of 456 students


Answer:_______________




10)  

 37 teachers are required for a school with a strength 137 students. How many teachers are required for a school of 442 students


Answer:_______________




 

1)  

 24 teachers are required for a school with a strength 221 students. How many teachers are required for a school of 427 students

Answer: 46


SOLUTION 1 :

Given:

No of teachersStrength of students
     24        221   (x)
       (a)        427   (y)

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

It is in direct variation.

So,   xy   =  Constant

   221427  =  24/a     

             a        =  (427 x 24) / 221

                        = 10248221

                        = 46

46 teachers are required for a school of 427 students. 



2)  

 28 teachers are required for a school with a strength 156 students. How many teachers are required for a school of 436 students

Answer: 78


SOLUTION 1 :

Given:

No of teachersStrength of students
     28        156   (x)
       (a)        436   (y)

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

It is in direct variation.

So,   xy   =  Constant

   156436  =  28/a     

             a        =  (436 x 28) / 156

                        = 12208156

                        = 78

78 teachers are required for a school of 436 students. 



3)  

 37 teachers are required for a school with a strength 287 students. How many teachers are required for a school of 576 students

Answer: 74


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        287   (x)
       (a)        576   (y)

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

It is in direct variation.

So,   xy   =  Constant

   287576  =  37/a     

             a        =  (576 x 37) / 287

                        = 21312287

                        = 74

74 teachers are required for a school of 576 students. 



4)  

 37 teachers are required for a school with a strength 208 students. How many teachers are required for a school of 575 students

Answer: 102


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        208   (x)
       (a)        575   (y)

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

It is in direct variation.

So,   xy   =  Constant

   208575  =  37/a     

             a        =  (575 x 37) / 208

                        = 21275208

                        = 102

102 teachers are required for a school of 575 students. 



5)  

 30 teachers are required for a school with a strength 269 students. How many teachers are required for a school of 400 students

Answer: 45


SOLUTION 1 :

Given:

No of teachersStrength of students
     30        269   (x)
       (a)        400   (y)

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

It is in direct variation.

So,   xy   =  Constant

   269400  =  30/a     

             a        =  (400 x 30) / 269

                        = 12000269

                        = 45

45 teachers are required for a school of 400 students. 



6)  

 22 teachers are required for a school with a strength 284 students. How many teachers are required for a school of 497 students

Answer: 39


SOLUTION 1 :

Given:

No of teachersStrength of students
     22        284   (x)
       (a)        497   (y)

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

It is in direct variation.

So,   xy   =  Constant

   284497  =  22/a     

             a        =  (497 x 22) / 284

                        = 10934284

                        = 39

39 teachers are required for a school of 497 students. 



7)  

 20 teachers are required for a school with a strength 105 students. How many teachers are required for a school of 403 students

Answer: 77


SOLUTION 1 :

Given:

No of teachersStrength of students
     20        105   (x)
       (a)        403   (y)

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

It is in direct variation.

So,   xy   =  Constant

   105403  =  20/a     

             a        =  (403 x 20) / 105

                        = 8060105

                        = 77

77 teachers are required for a school of 403 students. 



8)  

 22 teachers are required for a school with a strength 231 students. How many teachers are required for a school of 431 students

Answer: 41


SOLUTION 1 :

Given:

No of teachersStrength of students
     22        231   (x)
       (a)        431   (y)

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

It is in direct variation.

So,   xy   =  Constant

   231431  =  22/a     

             a        =  (431 x 22) / 231

                        = 9482231

                        = 41

41 teachers are required for a school of 431 students. 



9)  

 20 teachers are required for a school with a strength 249 students. How many teachers are required for a school of 456 students

Answer: 37


SOLUTION 1 :

Given:

No of teachersStrength of students
     20        249   (x)
       (a)        456   (y)

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

It is in direct variation.

So,   xy   =  Constant

   249456  =  20/a     

             a        =  (456 x 20) / 249

                        = 9120249

                        = 37

37 teachers are required for a school of 456 students. 



10)  

 37 teachers are required for a school with a strength 137 students. How many teachers are required for a school of 442 students

Answer: 119


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        137   (x)
       (a)        442   (y)

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

It is in direct variation.

So,   xy   =  Constant

   137442  =  37/a     

             a        =  (442 x 37) / 137

                        = 16354137

                        = 119

119 teachers are required for a school of 442 students.