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)  

 34 teachers are required for a school with a strength 261 students. How many teachers are required for a school of 483 students


Answer:_______________




2)  

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


Answer:_______________




3)  

 23 teachers are required for a school with a strength 249 students. How many teachers are required for a school of 445 students


Answer:_______________




4)  

 31 teachers are required for a school with a strength 271 students. How many teachers are required for a school of 435 students


Answer:_______________




5)  

 20 teachers are required for a school with a strength 286 students. How many teachers are required for a school of 498 students


Answer:_______________




6)  

 38 teachers are required for a school with a strength 255 students. How many teachers are required for a school of 576 students


Answer:_______________




7)  

 28 teachers are required for a school with a strength 294 students. How many teachers are required for a school of 439 students


Answer:_______________




8)  

 23 teachers are required for a school with a strength 105 students. How many teachers are required for a school of 419 students


Answer:_______________




9)  

 20 teachers are required for a school with a strength 161 students. How many teachers are required for a school of 580 students


Answer:_______________




10)  

 27 teachers are required for a school with a strength 271 students. How many teachers are required for a school of 585 students


Answer:_______________




 

1)  

 34 teachers are required for a school with a strength 261 students. How many teachers are required for a school of 483 students

Answer: 63


SOLUTION 1 :

Given:

No of teachersStrength of students
     34        261   (x)
       (a)        483   (y)

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

It is in direct variation.

So,   xy   =  Constant

   261483  =  34/a     

             a        =  (483 x 34) / 261

                        = 16422261

                        = 63

63 teachers are required for a school of 483 students. 



2)  

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

Answer: 89


SOLUTION 1 :

Given:

No of teachersStrength of students
     32        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  =  32/a     

             a        =  (436 x 32) / 156

                        = 13952156

                        = 89

89 teachers are required for a school of 436 students. 



3)  

 23 teachers are required for a school with a strength 249 students. How many teachers are required for a school of 445 students

Answer: 41


SOLUTION 1 :

Given:

No of teachersStrength of students
     23        249   (x)
       (a)        445   (y)

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

It is in direct variation.

So,   xy   =  Constant

   249445  =  23/a     

             a        =  (445 x 23) / 249

                        = 10235249

                        = 41

41 teachers are required for a school of 445 students. 



4)  

 31 teachers are required for a school with a strength 271 students. How many teachers are required for a school of 435 students

Answer: 50


SOLUTION 1 :

Given:

No of teachersStrength of students
     31        271   (x)
       (a)        435   (y)

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

It is in direct variation.

So,   xy   =  Constant

   271435  =  31/a     

             a        =  (435 x 31) / 271

                        = 13485271

                        = 50

50 teachers are required for a school of 435 students. 



5)  

 20 teachers are required for a school with a strength 286 students. How many teachers are required for a school of 498 students

Answer: 35


SOLUTION 1 :

Given:

No of teachersStrength of students
     20        286   (x)
       (a)        498   (y)

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

It is in direct variation.

So,   xy   =  Constant

   286498  =  20/a     

             a        =  (498 x 20) / 286

                        = 9960286

                        = 35

35 teachers are required for a school of 498 students. 



6)  

 38 teachers are required for a school with a strength 255 students. How many teachers are required for a school of 576 students

Answer: 86


SOLUTION 1 :

Given:

No of teachersStrength of students
     38        255   (x)
       (a)        576   (y)

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

It is in direct variation.

So,   xy   =  Constant

   255576  =  38/a     

             a        =  (576 x 38) / 255

                        = 21888255

                        = 86

86 teachers are required for a school of 576 students. 



7)  

 28 teachers are required for a school with a strength 294 students. How many teachers are required for a school of 439 students

Answer: 42


SOLUTION 1 :

Given:

No of teachersStrength of students
     28        294   (x)
       (a)        439   (y)

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

It is in direct variation.

So,   xy   =  Constant

   294439  =  28/a     

             a        =  (439 x 28) / 294

                        = 12292294

                        = 42

42 teachers are required for a school of 439 students. 



8)  

 23 teachers are required for a school with a strength 105 students. How many teachers are required for a school of 419 students

Answer: 92


SOLUTION 1 :

Given:

No of teachersStrength of students
     23        105   (x)
       (a)        419   (y)

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

It is in direct variation.

So,   xy   =  Constant

   105419  =  23/a     

             a        =  (419 x 23) / 105

                        = 9637105

                        = 92

92 teachers are required for a school of 419 students. 



9)  

 20 teachers are required for a school with a strength 161 students. How many teachers are required for a school of 580 students

Answer: 72


SOLUTION 1 :

Given:

No of teachersStrength of students
     20        161   (x)
       (a)        580   (y)

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

It is in direct variation.

So,   xy   =  Constant

   161580  =  20/a     

             a        =  (580 x 20) / 161

                        = 11600161

                        = 72

72 teachers are required for a school of 580 students. 



10)  

 27 teachers are required for a school with a strength 271 students. How many teachers are required for a school of 585 students

Answer: 58


SOLUTION 1 :

Given:

No of teachersStrength of students
     27        271   (x)
       (a)        585   (y)

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

It is in direct variation.

So,   xy   =  Constant

   271585  =  27/a     

             a        =  (585 x 27) / 271

                        = 15795271

                        = 58

58 teachers are required for a school of 585 students.