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)  

 21 teachers are required for a school with a strength 196 students. How many teachers are required for a school of 510 students


Answer:_______________




2)  

 37 teachers are required for a school with a strength 115 students. How many teachers are required for a school of 573 students


Answer:_______________




3)  

 40 teachers are required for a school with a strength 180 students. How many teachers are required for a school of 520 students


Answer:_______________




4)  

 39 teachers are required for a school with a strength 153 students. How many teachers are required for a school of 475 students


Answer:_______________




5)  

 20 teachers are required for a school with a strength 110 students. How many teachers are required for a school of 413 students


Answer:_______________




6)  

 30 teachers are required for a school with a strength 126 students. How many teachers are required for a school of 415 students


Answer:_______________




7)  

 36 teachers are required for a school with a strength 226 students. How many teachers are required for a school of 483 students


Answer:_______________




8)  

 37 teachers are required for a school with a strength 226 students. How many teachers are required for a school of 477 students


Answer:_______________




9)  

 24 teachers are required for a school with a strength 117 students. How many teachers are required for a school of 585 students


Answer:_______________




10)  

 37 teachers are required for a school with a strength 244 students. How many teachers are required for a school of 447 students


Answer:_______________




 

1)  

 21 teachers are required for a school with a strength 196 students. How many teachers are required for a school of 510 students

Answer: 55


SOLUTION 1 :

Given:

No of teachersStrength of students
     21        196   (x)
       (a)        510   (y)

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

It is in direct variation.

So,   xy   =  Constant

   196510  =  21/a     

             a        =  (510 x 21) / 196

                        = 10710196

                        = 55

55 teachers are required for a school of 510 students. 



2)  

 37 teachers are required for a school with a strength 115 students. How many teachers are required for a school of 573 students

Answer: 184


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        115   (x)
       (a)        573   (y)

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

It is in direct variation.

So,   xy   =  Constant

   115573  =  37/a     

             a        =  (573 x 37) / 115

                        = 21201115

                        = 184

184 teachers are required for a school of 573 students. 



3)  

 40 teachers are required for a school with a strength 180 students. How many teachers are required for a school of 520 students

Answer: 116


SOLUTION 1 :

Given:

No of teachersStrength of students
     40        180   (x)
       (a)        520   (y)

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

It is in direct variation.

So,   xy   =  Constant

   180520  =  40/a     

             a        =  (520 x 40) / 180

                        = 20800180

                        = 116

116 teachers are required for a school of 520 students. 



4)  

 39 teachers are required for a school with a strength 153 students. How many teachers are required for a school of 475 students

Answer: 121


SOLUTION 1 :

Given:

No of teachersStrength of students
     39        153   (x)
       (a)        475   (y)

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

It is in direct variation.

So,   xy   =  Constant

   153475  =  39/a     

             a        =  (475 x 39) / 153

                        = 18525153

                        = 121

121 teachers are required for a school of 475 students. 



5)  

 20 teachers are required for a school with a strength 110 students. How many teachers are required for a school of 413 students

Answer: 75


SOLUTION 1 :

Given:

No of teachersStrength of students
     20        110   (x)
       (a)        413   (y)

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

It is in direct variation.

So,   xy   =  Constant

   110413  =  20/a     

             a        =  (413 x 20) / 110

                        = 8260110

                        = 75

75 teachers are required for a school of 413 students. 



6)  

 30 teachers are required for a school with a strength 126 students. How many teachers are required for a school of 415 students

Answer: 99


SOLUTION 1 :

Given:

No of teachersStrength of students
     30        126   (x)
       (a)        415   (y)

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

It is in direct variation.

So,   xy   =  Constant

   126415  =  30/a     

             a        =  (415 x 30) / 126

                        = 12450126

                        = 99

99 teachers are required for a school of 415 students. 



7)  

 36 teachers are required for a school with a strength 226 students. How many teachers are required for a school of 483 students

Answer: 77


SOLUTION 1 :

Given:

No of teachersStrength of students
     36        226   (x)
       (a)        483   (y)

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

It is in direct variation.

So,   xy   =  Constant

   226483  =  36/a     

             a        =  (483 x 36) / 226

                        = 17388226

                        = 77

77 teachers are required for a school of 483 students. 



8)  

 37 teachers are required for a school with a strength 226 students. How many teachers are required for a school of 477 students

Answer: 78


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        226   (x)
       (a)        477   (y)

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

It is in direct variation.

So,   xy   =  Constant

   226477  =  37/a     

             a        =  (477 x 37) / 226

                        = 17649226

                        = 78

78 teachers are required for a school of 477 students. 



9)  

 24 teachers are required for a school with a strength 117 students. How many teachers are required for a school of 585 students

Answer: 120


SOLUTION 1 :

Given:

No of teachersStrength of students
     24        117   (x)
       (a)        585   (y)

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

It is in direct variation.

So,   xy   =  Constant

   117585  =  24/a     

             a        =  (585 x 24) / 117

                        = 14040117

                        = 120

120 teachers are required for a school of 585 students. 



10)  

 37 teachers are required for a school with a strength 244 students. How many teachers are required for a school of 447 students

Answer: 68


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        244   (x)
       (a)        447   (y)

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

It is in direct variation.

So,   xy   =  Constant

   244447  =  37/a     

             a        =  (447 x 37) / 244

                        = 16539244

                        = 68

68 teachers are required for a school of 447 students.