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)  

 32 teachers are required for a school with a strength 124 students. How many teachers are required for a school of 432 students


Answer:_______________




2)  

 24 teachers are required for a school with a strength 244 students. How many teachers are required for a school of 559 students


Answer:_______________




3)  

 33 teachers are required for a school with a strength 114 students. How many teachers are required for a school of 575 students


Answer:_______________




4)  

 30 teachers are required for a school with a strength 255 students. How many teachers are required for a school of 600 students


Answer:_______________




5)  

 29 teachers are required for a school with a strength 139 students. How many teachers are required for a school of 563 students


Answer:_______________




6)  

 21 teachers are required for a school with a strength 275 students. How many teachers are required for a school of 488 students


Answer:_______________




7)  

 36 teachers are required for a school with a strength 106 students. How many teachers are required for a school of 447 students


Answer:_______________




8)  

 36 teachers are required for a school with a strength 222 students. How many teachers are required for a school of 450 students


Answer:_______________




9)  

 29 teachers are required for a school with a strength 225 students. How many teachers are required for a school of 507 students


Answer:_______________




10)  

 38 teachers are required for a school with a strength 140 students. How many teachers are required for a school of 475 students


Answer:_______________




 

1)  

 32 teachers are required for a school with a strength 124 students. How many teachers are required for a school of 432 students

Answer: 111


SOLUTION 1 :

Given:

No of teachersStrength of students
     32        124   (x)
       (a)        432   (y)

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

It is in direct variation.

So,   xy   =  Constant

   124432  =  32/a     

             a        =  (432 x 32) / 124

                        = 13824124

                        = 111

111 teachers are required for a school of 432 students. 



2)  

 24 teachers are required for a school with a strength 244 students. How many teachers are required for a school of 559 students

Answer: 55


SOLUTION 1 :

Given:

No of teachersStrength of students
     24        244   (x)
       (a)        559   (y)

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

It is in direct variation.

So,   xy   =  Constant

   244559  =  24/a     

             a        =  (559 x 24) / 244

                        = 13416244

                        = 55

55 teachers are required for a school of 559 students. 



3)  

 33 teachers are required for a school with a strength 114 students. How many teachers are required for a school of 575 students

Answer: 166


SOLUTION 1 :

Given:

No of teachersStrength of students
     33        114   (x)
       (a)        575   (y)

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

It is in direct variation.

So,   xy   =  Constant

   114575  =  33/a     

             a        =  (575 x 33) / 114

                        = 18975114

                        = 166

166 teachers are required for a school of 575 students. 



4)  

 30 teachers are required for a school with a strength 255 students. How many teachers are required for a school of 600 students

Answer: 71


SOLUTION 1 :

Given:

No of teachersStrength of students
     30        255   (x)
       (a)        600   (y)

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

It is in direct variation.

So,   xy   =  Constant

   255600  =  30/a     

             a        =  (600 x 30) / 255

                        = 18000255

                        = 71

71 teachers are required for a school of 600 students. 



5)  

 29 teachers are required for a school with a strength 139 students. How many teachers are required for a school of 563 students

Answer: 117


SOLUTION 1 :

Given:

No of teachersStrength of students
     29        139   (x)
       (a)        563   (y)

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

It is in direct variation.

So,   xy   =  Constant

   139563  =  29/a     

             a        =  (563 x 29) / 139

                        = 16327139

                        = 117

117 teachers are required for a school of 563 students. 



6)  

 21 teachers are required for a school with a strength 275 students. How many teachers are required for a school of 488 students

Answer: 37


SOLUTION 1 :

Given:

No of teachersStrength of students
     21        275   (x)
       (a)        488   (y)

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

It is in direct variation.

So,   xy   =  Constant

   275488  =  21/a     

             a        =  (488 x 21) / 275

                        = 10248275

                        = 37

37 teachers are required for a school of 488 students. 



7)  

 36 teachers are required for a school with a strength 106 students. How many teachers are required for a school of 447 students

Answer: 152


SOLUTION 1 :

Given:

No of teachersStrength of students
     36        106   (x)
       (a)        447   (y)

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

It is in direct variation.

So,   xy   =  Constant

   106447  =  36/a     

             a        =  (447 x 36) / 106

                        = 16092106

                        = 152

152 teachers are required for a school of 447 students. 



8)  

 36 teachers are required for a school with a strength 222 students. How many teachers are required for a school of 450 students

Answer: 73


SOLUTION 1 :

Given:

No of teachersStrength of students
     36        222   (x)
       (a)        450   (y)

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

It is in direct variation.

So,   xy   =  Constant

   222450  =  36/a     

             a        =  (450 x 36) / 222

                        = 16200222

                        = 73

73 teachers are required for a school of 450 students. 



9)  

 29 teachers are required for a school with a strength 225 students. How many teachers are required for a school of 507 students

Answer: 65


SOLUTION 1 :

Given:

No of teachersStrength of students
     29        225   (x)
       (a)        507   (y)

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

It is in direct variation.

So,   xy   =  Constant

   225507  =  29/a     

             a        =  (507 x 29) / 225

                        = 14703225

                        = 65

65 teachers are required for a school of 507 students. 



10)  

 38 teachers are required for a school with a strength 140 students. How many teachers are required for a school of 475 students

Answer: 129


SOLUTION 1 :

Given:

No of teachersStrength of students
     38        140   (x)
       (a)        475   (y)

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

It is in direct variation.

So,   xy   =  Constant

   140475  =  38/a     

             a        =  (475 x 38) / 140

                        = 18050140

                        = 129

129 teachers are required for a school of 475 students.