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 295 students. How many teachers are required for a school of 510 students


Answer:_______________




2)  

 23 teachers are required for a school with a strength 217 students. How many teachers are required for a school of 552 students


Answer:_______________




3)  

 38 teachers are required for a school with a strength 111 students. How many teachers are required for a school of 413 students


Answer:_______________




4)  

 30 teachers are required for a school with a strength 152 students. How many teachers are required for a school of 567 students


Answer:_______________




5)  

 24 teachers are required for a school with a strength 143 students. How many teachers are required for a school of 525 students


Answer:_______________




6)  

 22 teachers are required for a school with a strength 141 students. How many teachers are required for a school of 402 students


Answer:_______________




7)  

 22 teachers are required for a school with a strength 258 students. How many teachers are required for a school of 600 students


Answer:_______________




8)  

 34 teachers are required for a school with a strength 178 students. How many teachers are required for a school of 574 students


Answer:_______________




9)  

 24 teachers are required for a school with a strength 270 students. How many teachers are required for a school of 561 students


Answer:_______________




10)  

 29 teachers are required for a school with a strength 140 students. How many teachers are required for a school of 430 students


Answer:_______________




 

1)  

 32 teachers are required for a school with a strength 295 students. How many teachers are required for a school of 510 students

Answer: 55


SOLUTION 1 :

Given:

No of teachersStrength of students
     32        295   (x)
       (a)        510   (y)

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

It is in direct variation.

So,   xy   =  Constant

   295510  =  32/a     

             a        =  (510 x 32) / 295

                        = 16320295

                        = 55

55 teachers are required for a school of 510 students. 



2)  

 23 teachers are required for a school with a strength 217 students. How many teachers are required for a school of 552 students

Answer: 59


SOLUTION 1 :

Given:

No of teachersStrength of students
     23        217   (x)
       (a)        552   (y)

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

It is in direct variation.

So,   xy   =  Constant

   217552  =  23/a     

             a        =  (552 x 23) / 217

                        = 12696217

                        = 59

59 teachers are required for a school of 552 students. 



3)  

 38 teachers are required for a school with a strength 111 students. How many teachers are required for a school of 413 students

Answer: 141


SOLUTION 1 :

Given:

No of teachersStrength of students
     38        111   (x)
       (a)        413   (y)

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

It is in direct variation.

So,   xy   =  Constant

   111413  =  38/a     

             a        =  (413 x 38) / 111

                        = 15694111

                        = 141

141 teachers are required for a school of 413 students. 



4)  

 30 teachers are required for a school with a strength 152 students. How many teachers are required for a school of 567 students

Answer: 112


SOLUTION 1 :

Given:

No of teachersStrength of students
     30        152   (x)
       (a)        567   (y)

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

It is in direct variation.

So,   xy   =  Constant

   152567  =  30/a     

             a        =  (567 x 30) / 152

                        = 17010152

                        = 112

112 teachers are required for a school of 567 students. 



5)  

 24 teachers are required for a school with a strength 143 students. How many teachers are required for a school of 525 students

Answer: 88


SOLUTION 1 :

Given:

No of teachersStrength of students
     24        143   (x)
       (a)        525   (y)

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

It is in direct variation.

So,   xy   =  Constant

   143525  =  24/a     

             a        =  (525 x 24) / 143

                        = 12600143

                        = 88

88 teachers are required for a school of 525 students. 



6)  

 22 teachers are required for a school with a strength 141 students. How many teachers are required for a school of 402 students

Answer: 63


SOLUTION 1 :

Given:

No of teachersStrength of students
     22        141   (x)
       (a)        402   (y)

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

It is in direct variation.

So,   xy   =  Constant

   141402  =  22/a     

             a        =  (402 x 22) / 141

                        = 8844141

                        = 63

63 teachers are required for a school of 402 students. 



7)  

 22 teachers are required for a school with a strength 258 students. How many teachers are required for a school of 600 students

Answer: 51


SOLUTION 1 :

Given:

No of teachersStrength of students
     22        258   (x)
       (a)        600   (y)

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

It is in direct variation.

So,   xy   =  Constant

   258600  =  22/a     

             a        =  (600 x 22) / 258

                        = 13200258

                        = 51

51 teachers are required for a school of 600 students. 



8)  

 34 teachers are required for a school with a strength 178 students. How many teachers are required for a school of 574 students

Answer: 110


SOLUTION 1 :

Given:

No of teachersStrength of students
     34        178   (x)
       (a)        574   (y)

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

It is in direct variation.

So,   xy   =  Constant

   178574  =  34/a     

             a        =  (574 x 34) / 178

                        = 19516178

                        = 110

110 teachers are required for a school of 574 students. 



9)  

 24 teachers are required for a school with a strength 270 students. How many teachers are required for a school of 561 students

Answer: 50


SOLUTION 1 :

Given:

No of teachersStrength of students
     24        270   (x)
       (a)        561   (y)

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

It is in direct variation.

So,   xy   =  Constant

   270561  =  24/a     

             a        =  (561 x 24) / 270

                        = 13464270

                        = 50

50 teachers are required for a school of 561 students. 



10)  

 29 teachers are required for a school with a strength 140 students. How many teachers are required for a school of 430 students

Answer: 89


SOLUTION 1 :

Given:

No of teachersStrength of students
     29        140   (x)
       (a)        430   (y)

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

It is in direct variation.

So,   xy   =  Constant

   140430  =  29/a     

             a        =  (430 x 29) / 140

                        = 12470140

                        = 89

89 teachers are required for a school of 430 students.