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)  

 26 teachers are required for a school with a strength 112 students. How many teachers are required for a school of 549 students


Answer:_______________




2)  

 23 teachers are required for a school with a strength 177 students. How many teachers are required for a school of 454 students


Answer:_______________




3)  

 32 teachers are required for a school with a strength 169 students. How many teachers are required for a school of 514 students


Answer:_______________




4)  

 30 teachers are required for a school with a strength 220 students. How many teachers are required for a school of 459 students


Answer:_______________




5)  

 26 teachers are required for a school with a strength 115 students. How many teachers are required for a school of 527 students


Answer:_______________




6)  

 34 teachers are required for a school with a strength 230 students. How many teachers are required for a school of 546 students


Answer:_______________




7)  

 21 teachers are required for a school with a strength 132 students. How many teachers are required for a school of 481 students


Answer:_______________




8)  

 20 teachers are required for a school with a strength 149 students. How many teachers are required for a school of 512 students


Answer:_______________




9)  

 25 teachers are required for a school with a strength 169 students. How many teachers are required for a school of 529 students


Answer:_______________




10)  

 20 teachers are required for a school with a strength 256 students. How many teachers are required for a school of 600 students


Answer:_______________




 

1)  

 26 teachers are required for a school with a strength 112 students. How many teachers are required for a school of 549 students

Answer: 127


SOLUTION 1 :

Given:

No of teachersStrength of students
     26        112   (x)
       (a)        549   (y)

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

It is in direct variation.

So,   xy   =  Constant

   112549  =  26/a     

             a        =  (549 x 26) / 112

                        = 14274112

                        = 127

127 teachers are required for a school of 549 students. 



2)  

 23 teachers are required for a school with a strength 177 students. How many teachers are required for a school of 454 students

Answer: 59


SOLUTION 1 :

Given:

No of teachersStrength of students
     23        177   (x)
       (a)        454   (y)

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

It is in direct variation.

So,   xy   =  Constant

   177454  =  23/a     

             a        =  (454 x 23) / 177

                        = 10442177

                        = 59

59 teachers are required for a school of 454 students. 



3)  

 32 teachers are required for a school with a strength 169 students. How many teachers are required for a school of 514 students

Answer: 97


SOLUTION 1 :

Given:

No of teachersStrength of students
     32        169   (x)
       (a)        514   (y)

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

It is in direct variation.

So,   xy   =  Constant

   169514  =  32/a     

             a        =  (514 x 32) / 169

                        = 16448169

                        = 97

97 teachers are required for a school of 514 students. 



4)  

 30 teachers are required for a school with a strength 220 students. How many teachers are required for a school of 459 students

Answer: 63


SOLUTION 1 :

Given:

No of teachersStrength of students
     30        220   (x)
       (a)        459   (y)

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

It is in direct variation.

So,   xy   =  Constant

   220459  =  30/a     

             a        =  (459 x 30) / 220

                        = 13770220

                        = 63

63 teachers are required for a school of 459 students. 



5)  

 26 teachers are required for a school with a strength 115 students. How many teachers are required for a school of 527 students

Answer: 119


SOLUTION 1 :

Given:

No of teachersStrength of students
     26        115   (x)
       (a)        527   (y)

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

It is in direct variation.

So,   xy   =  Constant

   115527  =  26/a     

             a        =  (527 x 26) / 115

                        = 13702115

                        = 119

119 teachers are required for a school of 527 students. 



6)  

 34 teachers are required for a school with a strength 230 students. How many teachers are required for a school of 546 students

Answer: 81


SOLUTION 1 :

Given:

No of teachersStrength of students
     34        230   (x)
       (a)        546   (y)

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

It is in direct variation.

So,   xy   =  Constant

   230546  =  34/a     

             a        =  (546 x 34) / 230

                        = 18564230

                        = 81

81 teachers are required for a school of 546 students. 



7)  

 21 teachers are required for a school with a strength 132 students. How many teachers are required for a school of 481 students

Answer: 77


SOLUTION 1 :

Given:

No of teachersStrength of students
     21        132   (x)
       (a)        481   (y)

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

It is in direct variation.

So,   xy   =  Constant

   132481  =  21/a     

             a        =  (481 x 21) / 132

                        = 10101132

                        = 77

77 teachers are required for a school of 481 students. 



8)  

 20 teachers are required for a school with a strength 149 students. How many teachers are required for a school of 512 students

Answer: 69


SOLUTION 1 :

Given:

No of teachersStrength of students
     20        149   (x)
       (a)        512   (y)

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

It is in direct variation.

So,   xy   =  Constant

   149512  =  20/a     

             a        =  (512 x 20) / 149

                        = 10240149

                        = 69

69 teachers are required for a school of 512 students. 



9)  

 25 teachers are required for a school with a strength 169 students. How many teachers are required for a school of 529 students

Answer: 78


SOLUTION 1 :

Given:

No of teachersStrength of students
     25        169   (x)
       (a)        529   (y)

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

It is in direct variation.

So,   xy   =  Constant

   169529  =  25/a     

             a        =  (529 x 25) / 169

                        = 13225169

                        = 78

78 teachers are required for a school of 529 students. 



10)  

 20 teachers are required for a school with a strength 256 students. How many teachers are required for a school of 600 students

Answer: 47


SOLUTION 1 :

Given:

No of teachersStrength of students
     20        256   (x)
       (a)        600   (y)

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

It is in direct variation.

So,   xy   =  Constant

   256600  =  20/a     

             a        =  (600 x 20) / 256

                        = 12000256

                        = 47

47 teachers are required for a school of 600 students.