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)  

 35 teachers are required for a school with a strength 230 students. How many teachers are required for a school of 510 students


Answer:_______________




2)  

 31 teachers are required for a school with a strength 282 students. How many teachers are required for a school of 570 students


Answer:_______________




3)  

 30 teachers are required for a school with a strength 262 students. How many teachers are required for a school of 447 students


Answer:_______________




4)  

 27 teachers are required for a school with a strength 279 students. How many teachers are required for a school of 447 students


Answer:_______________




5)  

 30 teachers are required for a school with a strength 271 students. How many teachers are required for a school of 539 students


Answer:_______________




6)  

 20 teachers are required for a school with a strength 280 students. How many teachers are required for a school of 594 students


Answer:_______________




7)  

 33 teachers are required for a school with a strength 170 students. How many teachers are required for a school of 567 students


Answer:_______________




8)  

 22 teachers are required for a school with a strength 131 students. How many teachers are required for a school of 595 students


Answer:_______________




9)  

 39 teachers are required for a school with a strength 267 students. How many teachers are required for a school of 512 students


Answer:_______________




10)  

 33 teachers are required for a school with a strength 161 students. How many teachers are required for a school of 490 students


Answer:_______________




 

1)  

 35 teachers are required for a school with a strength 230 students. How many teachers are required for a school of 510 students

Answer: 78


SOLUTION 1 :

Given:

No of teachersStrength of students
     35        230   (x)
       (a)        510   (y)

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

It is in direct variation.

So,   xy   =  Constant

   230510  =  35/a     

             a        =  (510 x 35) / 230

                        = 17850230

                        = 78

78 teachers are required for a school of 510 students. 



2)  

 31 teachers are required for a school with a strength 282 students. How many teachers are required for a school of 570 students

Answer: 63


SOLUTION 1 :

Given:

No of teachersStrength of students
     31        282   (x)
       (a)        570   (y)

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

It is in direct variation.

So,   xy   =  Constant

   282570  =  31/a     

             a        =  (570 x 31) / 282

                        = 17670282

                        = 63

63 teachers are required for a school of 570 students. 



3)  

 30 teachers are required for a school with a strength 262 students. How many teachers are required for a school of 447 students

Answer: 51


SOLUTION 1 :

Given:

No of teachersStrength of students
     30        262   (x)
       (a)        447   (y)

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

It is in direct variation.

So,   xy   =  Constant

   262447  =  30/a     

             a        =  (447 x 30) / 262

                        = 13410262

                        = 51

51 teachers are required for a school of 447 students. 



4)  

 27 teachers are required for a school with a strength 279 students. How many teachers are required for a school of 447 students

Answer: 43


SOLUTION 1 :

Given:

No of teachersStrength of students
     27        279   (x)
       (a)        447   (y)

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

It is in direct variation.

So,   xy   =  Constant

   279447  =  27/a     

             a        =  (447 x 27) / 279

                        = 12069279

                        = 43

43 teachers are required for a school of 447 students. 



5)  

 30 teachers are required for a school with a strength 271 students. How many teachers are required for a school of 539 students

Answer: 60


SOLUTION 1 :

Given:

No of teachersStrength of students
     30        271   (x)
       (a)        539   (y)

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

It is in direct variation.

So,   xy   =  Constant

   271539  =  30/a     

             a        =  (539 x 30) / 271

                        = 16170271

                        = 60

60 teachers are required for a school of 539 students. 



6)  

 20 teachers are required for a school with a strength 280 students. How many teachers are required for a school of 594 students

Answer: 42


SOLUTION 1 :

Given:

No of teachersStrength of students
     20        280   (x)
       (a)        594   (y)

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

It is in direct variation.

So,   xy   =  Constant

   280594  =  20/a     

             a        =  (594 x 20) / 280

                        = 11880280

                        = 42

42 teachers are required for a school of 594 students. 



7)  

 33 teachers are required for a school with a strength 170 students. How many teachers are required for a school of 567 students

Answer: 110


SOLUTION 1 :

Given:

No of teachersStrength of students
     33        170   (x)
       (a)        567   (y)

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

It is in direct variation.

So,   xy   =  Constant

   170567  =  33/a     

             a        =  (567 x 33) / 170

                        = 18711170

                        = 110

110 teachers are required for a school of 567 students. 



8)  

 22 teachers are required for a school with a strength 131 students. How many teachers are required for a school of 595 students

Answer: 100


SOLUTION 1 :

Given:

No of teachersStrength of students
     22        131   (x)
       (a)        595   (y)

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

It is in direct variation.

So,   xy   =  Constant

   131595  =  22/a     

             a        =  (595 x 22) / 131

                        = 13090131

                        = 100

100 teachers are required for a school of 595 students. 



9)  

 39 teachers are required for a school with a strength 267 students. How many teachers are required for a school of 512 students

Answer: 75


SOLUTION 1 :

Given:

No of teachersStrength of students
     39        267   (x)
       (a)        512   (y)

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

It is in direct variation.

So,   xy   =  Constant

   267512  =  39/a     

             a        =  (512 x 39) / 267

                        = 19968267

                        = 75

75 teachers are required for a school of 512 students. 



10)  

 33 teachers are required for a school with a strength 161 students. How many teachers are required for a school of 490 students

Answer: 100


SOLUTION 1 :

Given:

No of teachersStrength of students
     33        161   (x)
       (a)        490   (y)

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

It is in direct variation.

So,   xy   =  Constant

   161490  =  33/a     

             a        =  (490 x 33) / 161

                        = 16170161

                        = 100

100 teachers are required for a school of 490 students.