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)  

 37 teachers are required for a school with a strength 219 students. How many teachers are required for a school of 468 students


Answer:_______________




2)  

 27 teachers are required for a school with a strength 105 students. How many teachers are required for a school of 593 students


Answer:_______________




3)  

 30 teachers are required for a school with a strength 229 students. How many teachers are required for a school of 400 students


Answer:_______________




4)  

 29 teachers are required for a school with a strength 258 students. How many teachers are required for a school of 572 students


Answer:_______________




5)  

 22 teachers are required for a school with a strength 194 students. How many teachers are required for a school of 526 students


Answer:_______________




6)  

 21 teachers are required for a school with a strength 133 students. How many teachers are required for a school of 572 students


Answer:_______________




7)  

 32 teachers are required for a school with a strength 284 students. How many teachers are required for a school of 559 students


Answer:_______________




8)  

 26 teachers are required for a school with a strength 126 students. How many teachers are required for a school of 540 students


Answer:_______________




9)  

 36 teachers are required for a school with a strength 108 students. How many teachers are required for a school of 595 students


Answer:_______________




10)  

 34 teachers are required for a school with a strength 193 students. How many teachers are required for a school of 555 students


Answer:_______________




 

1)  

 37 teachers are required for a school with a strength 219 students. How many teachers are required for a school of 468 students

Answer: 79


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        219   (x)
       (a)        468   (y)

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

It is in direct variation.

So,   xy   =  Constant

   219468  =  37/a     

             a        =  (468 x 37) / 219

                        = 17316219

                        = 79

79 teachers are required for a school of 468 students. 



2)  

 27 teachers are required for a school with a strength 105 students. How many teachers are required for a school of 593 students

Answer: 152


SOLUTION 1 :

Given:

No of teachersStrength of students
     27        105   (x)
       (a)        593   (y)

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

It is in direct variation.

So,   xy   =  Constant

   105593  =  27/a     

             a        =  (593 x 27) / 105

                        = 16011105

                        = 152

152 teachers are required for a school of 593 students. 



3)  

 30 teachers are required for a school with a strength 229 students. How many teachers are required for a school of 400 students

Answer: 52


SOLUTION 1 :

Given:

No of teachersStrength of students
     30        229   (x)
       (a)        400   (y)

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

It is in direct variation.

So,   xy   =  Constant

   229400  =  30/a     

             a        =  (400 x 30) / 229

                        = 12000229

                        = 52

52 teachers are required for a school of 400 students. 



4)  

 29 teachers are required for a school with a strength 258 students. How many teachers are required for a school of 572 students

Answer: 64


SOLUTION 1 :

Given:

No of teachersStrength of students
     29        258   (x)
       (a)        572   (y)

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

It is in direct variation.

So,   xy   =  Constant

   258572  =  29/a     

             a        =  (572 x 29) / 258

                        = 16588258

                        = 64

64 teachers are required for a school of 572 students. 



5)  

 22 teachers are required for a school with a strength 194 students. How many teachers are required for a school of 526 students

Answer: 60


SOLUTION 1 :

Given:

No of teachersStrength of students
     22        194   (x)
       (a)        526   (y)

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

It is in direct variation.

So,   xy   =  Constant

   194526  =  22/a     

             a        =  (526 x 22) / 194

                        = 11572194

                        = 60

60 teachers are required for a school of 526 students. 



6)  

 21 teachers are required for a school with a strength 133 students. How many teachers are required for a school of 572 students

Answer: 90


SOLUTION 1 :

Given:

No of teachersStrength of students
     21        133   (x)
       (a)        572   (y)

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

It is in direct variation.

So,   xy   =  Constant

   133572  =  21/a     

             a        =  (572 x 21) / 133

                        = 12012133

                        = 90

90 teachers are required for a school of 572 students. 



7)  

 32 teachers are required for a school with a strength 284 students. How many teachers are required for a school of 559 students

Answer: 63


SOLUTION 1 :

Given:

No of teachersStrength of students
     32        284   (x)
       (a)        559   (y)

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

It is in direct variation.

So,   xy   =  Constant

   284559  =  32/a     

             a        =  (559 x 32) / 284

                        = 17888284

                        = 63

63 teachers are required for a school of 559 students. 



8)  

 26 teachers are required for a school with a strength 126 students. How many teachers are required for a school of 540 students

Answer: 111


SOLUTION 1 :

Given:

No of teachersStrength of students
     26        126   (x)
       (a)        540   (y)

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

It is in direct variation.

So,   xy   =  Constant

   126540  =  26/a     

             a        =  (540 x 26) / 126

                        = 14040126

                        = 111

111 teachers are required for a school of 540 students. 



9)  

 36 teachers are required for a school with a strength 108 students. How many teachers are required for a school of 595 students

Answer: 198


SOLUTION 1 :

Given:

No of teachersStrength of students
     36        108   (x)
       (a)        595   (y)

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

It is in direct variation.

So,   xy   =  Constant

   108595  =  36/a     

             a        =  (595 x 36) / 108

                        = 21420108

                        = 198

198 teachers are required for a school of 595 students. 



10)  

 34 teachers are required for a school with a strength 193 students. How many teachers are required for a school of 555 students

Answer: 98


SOLUTION 1 :

Given:

No of teachersStrength of students
     34        193   (x)
       (a)        555   (y)

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

It is in direct variation.

So,   xy   =  Constant

   193555  =  34/a     

             a        =  (555 x 34) / 193

                        = 18870193

                        = 98

98 teachers are required for a school of 555 students.