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)  

 23 teachers are required for a school with a strength 125 students. How many teachers are required for a school of 417 students


Answer:_______________




2)  

 33 teachers are required for a school with a strength 269 students. How many teachers are required for a school of 521 students


Answer:_______________




3)  

 27 teachers are required for a school with a strength 187 students. How many teachers are required for a school of 409 students


Answer:_______________




4)  

 37 teachers are required for a school with a strength 175 students. How many teachers are required for a school of 421 students


Answer:_______________




5)  

 34 teachers are required for a school with a strength 125 students. How many teachers are required for a school of 457 students


Answer:_______________




6)  

 40 teachers are required for a school with a strength 147 students. How many teachers are required for a school of 529 students


Answer:_______________




7)  

 38 teachers are required for a school with a strength 281 students. How many teachers are required for a school of 546 students


Answer:_______________




8)  

 28 teachers are required for a school with a strength 239 students. How many teachers are required for a school of 462 students


Answer:_______________




9)  

 29 teachers are required for a school with a strength 186 students. How many teachers are required for a school of 414 students


Answer:_______________




10)  

 24 teachers are required for a school with a strength 245 students. How many teachers are required for a school of 492 students


Answer:_______________




 

1)  

 23 teachers are required for a school with a strength 125 students. How many teachers are required for a school of 417 students

Answer: 77


SOLUTION 1 :

Given:

No of teachersStrength of students
     23        125   (x)
       (a)        417   (y)

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

It is in direct variation.

So,   xy   =  Constant

   125417  =  23/a     

             a        =  (417 x 23) / 125

                        = 9591125

                        = 77

77 teachers are required for a school of 417 students. 



2)  

 33 teachers are required for a school with a strength 269 students. How many teachers are required for a school of 521 students

Answer: 64


SOLUTION 1 :

Given:

No of teachersStrength of students
     33        269   (x)
       (a)        521   (y)

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

It is in direct variation.

So,   xy   =  Constant

   269521  =  33/a     

             a        =  (521 x 33) / 269

                        = 17193269

                        = 64

64 teachers are required for a school of 521 students. 



3)  

 27 teachers are required for a school with a strength 187 students. How many teachers are required for a school of 409 students

Answer: 59


SOLUTION 1 :

Given:

No of teachersStrength of students
     27        187   (x)
       (a)        409   (y)

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

It is in direct variation.

So,   xy   =  Constant

   187409  =  27/a     

             a        =  (409 x 27) / 187

                        = 11043187

                        = 59

59 teachers are required for a school of 409 students. 



4)  

 37 teachers are required for a school with a strength 175 students. How many teachers are required for a school of 421 students

Answer: 89


SOLUTION 1 :

Given:

No of teachersStrength of students
     37        175   (x)
       (a)        421   (y)

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

It is in direct variation.

So,   xy   =  Constant

   175421  =  37/a     

             a        =  (421 x 37) / 175

                        = 15577175

                        = 89

89 teachers are required for a school of 421 students. 



5)  

 34 teachers are required for a school with a strength 125 students. How many teachers are required for a school of 457 students

Answer: 124


SOLUTION 1 :

Given:

No of teachersStrength of students
     34        125   (x)
       (a)        457   (y)

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

It is in direct variation.

So,   xy   =  Constant

   125457  =  34/a     

             a        =  (457 x 34) / 125

                        = 15538125

                        = 124

124 teachers are required for a school of 457 students. 



6)  

 40 teachers are required for a school with a strength 147 students. How many teachers are required for a school of 529 students

Answer: 144


SOLUTION 1 :

Given:

No of teachersStrength of students
     40        147   (x)
       (a)        529   (y)

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

It is in direct variation.

So,   xy   =  Constant

   147529  =  40/a     

             a        =  (529 x 40) / 147

                        = 21160147

                        = 144

144 teachers are required for a school of 529 students. 



7)  

 38 teachers are required for a school with a strength 281 students. How many teachers are required for a school of 546 students

Answer: 74


SOLUTION 1 :

Given:

No of teachersStrength of students
     38        281   (x)
       (a)        546   (y)

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

It is in direct variation.

So,   xy   =  Constant

   281546  =  38/a     

             a        =  (546 x 38) / 281

                        = 20748281

                        = 74

74 teachers are required for a school of 546 students. 



8)  

 28 teachers are required for a school with a strength 239 students. How many teachers are required for a school of 462 students

Answer: 54


SOLUTION 1 :

Given:

No of teachersStrength of students
     28        239   (x)
       (a)        462   (y)

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

It is in direct variation.

So,   xy   =  Constant

   239462  =  28/a     

             a        =  (462 x 28) / 239

                        = 12936239

                        = 54

54 teachers are required for a school of 462 students. 



9)  

 29 teachers are required for a school with a strength 186 students. How many teachers are required for a school of 414 students

Answer: 65


SOLUTION 1 :

Given:

No of teachersStrength of students
     29        186   (x)
       (a)        414   (y)

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

It is in direct variation.

So,   xy   =  Constant

   186414  =  29/a     

             a        =  (414 x 29) / 186

                        = 12006186

                        = 65

65 teachers are required for a school of 414 students. 



10)  

 24 teachers are required for a school with a strength 245 students. How many teachers are required for a school of 492 students

Answer: 48


SOLUTION 1 :

Given:

No of teachersStrength of students
     24        245   (x)
       (a)        492   (y)

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

It is in direct variation.

So,   xy   =  Constant

   245492  =  24/a     

             a        =  (492 x 24) / 245

                        = 11808245

                        = 48

48 teachers are required for a school of 492 students.