Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4331)


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)  

 A book contains 119 pages. Each page has 23 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




2)  

 A book contains 106 pages. Each page has 20 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




3)  

 A book contains 106 pages. Each page has 21 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




4)  

 A book contains 135 pages. Each page has 20 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




5)  

 A book contains 140 pages. Each page has 24 lines. How many pages will the book contain if every page has 17 lines per page

pages


Answer:_______________




6)  

 A book contains 146 pages. Each page has 21 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




7)  

 A book contains 113 pages. Each page has 25 lines. How many pages will the book contain if every page has 16 lines per page

pages


Answer:_______________




8)  

 A book contains 117 pages. Each page has 25 lines. How many pages will the book contain if every page has 16 lines per page

pages


Answer:_______________




9)  

 A book contains 131 pages. Each page has 23 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




10)  

 A book contains 131 pages. Each page has 23 lines. How many pages will the book contain if every page has 16 lines per page

pages


Answer:_______________




 

1)  

 A book contains 119 pages. Each page has 23 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 211 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   119  (y)
       13        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        23 x  119 =  13 x a

              a           =  (23 x 119)/ 13

                           =   273713

                           =   211

If there are 13 lines in one page, then the No of pages in the book  = 211



2)  

 A book contains 106 pages. Each page has 20 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 193 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   106  (y)
       11        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        20 x  106 =  11 x a

              a           =  (20 x 106)/ 11

                           =   212011

                           =   193

If there are 11 lines in one page, then the No of pages in the book  = 193



3)  

 A book contains 106 pages. Each page has 21 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 148 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   106  (y)
       15        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        21 x  106 =  15 x a

              a           =  (21 x 106)/ 15

                           =   222615

                           =   148

If there are 15 lines in one page, then the No of pages in the book  = 148



4)  

 A book contains 135 pages. Each page has 20 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 180 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   135  (y)
       15        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        20 x  135 =  15 x a

              a           =  (20 x 135)/ 15

                           =   270015

                           =   180

If there are 15 lines in one page, then the No of pages in the book  = 180



5)  

 A book contains 140 pages. Each page has 24 lines. How many pages will the book contain if every page has 17 lines per page

Answer: 198 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   140  (y)
       17        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        24 x  140 =  17 x a

              a           =  (24 x 140)/ 17

                           =   336017

                           =   198

If there are 17 lines in one page, then the No of pages in the book  = 198



6)  

 A book contains 146 pages. Each page has 21 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 204 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   146  (y)
       15        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        21 x  146 =  15 x a

              a           =  (21 x 146)/ 15

                           =   306615

                           =   204

If there are 15 lines in one page, then the No of pages in the book  = 204



7)  

 A book contains 113 pages. Each page has 25 lines. How many pages will the book contain if every page has 16 lines per page

Answer: 177 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   113  (y)
       16        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        25 x  113 =  16 x a

              a           =  (25 x 113)/ 16

                           =   282516

                           =   177

If there are 16 lines in one page, then the No of pages in the book  = 177



8)  

 A book contains 117 pages. Each page has 25 lines. How many pages will the book contain if every page has 16 lines per page

Answer: 183 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   117  (y)
       16        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        25 x  117 =  16 x a

              a           =  (25 x 117)/ 16

                           =   292516

                           =   183

If there are 16 lines in one page, then the No of pages in the book  = 183



9)  

 A book contains 131 pages. Each page has 23 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 274 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   131  (y)
       11        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        23 x  131 =  11 x a

              a           =  (23 x 131)/ 11

                           =   301311

                           =   274

If there are 11 lines in one page, then the No of pages in the book  = 274



10)  

 A book contains 131 pages. Each page has 23 lines. How many pages will the book contain if every page has 16 lines per page

Answer: 188 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   131  (y)
       16        (a)

As the No of  lines per page decreases, No of pages increases .

It is in inverses variation

 So,  xy  =   Constant

        23 x  131 =  16 x a

              a           =  (23 x 131)/ 16

                           =   301316

                           =   188

If there are 16 lines in one page, then the No of pages in the book  = 188