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 125 pages. Each page has 24 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




2)  

 A book contains 125 pages. Each page has 20 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




3)  

 A book contains 128 pages. Each page has 25 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




4)  

 A book contains 150 pages. Each page has 21 lines. How many pages will the book contain if every page has 12 lines per page

pages


Answer:_______________




5)  

 A book contains 131 pages. Each page has 21 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




6)  

 A book contains 114 pages. Each page has 24 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




7)  

 A book contains 135 pages. Each page has 22 lines. How many pages will the book contain if every page has 10 lines per page

pages


Answer:_______________




8)  

 A book contains 103 pages. Each page has 22 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




9)  

 A book contains 138 pages. Each page has 25 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




10)  

 A book contains 101 pages. Each page has 21 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




 

1)  

 A book contains 125 pages. Each page has 24 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 231 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   125  (y)
       13        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        24 x  125 =  13 x a

              a           =  (24 x 125)/ 13

                           =   300013

                           =   231

If there are 13 lines in one page, then the No of pages in the book  = 231



2)  

 A book contains 125 pages. Each page has 20 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 179 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   125  (y)
       14        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        20 x  125 =  14 x a

              a           =  (20 x 125)/ 14

                           =   250014

                           =   179

If there are 14 lines in one page, then the No of pages in the book  = 179



3)  

 A book contains 128 pages. Each page has 25 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 291 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   128  (y)
       11        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        25 x  128 =  11 x a

              a           =  (25 x 128)/ 11

                           =   320011

                           =   291

If there are 11 lines in one page, then the No of pages in the book  = 291



4)  

 A book contains 150 pages. Each page has 21 lines. How many pages will the book contain if every page has 12 lines per page

Answer: 263 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   150  (y)
       12        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        21 x  150 =  12 x a

              a           =  (21 x 150)/ 12

                           =   315012

                           =   263

If there are 12 lines in one page, then the No of pages in the book  = 263



5)  

 A book contains 131 pages. Each page has 21 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 250 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (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

        21 x  131 =  11 x a

              a           =  (21 x 131)/ 11

                           =   275111

                           =   250

If there are 11 lines in one page, then the No of pages in the book  = 250



6)  

 A book contains 114 pages. Each page has 24 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 195 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   114  (y)
       14        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        24 x  114 =  14 x a

              a           =  (24 x 114)/ 14

                           =   273614

                           =   195

If there are 14 lines in one page, then the No of pages in the book  = 195



7)  

 A book contains 135 pages. Each page has 22 lines. How many pages will the book contain if every page has 10 lines per page

Answer: 297 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   135  (y)
       10        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        22 x  135 =  10 x a

              a           =  (22 x 135)/ 10

                           =   297010

                           =   297

If there are 10 lines in one page, then the No of pages in the book  = 297



8)  

 A book contains 103 pages. Each page has 22 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 206 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   103  (y)
       11        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        22 x  103 =  11 x a

              a           =  (22 x 103)/ 11

                           =   226611

                           =   206

If there are 11 lines in one page, then the No of pages in the book  = 206



9)  

 A book contains 138 pages. Each page has 25 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 246 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   138  (y)
       14        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        25 x  138 =  14 x a

              a           =  (25 x 138)/ 14

                           =   345014

                           =   246

If there are 14 lines in one page, then the No of pages in the book  = 246



10)  

 A book contains 101 pages. Each page has 21 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 152 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   101  (y)
       14        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        21 x  101 =  14 x a

              a           =  (21 x 101)/ 14

                           =   212114

                           =   152

If there are 14 lines in one page, then the No of pages in the book  = 152