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 25 lines. How many pages will the book contain if every page has 10 lines per page

pages


Answer:_______________




2)  

 A book contains 133 pages. Each page has 23 lines. How many pages will the book contain if every page has 10 lines per page

pages


Answer:_______________




3)  

 A book contains 113 pages. Each page has 20 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




4)  

 A book contains 143 pages. Each page has 22 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




5)  

 A book contains 136 pages. Each page has 25 lines. How many pages will the book contain if every page has 18 lines per page

pages


Answer:_______________




6)  

 A book contains 105 pages. Each page has 21 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




7)  

 A book contains 132 pages. Each page has 24 lines. How many pages will the book contain if every page has 16 lines per page

pages


Answer:_______________




8)  

 A book contains 104 pages. Each page has 23 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




9)  

 A book contains 142 pages. Each page has 24 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




10)  

 A book contains 124 pages. Each page has 20 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




 

1)  

 A book contains 119 pages. Each page has 25 lines. How many pages will the book contain if every page has 10 lines per page

Answer: 298 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   119  (y)
       10        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        25 x  119 =  10 x a

              a           =  (25 x 119)/ 10

                           =   297510

                           =   298

If there are 10 lines in one page, then the No of pages in the book  = 298



2)  

 A book contains 133 pages. Each page has 23 lines. How many pages will the book contain if every page has 10 lines per page

Answer: 306 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   133  (y)
       10        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        23 x  133 =  10 x a

              a           =  (23 x 133)/ 10

                           =   305910

                           =   306

If there are 10 lines in one page, then the No of pages in the book  = 306



3)  

 A book contains 113 pages. Each page has 20 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 151 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   113  (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  113 =  15 x a

              a           =  (20 x 113)/ 15

                           =   226015

                           =   151

If there are 15 lines in one page, then the No of pages in the book  = 151



4)  

 A book contains 143 pages. Each page has 22 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 225 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   143  (y)
       14        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        22 x  143 =  14 x a

              a           =  (22 x 143)/ 14

                           =   314614

                           =   225

If there are 14 lines in one page, then the No of pages in the book  = 225



5)  

 A book contains 136 pages. Each page has 25 lines. How many pages will the book contain if every page has 18 lines per page

Answer: 189 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   136  (y)
       18        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        25 x  136 =  18 x a

              a           =  (25 x 136)/ 18

                           =   340018

                           =   189

If there are 18 lines in one page, then the No of pages in the book  = 189



6)  

 A book contains 105 pages. Each page has 21 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 200 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   105  (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  105 =  11 x a

              a           =  (21 x 105)/ 11

                           =   220511

                           =   200

If there are 11 lines in one page, then the No of pages in the book  = 200



7)  

 A book contains 132 pages. Each page has 24 lines. How many pages will the book contain if every page has 16 lines per page

Answer: 198 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   132  (y)
       16        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        24 x  132 =  16 x a

              a           =  (24 x 132)/ 16

                           =   316816

                           =   198

If there are 16 lines in one page, then the No of pages in the book  = 198



8)  

 A book contains 104 pages. Each page has 23 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 217 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   104  (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  104 =  11 x a

              a           =  (23 x 104)/ 11

                           =   239211

                           =   217

If there are 11 lines in one page, then the No of pages in the book  = 217



9)  

 A book contains 142 pages. Each page has 24 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 262 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   142  (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  142 =  13 x a

              a           =  (24 x 142)/ 13

                           =   340813

                           =   262

If there are 13 lines in one page, then the No of pages in the book  = 262



10)  

 A book contains 124 pages. Each page has 20 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 225 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   124  (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  124 =  11 x a

              a           =  (20 x 124)/ 11

                           =   248011

                           =   225

If there are 11 lines in one page, then the No of pages in the book  = 225