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

pages


Answer:_______________




2)  

 A book contains 106 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 131 pages. Each page has 25 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




4)  

 A book contains 128 pages. Each page has 20 lines. How many pages will the book contain if every page has 10 lines per page

pages


Answer:_______________




5)  

 A book contains 134 pages. Each page has 24 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




6)  

 A book contains 108 pages. Each page has 22 lines. How many pages will the book contain if every page has 12 lines per page

pages


Answer:_______________




7)  

 A book contains 134 pages. Each page has 23 lines. How many pages will the book contain if every page has 10 lines per page

pages


Answer:_______________




8)  

 A book contains 110 pages. Each page has 21 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




9)  

 A book contains 113 pages. Each page has 24 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




10)  

 A book contains 119 pages. Each page has 20 lines. How many pages will the book contain if every page has 17 lines per page

pages


Answer:_______________




 

1)  

 A book contains 144 pages. Each page has 24 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 247 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   144  (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  144 =  14 x a

              a           =  (24 x 144)/ 14

                           =   345614

                           =   247

If there are 14 lines in one page, then the No of pages in the book  = 247



2)  

 A book contains 106 pages. Each page has 23 lines. How many pages will the book contain if every page has 10 lines per page

Answer: 244 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   106  (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  106 =  10 x a

              a           =  (23 x 106)/ 10

                           =   243810

                           =   244

If there are 10 lines in one page, then the No of pages in the book  = 244



3)  

 A book contains 131 pages. Each page has 25 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 252 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   131  (y)
       13        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        25 x  131 =  13 x a

              a           =  (25 x 131)/ 13

                           =   327513

                           =   252

If there are 13 lines in one page, then the No of pages in the book  = 252



4)  

 A book contains 128 pages. Each page has 20 lines. How many pages will the book contain if every page has 10 lines per page

Answer: 256 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   128  (y)
       10        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        20 x  128 =  10 x a

              a           =  (20 x 128)/ 10

                           =   256010

                           =   256

If there are 10 lines in one page, then the No of pages in the book  = 256



5)  

 A book contains 134 pages. Each page has 24 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 214 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   134  (y)
       15        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        24 x  134 =  15 x a

              a           =  (24 x 134)/ 15

                           =   321615

                           =   214

If there are 15 lines in one page, then the No of pages in the book  = 214



6)  

 A book contains 108 pages. Each page has 22 lines. How many pages will the book contain if every page has 12 lines per page

Answer: 198 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   108  (y)
       12        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        22 x  108 =  12 x a

              a           =  (22 x 108)/ 12

                           =   237612

                           =   198

If there are 12 lines in one page, then the No of pages in the book  = 198



7)  

 A book contains 134 pages. Each page has 23 lines. How many pages will the book contain if every page has 10 lines per page

Answer: 308 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   134  (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  134 =  10 x a

              a           =  (23 x 134)/ 10

                           =   308210

                           =   308

If there are 10 lines in one page, then the No of pages in the book  = 308



8)  

 A book contains 110 pages. Each page has 21 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 210 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   110  (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  110 =  11 x a

              a           =  (21 x 110)/ 11

                           =   231011

                           =   210

If there are 11 lines in one page, then the No of pages in the book  = 210



9)  

 A book contains 113 pages. Each page has 24 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 181 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (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

        24 x  113 =  15 x a

              a           =  (24 x 113)/ 15

                           =   271215

                           =   181

If there are 15 lines in one page, then the No of pages in the book  = 181



10)  

 A book contains 119 pages. Each page has 20 lines. How many pages will the book contain if every page has 17 lines per page

Answer: 140 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   119  (y)
       17        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        20 x  119 =  17 x a

              a           =  (20 x 119)/ 17

                           =   238017

                           =   140

If there are 17 lines in one page, then the No of pages in the book  = 140