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 122 pages. Each page has 22 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




2)  

 A book contains 138 pages. Each page has 21 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




3)  

 A book contains 105 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




4)  

 A book contains 100 pages. Each page has 24 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




5)  

 A book contains 111 pages. Each page has 25 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




6)  

 A book contains 119 pages. Each page has 25 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




7)  

 A book contains 134 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




8)  

 A book contains 147 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 122 pages. Each page has 23 lines. How many pages will the book contain if every page has 12 lines per page

pages


Answer:_______________




10)  

 A book contains 140 pages. Each page has 23 lines. How many pages will the book contain if every page has 18 lines per page

pages


Answer:_______________




 

1)  

 A book contains 122 pages. Each page has 22 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 206 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   122  (y)
       13        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        22 x  122 =  13 x a

              a           =  (22 x 122)/ 13

                           =   268413

                           =   206

If there are 13 lines in one page, then the No of pages in the book  = 206



2)  

 A book contains 138 pages. Each page has 21 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 193 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   138  (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  138 =  15 x a

              a           =  (21 x 138)/ 15

                           =   289815

                           =   193

If there are 15 lines in one page, then the No of pages in the book  = 193



3)  

 A book contains 105 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 170 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   105  (y)
       13        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        21 x  105 =  13 x a

              a           =  (21 x 105)/ 13

                           =   220513

                           =   170

If there are 13 lines in one page, then the No of pages in the book  = 170



4)  

 A book contains 100 pages. Each page has 24 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 218 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   100  (y)
       11        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        24 x  100 =  11 x a

              a           =  (24 x 100)/ 11

                           =   240011

                           =   218

If there are 11 lines in one page, then the No of pages in the book  = 218



5)  

 A book contains 111 pages. Each page has 25 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 198 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   111  (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  111 =  14 x a

              a           =  (25 x 111)/ 14

                           =   277514

                           =   198

If there are 14 lines in one page, then the No of pages in the book  = 198



6)  

 A book contains 119 pages. Each page has 25 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 198 pages


SOLUTION 1 :

Given :

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

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

It is in inverses variation

 So,  xy  =   Constant

        25 x  119 =  15 x a

              a           =  (25 x 119)/ 15

                           =   297515

                           =   198

If there are 15 lines in one page, then the No of pages in the book  = 198



7)  

 A book contains 134 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 216 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   134  (y)
       13        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        21 x  134 =  13 x a

              a           =  (21 x 134)/ 13

                           =   281413

                           =   216

If there are 13 lines in one page, then the No of pages in the book  = 216



8)  

 A book contains 147 pages. Each page has 25 lines. How many pages will the book contain if every page has 16 lines per page

Answer: 230 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   147  (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  147 =  16 x a

              a           =  (25 x 147)/ 16

                           =   367516

                           =   230

If there are 16 lines in one page, then the No of pages in the book  = 230



9)  

 A book contains 122 pages. Each page has 23 lines. How many pages will the book contain if every page has 12 lines per page

Answer: 234 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   122  (y)
       12        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        23 x  122 =  12 x a

              a           =  (23 x 122)/ 12

                           =   280612

                           =   234

If there are 12 lines in one page, then the No of pages in the book  = 234



10)  

 A book contains 140 pages. Each page has 23 lines. How many pages will the book contain if every page has 18 lines per page

Answer: 179 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   140  (y)
       18        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        23 x  140 =  18 x a

              a           =  (23 x 140)/ 18

                           =   322018

                           =   179

If there are 18 lines in one page, then the No of pages in the book  = 179