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

pages


Answer:_______________




2)  

 A book contains 120 pages. Each page has 25 lines. How many pages will the book contain if every page has 16 lines per page

pages


Answer:_______________




3)  

 A book contains 103 pages. Each page has 25 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




4)  

 A book contains 108 pages. Each page has 22 lines. How many pages will the book contain if every page has 17 lines per page

pages


Answer:_______________




5)  

 A book contains 131 pages. Each page has 25 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




6)  

 A book contains 132 pages. Each page has 21 lines. How many pages will the book contain if every page has 18 lines per page

pages


Answer:_______________




7)  

 A book contains 129 pages. Each page has 20 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




8)  

 A book contains 126 pages. Each page has 24 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




9)  

 A book contains 124 pages. Each page has 24 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




10)  

 A book contains 125 pages. Each page has 23 lines. How many pages will the book contain if every page has 12 lines per page

pages


Answer:_______________




 

1)  

 A book contains 146 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 236 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   146  (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  146 =  13 x a

              a           =  (21 x 146)/ 13

                           =   306613

                           =   236

If there are 13 lines in one page, then the No of pages in the book  = 236



2)  

 A book contains 120 pages. Each page has 25 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
       25     (x)   120  (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  120 =  16 x a

              a           =  (25 x 120)/ 16

                           =   300016

                           =   188

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



3)  

 A book contains 103 pages. Each page has 25 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 172 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   103  (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  103 =  15 x a

              a           =  (25 x 103)/ 15

                           =   257515

                           =   172

If there are 15 lines in one page, then the No of pages in the book  = 172



4)  

 A book contains 108 pages. Each page has 22 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
       22     (x)   108  (y)
       17        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        22 x  108 =  17 x a

              a           =  (22 x 108)/ 17

                           =   237617

                           =   140

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



5)  

 A book contains 131 pages. Each page has 25 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 218 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   131  (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  131 =  15 x a

              a           =  (25 x 131)/ 15

                           =   327515

                           =   218

If there are 15 lines in one page, then the No of pages in the book  = 218



6)  

 A book contains 132 pages. Each page has 21 lines. How many pages will the book contain if every page has 18 lines per page

Answer: 154 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   132  (y)
       18        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        21 x  132 =  18 x a

              a           =  (21 x 132)/ 18

                           =   277218

                           =   154

If there are 18 lines in one page, then the No of pages in the book  = 154



7)  

 A book contains 129 pages. Each page has 20 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 235 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   129  (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  129 =  11 x a

              a           =  (20 x 129)/ 11

                           =   258011

                           =   235

If there are 11 lines in one page, then the No of pages in the book  = 235



8)  

 A book contains 126 pages. Each page has 24 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 216 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   126  (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  126 =  14 x a

              a           =  (24 x 126)/ 14

                           =   302414

                           =   216

If there are 14 lines in one page, then the No of pages in the book  = 216



9)  

 A book contains 124 pages. Each page has 24 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 213 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   124  (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  124 =  14 x a

              a           =  (24 x 124)/ 14

                           =   297614

                           =   213

If there are 14 lines in one page, then the No of pages in the book  = 213



10)  

 A book contains 125 pages. Each page has 23 lines. How many pages will the book contain if every page has 12 lines per page

Answer: 240 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   125  (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  125 =  12 x a

              a           =  (23 x 125)/ 12

                           =   287512

                           =   240

If there are 12 lines in one page, then the No of pages in the book  = 240