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

pages


Answer:_______________




2)  

 A book contains 118 pages. Each page has 22 lines. How many pages will the book contain if every page has 16 lines per page

pages


Answer:_______________




3)  

 A book contains 104 pages. Each page has 21 lines. How many pages will the book contain if every page has 17 lines per page

pages


Answer:_______________




4)  

 A book contains 113 pages. Each page has 21 lines. How many pages will the book contain if every page has 18 lines per page

pages


Answer:_______________




5)  

 A book contains 129 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




6)  

 A book contains 118 pages. Each page has 20 lines. How many pages will the book contain if every page has 16 lines per page

pages


Answer:_______________




7)  

 A book contains 136 pages. Each page has 22 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




8)  

 A book contains 107 pages. Each page has 22 lines. How many pages will the book contain if every page has 10 lines per page

pages


Answer:_______________




9)  

 A book contains 114 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 22 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




 

1)  

 A book contains 149 pages. Each page has 20 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 199 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   149  (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  149 =  15 x a

              a           =  (20 x 149)/ 15

                           =   298015

                           =   199

If there are 15 lines in one page, then the No of pages in the book  = 199



2)  

 A book contains 118 pages. Each page has 22 lines. How many pages will the book contain if every page has 16 lines per page

Answer: 162 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   118  (y)
       16        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        22 x  118 =  16 x a

              a           =  (22 x 118)/ 16

                           =   259616

                           =   162

If there are 16 lines in one page, then the No of pages in the book  = 162



3)  

 A book contains 104 pages. Each page has 21 lines. How many pages will the book contain if every page has 17 lines per page

Answer: 128 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   104  (y)
       17        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        21 x  104 =  17 x a

              a           =  (21 x 104)/ 17

                           =   218417

                           =   128

If there are 17 lines in one page, then the No of pages in the book  = 128



4)  

 A book contains 113 pages. Each page has 21 lines. How many pages will the book contain if every page has 18 lines per page

Answer: 132 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   113  (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  113 =  18 x a

              a           =  (21 x 113)/ 18

                           =   237318

                           =   132

If there are 18 lines in one page, then the No of pages in the book  = 132



5)  

 A book contains 129 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 208 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   129  (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  129 =  13 x a

              a           =  (21 x 129)/ 13

                           =   270913

                           =   208

If there are 13 lines in one page, then the No of pages in the book  = 208



6)  

 A book contains 118 pages. Each page has 20 lines. How many pages will the book contain if every page has 16 lines per page

Answer: 148 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   118  (y)
       16        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        20 x  118 =  16 x a

              a           =  (20 x 118)/ 16

                           =   236016

                           =   148

If there are 16 lines in one page, then the No of pages in the book  = 148



7)  

 A book contains 136 pages. Each page has 22 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 272 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   136  (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  136 =  11 x a

              a           =  (22 x 136)/ 11

                           =   299211

                           =   272

If there are 11 lines in one page, then the No of pages in the book  = 272



8)  

 A book contains 107 pages. Each page has 22 lines. How many pages will the book contain if every page has 10 lines per page

Answer: 235 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   107  (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  107 =  10 x a

              a           =  (22 x 107)/ 10

                           =   235410

                           =   235

If there are 10 lines in one page, then the No of pages in the book  = 235



9)  

 A book contains 114 pages. Each page has 24 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 182 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   114  (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  114 =  15 x a

              a           =  (24 x 114)/ 15

                           =   273615

                           =   182

If there are 15 lines in one page, then the No of pages in the book  = 182



10)  

 A book contains 119 pages. Each page has 22 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 201 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   119  (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  119 =  13 x a

              a           =  (22 x 119)/ 13

                           =   261813

                           =   201

If there are 13 lines in one page, then the No of pages in the book  = 201