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

pages


Answer:_______________




2)  

 A book contains 133 pages. Each page has 20 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




3)  

 A book contains 146 pages. Each page has 20 lines. How many pages will the book contain if every page has 12 lines per page

pages


Answer:_______________




4)  

 A book contains 121 pages. Each page has 25 lines. How many pages will the book contain if every page has 16 lines per page

pages


Answer:_______________




5)  

 A book contains 144 pages. Each page has 22 lines. How many pages will the book contain if every page has 18 lines per page

pages


Answer:_______________




6)  

 A book contains 111 pages. Each page has 21 lines. How many pages will the book contain if every page has 15 lines per page

pages


Answer:_______________




7)  

 A book contains 102 pages. Each page has 21 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




8)  

 A book contains 101 pages. Each page has 20 lines. How many pages will the book contain if every page has 12 lines per page

pages


Answer:_______________




9)  

 A book contains 119 pages. Each page has 21 lines. How many pages will the book contain if every page has 17 lines per page

pages


Answer:_______________




10)  

 A book contains 121 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




 

1)  

 A book contains 119 pages. Each page has 22 lines. How many pages will the book contain if every page has 12 lines per page

Answer: 218 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   119  (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  119 =  12 x a

              a           =  (22 x 119)/ 12

                           =   261812

                           =   218

If there are 12 lines in one page, then the No of pages in the book  = 218



2)  

 A book contains 133 pages. Each page has 20 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 190 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   133  (y)
       14        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        20 x  133 =  14 x a

              a           =  (20 x 133)/ 14

                           =   266014

                           =   190

If there are 14 lines in one page, then the No of pages in the book  = 190



3)  

 A book contains 146 pages. Each page has 20 lines. How many pages will the book contain if every page has 12 lines per page

Answer: 243 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   146  (y)
       12        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        20 x  146 =  12 x a

              a           =  (20 x 146)/ 12

                           =   292012

                           =   243

If there are 12 lines in one page, then the No of pages in the book  = 243



4)  

 A book contains 121 pages. Each page has 25 lines. How many pages will the book contain if every page has 16 lines per page

Answer: 189 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   121  (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  121 =  16 x a

              a           =  (25 x 121)/ 16

                           =   302516

                           =   189

If there are 16 lines in one page, then the No of pages in the book  = 189



5)  

 A book contains 144 pages. Each page has 22 lines. How many pages will the book contain if every page has 18 lines per page

Answer: 176 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   144  (y)
       18        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        22 x  144 =  18 x a

              a           =  (22 x 144)/ 18

                           =   316818

                           =   176

If there are 18 lines in one page, then the No of pages in the book  = 176



6)  

 A book contains 111 pages. Each page has 21 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 155 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   111  (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  111 =  15 x a

              a           =  (21 x 111)/ 15

                           =   233115

                           =   155

If there are 15 lines in one page, then the No of pages in the book  = 155



7)  

 A book contains 102 pages. Each page has 21 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 195 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   102  (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  102 =  11 x a

              a           =  (21 x 102)/ 11

                           =   214211

                           =   195

If there are 11 lines in one page, then the No of pages in the book  = 195



8)  

 A book contains 101 pages. Each page has 20 lines. How many pages will the book contain if every page has 12 lines per page

Answer: 168 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   101  (y)
       12        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        20 x  101 =  12 x a

              a           =  (20 x 101)/ 12

                           =   202012

                           =   168

If there are 12 lines in one page, then the No of pages in the book  = 168



9)  

 A book contains 119 pages. Each page has 21 lines. How many pages will the book contain if every page has 17 lines per page

Answer: 147 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (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

        21 x  119 =  17 x a

              a           =  (21 x 119)/ 17

                           =   249917

                           =   147

If there are 17 lines in one page, then the No of pages in the book  = 147



10)  

 A book contains 121 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 195 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   121  (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  121 =  13 x a

              a           =  (21 x 121)/ 13

                           =   254113

                           =   195

If there are 13 lines in one page, then the No of pages in the book  = 195