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

pages


Answer:_______________




2)  

 A book contains 139 pages. Each page has 20 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




3)  

 A book contains 121 pages. Each page has 24 lines. How many pages will the book contain if every page has 17 lines per page

pages


Answer:_______________




4)  

 A book contains 135 pages. Each page has 21 lines. How many pages will the book contain if every page has 14 lines per page

pages


Answer:_______________




5)  

 A book contains 133 pages. Each page has 21 lines. How many pages will the book contain if every page has 17 lines per page

pages


Answer:_______________




6)  

 A book contains 149 pages. Each page has 22 lines. How many pages will the book contain if every page has 18 lines per page

pages


Answer:_______________




7)  

 A book contains 121 pages. Each page has 25 lines. How many pages will the book contain if every page has 18 lines per page

pages


Answer:_______________




8)  

 A book contains 141 pages. Each page has 24 lines. How many pages will the book contain if every page has 11 lines per page

pages


Answer:_______________




9)  

 A book contains 101 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

pages


Answer:_______________




10)  

 A book contains 124 pages. Each page has 23 lines. How many pages will the book contain if every page has 16 lines per page

pages


Answer:_______________




 

1)  

 A book contains 131 pages. Each page has 21 lines. How many pages will the book contain if every page has 15 lines per page

Answer: 183 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (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

        21 x  131 =  15 x a

              a           =  (21 x 131)/ 15

                           =   275115

                           =   183

If there are 15 lines in one page, then the No of pages in the book  = 183



2)  

 A book contains 139 pages. Each page has 20 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 253 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       20     (x)   139  (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  139 =  11 x a

              a           =  (20 x 139)/ 11

                           =   278011

                           =   253

If there are 11 lines in one page, then the No of pages in the book  = 253



3)  

 A book contains 121 pages. Each page has 24 lines. How many pages will the book contain if every page has 17 lines per page

Answer: 171 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   121  (y)
       17        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        24 x  121 =  17 x a

              a           =  (24 x 121)/ 17

                           =   290417

                           =   171

If there are 17 lines in one page, then the No of pages in the book  = 171



4)  

 A book contains 135 pages. Each page has 21 lines. How many pages will the book contain if every page has 14 lines per page

Answer: 203 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   135  (y)
       14        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        21 x  135 =  14 x a

              a           =  (21 x 135)/ 14

                           =   283514

                           =   203

If there are 14 lines in one page, then the No of pages in the book  = 203



5)  

 A book contains 133 pages. Each page has 21 lines. How many pages will the book contain if every page has 17 lines per page

Answer: 164 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   133  (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  133 =  17 x a

              a           =  (21 x 133)/ 17

                           =   279317

                           =   164

If there are 17 lines in one page, then the No of pages in the book  = 164



6)  

 A book contains 149 pages. Each page has 22 lines. How many pages will the book contain if every page has 18 lines per page

Answer: 182 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       22     (x)   149  (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  149 =  18 x a

              a           =  (22 x 149)/ 18

                           =   327818

                           =   182

If there are 18 lines in one page, then the No of pages in the book  = 182



7)  

 A book contains 121 pages. Each page has 25 lines. How many pages will the book contain if every page has 18 lines per page

Answer: 168 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       25     (x)   121  (y)
       18        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        25 x  121 =  18 x a

              a           =  (25 x 121)/ 18

                           =   302518

                           =   168

If there are 18 lines in one page, then the No of pages in the book  = 168



8)  

 A book contains 141 pages. Each page has 24 lines. How many pages will the book contain if every page has 11 lines per page

Answer: 308 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       24     (x)   141  (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  141 =  11 x a

              a           =  (24 x 141)/ 11

                           =   338411

                           =   308

If there are 11 lines in one page, then the No of pages in the book  = 308



9)  

 A book contains 101 pages. Each page has 21 lines. How many pages will the book contain if every page has 13 lines per page

Answer: 163 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       21     (x)   101  (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  101 =  13 x a

              a           =  (21 x 101)/ 13

                           =   212113

                           =   163

If there are 13 lines in one page, then the No of pages in the book  = 163



10)  

 A book contains 124 pages. Each page has 23 lines. How many pages will the book contain if every page has 16 lines per page

Answer: 178 pages


SOLUTION 1 :

Given :

No of lines per pageNo of pages
       23     (x)   124  (y)
       16        (a)

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

It is in inverses variation

 So,  xy  =   Constant

        23 x  124 =  16 x a

              a           =  (23 x 124)/ 16

                           =   285216

                           =   178

If there are 16 lines in one page, then the No of pages in the book  = 178