Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4330)


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)  

 7 men can complete a work in 23 days. In how many days will 12 men finish the same work

days


Answer:_______________




2)  

 4 men can complete a work in 34 days. In how many days will 10 men finish the same work

days


Answer:_______________




3)  

 2 men can complete a work in 23 days. In how many days will 10 men finish the same work

days


Answer:_______________




4)  

 7 men can complete a work in 36 days. In how many days will 11 men finish the same work

days


Answer:_______________




5)  

 6 men can complete a work in 39 days. In how many days will 10 men finish the same work

days


Answer:_______________




6)  

 6 men can complete a work in 36 days. In how many days will 10 men finish the same work

days


Answer:_______________




7)  

 6 men can complete a work in 37 days. In how many days will 12 men finish the same work

days


Answer:_______________




8)  

 3 men can complete a work in 30 days. In how many days will 8 men finish the same work

days


Answer:_______________




9)  

 4 men can complete a work in 34 days. In how many days will 8 men finish the same work

days


Answer:_______________




10)  

 6 men can complete a work in 31 days. In how many days will 12 men finish the same work

days


Answer:_______________




 

1)  

 7 men can complete a work in 23 days. In how many days will 12 men finish the same work

Answer: 13 days


SOLUTION 1 :

Given:

No of menNo of days
    7    (x)    23   (y}
     12       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            7 x 23  =  12 x a

                                     a         =(7x 23)/ 12

                                                  = 16112

                                                   = 13

12 men can complete  the work in 13  days



2)  

 4 men can complete a work in 34 days. In how many days will 10 men finish the same work

Answer: 14 days


SOLUTION 1 :

Given:

No of menNo of days
    4    (x)    34   (y}
     10       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            4 x 34  =  10 x a

                                     a         =(4x 34)/ 10

                                                  = 13610

                                                   = 14

10 men can complete  the work in 14  days



3)  

 2 men can complete a work in 23 days. In how many days will 10 men finish the same work

Answer: 5 days


SOLUTION 1 :

Given:

No of menNo of days
    2    (x)    23   (y}
     10       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            2 x 23  =  10 x a

                                     a         =(2x 23)/ 10

                                                  = 4610

                                                   = 5

10 men can complete  the work in 5  days



4)  

 7 men can complete a work in 36 days. In how many days will 11 men finish the same work

Answer: 23 days


SOLUTION 1 :

Given:

No of menNo of days
    7    (x)    36   (y}
     11       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            7 x 36  =  11 x a

                                     a         =(7x 36)/ 11

                                                  = 25211

                                                   = 23

11 men can complete  the work in 23  days



5)  

 6 men can complete a work in 39 days. In how many days will 10 men finish the same work

Answer: 23 days


SOLUTION 1 :

Given:

No of menNo of days
    6    (x)    39   (y}
     10       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            6 x 39  =  10 x a

                                     a         =(6x 39)/ 10

                                                  = 23410

                                                   = 23

10 men can complete  the work in 23  days



6)  

 6 men can complete a work in 36 days. In how many days will 10 men finish the same work

Answer: 22 days


SOLUTION 1 :

Given:

No of menNo of days
    6    (x)    36   (y}
     10       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            6 x 36  =  10 x a

                                     a         =(6x 36)/ 10

                                                  = 21610

                                                   = 22

10 men can complete  the work in 22  days



7)  

 6 men can complete a work in 37 days. In how many days will 12 men finish the same work

Answer: 19 days


SOLUTION 1 :

Given:

No of menNo of days
    6    (x)    37   (y}
     12       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            6 x 37  =  12 x a

                                     a         =(6x 37)/ 12

                                                  = 22212

                                                   = 19

12 men can complete  the work in 19  days



8)  

 3 men can complete a work in 30 days. In how many days will 8 men finish the same work

Answer: 11 days


SOLUTION 1 :

Given:

No of menNo of days
    3    (x)    30   (y}
     8       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            3 x 30  =  8 x a

                                     a         =(3x 30)/ 8

                                                  = 908

                                                   = 11

8 men can complete  the work in 11  days



9)  

 4 men can complete a work in 34 days. In how many days will 8 men finish the same work

Answer: 17 days


SOLUTION 1 :

Given:

No of menNo of days
    4    (x)    34   (y}
     8       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            4 x 34  =  8 x a

                                     a         =(4x 34)/ 8

                                                  = 1368

                                                   = 17

8 men can complete  the work in 17  days



10)  

 6 men can complete a work in 31 days. In how many days will 12 men finish the same work

Answer: 16 days


SOLUTION 1 :

Given:

No of menNo of days
    6    (x)    31   (y}
     12       (a)

As the No of men increases, N of days decreases, inverse variation

In inverse variation, xy  = Constant

                            6 x 31  =  12 x a

                                     a         =(6x 31)/ 12

                                                  = 18612

                                                   = 16

12 men can complete  the work in 16  days