Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4334)


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)  

11 boxes weight 13 kg. How much will 3 such boxes weight

kg


Answer:_______________




2)  

13 boxes weight 11 kg. How much will 6 such boxes weight

kg


Answer:_______________




3)  

13 boxes weight 36 kg. How much will 5 such boxes weight

kg


Answer:_______________




4)  

15 boxes weight 11 kg. How much will 6 such boxes weight

kg


Answer:_______________




5)  

11 boxes weight 26 kg. How much will 7 such boxes weight

kg


Answer:_______________




6)  

15 boxes weight 33 kg. How much will 8 such boxes weight

kg


Answer:_______________




7)  

10 boxes weight 29 kg. How much will 7 such boxes weight

kg


Answer:_______________




8)  

14 boxes weight 26 kg. How much will 7 such boxes weight

kg


Answer:_______________




9)  

14 boxes weight 32 kg. How much will 5 such boxes weight

kg


Answer:_______________




10)  

10 boxes weight 13 kg. How much will 3 such boxes weight

kg


Answer:_______________




 

1)  

11 boxes weight 13 kg. How much will 3 such boxes weight

Answer: 4 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    11 (x)    13 
     3 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          113  =   13a

                a          =  (3 x 13)11

                             =   3911

                            =   4



2)  

13 boxes weight 11 kg. How much will 6 such boxes weight

Answer: 5 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    13 (x)    11 
     6 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          136  =   11a

                a          =  (6 x 11)13

                             =   6613

                            =   5



3)  

13 boxes weight 36 kg. How much will 5 such boxes weight

Answer: 14 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    13 (x)    36 
     5 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          135  =   36a

                a          =  (5 x 36)13

                             =   18013

                            =   14



4)  

15 boxes weight 11 kg. How much will 6 such boxes weight

Answer: 4 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    15 (x)    11 
     6 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          156  =   11a

                a          =  (6 x 11)15

                             =   6615

                            =   4



5)  

11 boxes weight 26 kg. How much will 7 such boxes weight

Answer: 17 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    11 (x)    26 
     7 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          117  =   26a

                a          =  (7 x 26)11

                             =   18211

                            =   17



6)  

15 boxes weight 33 kg. How much will 8 such boxes weight

Answer: 18 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    15 (x)    33 
     8 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          158  =   33a

                a          =  (8 x 33)15

                             =   26415

                            =   18



7)  

10 boxes weight 29 kg. How much will 7 such boxes weight

Answer: 20 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    10 (x)    29 
     7 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          107  =   29a

                a          =  (7 x 29)10

                             =   20310

                            =   20



8)  

14 boxes weight 26 kg. How much will 7 such boxes weight

Answer: 13 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    14 (x)    26 
     7 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          147  =   26a

                a          =  (7 x 26)14

                             =   18214

                            =   13



9)  

14 boxes weight 32 kg. How much will 5 such boxes weight

Answer: 11 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    14 (x)    32 
     5 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          145  =   32a

                a          =  (5 x 32)14

                             =   16014

                            =   11



10)  

10 boxes weight 13 kg. How much will 3 such boxes weight

Answer: 4 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    10 (x)    13 
     3 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          103  =   13a

                a          =  (3 x 13)10

                             =   3910

                            =   4