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)  

14 boxes weight 38 kg. How much will 6 such boxes weight

kg


Answer:_______________




2)  

11 boxes weight 12 kg. How much will 5 such boxes weight

kg


Answer:_______________




3)  

15 boxes weight 19 kg. How much will 5 such boxes weight

kg


Answer:_______________




4)  

12 boxes weight 24 kg. How much will 4 such boxes weight

kg


Answer:_______________




5)  

13 boxes weight 14 kg. How much will 8 such boxes weight

kg


Answer:_______________




6)  

11 boxes weight 32 kg. How much will 2 such boxes weight

kg


Answer:_______________




7)  

12 boxes weight 17 kg. How much will 5 such boxes weight

kg


Answer:_______________




8)  

12 boxes weight 37 kg. How much will 6 such boxes weight

kg


Answer:_______________




9)  

12 boxes weight 30 kg. How much will 7 such boxes weight

kg


Answer:_______________




10)  

10 boxes weight 27 kg. How much will 2 such boxes weight

kg


Answer:_______________




 

1)  

14 boxes weight 38 kg. How much will 6 such boxes weight

Answer: 16 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    14 (x)    38 
     6 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          146  =   38a

                a          =  (6 x 38)14

                             =   22814

                            =   16



2)  

11 boxes weight 12 kg. How much will 5 such boxes weight

Answer: 5 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    11 (x)    12 
     5 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          115  =   12a

                a          =  (5 x 12)11

                             =   6011

                            =   5



3)  

15 boxes weight 19 kg. How much will 5 such boxes weight

Answer: 6 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    15 (x)    19 
     5 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          155  =   19a

                a          =  (5 x 19)15

                             =   9515

                            =   6



4)  

12 boxes weight 24 kg. How much will 4 such boxes weight

Answer: 8 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    12 (x)    24 
     4 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          124  =   24a

                a          =  (4 x 24)12

                             =   9612

                            =   8



5)  

13 boxes weight 14 kg. How much will 8 such boxes weight

Answer: 9 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    13 (x)    14 
     8 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          138  =   14a

                a          =  (8 x 14)13

                             =   11213

                            =   9



6)  

11 boxes weight 32 kg. How much will 2 such boxes weight

Answer: 6 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    11 (x)    32 
     2 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          112  =   32a

                a          =  (2 x 32)11

                             =   6411

                            =   6



7)  

12 boxes weight 17 kg. How much will 5 such boxes weight

Answer: 7 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    12 (x)    17 
     5 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          125  =   17a

                a          =  (5 x 17)12

                             =   8512

                            =   7



8)  

12 boxes weight 37 kg. How much will 6 such boxes weight

Answer: 19 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    12 (x)    37 
     6 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          126  =   37a

                a          =  (6 x 37)12

                             =   22212

                            =   19



9)  

12 boxes weight 30 kg. How much will 7 such boxes weight

Answer: 18 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    12 (x)    30 
     7 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          127  =   30a

                a          =  (7 x 30)12

                             =   21012

                            =   18



10)  

10 boxes weight 27 kg. How much will 2 such boxes weight

Answer: 5 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    10 (x)    27 
     2 (y)     (a)

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

It is in direct variation.

 So, xy  =  Constant

          102  =   27a

                a          =  (2 x 27)10

                             =   5410

                            =   5