Scroll:Everyday Arithmetic >> ratio,proportion,direct variation >> saq (4524)


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)  

 Divide 340 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




2)  

 Divide 350 in the ratio 2 : 5

2 parts

5 parts


Answer:_______________




3)  

 Divide 400 in the ratio 3 : 7

3 parts

7 parts


Answer:_______________




4)  

 Divide 360 in the ratio 2 : 8

2 parts

8 parts


Answer:_______________




5)  

 Divide 470 in the ratio 2 : 8

2 parts

8 parts


Answer:_______________




6)  

 Divide 320 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




7)  

 Divide 380 in the ratio 4 : 5

4 parts

5 parts


Answer:_______________




8)  

 Divide 480 in the ratio 3 : 7

3 parts

7 parts


Answer:_______________




9)  

 Divide 470 in the ratio 4 : 7

4 parts

7 parts


Answer:_______________




10)  

 Divide 230 in the ratio 4 : 8

4 parts

8 parts


Answer:_______________




 

1)  

 Divide 340 in the ratio 2 : 6

2 parts Answer: 85

6 parts Answer: 255


SOLUTION 1 :

Given  :

 2 : 6 means the first quantity is 2 parts and the second parts quantity in 6 parts.

The total number of parts =  2+6

                                              =8

        8 parts =  340

         1 parts    =   3408

                         =42.5

2 parts    =  2 x 42.5

                      = 85

6 parts   =  6 x 42.5

                    =  255



2)  

 Divide 350 in the ratio 2 : 5

2 parts Answer: 100

5 parts Answer: 250


SOLUTION 1 :

Given  :

 2 : 5 means the first quantity is 2 parts and the second parts quantity in 5 parts.

The total number of parts =  2+5

                                              =7

        7 parts =  350

         1 parts    =   3507

                         =50

2 parts    =  2 x 50

                      = 100

5 parts   =  5 x 50

                    =  250



3)  

 Divide 400 in the ratio 3 : 7

3 parts Answer: 120

7 parts Answer: 280


SOLUTION 1 :

Given  :

 3 : 7 means the first quantity is 3 parts and the second parts quantity in 7 parts.

The total number of parts =  3+7

                                              =10

        10 parts =  400

         1 parts    =   40010

                         =40

3 parts    =  3 x 40

                      = 120

7 parts   =  7 x 40

                    =  280



4)  

 Divide 360 in the ratio 2 : 8

2 parts Answer: 72

8 parts Answer: 288


SOLUTION 1 :

Given  :

 2 : 8 means the first quantity is 2 parts and the second parts quantity in 8 parts.

The total number of parts =  2+8

                                              =10

        10 parts =  360

         1 parts    =   36010

                         =36

2 parts    =  2 x 36

                      = 72

8 parts   =  8 x 36

                    =  288



5)  

 Divide 470 in the ratio 2 : 8

2 parts Answer: 94

8 parts Answer: 376


SOLUTION 1 :

Given  :

 2 : 8 means the first quantity is 2 parts and the second parts quantity in 8 parts.

The total number of parts =  2+8

                                              =10

        10 parts =  470

         1 parts    =   47010

                         =47

2 parts    =  2 x 47

                      = 94

8 parts   =  8 x 47

                    =  376



6)  

 Divide 320 in the ratio 3 : 6

3 parts Answer: 107

6 parts Answer: 213


SOLUTION 1 :

Given  :

 3 : 6 means the first quantity is 3 parts and the second parts quantity in 6 parts.

The total number of parts =  3+6

                                              =9

        9 parts =  320

         1 parts    =   3209

                         =35.5555555556

3 parts    =  3 x 35.5555555556

                      = 107

6 parts   =  6 x 35.5555555556

                    =  213



7)  

 Divide 380 in the ratio 4 : 5

4 parts Answer: 169

5 parts Answer: 211


SOLUTION 1 :

Given  :

 4 : 5 means the first quantity is 4 parts and the second parts quantity in 5 parts.

The total number of parts =  4+5

                                              =9

        9 parts =  380

         1 parts    =   3809

                         =42.2222222222

4 parts    =  4 x 42.2222222222

                      = 169

5 parts   =  5 x 42.2222222222

                    =  211



8)  

 Divide 480 in the ratio 3 : 7

3 parts Answer: 144

7 parts Answer: 336


SOLUTION 1 :

Given  :

 3 : 7 means the first quantity is 3 parts and the second parts quantity in 7 parts.

The total number of parts =  3+7

                                              =10

        10 parts =  480

         1 parts    =   48010

                         =48

3 parts    =  3 x 48

                      = 144

7 parts   =  7 x 48

                    =  336



9)  

 Divide 470 in the ratio 4 : 7

4 parts Answer: 171

7 parts Answer: 299


SOLUTION 1 :

Given  :

 4 : 7 means the first quantity is 4 parts and the second parts quantity in 7 parts.

The total number of parts =  4+7

                                              =11

        11 parts =  470

         1 parts    =   47011

                         =42.7272727273

4 parts    =  4 x 42.7272727273

                      = 171

7 parts   =  7 x 42.7272727273

                    =  299



10)  

 Divide 230 in the ratio 4 : 8

4 parts Answer: 77

8 parts Answer: 153


SOLUTION 1 :

Given  :

 4 : 8 means the first quantity is 4 parts and the second parts quantity in 8 parts.

The total number of parts =  4+8

                                              =12

        12 parts =  230

         1 parts    =   23012

                         =19.1666666667

4 parts    =  4 x 19.1666666667

                      = 77

8 parts   =  8 x 19.1666666667

                    =  153