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 490 in the ratio 3 : 8

3 parts

8 parts


Answer:_______________




2)  

 Divide 370 in the ratio 2 : 5

2 parts

5 parts


Answer:_______________




3)  

 Divide 400 in the ratio 2 : 7

2 parts

7 parts


Answer:_______________




4)  

 Divide 220 in the ratio 2 : 7

2 parts

7 parts


Answer:_______________




5)  

 Divide 270 in the ratio 4 : 7

4 parts

7 parts


Answer:_______________




6)  

 Divide 260 in the ratio 4 : 7

4 parts

7 parts


Answer:_______________




7)  

 Divide 350 in the ratio 4 : 5

4 parts

5 parts


Answer:_______________




8)  

 Divide 420 in the ratio 3 : 7

3 parts

7 parts


Answer:_______________




9)  

 Divide 240 in the ratio 2 : 7

2 parts

7 parts


Answer:_______________




10)  

 Divide 310 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




 

1)  

 Divide 490 in the ratio 3 : 8

3 parts Answer: 134

8 parts Answer: 356


SOLUTION 1 :

Given  :

 3 : 8 means the first quantity is 3 parts and the second parts quantity in 8 parts.

The total number of parts =  3+8

                                              =11

        11 parts =  490

         1 parts    =   49011

                         =44.5454545455

3 parts    =  3 x 44.5454545455

                      = 134

8 parts   =  8 x 44.5454545455

                    =  356



2)  

 Divide 370 in the ratio 2 : 5

2 parts Answer: 106

5 parts Answer: 264


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 =  370

         1 parts    =   3707

                         =52.8571428571

2 parts    =  2 x 52.8571428571

                      = 106

5 parts   =  5 x 52.8571428571

                    =  264



3)  

 Divide 400 in the ratio 2 : 7

2 parts Answer: 89

7 parts Answer: 311


SOLUTION 1 :

Given  :

 2 : 7 means the first quantity is 2 parts and the second parts quantity in 7 parts.

The total number of parts =  2+7

                                              =9

        9 parts =  400

         1 parts    =   4009

                         =44.4444444444

2 parts    =  2 x 44.4444444444

                      = 89

7 parts   =  7 x 44.4444444444

                    =  311



4)  

 Divide 220 in the ratio 2 : 7

2 parts Answer: 49

7 parts Answer: 171


SOLUTION 1 :

Given  :

 2 : 7 means the first quantity is 2 parts and the second parts quantity in 7 parts.

The total number of parts =  2+7

                                              =9

        9 parts =  220

         1 parts    =   2209

                         =24.4444444444

2 parts    =  2 x 24.4444444444

                      = 49

7 parts   =  7 x 24.4444444444

                    =  171



5)  

 Divide 270 in the ratio 4 : 7

4 parts Answer: 98

7 parts Answer: 172


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 =  270

         1 parts    =   27011

                         =24.5454545455

4 parts    =  4 x 24.5454545455

                      = 98

7 parts   =  7 x 24.5454545455

                    =  172



6)  

 Divide 260 in the ratio 4 : 7

4 parts Answer: 95

7 parts Answer: 165


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 =  260

         1 parts    =   26011

                         =23.6363636364

4 parts    =  4 x 23.6363636364

                      = 95

7 parts   =  7 x 23.6363636364

                    =  165



7)  

 Divide 350 in the ratio 4 : 5

4 parts Answer: 156

5 parts Answer: 194


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 =  350

         1 parts    =   3509

                         =38.8888888889

4 parts    =  4 x 38.8888888889

                      = 156

5 parts   =  5 x 38.8888888889

                    =  194



8)  

 Divide 420 in the ratio 3 : 7

3 parts Answer: 126

7 parts Answer: 294


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 =  420

         1 parts    =   42010

                         =42

3 parts    =  3 x 42

                      = 126

7 parts   =  7 x 42

                    =  294



9)  

 Divide 240 in the ratio 2 : 7

2 parts Answer: 53

7 parts Answer: 187


SOLUTION 1 :

Given  :

 2 : 7 means the first quantity is 2 parts and the second parts quantity in 7 parts.

The total number of parts =  2+7

                                              =9

        9 parts =  240

         1 parts    =   2409

                         =26.6666666667

2 parts    =  2 x 26.6666666667

                      = 53

7 parts   =  7 x 26.6666666667

                    =  187



10)  

 Divide 310 in the ratio 2 : 6

2 parts Answer: 78

6 parts Answer: 233


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 =  310

         1 parts    =   3108

                         =38.75

2 parts    =  2 x 38.75

                      = 78

6 parts   =  6 x 38.75

                    =  233