Sasi Math (Revised for 1024)

Scroll:Life mathematics >> profit and loss >> saq (4296)

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.

73 machines can produce 4321 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 42 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

92 machines can produce 4454 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 44 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

62 machines can produce 4484 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 34 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

76 machines can produce 5518 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 30 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

79 machines can produce 5929 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 37 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

65 machines can produce 4294 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 46 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

81 machines can produce 5760 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 33 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

94 machines can produce 4061 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 29 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

91 machines can produce 5815 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 30 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

10)

70 machines can produce 4455 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 28 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

73 machines can produce 4321 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 42 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 1065

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
73	7	4321
42	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 73 to 42, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{42}{73}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 7 to 3, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{3}{7}$

x = $\frac{42}{73}$ x $\frac{3}{7}$ x 4321

= 0.57534246575342 x 0.42857142857143 x 4321

= 1065.4520547945 = 1065

No of mobiles produced a machine in one hour = $\frac{1}{73}$ x $\frac{1}{7}$ x 4321

= 0.013698630136986 x 617.28571428571

= 8.4559686888454 = 8

92 machines can produce 4454 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 44 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 426

Mobiles produced in 1 hr

Answer: 5

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
92	10	4454
44	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 92 to 44, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{44}{92}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 10 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{10}$

x = $\frac{44}{92}$ x $\frac{2}{10}$ x 4454

= 0.47826086956522 x 0.2 x 4454

= 426.0347826087 = 426

No of mobiles produced a machine in one hour = $\frac{1}{92}$ x $\frac{1}{10}$ x 4454

= 0.010869565217391 x 445.4

= 4.8413043478261 = 5

62 machines can produce 4484 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 34 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 703

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
62	7	4484
34	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 62 to 34, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{34}{62}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 7 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{7}$

x = $\frac{34}{62}$ x $\frac{2}{7}$ x 4484

= 0.54838709677419 x 0.28571428571429 x 4484

= 702.56221198157 = 703

No of mobiles produced a machine in one hour = $\frac{1}{62}$ x $\frac{1}{7}$ x 4484

= 0.016129032258065 x 640.57142857143

= 10.331797235023 = 10

76 machines can produce 5518 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 30 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 1245

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
76	7	5518
30	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 76 to 30, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{30}{76}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 7 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{7}$

x = $\frac{30}{76}$ x $\frac{4}{7}$ x 5518

= 0.39473684210526 x 0.57142857142857 x 5518

= 1244.6616541353 = 1245

No of mobiles produced a machine in one hour = $\frac{1}{76}$ x $\frac{1}{7}$ x 5518

= 0.013157894736842 x 788.28571428571

= 10.372180451128 = 10

79 machines can produce 5929 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 37 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 694

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
79	8	5929
37	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 79 to 37, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{37}{79}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 8 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{8}$

x = $\frac{37}{79}$ x $\frac{2}{8}$ x 5929

= 0.46835443037975 x 0.25 x 5929

= 694.21835443038 = 694

No of mobiles produced a machine in one hour = $\frac{1}{79}$ x $\frac{1}{8}$ x 5929

= 0.012658227848101 x 741.125

= 9.381329113924 = 9

65 machines can produce 4294 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 46 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1688

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
65	9	4294
46	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 65 to 46, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{46}{65}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 5, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{5}{9}$

x = $\frac{46}{65}$ x $\frac{5}{9}$ x 4294

= 0.70769230769231 x 0.55555555555556 x 4294

= 1688.2393162393 = 1688

No of mobiles produced a machine in one hour = $\frac{1}{65}$ x $\frac{1}{9}$ x 4294

= 0.015384615384615 x 477.11111111111

= 7.3401709401709 = 7

81 machines can produce 5760 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 33 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 1564

Mobiles produced in 1 hr

Answer: 12

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
81	6	5760
33	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 81 to 33, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{33}{81}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 6 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{6}$

x = $\frac{33}{81}$ x $\frac{4}{6}$ x 5760

= 0.40740740740741 x 0.66666666666667 x 5760

= 1564.4444444444 = 1564

No of mobiles produced a machine in one hour = $\frac{1}{81}$ x $\frac{1}{6}$ x 5760

= 0.012345679012346 x 960

= 11.851851851852 = 12

94 machines can produce 4061 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 29 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 376

Mobiles produced in 1 hr

Answer: 4

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
94	10	4061
29	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 94 to 29, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{29}{94}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 10 to 3, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{3}{10}$

x = $\frac{29}{94}$ x $\frac{3}{10}$ x 4061

= 0.30851063829787 x 0.3 x 4061

= 375.8585106383 = 376

No of mobiles produced a machine in one hour = $\frac{1}{94}$ x $\frac{1}{10}$ x 4061

= 0.01063829787234 x 406.1

= 4.3202127659574 = 4

91 machines can produce 5815 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 30 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 548

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
91	7	5815
30	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 91 to 30, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{30}{91}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 7 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{7}$

x = $\frac{30}{91}$ x $\frac{2}{7}$ x 5815

= 0.32967032967033 x 0.28571428571429 x 5815

= 547.72370486656 = 548

No of mobiles produced a machine in one hour = $\frac{1}{91}$ x $\frac{1}{7}$ x 5815

= 0.010989010989011 x 830.71428571429

= 9.1287284144427 = 9

10)

70 machines can produce 4455 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 28 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1114

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
70	8	4455
28	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 70 to 28, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{28}{70}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 8 to 5, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{5}{8}$

x = $\frac{28}{70}$ x $\frac{5}{8}$ x 4455

= 0.4 x 0.625 x 4455

= 1113.75 = 1114

No of mobiles produced a machine in one hour = $\frac{1}{70}$ x $\frac{1}{8}$ x 4455

= 0.014285714285714 x 556.875

= 7.9553571428571 = 8