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.

74 machines can produce 5187 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 41 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

74 machines can produce 4620 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

79 machines can produce 5282 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

77 machines can produce 5666 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 25 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

95 machines can produce 4034 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 21 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

62 machines can produce 4425 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 28 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

61 machines can produce 5488 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 32 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

67 machines can produce 4972 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 27 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

92 machines can produce 5882 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 33 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

10)

72 machines can produce 5768 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

74 machines can produce 5187 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 41 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 1642

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
74	7	5187
41	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 74 to 41, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{41}{74}$

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 = $\frac{41}{74}$ x $\frac{4}{7}$ x 5187

= 0.554054054054 x 0.571428571429 x 5187

= 1642.21621622 = 1642

No of mobiles produced a machine in one hour = $\frac{1}{74}$ x $\frac{1}{7}$ x 5187

= 0.0135135135135 x 741

= 10.0135135135 = 10

74 machines can produce 4620 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 803

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
74	7	4620
45	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 74 to 45, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{45}{74}$

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 = $\frac{45}{74}$ x $\frac{2}{7}$ x 4620

= 0.608108108108 x 0.285714285714 x 4620

= 802.702702703 = 803

No of mobiles produced a machine in one hour = $\frac{1}{74}$ x $\frac{1}{7}$ x 4620

= 0.0135135135135 x 660

= 8.91891891892 = 9

79 machines can produce 5282 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 1003

Mobiles produced in 1 hr

Answer: 11

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
79	6	5282
45	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 79 to 45, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{45}{79}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 6 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{6}$

x = $\frac{45}{79}$ x $\frac{2}{6}$ x 5282

= 0.569620253165 x 0.333333333333 x 5282

= 1002.91139241 = 1003

No of mobiles produced a machine in one hour = $\frac{1}{79}$ x $\frac{1}{6}$ x 5282

= 0.0126582278481 x 880.333333333

= 11.1434599156 = 11

77 machines can produce 5666 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 25 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 788

Mobiles produced in 1 hr

Answer: 11

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
77	7	5666
25	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 77 to 25, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{25}{77}$

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 = $\frac{25}{77}$ x $\frac{3}{7}$ x 5666

= 0.324675324675 x 0.428571428571 x 5666

= 788.40445269 = 788

No of mobiles produced a machine in one hour = $\frac{1}{77}$ x $\frac{1}{7}$ x 5666

= 0.012987012987 x 809.428571429

= 10.5120593692 = 11

95 machines can produce 4034 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 21 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 594

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
95	6	4034
21	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 95 to 21, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{21}{95}$

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 = $\frac{21}{95}$ x $\frac{4}{6}$ x 4034

= 0.221052631579 x 0.666666666667 x 4034

= 594.484210526 = 594

No of mobiles produced a machine in one hour = $\frac{1}{95}$ x $\frac{1}{6}$ x 4034

= 0.0105263157895 x 672.333333333

= 7.07719298246 = 7

62 machines can produce 4425 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 28 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 1332

Mobiles produced in 1 hr

Answer: 12

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
62	6	4425
28	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 62 to 28, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{28}{62}$

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 = $\frac{28}{62}$ x $\frac{4}{6}$ x 4425

= 0.451612903226 x 0.666666666667 x 4425

= 1332.25806452 = 1332

No of mobiles produced a machine in one hour = $\frac{1}{62}$ x $\frac{1}{6}$ x 4425

= 0.0161290322581 x 737.5

= 11.8951612903 = 12

61 machines can produce 5488 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 32 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 720

Mobiles produced in 1 hr

Answer: 11

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
61	8	5488
32	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 61 to 32, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{32}{61}$

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 = $\frac{32}{61}$ x $\frac{2}{8}$ x 5488

= 0.524590163934 x 0.25 x 5488

= 719.737704918 = 720

No of mobiles produced a machine in one hour = $\frac{1}{61}$ x $\frac{1}{8}$ x 5488

= 0.016393442623 x 686

= 11.2459016393 = 11

67 machines can produce 4972 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 27 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 668

Mobiles produced in 1 hr

Answer: 12

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
67	6	4972
27	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 67 to 27, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{27}{67}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 6 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{6}$

x = $\frac{27}{67}$ x $\frac{2}{6}$ x 4972

= 0.402985074627 x 0.333333333333 x 4972

= 667.880597015 = 668

No of mobiles produced a machine in one hour = $\frac{1}{67}$ x $\frac{1}{6}$ x 4972

= 0.0149253731343 x 828.666666667

= 12.368159204 = 12

92 machines can produce 5882 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 33 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 703

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
92	9	5882
33	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 92 to 33, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{33}{92}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 3, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{3}{9}$

x = $\frac{33}{92}$ x $\frac{3}{9}$ x 5882

= 0.358695652174 x 0.333333333333 x 5882

= 703.282608696 = 703

No of mobiles produced a machine in one hour = $\frac{1}{92}$ x $\frac{1}{9}$ x 5882

= 0.0108695652174 x 653.555555556

= 7.1038647343 = 7

10)

72 machines can produce 5768 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 3004

Mobiles produced in 1 hr

Answer: 13

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
72	6	5768
45	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 72 to 45, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{45}{72}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 6 to 5, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{5}{6}$

x = $\frac{45}{72}$ x $\frac{5}{6}$ x 5768

= 0.625 x 0.833333333333 x 5768

= 3004.16666667 = 3004

No of mobiles produced a machine in one hour = $\frac{1}{72}$ x $\frac{1}{6}$ x 5768

= 0.0138888888889 x 961.333333333

= 13.3518518519 = 13