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.

94 machines can produce 4014 identical mobiles in 9 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:_______________

63 machines can produce 4092 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 24 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

90 machines can produce 5212 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 33 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

66 machines can produce 5914 identical mobiles in 7 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:_______________

64 machines can produce 5160 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 49 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

97 machines can produce 4981 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 44 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

97 machines can produce 4775 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 41 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

94 machines can produce 4230 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 36 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

88 machines can produce 4337 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 40 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

10)

92 machines can produce 4231 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 22 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

94 machines can produce 4014 identical mobiles in 9 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: 285

Mobiles produced in 1 hr

Answer: 5

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
94	9	4014
30	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 94 to 30, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{30}{94}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{9}$

x = $\frac{30}{94}$ x $\frac{2}{9}$ x 4014

= 0.31914893617 x 0.222222222222 x 4014

= 284.680851064 = 285

No of mobiles produced a machine in one hour = $\frac{1}{94}$ x $\frac{1}{9}$ x 4014

= 0.0106382978723 x 446

= 4.74468085106 = 5

63 machines can produce 4092 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 24 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 468

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
63	10	4092
24	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 63 to 24, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{24}{63}$

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 = $\frac{24}{63}$ x $\frac{3}{10}$ x 4092

= 0.380952380952 x 0.3 x 4092

= 467.657142857 = 468

No of mobiles produced a machine in one hour = $\frac{1}{63}$ x $\frac{1}{10}$ x 4092

= 0.015873015873 x 409.2

= 6.49523809524 = 6

90 machines can produce 5212 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 33 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 637

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
90	6	5212
33	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 90 to 33, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{33}{90}$

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 = $\frac{33}{90}$ x $\frac{2}{6}$ x 5212

= 0.366666666667 x 0.333333333333 x 5212

= 637.022222222 = 637

No of mobiles produced a machine in one hour = $\frac{1}{90}$ x $\frac{1}{6}$ x 5212

= 0.0111111111111 x 868.666666667

= 9.65185185185 = 10

66 machines can produce 5914 identical mobiles in 7 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: 1075

Mobiles produced in 1 hr

Answer: 13

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
66	7	5914
21	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 66 to 21, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{21}{66}$

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 = $\frac{21}{66}$ x $\frac{4}{7}$ x 5914

= 0.318181818182 x 0.571428571429 x 5914

= 1075.27272727 = 1075

No of mobiles produced a machine in one hour = $\frac{1}{66}$ x $\frac{1}{7}$ x 5914

= 0.0151515151515 x 844.857142857

= 12.8008658009 = 13

64 machines can produce 5160 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 49 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 878

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
64	9	5160
49	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 64 to 49, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{49}{64}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{9}$

x = $\frac{49}{64}$ x $\frac{2}{9}$ x 5160

= 0.765625 x 0.222222222222 x 5160

= 877.916666667 = 878

No of mobiles produced a machine in one hour = $\frac{1}{64}$ x $\frac{1}{9}$ x 5160

= 0.015625 x 573.333333333

= 8.95833333333 = 9

97 machines can produce 4981 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 44 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 847

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
97	8	4981
44	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 97 to 44, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{44}{97}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 8 to 3, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{3}{8}$

x = $\frac{44}{97}$ x $\frac{3}{8}$ x 4981

= 0.453608247423 x 0.375 x 4981

= 847.283505155 = 847

No of mobiles produced a machine in one hour = $\frac{1}{97}$ x $\frac{1}{8}$ x 4981

= 0.0103092783505 x 622.625

= 6.41881443299 = 6

97 machines can produce 4775 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 41 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 577

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
97	7	4775
41	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 97 to 41, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{41}{97}$

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 = $\frac{41}{97}$ x $\frac{2}{7}$ x 4775

= 0.422680412371 x 0.285714285714 x 4775

= 576.656848306 = 577

No of mobiles produced a machine in one hour = $\frac{1}{97}$ x $\frac{1}{7}$ x 4775

= 0.0103092783505 x 682.142857143

= 7.0324005891 = 7

94 machines can produce 4230 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 36 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 810

Mobiles produced in 1 hr

Answer: 5

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
94	10	4230
36	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 94 to 36, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{36}{94}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 10 to 5, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{5}{10}$

x = $\frac{36}{94}$ x $\frac{5}{10}$ x 4230

= 0.382978723404 x 0.5 x 4230

= 810 = 810

No of mobiles produced a machine in one hour = $\frac{1}{94}$ x $\frac{1}{10}$ x 4230

= 0.0106382978723 x 423

= 4.5 = 5

88 machines can produce 4337 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 40 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1232

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
88	8	4337
40	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 88 to 40, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{40}{88}$

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 = $\frac{40}{88}$ x $\frac{5}{8}$ x 4337

= 0.454545454545 x 0.625 x 4337

= 1232.10227273 = 1232

No of mobiles produced a machine in one hour = $\frac{1}{88}$ x $\frac{1}{8}$ x 4337

= 0.0113636363636 x 542.125

= 6.16051136364 = 6

10)

92 machines can produce 4231 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 22 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 405

Mobiles produced in 1 hr

Answer: 5

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
92	10	4231
22	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 92 to 22, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{22}{92}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 10 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{10}$

x = $\frac{22}{92}$ x $\frac{4}{10}$ x 4231

= 0.239130434783 x 0.4 x 4231

= 404.704347826 = 405

No of mobiles produced a machine in one hour = $\frac{1}{92}$ x $\frac{1}{10}$ x 4231

= 0.0108695652174 x 423.1

= 4.59891304348 = 5