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.

72 machines can produce 4608 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 39 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

86 machines can produce 4457 identical mobiles in 9 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:_______________

60 machines can produce 5253 identical mobiles in 9 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:_______________

74 machines can produce 5149 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 42 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

100 machines can produce 4014 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 48 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

81 machines can produce 5243 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 26 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

80 machines can produce 5713 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

85 machines can produce 5699 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 22 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

66 machines can produce 5237 identical mobiles in 6 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:_______________

10)

64 machines can produce 4924 identical mobiles in 7 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:_______________

72 machines can produce 4608 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 39 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 749

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
72	10	4608
39	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 72 to 39, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{39}{72}$

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 = $\frac{39}{72}$ x $\frac{3}{10}$ x 4608

= 0.541666666667 x 0.3 x 4608

= 748.8 = 749

No of mobiles produced a machine in one hour = $\frac{1}{72}$ x $\frac{1}{10}$ x 4608

= 0.0138888888889 x 460.8

= 6.4 = 6

86 machines can produce 4457 identical mobiles in 9 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: 507

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
86	9	4457
22	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 86 to 22, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{22}{86}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{9}$

x = $\frac{22}{86}$ x $\frac{4}{9}$ x 4457

= 0.255813953488 x 0.444444444444 x 4457

= 506.739018088 = 507

No of mobiles produced a machine in one hour = $\frac{1}{86}$ x $\frac{1}{9}$ x 4457

= 0.0116279069767 x 495.222222222

= 5.75839793282 = 6

60 machines can produce 5253 identical mobiles in 9 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: 1090

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
60	9	5253
28	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 60 to 28, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{28}{60}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{9}$

x = $\frac{28}{60}$ x $\frac{4}{9}$ x 5253

= 0.466666666667 x 0.444444444444 x 5253

= 1089.51111111 = 1090

No of mobiles produced a machine in one hour = $\frac{1}{60}$ x $\frac{1}{9}$ x 5253

= 0.0166666666667 x 583.666666667

= 9.72777777778 = 10

74 machines can produce 5149 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 42 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 584

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
74	10	5149
42	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 74 to 42, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{42}{74}$

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 = $\frac{42}{74}$ x $\frac{2}{10}$ x 5149

= 0.567567567568 x 0.2 x 5149

= 584.481081081 = 584

No of mobiles produced a machine in one hour = $\frac{1}{74}$ x $\frac{1}{10}$ x 5149

= 0.0135135135135 x 514.9

= 6.95810810811 = 7

100 machines can produce 4014 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 48 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 723

Mobiles produced in 1 hr

Answer: 5

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
100	8	4014
48	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 100 to 48, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{48}{100}$

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 = $\frac{48}{100}$ x $\frac{3}{8}$ x 4014

= 0.48 x 0.375 x 4014

= 722.52 = 723

No of mobiles produced a machine in one hour = $\frac{1}{100}$ x $\frac{1}{8}$ x 4014

= 0.01 x 501.75

= 5.0175 = 5

81 machines can produce 5243 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 26 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 561

Mobiles produced in 1 hr

Answer: 11

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
81	6	5243
26	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 81 to 26, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{26}{81}$

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 = $\frac{26}{81}$ x $\frac{2}{6}$ x 5243

= 0.320987654321 x 0.333333333333 x 5243

= 560.979423868 = 561

No of mobiles produced a machine in one hour = $\frac{1}{81}$ x $\frac{1}{6}$ x 5243

= 0.0123456790123 x 873.833333333

= 10.7880658436 = 11

80 machines can produce 5713 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 1071

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
80	9	5713
45	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 80 to 45, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{45}{80}$

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 = $\frac{45}{80}$ x $\frac{3}{9}$ x 5713

= 0.5625 x 0.333333333333 x 5713

= 1071.1875 = 1071

No of mobiles produced a machine in one hour = $\frac{1}{80}$ x $\frac{1}{9}$ x 5713

= 0.0125 x 634.777777778

= 7.93472222222 = 8

85 machines can produce 5699 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 22 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 443

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
85	10	5699
22	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 85 to 22, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{22}{85}$

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 = $\frac{22}{85}$ x $\frac{3}{10}$ x 5699

= 0.258823529412 x 0.3 x 5699

= 442.510588235 = 443

No of mobiles produced a machine in one hour = $\frac{1}{85}$ x $\frac{1}{10}$ x 5699

= 0.0117647058824 x 569.9

= 6.70470588235 = 7

66 machines can produce 5237 identical mobiles in 6 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: 1164

Mobiles produced in 1 hr

Answer: 13

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
66	6	5237
22	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 66 to 22, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{22}{66}$

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 = $\frac{22}{66}$ x $\frac{4}{6}$ x 5237

= 0.333333333333 x 0.666666666667 x 5237

= 1163.77777778 = 1164

No of mobiles produced a machine in one hour = $\frac{1}{66}$ x $\frac{1}{6}$ x 5237

= 0.0151515151515 x 872.833333333

= 13.2247474747 = 13

10)

64 machines can produce 4924 identical mobiles in 7 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: 791

Mobiles produced in 1 hr

Answer: 11

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
64	7	4924
24	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 64 to 24, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{24}{64}$

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 = $\frac{24}{64}$ x $\frac{3}{7}$ x 4924

= 0.375 x 0.428571428571 x 4924

= 791.357142857 = 791

No of mobiles produced a machine in one hour = $\frac{1}{64}$ x $\frac{1}{7}$ x 4924

= 0.015625 x 703.428571429

= 10.9910714286 = 11