Sasi Math (Revised for 1024)

Scroll:Life mathematics >> profit and loss >> saq (4294)

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.

If 24compositors can compose 65 pages of a book in 6 hrs,how many compositors will compose 84 pages of this book in 21 hrs

Answer:_______________

If 21compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 91 pages of this book in 16 hrs

Answer:_______________

If 25compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 99 pages of this book in 15 hrs

Answer:_______________

If 26compositors can compose 55 pages of a book in 6 hrs,how many compositors will compose 80 pages of this book in 20 hrs

Answer:_______________

If 24compositors can compose 55 pages of a book in 8 hrs,how many compositors will compose 90 pages of this book in 25 hrs

Answer:_______________

If 22compositors can compose 50 pages of a book in 10 hrs,how many compositors will compose 87 pages of this book in 17 hrs

Answer:_______________

If 28compositors can compose 60 pages of a book in 8 hrs,how many compositors will compose 83 pages of this book in 17 hrs

Answer:_______________

If 29compositors can compose 60 pages of a book in 10 hrs,how many compositors will compose 84 pages of this book in 25 hrs

Answer:_______________

If 21compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 83 pages of this book in 18 hrs

Answer:_______________

10)

If 24compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 96 pages of this book in 16 hrs

Answer:_______________

If 24compositors can compose 65 pages of a book in 6 hrs,how many compositors will compose 84 pages of this book in 21 hrs

Answer: 9

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
24	6	65
	21	84

Consider the compositors and pages

As the No of pages increase from 65 to 84 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{84}{65}$

Consider the copmositors and hours .

As the No of hrs increases from 6 to 21 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{6}{21}$

x = $\frac{84}{65}$ x $\frac{6}{21}$ x 24

= 1.2923076923077 x 0.28571428571429 x 24

= 9

If 21compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 91 pages of this book in 16 hrs

Answer: 22

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
21	10	55
	16	91

Consider the compositors and pages

As the No of pages increase from 55 to 91 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{91}{55}$

Consider the copmositors and hours .

As the No of hrs increases from 10 to 16 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{10}{16}$

x = $\frac{91}{55}$ x $\frac{10}{16}$ x 21

= 1.6545454545455 x 0.625 x 21

= 22

If 25compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 99 pages of this book in 15 hrs

Answer: 15

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
25	5	55
	15	99

Consider the compositors and pages

As the No of pages increase from 55 to 99 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{99}{55}$

Consider the copmositors and hours .

As the No of hrs increases from 5 to 15 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{5}{15}$

x = $\frac{99}{55}$ x $\frac{5}{15}$ x 25

= 1.8 x 0.33333333333333 x 25

= 15

If 26compositors can compose 55 pages of a book in 6 hrs,how many compositors will compose 80 pages of this book in 20 hrs

Answer: 11

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
26	6	55
	20	80

Consider the compositors and pages

As the No of pages increase from 55 to 80 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{80}{55}$

Consider the copmositors and hours .

As the No of hrs increases from 6 to 20 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{6}{20}$

x = $\frac{80}{55}$ x $\frac{6}{20}$ x 26

= 1.4545454545455 x 0.3 x 26

= 11

If 24compositors can compose 55 pages of a book in 8 hrs,how many compositors will compose 90 pages of this book in 25 hrs

Answer: 13

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
24	8	55
	25	90

Consider the compositors and pages

As the No of pages increase from 55 to 90 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{90}{55}$

Consider the copmositors and hours .

As the No of hrs increases from 8 to 25 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{8}{25}$

x = $\frac{90}{55}$ x $\frac{8}{25}$ x 24

= 1.6363636363636 x 0.32 x 24

= 13

If 22compositors can compose 50 pages of a book in 10 hrs,how many compositors will compose 87 pages of this book in 17 hrs

Answer: 23

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
22	10	50
	17	87

Consider the compositors and pages

As the No of pages increase from 50 to 87 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{87}{50}$

Consider the copmositors and hours .

As the No of hrs increases from 10 to 17 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{10}{17}$

x = $\frac{87}{50}$ x $\frac{10}{17}$ x 22

= 1.74 x 0.58823529411765 x 22

= 23

If 28compositors can compose 60 pages of a book in 8 hrs,how many compositors will compose 83 pages of this book in 17 hrs

Answer: 18

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
28	8	60
	17	83

Consider the compositors and pages

As the No of pages increase from 60 to 83 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{83}{60}$

Consider the copmositors and hours .

As the No of hrs increases from 8 to 17 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{8}{17}$

x = $\frac{83}{60}$ x $\frac{8}{17}$ x 28

= 1.3833333333333 x 0.47058823529412 x 28

= 18

If 29compositors can compose 60 pages of a book in 10 hrs,how many compositors will compose 84 pages of this book in 25 hrs

Answer: 16

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
29	10	60
	25	84

Consider the compositors and pages

As the No of pages increase from 60 to 84 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{84}{60}$

Consider the copmositors and hours .

As the No of hrs increases from 10 to 25 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{10}{25}$

x = $\frac{84}{60}$ x $\frac{10}{25}$ x 29

= 1.4 x 0.4 x 29

= 16

If 21compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 83 pages of this book in 18 hrs

Answer: 12

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
21	8	65
	18	83

Consider the compositors and pages

As the No of pages increase from 65 to 83 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{83}{65}$

Consider the copmositors and hours .

As the No of hrs increases from 8 to 18 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{8}{18}$

x = $\frac{83}{65}$ x $\frac{8}{18}$ x 21

= 1.2769230769231 x 0.44444444444444 x 21

= 12

10)

If 24compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 96 pages of this book in 16 hrs

Answer: 16

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
24	7	65
	16	96

Consider the compositors and pages

As the No of pages increase from 65 to 96 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{96}{65}$

Consider the copmositors and hours .

As the No of hrs increases from 7 to 16 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{7}{16}$

x = $\frac{96}{65}$ x $\frac{7}{16}$ x 24

= 1.4769230769231 x 0.4375 x 24

= 16