Sasi Math (Revised for 1024)

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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 12 men can built a wall 120 meters long in 9 days, what length of a similar wall can be built by 17 men in 4 days.

meters

Answer:_______________

If 10 men can built a wall 114 meters long in 5 days, what length of a similar wall can be built by 20 men in 3 days.

meters

Answer:_______________

If 14 men can built a wall 116 meters long in 8 days, what length of a similar wall can be built by 19 men in 3 days.

meters

Answer:_______________

If 12 men can built a wall 118 meters long in 8 days, what length of a similar wall can be built by 17 men in 3 days.

meters

Answer:_______________

If 15 men can built a wall 117 meters long in 8 days, what length of a similar wall can be built by 16 men in 3 days.

meters

Answer:_______________

If 13 men can built a wall 120 meters long in 6 days, what length of a similar wall can be built by 17 men in 3 days.

meters

Answer:_______________

If 10 men can built a wall 108 meters long in 6 days, what length of a similar wall can be built by 20 men in 4 days.

meters

Answer:_______________

If 15 men can built a wall 101 meters long in 5 days, what length of a similar wall can be built by 18 men in 2 days.

meters

Answer:_______________

If 12 men can built a wall 120 meters long in 7 days, what length of a similar wall can be built by 20 men in 2 days.

meters

Answer:_______________

10)

If 15 men can built a wall 108 meters long in 9 days, what length of a similar wall can be built by 20 men in 4 days.

meters

Answer:_______________

If 12 men can built a wall 120 meters long in 9 days, what length of a similar wall can be built by 17 men in 4 days.

Answer: 76 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
12	9	120
17	4

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 12 to 17, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{17}{12}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 9 to 4, length of the wall also decreases.

It is in direct variation.

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

x = $\frac{17}{12}$ x $\frac{4}{9}$ x 120

= 1.41666666667 x 0.444444444444 x 120

= 76 meters

If 10 men can built a wall 114 meters long in 5 days, what length of a similar wall can be built by 20 men in 3 days.

Answer: 137 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
10	5	114
20	3

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 10 to 20, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{20}{10}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 5 to 3, length of the wall also decreases.

It is in direct variation.

The multiplying factor = $\frac{3}{5}$

x = $\frac{20}{10}$ x $\frac{3}{5}$ x 114

= 2 x 0.6 x 114

= 137 meters

If 14 men can built a wall 116 meters long in 8 days, what length of a similar wall can be built by 19 men in 3 days.

Answer: 59 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
14	8	116
19	3

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 14 to 19, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{19}{14}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 8 to 3, length of the wall also decreases.

It is in direct variation.

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

x = $\frac{19}{14}$ x $\frac{3}{8}$ x 116

= 1.35714285714 x 0.375 x 116

= 59 meters

If 12 men can built a wall 118 meters long in 8 days, what length of a similar wall can be built by 17 men in 3 days.

Answer: 63 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
12	8	118
17	3

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 12 to 17, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{17}{12}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 8 to 3, length of the wall also decreases.

It is in direct variation.

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

x = $\frac{17}{12}$ x $\frac{3}{8}$ x 118

= 1.41666666667 x 0.375 x 118

= 63 meters

If 15 men can built a wall 117 meters long in 8 days, what length of a similar wall can be built by 16 men in 3 days.

Answer: 47 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
15	8	117
16	3

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 15 to 16, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{16}{15}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 8 to 3, length of the wall also decreases.

It is in direct variation.

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

x = $\frac{16}{15}$ x $\frac{3}{8}$ x 117

= 1.06666666667 x 0.375 x 117

= 47 meters

If 13 men can built a wall 120 meters long in 6 days, what length of a similar wall can be built by 17 men in 3 days.

Answer: 78 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
13	6	120
17	3

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 13 to 17, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{17}{13}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 6 to 3, length of the wall also decreases.

It is in direct variation.

The multiplying factor = $\frac{3}{6}$

x = $\frac{17}{13}$ x $\frac{3}{6}$ x 120

= 1.30769230769 x 0.5 x 120

= 78 meters

If 10 men can built a wall 108 meters long in 6 days, what length of a similar wall can be built by 20 men in 4 days.

Answer: 144 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
10	6	108
20	4

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 10 to 20, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{20}{10}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 6 to 4, length of the wall also decreases.

It is in direct variation.

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

x = $\frac{20}{10}$ x $\frac{4}{6}$ x 108

= 2 x 0.666666666667 x 108

= 144 meters

If 15 men can built a wall 101 meters long in 5 days, what length of a similar wall can be built by 18 men in 2 days.

Answer: 48 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
15	5	101
18	2

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 15 to 18, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{18}{15}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 5 to 2, length of the wall also decreases.

It is in direct variation.

The multiplying factor = $\frac{2}{5}$

x = $\frac{18}{15}$ x $\frac{2}{5}$ x 101

= 1.2 x 0.4 x 101

= 48 meters

If 12 men can built a wall 120 meters long in 7 days, what length of a similar wall can be built by 20 men in 2 days.

Answer: 57 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
12	7	120
20	2

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 12 to 20, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{20}{12}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 7 to 2, length of the wall also decreases.

It is in direct variation.

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

x = $\frac{20}{12}$ x $\frac{2}{7}$ x 120

= 1.66666666667 x 0.285714285714 x 120

= 57 meters

10)

If 15 men can built a wall 108 meters long in 9 days, what length of a similar wall can be built by 20 men in 4 days.

Answer: 64 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
15	9	108
20	4

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 15 to 20, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{20}{15}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 9 to 4, length of the wall also decreases.

It is in direct variation.

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

x = $\frac{20}{15}$ x $\frac{4}{9}$ x 108

= 1.33333333333 x 0.444444444444 x 108

= 64 meters