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 15 men can built a wall 109 meters long in 7 days, what length of a similar wall can be built by 20 men in 3 days.

meters

Answer:_______________

If 12 men can built a wall 118 meters long in 6 days, what length of a similar wall can be built by 17 men in 3 days.

meters

Answer:_______________

If 13 men can built a wall 120 meters long in 8 days, what length of a similar wall can be built by 18 men in 2 days.

meters

Answer:_______________

If 14 men can built a wall 108 meters long in 7 days, what length of a similar wall can be built by 20 men in 4 days.

meters

Answer:_______________

If 14 men can built a wall 102 meters long in 9 days, what length of a similar wall can be built by 17 men in 4 days.

meters

Answer:_______________

If 15 men can built a wall 119 meters long in 8 days, what length of a similar wall can be built by 18 men in 2 days.

meters

Answer:_______________

If 14 men can built a wall 110 meters long in 9 days, what length of a similar wall can be built by 16 men in 4 days.

meters

Answer:_______________

If 14 men can built a wall 115 meters long in 9 days, what length of a similar wall can be built by 17 men in 2 days.

meters

Answer:_______________

If 10 men can built a wall 116 meters long in 7 days, what length of a similar wall can be built by 16 men in 2 days.

meters

Answer:_______________

10)

If 14 men can built a wall 112 meters long in 7 days, what length of a similar wall can be built by 17 men in 2 days.

meters

Answer:_______________

If 15 men can built a wall 109 meters long in 7 days, what length of a similar wall can be built by 20 men in 3 days.

Answer: 62 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
15	7	109
20	3

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 7 to 3, length of the wall also decreases.

It is in direct variation.

The multiplying factor = $\frac{3}{7}$

x = $\frac{20}{15}$ x $\frac{3}{7}$ x 109

= 1.33333333333 x 0.428571428571 x 109

= 62 meters

If 12 men can built a wall 118 meters long in 6 days, what length of a similar wall can be built by 17 men in 3 days.

Answer: 84 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
12	6	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 6 to 3, length of the wall also decreases.

It is in direct variation.

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

x = $\frac{17}{12}$ x $\frac{3}{6}$ x 118

= 1.41666666667 x 0.5 x 118

= 84 meters

If 13 men can built a wall 120 meters long in 8 days, what length of a similar wall can be built by 18 men in 2 days.

Answer: 42 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
13	8	120
18	2

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 13 to 18, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{18}{13}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 8 to 2, length of the wall also decreases.

It is in direct variation.

The multiplying factor = $\frac{2}{8}$

x = $\frac{18}{13}$ x $\frac{2}{8}$ x 120

= 1.38461538462 x 0.25 x 120

= 42 meters

If 14 men can built a wall 108 meters long in 7 days, what length of a similar wall can be built by 20 men in 4 days.

Answer: 88 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
14	7	108
20	4

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 14 to 20, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{20}{14}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 7 to 4, length of the wall also decreases.

It is in direct variation.

The multiplying factor = $\frac{4}{7}$

x = $\frac{20}{14}$ x $\frac{4}{7}$ x 108

= 1.42857142857 x 0.571428571429 x 108

= 88 meters

If 14 men can built a wall 102 meters long in 9 days, what length of a similar wall can be built by 17 men in 4 days.

Answer: 55 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
14	9	102
17	4

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 14 to 17, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{17}{14}$

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 = $\frac{17}{14}$ x $\frac{4}{9}$ x 102

= 1.21428571429 x 0.444444444444 x 102

= 55 meters

If 15 men can built a wall 119 meters long in 8 days, what length of a similar wall can be built by 18 men in 2 days.

Answer: 36 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
15	8	119
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 8 to 2, length of the wall also decreases.

It is in direct variation.

The multiplying factor = $\frac{2}{8}$

x = $\frac{18}{15}$ x $\frac{2}{8}$ x 119

= 1.2 x 0.25 x 119

= 36 meters

If 14 men can built a wall 110 meters long in 9 days, what length of a similar wall can be built by 16 men in 4 days.

Answer: 56 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
14	9	110
16	4

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 14 to 16, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{16}{14}$

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 = $\frac{16}{14}$ x $\frac{4}{9}$ x 110

= 1.14285714286 x 0.444444444444 x 110

= 56 meters

If 14 men can built a wall 115 meters long in 9 days, what length of a similar wall can be built by 17 men in 2 days.

Answer: 31 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
14	9	115
17	2

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 14 to 17, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{17}{14}$

Step :2

Consider the No of days & the length of the wall. As the No of days decreases from 9 to 2, length of the wall also decreases.

It is in direct variation.

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

x = $\frac{17}{14}$ x $\frac{2}{9}$ x 115

= 1.21428571429 x 0.222222222222 x 115

= 31 meters

If 10 men can built a wall 116 meters long in 7 days, what length of a similar wall can be built by 16 men in 2 days.

Answer: 53 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
10	7	116
16	2

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 10 to 16, the length of the wall also increases.

It is in direct variation.

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

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 = $\frac{16}{10}$ x $\frac{2}{7}$ x 116

= 1.6 x 0.285714285714 x 116

= 53 meters

10)

If 14 men can built a wall 112 meters long in 7 days, what length of a similar wall can be built by 17 men in 2 days.

Answer: 39 meters

SOLUTION 1 :

Soln :

Number of Men	Number of days	Length of the wall in (m)
14	7	112
17	2

Step :1

Consider the No of men & Length of the wall. As the No of men increases from 14 to 17, the length of the wall also increases.

It is in direct variation.

The multiplying factor = $\frac{17}{14}$

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 = $\frac{17}{14}$ x $\frac{2}{7}$ x 112

= 1.21428571429 x 0.285714285714 x 112

= 39 meters