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.

Kumar complete a work in 24 days, where as a Tulasi can complete it in only72 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

Kalai complete a work in 28 days, where as a Jeevini can complete it in only84 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

Kalai complete a work in 24 days, where as a Haritha can complete it in only72 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

Prem complete a work in 16 days, where as a Kumutha can complete it in only48 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

Barathan complete a work in 16 days, where as a Chellamal can complete it in only48 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

Kumar complete a work in 8 days, where as a Poovazhagi can complete it in only24 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

Karna complete a work in 28 days, where as a Poovazhagi can complete it in only84 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

Kalai complete a work in 12 days, where as a Ponnalagu can complete it in only36 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

Murugan complete a work in 24 days, where as a Nandini can complete it in only72 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

10)

Karna complete a work in 24 days, where as a Panimalar can complete it in only72 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

Kumar complete a work in 24 days, where as a Tulasi can complete it in only72 days. If they work together, in how many days, can the work be completed

Answer: 18days

SOLUTION 1 :

Given :

Kumar can complete a work in 24days

work done by Kumar in one day = $\frac{1}{24}$

Tulasi can complete it in 72days

work done by Tulasi in one day = $\frac{1}{72}$

Work done by Kumar and Tulasi together in one day

= $\frac{1}{24}$ + $\frac{1}{72}$

1x3	+	1	=	3	+	1	=	4
24x3	+	72	=	72	+	72	=	72

work done by both, in one day = $\frac{1}{18}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{18}$ days = 18 days.

Kalai complete a work in 28 days, where as a Jeevini can complete it in only84 days. If they work together, in how many days, can the work be completed

Answer: 21days

SOLUTION 1 :

Given :

Kalai can complete a work in 28days

work done by Kalai in one day = $\frac{1}{28}$

Jeevini can complete it in 84days

work done by Jeevini in one day = $\frac{1}{84}$

Work done by Kalai and Jeevini together in one day

= $\frac{1}{28}$ + $\frac{1}{84}$

1x3	+	1	=	3	+	1	=	4
28x3	+	84	=	84	+	84	=	84

work done by both, in one day = $\frac{1}{21}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{21}$ days = 21 days.

Kalai complete a work in 24 days, where as a Haritha can complete it in only72 days. If they work together, in how many days, can the work be completed

Answer: 18days

SOLUTION 1 :

Given :

Kalai can complete a work in 24days

work done by Kalai in one day = $\frac{1}{24}$

Haritha can complete it in 72days

work done by Haritha in one day = $\frac{1}{72}$

Work done by Kalai and Haritha together in one day

= $\frac{1}{24}$ + $\frac{1}{72}$

1x3	+	1	=	3	+	1	=	4
24x3	+	72	=	72	+	72	=	72

work done by both, in one day = $\frac{1}{18}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{18}$ days = 18 days.

Prem complete a work in 16 days, where as a Kumutha can complete it in only48 days. If they work together, in how many days, can the work be completed

Answer: 12days

SOLUTION 1 :

Given :

Prem can complete a work in 16days

work done by Prem in one day = $\frac{1}{16}$

Kumutha can complete it in 48days

work done by Kumutha in one day = $\frac{1}{48}$

Work done by Prem and Kumutha together in one day

= $\frac{1}{16}$ + $\frac{1}{48}$

1x3	+	1	=	3	+	1	=	4
16x3	+	48	=	48	+	48	=	48

work done by both, in one day = $\frac{1}{12}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{12}$ days = 12 days.

Barathan complete a work in 16 days, where as a Chellamal can complete it in only48 days. If they work together, in how many days, can the work be completed

Answer: 12days

SOLUTION 1 :

Given :

Barathan can complete a work in 16days

work done by Barathan in one day = $\frac{1}{16}$

Chellamal can complete it in 48days

work done by Chellamal in one day = $\frac{1}{48}$

Work done by Barathan and Chellamal together in one day

= $\frac{1}{16}$ + $\frac{1}{48}$

1x3	+	1	=	3	+	1	=	4
16x3	+	48	=	48	+	48	=	48

work done by both, in one day = $\frac{1}{12}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{12}$ days = 12 days.

Kumar complete a work in 8 days, where as a Poovazhagi can complete it in only24 days. If they work together, in how many days, can the work be completed

Answer: 6days

SOLUTION 1 :

Given :

Kumar can complete a work in 8days

work done by Kumar in one day = $\frac{1}{8}$

Poovazhagi can complete it in 24days

work done by Poovazhagi in one day = $\frac{1}{24}$

Work done by Kumar and Poovazhagi together in one day

= $\frac{1}{8}$ + $\frac{1}{24}$

1x3	+	1	=	3	+	1	=	4
8x3	+	24	=	24	+	24	=	24

work done by both, in one day = $\frac{1}{6}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{6}$ days = 6 days.

Karna complete a work in 28 days, where as a Poovazhagi can complete it in only84 days. If they work together, in how many days, can the work be completed

Answer: 21days

SOLUTION 1 :

Given :

Karna can complete a work in 28days

work done by Karna in one day = $\frac{1}{28}$

Poovazhagi can complete it in 84days

work done by Poovazhagi in one day = $\frac{1}{84}$

Work done by Karna and Poovazhagi together in one day

= $\frac{1}{28}$ + $\frac{1}{84}$

1x3	+	1	=	3	+	1	=	4
28x3	+	84	=	84	+	84	=	84

work done by both, in one day = $\frac{1}{21}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{21}$ days = 21 days.

Kalai complete a work in 12 days, where as a Ponnalagu can complete it in only36 days. If they work together, in how many days, can the work be completed

Answer: 9days

SOLUTION 1 :

Given :

Kalai can complete a work in 12days

work done by Kalai in one day = $\frac{1}{12}$

Ponnalagu can complete it in 36days

work done by Ponnalagu in one day = $\frac{1}{36}$

Work done by Kalai and Ponnalagu together in one day

= $\frac{1}{12}$ + $\frac{1}{36}$

1x3	+	1	=	3	+	1	=	4
12x3	+	36	=	36	+	36	=	36

work done by both, in one day = $\frac{1}{9}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{9}$ days = 9 days.

Murugan complete a work in 24 days, where as a Nandini can complete it in only72 days. If they work together, in how many days, can the work be completed

Answer: 18days

SOLUTION 1 :

Given :

Murugan can complete a work in 24days

work done by Murugan in one day = $\frac{1}{24}$

Nandini can complete it in 72days

work done by Nandini in one day = $\frac{1}{72}$

Work done by Murugan and Nandini together in one day

= $\frac{1}{24}$ + $\frac{1}{72}$

1x3	+	1	=	3	+	1	=	4
24x3	+	72	=	72	+	72	=	72

work done by both, in one day = $\frac{1}{18}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{18}$ days = 18 days.

10)

Karna complete a work in 24 days, where as a Panimalar can complete it in only72 days. If they work together, in how many days, can the work be completed

Answer: 18days

SOLUTION 1 :

Given :

Karna can complete a work in 24days

work done by Karna in one day = $\frac{1}{24}$

Panimalar can complete it in 72days

work done by Panimalar in one day = $\frac{1}{72}$

Work done by Karna and Panimalar together in one day

= $\frac{1}{24}$ + $\frac{1}{72}$

1x3	+	1	=	3	+	1	=	4
24x3	+	72	=	72	+	72	=	72

work done by both, in one day = $\frac{1}{18}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{18}$ days = 18 days.