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.

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

days

Answer:_______________

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

days

Answer:_______________

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

days

Answer:_______________

Sriram 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:_______________

Raj complete a work in 20 days, where as a Chellamal can complete it in only60 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

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

days

Answer:_______________

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

days

Answer:_______________

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

days

Answer:_______________

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

days

Answer:_______________

10)

Narayanan complete a work in 4 days, where as a Parveen can complete it in only12 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

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

Answer: 21days

SOLUTION 1 :

Given :

Sriram can complete a work in 28days

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

Amutha can complete it in 84days

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

Work done by Sriram and Amutha 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.

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

Answer: 6days

SOLUTION 1 :

Given :

Selvan can complete a work in 8days

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

Haritha can complete it in 24days

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

Work done by Selvan and Haritha 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.

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

Answer: 18days

SOLUTION 1 :

Given :

Narayanan can complete a work in 24days

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

Jeevini can complete it in 72days

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

Work done by Narayanan and Jeevini 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.

Sriram 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 :

Sriram can complete a work in 16days

work done by Sriram 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 Sriram 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.

Raj complete a work in 20 days, where as a Chellamal can complete it in only60 days. If they work together, in how many days, can the work be completed

Answer: 15days

SOLUTION 1 :

Given :

Raj can complete a work in 20days

work done by Raj in one day = $\frac{1}{20}$

Chellamal can complete it in 60days

work done by Chellamal in one day = $\frac{1}{60}$

Work done by Raj and Chellamal together in one day

= $\frac{1}{20}$ + $\frac{1}{60}$

1x3	+	1	=	3	+	1	=	4
20x3	+	60	=	60	+	60	=	60

work done by both, in one day = $\frac{1}{15}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{15}$ days = 15 days.

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

Answer: 6days

SOLUTION 1 :

Given :

Barathan can complete a work in 8days

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

Chithra can complete it in 24days

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

Work done by Barathan and Chithra 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.

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

Answer: 18days

SOLUTION 1 :

Given :

Anand can complete a work in 24days

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

Jeevini can complete it in 72days

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

Work done by Anand and Jeevini 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.

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

Answer: 9days

SOLUTION 1 :

Given :

Karna can complete a work in 12days

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

Nandini can complete it in 36days

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

Work done by Karna and Nandini 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.

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

Answer: 18days

SOLUTION 1 :

Given :

Aravindh can complete a work in 24days

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

Savithri can complete it in 72days

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

Work done by Aravindh and Savithri 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)

Narayanan complete a work in 4 days, where as a Parveen can complete it in only12 days. If they work together, in how many days, can the work be completed

Answer: 3days

SOLUTION 1 :

Given :

Narayanan can complete a work in 4days

work done by Narayanan in one day = $\frac{1}{4}$

Parveen can complete it in 12days

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

Work done by Narayanan and Parveen together in one day

= $\frac{1}{4}$ + $\frac{1}{12}$

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

work done by both, in one day = $\frac{1}{3}$

Number of days requrired to complete the work by both together

= 1/ $\frac{1}{3}$ days = 3 days.