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.

Karna complete a work in 12 days, where as a Thamarai 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 8 days, where as a Selvanayaki 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 Amutha can complete it in only72 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

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

days

Answer:_______________

Selvan complete a work in 16 days, where as a Indra 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 16 days, where as a Poongodi can complete it in only48 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 Thamarai 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 4 days, where as a Ovini can complete it in only12 days. If they work together, in how many days, can the work be completed

days

Answer:_______________

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

days

Answer:_______________

10)

Aravindh complete a work in 20 days, where as a Keerthi can complete it in only60 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 Thamarai 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 = $\frac{1}{12}$

Thamarai can complete it in 36days

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

Work done by Karna and Thamarai 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 8 days, where as a Selvanayaki can complete it in only24 days. If they work together, in how many days, can the work be completed

Answer: 6days

SOLUTION 1 :

Given :

Aravindh can complete a work in 8days

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

Selvanayaki can complete it in 24days

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

Work done by Aravindh and Selvanayaki 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 Amutha 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 = $\frac{1}{24}$

Amutha can complete it in 72days

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

Work done by Narayanan and Amutha 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.

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

Answer: 12days

SOLUTION 1 :

Given :

Balaji can complete a work in 16days

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

Nandini can complete it in 48days

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

Work done by Balaji and Nandini 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.

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

Answer: 12days

SOLUTION 1 :

Given :

Selvan can complete a work in 16days

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

Indra can complete it in 48days

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

Work done by Selvan and Indra 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 16 days, where as a Poongodi can complete it in only48 days. If they work together, in how many days, can the work be completed

Answer: 12days

SOLUTION 1 :

Given :

Kumar can complete a work in 16days

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

Poongodi can complete it in 48days

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

Work done by Kumar and Poongodi 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.

Narayanan complete a work in 24 days, where as a Thamarai 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 = $\frac{1}{24}$

Thamarai can complete it in 72days

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

Work done by Narayanan and Thamarai 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 4 days, where as a Ovini can complete it in only12 days. If they work together, in how many days, can the work be completed

Answer: 3days

SOLUTION 1 :

Given :

Karna can complete a work in 4days

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

Ovini can complete it in 12days

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

Work done by Karna and Ovini 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.

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

Answer: 3days

SOLUTION 1 :

Given :

Chidambaram can complete a work in 4days

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

Ramani can complete it in 12days

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

Work done by Chidambaram and Ramani 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.

10)

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

Answer: 15days

SOLUTION 1 :

Given :

Aravindh can complete a work in 20days

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

Keerthi can complete it in 60days

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

Work done by Aravindh and Keerthi 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.