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Aptitude :: Time and Work
@ : Home > Aptitude > Time and Work > Data Sufficiency 2
Overview
Important Formulas
Exercise
General Questions
Data Sufficiency 1
Data Sufficiency 2
Data Sufficiency 3
"Life is like riding a bicycle. To keep your balance you
must keep moving."
Directions to Solve
Each of the questions given below consists of a question followed by three statements.
You have to study the question and the statements and decide which of the statement(s)
is/are necessary to answer the question.
1. In how many days can 10 women finish a work?
I. 10 men can complete the work in 6 days.II.
10 men and 10 women together can complete the work in 33
days7
III. If 10 men work for 3 days and thereafter 10 women replace them, the remaining
work in completed in 4 days.
A. Any two of the three
B. I and II only
C. II and III only
D. I and III only
E. None of theseAnswer & Explanation
Answer: Option A
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Explanation:
I. (10 x 6) men can complete the work in 1 day.
1 man's 1 day's work =1
60
II. 10 x24
men + 10 x24
women can complete the work in 1 day.7 7
240
men's 1 day work +240
women's 1 day work = 1.7 7
240
x1
+240
women's 1 day's work = 1.7 60 7
240
women's 1 day's work = 1 -4
=3
7 7 7
10 women's 1 day's work =3x
7x 10 =
1
7 240 8
So, 10 women can finish the work in 8 days.
III. (10 men's work for 3 days) + (10 women's work for 4 days) = 1
(10 x 3) men's 1 day's work + (10 x 4) women's 1 day's work = 1
30 men's 1 day's work + 40 women's 1 day's work = 1
Thus, I and III will give us the answer.
And, II and III will give us the answer.
Correct answer is (A).
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2. How many workers are required for completing the construction work in 10 days?
I. 20% of the work can be completed by 8 workers in 8 days.
II. 20 workers can complete the work in 16 days.
III. One-eighth of the work can be completed by 8 workers in 5 days.
A. I only
B. II and III onlyC. III only
D. I and III only
E. Any one of the three
Answer & Explanation
Answer: Option E
Explanation:
I.20
work can be completed by (8 x 8) workers in 1 day.100
Whole work can be completed by (8 x 8 x 5) workers in 1 day.
=8 x 8 x 5
workers in 10 days = 32 workers in 10 days.10
II. (20 x 16) workers can finish it in 1 day.
(20 x 16)workers can finish it in 10 days.
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10
32 workers can finish it in 10 days.
III.1work can be completed by (8 x 5) workers in 1 day.
8
Whole work can be completed by (8 x 5 x 8) workers in 1 day.
=8 x 5 x 8
workers in 10 days = 32 workers in 10 days.
10
Any one of the three gives the answer.
Correct answer is (E).
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Read more:
Time and Work - Important FormulasTime and Work - Data Sufficiency 3
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