Data Sufficiency 2
Practice and master this topic with our carefully crafted questions.
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.
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 33/7
III. If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days.
From I
(10 x 6) men can complete the work in 1 day.
⇒1 man's 1 day's work = 1/60
From II
(10 x 24/7) men + (10 x 24/7) women can complete the work in 1 day.
⇒ (240/7) men's 1 day work + (240/7) women's 1 day work = 1.
⇒ (240/7 x 1/60) + ( 240/7) women's 1 day's work = 1.
⇒ (240/7) women's 1 day's work = ( 1- 4/7) = 3/7
⇒ 10 women's 1 day's work = (3/7 x 7/240 x 10) = 1/8
So, 10 women can finish the work in 8 days.
From 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).
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. |
I (20/100) work can be completed by (8 x 8) workers in 1 day.
⇒ Whole work can be completed by (8 x 8 x 5) workers in 1 day.
= ( 8 x 8 x 5 /10 ) workers in 10 days = 32 workers in 10 days.
II. (20 x 16) workers can finish it in 1 day.
⇒ (20 x 16 /10) workers can finish it in 10 days.
⇒ 32 workers can finish it in 10 days.
III. 1/8 work can be completed by (8 x 5) workers in 1 day.
⇒ Whole work can be completed by (8 x 5 x 8) workers in 1 day.
( 8 x 5 x 8 / 10 ) workers in 10 days = 32 workers in 10 days.
∴ Any one of the three gives the answer.
∴ Correct answer is (E).