Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
 Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
 Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
 Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
 Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
 Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
Answer: Option A
Explanation:
B’s 1 day’s work =  1 
20 
(A+ B)’s 1 day’s work =  1 
7 
I. (A + B)’s 5 day’s work =  5 
7 
Remaining work =  1 –  5  =  2  .  
7  7 
2  work was carried by A.  
7 
II. is irrelevant.
Correct answer is (A).



Answer: Option E
Explanation:
I. gives, Machine X produces  x  candles in 1 min. 
5 
II. gives, Machine X and Y produce  x  candles in 1 min. 
2 
From I and II, Y produces  x  –  x  =  3x  candles in 1 min.  
2  5  10 
3x  candles are produced by Y in 1 min. 
10 
x candles will be produced by Y in  10  x x  min =  10  min.  
3x  3 
Thus, I and II both are necessary to get the answer.
Correct answer is (E).
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. 


Answer: Option A Explanation: I. (10 x 6) men can complete the work in 1 day.
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). 


Answer: Option E Explanation:
Whole work can be completed by (8 x 8 x 5) workers in 1 day.
II. (20 x 16) workers can finish it in 1 day.
32 workers can finish it in 10 days.
Whole work can be completed by (8 x 5 x 8) workers in 1 day.
Any one of the three gives the answer. Correct answer is (E). 


Answer: Option D Explanation: Clearly, I only gives the answer. Similarly, II only gives the answer. And, III only gives the answer. Correct answer is (D). 
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:  
Answer: Option B Explanation: Ratio of times taken by A and B = 1 : 3. The time difference is (3 – 1) 2 days while B take 3 days and A takes 1 day. If difference of time is 2 days, B takes 3 days.
So, A takes 30 days to do the work.

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?  
Answer: Option B Explanation:

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:  
Answer: Option A Explanation: Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y.
15 men and 20 boys can do the work in 4 days. 
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?  
Answer: Option C Explanation:
B alone will take 12 hours to do the work. 
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?  
Answer: Option C Explanation:
Whole work will be done by A and B in (3 x 5) = 15 days.

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