RRB Group-D 25th oct 2018-shift -1

Four words have been given of which three are alike in some way and one is different. Choose the odd one out.

The mean of the 5 smallest numbers from a group is 21 while the mean of all the numbers of the group taken together is 25. If the mean of the numbers, leaving the smallest five out, is 27.5, how many numbers were there in the group in all?

In a mixture of 50 liters, milk and water are in the ratio of 3:2. How much water should be added to make the ratio of the two equal?

Consider the statement and the following arguments and decide which of the arguments is/are strong with respect to the statement.
Statement: 

To save the city from air pollution, should citizens use more public transport?
Arguments:
I. Yes, everybody should only use public transport unless it is an emergency
II. No, it is not a very good idea to use public transport as it might not be convenient for all

Simplify the following expression:
$$(\frac{2}{3} \times \frac{1}{6}) + (\frac{2}{3} \times \frac{7}{2}) - (\frac{13}{4} \times \frac{4}{3}) = ?$$

Two pipes A and B can fill an empty cistern in 4.8 and 7.2 hours, respectively. Pipe C can drain the entire cistern in 9.6 hours when no other pipe is in operation. Initially when the cistern was empty, Pipe A and Pipe C were turned on. After a few hours. Pipe A was turned off and Pipe B was turned on instantly. In all it took 16.8 hours to fill the cistern. For how many hours was Pipe B turned on?

What day of the week would it be on $$30^{th}$$ March 2020?

The sex of the children will be determined by what they inherit from the:

You are given a question and two statements. Identify which of the statements is/are necessary/sufficient to answer the question.
Question: 

In Country X, after 1975 why there was no major breakthrough in nuclear science study? 

Statements:
1. Scientists are not given that state of art infrastructure.
2. Scientists believe the development nuclear science in the west is enough of the development of the country

As of August 2018, who was the chief justice of India?