Question
What is the speed of man in still water?
Statement I: The speed of man in still water is twice the speed of the stream. Statement II: In 30 minutes, the man can swim thrice as far with the stream as he can against the stream. In each of the following questions, a question is followed by two statement. Read all the statements and find that which statements are required to answer the question and answer accordingly.Solution
From Statement I, Speed of stream = x km/hr then man’s speed = 2x km/hr From Statement II, Let speed of stream = a km/hr and man’s speed = b km/hr since times is equal to travel upstream and downstream, 3d/(a+b) = d/(b- a ) we get the same statement as I, Man’s speed (b) = 2 times speed of stream (a). Thus both the statements are not sufficient to answer the question.
Find total number of ways in which the word “COMMISSION” can be arranged.
How many 6-digit numbers can be formed from the digits 0,3,4,5,6 and 8, in which the digits are not repeated?
Geography books are always together.
In how many different ways can the letter of the word ‘JUSTICE’ be arranged?
How many different words can be formed with the letters of the word PRACTICE such that each of the word begin with E and ends with R?
Find the number of words formed by using all the letter of the word MEMBER, so that the vowels are always together.
...How many 5-digit even numbers can be formed using the digits 0 to 9 if no digit is repeated?
In how many different ways can the letters of the word ‘VARIOUS’ be arranged in such a way that the vowels occupy only the odd positions?
...In how ways can the selection be made so that a particular member is always excluded?
...In how many ways can the letters of the word ‘MEDICAL’ be rearranged so that the vowels never come together?