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p and q are positive numbers such that p^q=q^p. And q=9p . The value of p is : a) ā9 b) 9^(1/6) c) 9^(1/9) d) 9^(1/8) e) 9^(1/3)
find 100th term.... ,1,5,11,19,29,41...
how to form general equation for such questions i always get confused in these...
pls explain what u observe in a series to make its general equation
Explanation please
What is the meaning of the first part of the question?
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A hacker is trying to guess a password. They have worked out that the password has length 8, being a mix of 1 uppercase letter (from {A,...,Z}), 5 lowercase letters (from {a,...,z}) and 2 digits (from {0,...,9}). They do not know in which order these symbols occur in the password.
(a) How many passwords ļ¬t this description?
(b) If they ļ¬nd out that all 8 symbols in the password are diļ¬erent, how many passwords are possible?
(c) Suppose that all symbols in the password are diļ¬erent, and the hacker discovers the position of the lowercase letters and that one of them is āwā (without knowing which one). How many passwords are possible?
(d) Suppose we are the situation described in part (c). The hacker writes a program that repeatedly chooses one of the possible passwords uniformly at random, and tries it. The program tries six thousand such trials per second. What is the expected value of the number of minutes until the hacker cracks the password.Ā
Plonk Winery are packing āmixed dozensā for an upcoming sale. They have available 3 red varieties (Shiraz, Merlot and Cabernet) and 2 white varieties (Riesling and Verdelho). Each mixed dozen must contain 12 bottles, at least two of which must be red, and at least two must be white.
(a) How many mixed dozens are possible with these constraints?
(b) How many mixed dozens include at least one bottle of each of the 5 varieties?Ā
(c) Towards the end of the day, the supply of Merlot runs low. How many mixed dozens are there that contain at most one bottle of Merlot?
In a class, students were asked about their preference: Apple, Banana and Mango, 78% of liked at least one . 50% of the class liked apples, 30% liked bananas and 20% liked mangoes. If 6% of the students in the class liked all the three fruits, what percentage of students liked more than one fruit?
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this one
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Please help me with this question, Two beakers A and B contain water and 100% concentrated acid respectively. The ratio of the volume of the liquids in the beaker is 7:5. Now 'a' litres of acid from beaker B is poured into beaker A. Then 'b' litres of the solution from beaker A is poured into beaker B. If after the entire operation the concentration of acids in A and B are 30% and 70% respectively, find the ratio a:b?
Approach ? Anyone
This onee to ?? Soln
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this question is quite simple but i need to do this much faster ... look at question 55 .. if u go on to calculate for all 15 tests it would take a lot of time + results will be in fractions so further little bit more time to come up with answer
is there a better approach to this ?
Ā If S = 1 + 4/5 + 10/25 + 20/125 + 35/625 +.. Then 's is ?