Google has conducted recruitment process in our collage.The criteria was first 30% topper
in the class.So around 40 student has attended the test & only 4 could clear the test.
Test consist of 15 question based on c,c++,and data structure.and two c programs.
So i am listing some of the question as i remembered.
Q1)
What is the value of i after execution of the following program.
void main()
{
long l=1024;
int i=1;
while(l>=1)
{ l=l/2;
i=i+1;
}
}
a)8 b)11 c)10 d)100ans:b
Q2)
This question is based on the complexity ...
Q3)
s->AB
A->a
B->bbA
Which one is false for above grammer..
Q3)
Some Tree were given & the question is to fine preorder traversal.
Q4)
One c++ program,to find output of the program..
Q5)
If the mean faliure hour is 10,000 and 20 is the mean repair hour.If the printer is used by
100 customer,then find the availability.
1)80% 2)90% 3)98% 4)99.8% 5)100%
Q6)One question on probability...
Q7)In a singly linked list if there is a pointer S on the first element and pointer L is on the last element.Then which operation will take more time based on the lenght of the list.
1)Adding element at the first.
2)adding element at the end of the list.
3)To exchange the fisrt 2 element.
4)Deleting the element from the end of the list.
ans:2check it!
3 more question to fine the output of the program.
and rest of the question was based on data structure,
some conditionwhere given and we have to conlude either y or n
The second section was coding...
1)Write a fucntion to multiply 2 N*N matrix
Write test cases for ur code.
2)S contains the set of positive integer.Find the largest number c such that c=a+b where a,b,c are distict number of the set.
Here is another solution using Mathematica,s Reduce command:
A faster (but slightly more obscure) piece of code is the following:
Faster still using the same approach (and requiring ~300 MB of memory):
Even faster using the same approach (that does not exclude leading zeros in the solution, but that can easily be weeded out at the end):
Here is an independent solution method that uses branch-and-prune techniques:
And the winner for overall fastest:
2. Write a haiku describing possible methods for predicting search traffic seasonality.
MathWorld,s search engine seemed slowed this May. Undergrads prepping for finals.
3. 1 1 1 2 1 1 2 1 1 1 1 1 2 2 1 What,s the next line?
312211. This is the "look and say" sequence in which each term after the first describes the previous term: one 1 (11); two 1s (21); one 2 and one 1 (1211); one 1, one 2, and two 1,s (111221); and so on. See the look and say sequence entry on MathWorld for a complete write-up and the algebraic form of a fascinating related quantity known as Conway,s constant.
4. You are in a maze of twisty little passages, all alike. There is a dusty laptop here with a weak wireless connection. There are dull, lifeless gnomes strolling around. What dost thou do?
A) Wander aimlessly, bumping into obstacles until you are eaten by a grue. B) Use the laptop as a digging device to tunnel to the next level. C) Play MPoRPG until the battery dies along with your hopes. D) Use the computer to map the nodes of the maze and discover an exit path. E) Email your resume to Google, tell the lead gnome you quit and find yourself in whole different world [sic].
In general, make a state diagram . However, this method would not work in certain pathological cases such as, say, a fractal maze. For an example of this and commentary, see Ed Pegg,s column about state diagrams and mazes .
5. What,s broken with Unix?
Their reproductive capabilities.
How would you fix it?
[This exercise is left to the reader.]
6. On your first day at Google, you discover that your cubicle mate wrote the textbook you used as a primary resource in your first year of graduate school. Do you:
A) Fawn obsequiously and ask if you can have an autograph. B) Sit perfectly still and use only soft keystrokes to avoid disturbing her concentration C) Leave her daily offerings of granola and English toffee from the food bins. D) Quote your favorite formula from the textbook and explain how it,s now your mantra. E) Show her how example 17b could have been solved with 34 fewer lines of code.
[This exercise is left to the reader.]
7. Which of the following expresses Google,s over-arching philosophy?
A) "I,m feeling lucky" B) "Don,t be evil" C) "Oh, I already fixed that" D) "You should never be more than 50 feet from food" E) All of the above
[This exercise is left to the reader.]
8. How many different ways can you color an icosahedron with one of three colors on each face?
For an asymmetric 20-sided solid, there are possible 3-colorings . For a symmetric 20-sided object, the Polya enumeration theorem can be used to obtain the number of distinct colorings. Here is a concise Mathematica implementation:
What colors would you choose?
[This exercise is left to the reader.]
9. This space left intentionally blank. Please fill it with something that improves upon emptiness.
For nearly 10,000 images of mathematical functions, see The Wolfram Functions Site visualization gallery .
10. On an infinite, two-dimensional, rectangular lattice of 1-ohm resistors, what is the resistance between two nodes that are a knight,s move away?
This problem is discussed in J. Cserti,s 1999 arXiv preprint . It is also discussed in The Mathematica GuideBook for Symbolics, the forthcoming fourth volume in Michael Trott,s GuideBook series, the first two of which were published just last week by Springer-Verlag. The contents for all four GuideBooks, including the two not yet published, are available on the DVD distributed with the first two GuideBooks.
11. It,s 2PM on a sunny Sunday afternoon in the Bay Area. You,re minutes from the Pacific Ocean, redwood forest hiking trails and world class cultural attractions. What do you do?
[This exercise is left to the reader.]
12. In your opinion, what is the most beautiful math equation ever derived?
There are obviously many candidates. The following list gives ten of the authors, favorites:
1. Archimedes, recurrence formula : , , , 2. Euler formula : 3. Euler-Mascheroni constant : 4. Riemann hypothesis: and implies 5. Gaussian integral : 6. Ramanujan,s prime product formula: 7. Zeta-regularized product : 8. Mandelbrot set recursion: 9. BBP formula : 10. Cauchy integral formula:
An excellent paper discussing the most beautiful equations in physics is Daniel Z. Freedman,s " Some beautiful equations of mathematical physics ." Note that the physics view on beauty in equations is less uniform than the mathematical one. To quote the not-necessarily-standard view of theoretical physicist P.A.M. Dirac, "It is more important to have beauty in one,s equations than to have them fit experiment."
13. Which of the following is NOT an actual interest group formed by Google employees?
A. Women,s basketball B. Buffy fans C. Cricketeers D. Nobel winners E. Wine club
[This exercise is left to the reader.]
14. What will be the next great improvement in search technology?
Semantic searching of mathematical formulas. See http://functions.wolfram.com/About/ourvision.html for work currently underway at Wolfram Research that will be made available in the near future.
15. What is the optimal size of a project team, above which additional members do not contribute productivity equivalent to the percentage increase in the staff size?
A) 1 B) 3 C) 5 D) 11 E) 24
[This exercise is left to the reader.]
16. Given a triangle ABC, how would you use only a compass and straight edge to find a point P such that triangles ABP, ACP and BCP have equal perimeters? (Assume that ABC is constructed so that a solution does exist.) This is the isoperimetric point , which is at the center of the larger Soddy circle. It is related to Apollonius, problem . The three tangent circles are easy to construct: The circle around has diameter , which gives the other two circles. A summary of compass and straightedge constructions for the outer Soddy circle can be found in " Apollonius, Problem: A Study of Solutions and Their Connections" by David Gisch and Jason M. Ribando.
17. Consider a function which, for a given whole number n, returns the number of ones required when writing out all numbers between 0 and n. For example, f(13)=6. Notice that f(1)=1. What is the next largest n such that f(n)=n?
The following Mathematica code computes the difference between [the cumulative number of 1s in the positive integers up to n] and [the value of n itself] as n ranges from 1 to 500,000:
The solution to the problem is then the first position greater than the first at which data equals 0:
which are the first few terms of sequence A014778 in the On-Line Encyclopedia of Integer Sequences.
Checking by hand confirms that the numbers from 1 to 199981 contain a total of 199981 1s:
18. What is the coolest hack you,ve ever written?
While there is no "correct" answer, a nice hack for solving the first problem in the SIAM hundred-dollar, hundred-digit challenge can be achieved by converting the limit into the strongly divergent series:
and then using Mathematica,s numerical function SequenceLimit to trivially get the correct answer (to six digits),
You must tweak parameters a bit or write your own sequence limit to get all 10 digits.
[Other hacks are left to the reader.]
19. ,Tis known in refined company, that choosing K things out of N can be done in ways as many as choosing N minus K from N: I pick K, you the remaining.
This simply states the binomial coefficient identity .
Find though a cooler bijection, where you show a knack uncanny, of making your choices contain all K of mine. Oh, for pedantry: let K be no more than half N.
,Tis more problematic to disentangle semantic meaning precise from the this paragraph of verbiage peculiar.
20. What number comes next in the sequence: 10, 9, 60, 90, 70, 66, ?
A) 96 B) 1000000000000000000000000000000000\ 0000000000000000000000000000000000\ 000000000000000000000000000000000 C) Either of the above D) None of the above
This can be looked up and found to be sequence A052196 in the On-Line Encyclopedia of Integer Sequences, which gives the largest positive integer whose English name has n letters. For example, the first few terms are ten, nine, sixty, ninety, seventy, sixty-six, ninety-six, …. A more correct sequence might be ten, nine, sixty, googol, seventy, sixty-six, ninety-six, googolplex. And also note, incidentally, that the correct spelling of the mathematical term " googol" differs from the name of the company that made up this aptitude test.
The first few can be computed using the NumberName function in Eric Weisstein,s MathWorld packages:
A mathematical solution could also be found by fitting a Lagrange interpolating polynomial to the six known terms and extrapolating:
21. In 29 words or fewer, describe what you would strive to accomplish if you worked at Google Labs.
Are you willing to give up the role of a team leader and creative writer to be an Adword Representative?
How do you think this position can help your job profile?
If Adwords was not associated with Google, would you have accepted the position?
Yahoo and Microsoft has similar positions, why do you want to join Google only?
You say you want a change in your career and use more of your skills, what other job profiles do you think would have suited you?
What is your biggest failure in life?
Have you been in a position when one of your colleagues did not do his share of work? How did you handle the situation?
Suppose there is a project going on in full swing and two of your colleagues just fall sick, how will you handle the position?
If you had to sell the job of AdwordsRepresentative to a friend, what would you say to them?
Tell me about a situation where just couldn,t get along with one of your team members. What did you do?
Have you ever faced a situation you didn,t like at job? How did you face it?
Do you have any questions to ask?
Besides what HR sent you, what did you do to research about the position?
What Google services you have used till date? Choose one of them and tell what change would you like to make in it?
Your company generates revenue through Adsense. What kind of ads show up on your webpage? Why do you think Indian ads do not show up on your website,s page?
Do you know any of the Google terms and policies regarding Adwords?
What did you liked about Google? Do you like the peole here?
Which interviewer you liked the best? Why?
Google has a flat system with not much vertical hierarchy system. It is based on meritocracy. If a person joins 6 months after you and becomes your mentor in a year, how would you handle the situation?
Are you comfortable not having a vertical ladder to move on?
At Google, you may have to deal with people who are freshers and ones who are much more qualified than you are. How will you balance out the situation and maintain relationships with all of them?
You say you are flexible, adaptable and client-friendly. How? Give examples.
The online test consists of 4 modules. For each module a timer is set (at the right hand side bottom of the screen).Total time given is 40 minutes.
Module 1:English (duration 5 min). It consists of a single passage followed by 5 questions.
Module 2:General aptitude(duration 10 min) It consists of 6 questions based on simple logics. For eg:1),Z, was invited by his brother ,A, to attend his daughter ,B,s birthday party who was busy dancing with her brother ,C,. What is ,Z, to ,C,? a)Uncle b)Nephew c)Cousin d)No relation at all ANS:- a, Uncle. In a similar way questions based on relations,cost etc etc were asked.
Module 3:-Technical questions(duration 15 min) It consists of 15 questions where some are web based, html, protocals etc etc. For this section going through COMPUTER NETWORKS subject will be helpful to a great extent.
Module 4:-Test on Analysis(duration 10 min) This section is the most time consuming one.Here we are asked to Rate certain sites along with an explanation. The images of these sites are also provided to us for a clear view and better understanding. The completion of this section(on time)is entirely based on your typing speed and at the same time you have to be good at assesing.
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