Friday, December 17, 2010

Education : The Best of 2010

Education: The best of 2010
This was a year of ups and downs: On the upside, there was increased focus on the betterment of elementary education, with a slew of measures and resolutions making their way from Parliament to the thousands of schools in the country, but on the downside, India's position as a global education hub took a severe beating when the IITs and IIMs slipped several notches in the many 'best education' lists that made the rounds.
In this column we pay tribute to the top innovations and innovators of this year. In their own way, these ordinary people have made a difference in the lives of thousands of people the world over. While some have simplified complex processes for the layman to understand well, others have provided educational opportunities to hundreds of deserving but financially poor students. And one person has changed the way the world looks at India.


Here is Education's Best of 2010...
Education: The best of 2010
Purnachandra 'Chandoo' Rao: MS Excel blogger
Purnachandra Rao Duggirala, more popularly known in the cyber world as Chandoo has several illustrious achievements to his credit. Not only did the simple Vizag boy get into IIM Indore's class of 2006, he wrote his story in a manner that it gained cult status over time.
Four years after getting a campus placement at TCS, Chandoo quit his job in April 2010 to run a Microsoft Excel-training start up he had built on the side doing what many of us do non-seriously -- blogging. Last month, Chandoo's lean two-member blog 'Chandoo.org' recorded revenues of $100,000, justifying his decision to quit and be completely on his own.

Next: The Rs 1,500 laptop
Education: The best of 2010
The Rs 1,500 laptop
Human Resource Development Minister Kapil Sibal unveiled a Rs.1500 laptop designed specifically for students. The low-cost device would be made available to students in 2011.
When the ministry floated the concept of a low cost laptop some years ago, officials said it would cost Rs.500. It will now cost about three times the initial projections.
The ministry expects the prices to drop to Rs.1000 and reach Rs.500 as innovations are introduced.
The device, no bigger than a conventional laptop, is a single unit system with a touch screen and a built in key board along with a 2 GB RAM memory, wi-fi connectivity, USB port and powered by a 2-watt system to suit poor power supply areas.
"This is real and tangible and we will take it forward. Sun will rise for Indian students in 2011," Sibal said.
"If more companies decide to manufacture a similar device, prices will come down automatically," he added.


Next: MIT's Innovators par excellence
Education: The best of 2010
Indrani Medhi, Rikin Gandhi, Ranveer Chandra: On MIT Top Innovators list
Three Indians have made to the annual list of young innovators published by Massachusetts Institute of Technology's Technological Review magazine. The list, called TR35, is a collection of the top 35 innovators under the age of 35 in a particular year.
Rikin Gandhi, an aerospace engineer from the US stumbled upon rural India for the first time in his life. He was so taken up by it, he decided to stay. The 29-year-old is CEO of Delhi-based Digital Green, which began in 2006 at Microsoft Research, Bangalore. The non-profit organisation aids farmers produce agricultural videos on their own. The videos, starring locals, are then screened before the community using a $100 hand-held, battery-operated projector.
The others on the list are 34-year-old Ranveer Chandra, who has been recognised for delivering high-speed wireless Internet connections over longer distances in the US, and 32-year-old Indrani Medhi whose effort at building interfaces for the illiterate has been recognised.
Chandra, for his part, made the Microsoft campus in Redmond, Washington, his laboratory for the first large-scale network to show the potential of using white spaces to deliver broadband wireless as a solution to the problem that Wi-Fi uses frequencies that can't carry a signal more than a few metres.
Medhi, based at Microsoft Research India's Bangalore lab, has done field research in India, South Africa and Philippines to design text-free interfaces that could help illiterate people find jobs.


Next: The man behind the Rupee symbol
Education: The best of 2010
D Udaya Kumar: The man behind the Re symbol
Have you ever wondered who designed the text in your mobile phone? Or what thought went into the clarity of a road signage? Chennai boy D Udaya Kumar wondered years ago, and went on to pursue an unusual career in typography and designs, becoming one of the first post-graduate students from IIT-Bombay's Industrial Design Centre.
This year Kumar's name became part of Indian history, when his dynamic design for the symbol for the Rupee was approved by the Finance Minister as India's official currency sign.
An overwhelmed Kumar said, "My symbol is an amalgamation of several ideas -- it signifies the Devnagri script, which is the only script in the world which hangs from top. The central line, cutting through the 'R', subtly standardises it with other world currencies like the $, £ and Euro. Its top and bottom line together form an equal to (=) sign, denoting our belief in equality and together it also gives an appearance of the tricolour. I tried to balance Indianness and international mood in the symbol."


Next: Bihar's Super 30
Education: The best of 2010
Anand Kumar and Super 30
Super 30, if you haven't heard of it already, is an educational program that was started in Patna, under the banner of 'Ramanujan School of Mathematics', by Anand Kumar. Established in 2002, the program selects 30 meritorious and talented candidates each year from economically backward sections of society and trains them without charge for the IIT-JEE, the entrance examination for IITs. Time Magazine selected mathematician Anand Kumar's school in the list of Best of Asia 2010. Super 30 also received praise from United States President Barack Obama's special envoy Rashad Hussain, who termed it the "best" institute in the country. And Hollywood filmmaker James Cameron has hinted that he will make a film based on the unique school.
Newsweek Magazine has taken note of the initiative of mathematician Anand Kumar's Super 30 and included his school in the list of four most innovative schools in the world. Anand Kumar was awarded by top award of Bihar government Maulana Abdul Kalam Azad Shiksha Puraskar in November 2010.
Fascinated by mathematics since early childhood, Anand always dreamt of becoming a mathematician. He started showing sparks of brilliance since early days. In 1994, Anand got an opportunity to pursue higher education in Cambridge University, but his poor financial health came in the way.
Having witnessed extreme financial hardship since childhood, he felt the pangs of poverty so much that he decided to do something for the poor students, who invariably fade away without getting right opportunities. This led to the birth of new form of 'Ramanujam School of Mathematics', where he trained a small group of students for various competitive examinations without charging a fee. After a thorough screening, 30 poor, but talented students were shortlisted for the Super 30. Initially, making all arrangements for 30 students was not so easy, but Anand's family extended all help in his endeavour. Anand generated finances by tutoring students of other schools, while his mother, Jayanti Devi, cooked food for the students. For the students, there was only one goal - to study hard.
In 2003, when Super 30 started its journey, 18 out of 30 students cracked the IITs. The very next year, the number jumped to 22. In 2005, it improved further to 26. Continuing the trend, 28 students made it in 2006 and 2007. However, the 'magic moment' came in 2008, when the result was an astonishing 30 out of 30. Super 30 had hit the bull's eye. In 2009 and 2010, too, all 30 made it to the IITs.

Thursday, December 16, 2010

TCS 2011 Aptitude Questions

Note : Please post the corresponding solutions to this website so that someone from us can be benefitted.


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 # 1
After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
  • 1/12
  • 0
  • 11/12
  • 12/212

 #2
Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.
Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.
If the gold coin happens to be on top when it's a player's turn then the player wins the game.
Initially, the gold coinis the third coin from the top. Then
  • In order to win, Alice's first move should be a 1-move.
  • Alice has no winning strategy.
  • In order to win, Alice's first move can be a 0-move or a 1-move.
  • In order to win, Alice's first move should be a 0-move.

# 3
A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?
  • All the statements are false.
  • The even numbered statements are true and the odd numbered statements are false.
  • The 39th statement is true and the rest are false.
  • The odd numbered statements are true and the even numbered statements are false.

# 4
For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning.
Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
  • 5/9
  • 2/3
  • 1/9
# 5
A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?
  • 0.75
  • 0.25
  • 0.5
  • 1
# 6
36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
  • 11
  • 12
  • 13
  • 18
# 7
Alok and Bhanu play the following min-max game. Given the expression
N = 9 + X + Y - Z
where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be
  • 27
  • 0.0
  • 18
  • 20
# 8
A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least n of the statements on this sheet are true." Which statements are true and which are false?
  • The first 26 statements are false and the rest are true.
  • The odd numbered statements are true and the even numbered are false.
  • The even numbered statements are true and the odd numbered are false.
  • The first 13 statements are true and the rest are false.
# 9
On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula
d = 4 * √ (t - 8) for t ≥ 8
where d represents the diameter in mm and t the number of years since the solar blast.
Jagan recorded the radius of some echina at a particular spot as 8mm. How many years back did the solar blast occur?
  • 8
  • 16
  • 24
  • 12
# 10
10 people meet and shake hands. The maximum number of handshakes possible if there is to be no "cycle" of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ......, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ......, {ak-1, ak}, {ak, a1} shake hands).
  • 7
  • 9
  • 8
  • 6
  •  
  • # 11 
  • Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
  • 3
  • 4
  • 1
  • 0
# 12
The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?
  • 12
  • 6
  • 18
  • 72
# 13
The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?
  • 54
  • 64
  • 192
  • 256
# 14
Alok is attending a workshop "How to do more with less" and today's theme is Working with fewer digits . The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fewer digits.
The problem posed at the end of the workshop is
How many 5 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4?
Can you help Alok find the answer?
  • 3125
  • 625
  • 375
500
# 15
10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?
A. All suspects are lying or the leftmost suspect is innocent.
B. All suspects are lying and the leftmost suspect is innocent .
  • B only
  • Both A and B
  • A only
  • Neither A nor B

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