#1
The pacelength P is the distance between the rear of two consecutive footprints. For men,
the formula, n/P = 144 gives an approximate relationship between n and P where, n =
number of steps per minute and P = pacelength in meters. Bernard knows his pacelength
is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed
in kmph.
23.62
236.16
8.78
11.39
#2
There are two water tanks A and B, A is much smaller than B. While water fills at the
rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 .. in tank B.
(At the end of first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's
volume is filled after 3 hours, what is the total duration required to fill it completely?
8 hours
10 hours
7 hours
9 hours
#3
A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30,
statement n says "At most n of the statements on this sheet are false". Which statements
are true and which are false?
All statements are false.
The odd numbered statements are true and the even numbered are false.
All statements are true.
The even numbered statements are true and the odd numbered are false.
#4
The teacher is testing a student's proficiency in arithmetic and poses the following
question.
1/3 of a number is 3 more than 1/6 of the same number. What is the number?
Can you help the student find the answer?
12
6
18
21
#5
Given a collection of points P in the plane, a 1-set is a point in P that can be separated
from the rest by a line; i.e. the point lies on one side of the line while the others lie on the
other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P)
over all configurations P of 10 points in the plane is
10
3
5
9
#6
Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded
by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and
manufactured race cars before moving into production of street-legal vehicles in 1947
as Ferrari S.p.A.. Throughout its history, the company has been noted for its continued
participation in racing, especially in Formula One, where it has enjoyed great success.
Rohit once bought a Ferrari. It could go 2 times as fast as Mohit's old Mercedes. If the
speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952
km, find the total time taken in hours for Rohit to drive that distance.
14.88
476
15.88
29.75
#7
A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes
of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many
faces of the smaller cubes remain unpainted?
800
500
900
488
#8
A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes
in one direction and the hare in the other. The hare starts after the tortoise has covered
1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has
covered only 1/8 of the distance. By what factor should the hare increase its speed so as
to tie the race?
37.80
8
5
40
#9
Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a
square such that the two extreme circles touch two sides of the square and each middle
circle touches two circles on either side. Find the ratio of the radius of the circles to the
side of the square.
1:(2+ 7√2)
1:(4+ 7√3)
1:(2+ 6√2)
(2+ 7√2):1
# 10
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
# 11
Planet fourfi resides in 4-dimensional space and thus the currency used by its residents
are 3-dimensional objects. The rupee notes are cubical in shape while their coins are
spherical. However the coin minting machinery lays out some stipulations on the size of
the coins.
The diameter of the coins should be at least 64mm and not exceed 512mm.
Given a coin, the diameter of the next larger coin is at least 50% greater.
The diameter of the coin must always be an integer.
You are asked to design a set of coins of different diameters with these requirements and
your goal is to design as many coins as possible. How many coins can you design?
# 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 many lines of
code can be written by 72 programmers in 72 minutes?
432
6
72
12
# 13
Alok and Bhanu play the following min-max game. Given the expression
N = 12 + 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
-69
93
30
12
# 14
There are two boxes, one containing 10 red balls and the other containing 10 green balls.
You are allowed to move the balls between the boxes so that when you choose a box at
random and a ball at random from the chosen box, the probability of getting a red ball is
maximized. This maximum probability is
1/2
37/38
14/19
3/4
# 15
On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called
Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60
sec. As on earth, the hour hand covers the dial twice every day.
Find the approximate angle between the hands of a clock on Oz when the time is 12:40
am.
251
71
111
89
Tuesday, November 30, 2010
Monday, November 29, 2010
Sunday, November 28, 2010
A small Tutorial Zigbee -ZigBee Applications
ZigBee Applications :
Unwired applications are highly sought after in many networks that are characterized by numerous nodes consuming minimum power and enjoying long battery lives.
ZigBee technology is designed to best suit these applications, for the reason that it enables reduced costs of development, very fast market adoption, and rapid ROI.
Airbee Wireless Inc has tied up with Radiocrafts AS to deliver "out-of-the-box" ZigBee-ready solutions; the former supplying the software and the latter making the module platforms. With even light controls and thermostat producers joining the ZigBee Alliance, the list is growing healthily and includes big OEM names like HP, Philips, Motorola and Intel.
With ZigBee designed to enable two-way communications, not only will the consumer be able to monitor and keep track of domestic utilities usage, but also feed it to a computer system for data analysis.
A recent analyst report issued by West Technology Research Solutions estimates that by the year 2008, "annual shipments for ZigBee chipsets into the home automation segment alone will exceed 339 million units," and will show up in "light switches, fire and smoke detectors, thermostats, appliances in the kitchen, video and audio remote controls, landscaping, and security systems."
Futurists are sure to hold ZigBee up and say, "See, I told you so". The ZigBee Alliance is nearly 200 strong and growing, with more OEM's signing up. This means that more and more products and even later, all devices and their controls will be based on this standard. Since Wireless personal Area Networking applies not only to household devices, but also to individualised office automation applications, ZigBee is here to stay. It is more than likely the basis of future home-networking solutions.
A small Tutorial Zigbee
When you hold the TV remote and wish to use it you have to necessarily point your control at the device. This one-way, line-of-sight, short-range communication uses infrared (IR) sensors to enable communication and control and it is possible to operate the TV remotely only with its control unit.
Add other home theatre modules, an air- conditioner and remotely enabled fans and lights to your room, and you become a juggler who has to handle not only these remotes, but also more numbers that will accompany other home appliances you are likely to use.
Some remotes do serve to control more than one device after 'memorizing' access codes, but this interoperability is restricted to LOS, that too only for a set of related equipment, like the different units of a home entertainment system
Now picture a home with entertainment units, security systems including fire alarm, smoke detector and burglar alarm, air-conditioners and kitchen appliances all within whispering distance from each other and imagine a single unit that talks with all the devices, no longer depending on line-of-sight, and traffic no longer being one-way.
This means that the devices and the control unit would all need a common standard to enable intelligible communication. ZigBee is such a standard for embedded application software and has been ratified in late 2004 under IEEE 802.15.4 Wireless Networking Standards.
ZigBee is an established set of specifications for wireless personal area networking (WPAN), i.e., digital radio connections between computers and related devices. This kind of network eliminates use of physical data buses like USB and Ethernet cables. The devices could include telephones, hand-held digital assistants, sensors and controls located within a few meters of each other.
ZigBee is one of the global standards of communication protocol formulated by the relevant task force under the IEEE 802.15 working group. The fourth in the series, WPAN Low Rate/ZigBee is the newest and provides specifications for devices that have low data rates, consume very low power and are thus characterized by long battery life. Other standards like Bluetooth and IrDA address high data rate applications such as voice, video and LAN communications.
The ZigBee Alliance has been set up as "an association of companies working together to enable reliable, cost-effective, low-power, wirelessly networked, monitoring and control products based on an open global standard".
Once a manufacturer enrolls in this Alliance for a fee, he can have access to the standard and implement it in his products in the form of ZigBee chipsets that would be built into the end devices. Philips, Motorola, Intel, HP are all members of the Alliance . The goal is "to provide the consumer with ultimate flexibility, mobility, and ease of use by building wireless intelligence and capabilities into every day devices. ZigBee technology will be embedded in a wide range of products and applications across consumer, commercial, industrial and government markets worldwide. For the first time, companies will have a standards-based wireless platform optimized for the unique needs of remote monitoring and control applications, including simplicity, reliability, low-cost and low-power".
The target networks encompass a wide range of devices with low data rates in the Industrial, Scientific and Medical (ISM) radio bands, with building-automation controls like intruder/fire alarms, thermostats and remote (wireless) switches, video/audio remote controls likely to be the most popular applications. So far sensor and control devices have been marketed as proprietary items for want of a standard. With acceptance and implementation of ZigBee, interoperability will be enabled in multi-purpose, self-organizing mesh networks
tcs online exam sample questions ..
or u can view here also:
# 1
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 many lines of code can be written by 72 programmers in 72 minutes?
- 12
- 432
- 72
- 6
There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 .. in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's volume is filled after 3 hours, what is the total duration required to fill it completely?
- 10 hours
- 8 hours
- 9 hours
- 7 hours
# 3
Alok and Bhanu play the following min-max game. Given the expression
N = 12 + 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
- 93
- 30
- 12
- -69
# 4
Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.
- The diameter of the coins should be at least 64mm and not exceed 512mm.
- Given a coin, the diameter of the next larger coin is at least 50% greater.
- The diameter of the coin must always be an integer.
You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?
- 5
- 6
- 8
- 9
# 5
A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?
- 488
- 800
- 900
- 500
# 6
- The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.
- 236.16
- 8.78
- 23.62
- 11.39
A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?
- 5
- 8
- 40
- 37.80
# 8
Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 10 points in the plane is
- 5
- 10
- 9
- 3
# 9
There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is
- 37/38
- 14/19
- 3/4
- 1/2
# 10
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?
- 18
- 6
- 12
- 72
# 11
A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?
- All statements are true.
- The odd numbered statements are true and the even numbered are false.
- All statements are false.
- The even numbered statements are true and the odd numbered are false.
# 12
The teacher is testing a student's proficiency in arithmetic and poses the following question.
1/3 of a number is 3 more than 1/6 of the same number. What is the number?
Can you help the student find the answer?
- 18
- 21
- 6
- 12
# 13
On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.
Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.
- 71
- 89
- 251
- 111
# 14
Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.
- (2+ 7√2):1
- 1:(4+ 7√3)
- 1:(2+ 6√2)
- 1:(2+ 7√2)
# 15
Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.p.A.. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once bought a Ferrari. It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken in hours for Rohit to drive that distance.
- 14.88
- 29.75
- 476
- 15.88
Saturday, November 27, 2010
sample questions of tcs openseesame..
sample questions of tcs online exam......
# 1
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?
" 12
" 8
" 24
" 16
# 2
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
" 1
" 0.25
" 0.5
# 3
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?
" 64
" 256
" 192
" 54
# 4
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?
" 12/212
" 1/12
" 0
" 11/12
# 5
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).
" 8
" 6
" 9
" 7
# 6
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?
" 6
" 18
" 12
" 72
# 7
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 odd numbered statements are true and the even numbered are false.
" The first 26 statements are false and the rest are true.
" The first 13 statements are true and the rest are false.
" The even numbered statements are true and the odd numbered are false
# 8
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
" 18
" 12
" 13
# 9
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
" 4
" 0
" 1
" 3
# 10
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 can be a 0-move or a 1-move.
" Alice has no winning strategy.
" In order to win, Alice's first move should be a 1-move.
" In order to win, Alice's first move should be a 0-move.
# 11
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
" 0.0
" 20
" 27
" 18
# 12
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?
" The 39th statement is true and the rest are false.
" The odd numbered statements are true and the even numbered statements are false.
" All the statements are false.
" The even numbered statements are true and the odd numbered statements are false.
# 13
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
" Neither A nor B
" A only
" Both A and B
# 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?
" 375
" 500
" 3125
" 625
# 15
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
" 4/9
" 1/9
" 2/3
tcs online exam questions tcs online exam questions tcs online exam questions tcs online exam questions tcs online exam questions tcs online exam questions tcs online exam questions tcs online exam questions
# 1
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?
" 12
" 8
" 24
" 16
# 2
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
" 1
" 0.25
" 0.5
# 3
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?
" 64
" 256
" 192
" 54
# 4
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?
" 12/212
" 1/12
" 0
" 11/12
# 5
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).
" 8
" 6
" 9
" 7
# 6
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?
" 6
" 18
" 12
" 72
# 7
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 odd numbered statements are true and the even numbered are false.
" The first 26 statements are false and the rest are true.
" The first 13 statements are true and the rest are false.
" The even numbered statements are true and the odd numbered are false
# 8
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
" 18
" 12
" 13
# 9
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
" 4
" 0
" 1
" 3
# 10
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 can be a 0-move or a 1-move.
" Alice has no winning strategy.
" In order to win, Alice's first move should be a 1-move.
" In order to win, Alice's first move should be a 0-move.
# 11
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
" 0.0
" 20
" 27
" 18
# 12
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?
" The 39th statement is true and the rest are false.
" The odd numbered statements are true and the even numbered statements are false.
" All the statements are false.
" The even numbered statements are true and the odd numbered statements are false.
# 13
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
" Neither A nor B
" A only
" Both A and B
# 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?
" 375
" 500
" 3125
" 625
# 15
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
" 4/9
" 1/9
" 2/3
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Friday, November 26, 2010
tcs openseesame questions of my friend
Thursday, November 25, 2010
Why FPGA ?-FPGA Overview
Field Programmable Gate Arrays are two dimensional array of logic blocks and flip-flops with a electrically programmable interconnections between logic blocks.
The interconnections consist of electrically programmable switches which is why FPGA differs from Custom ICs, as Custom IC is programmed using integrated circuit fabrication technology to form metal interconnections between logic blocks.
In an FPGA logic blocks are implemented using mutliple level low fanin gates, which gives it a more compact design compared to an implementation with two-level AND-OR logic. FPGA provides its user a way to configure:
- The intersection between the logic blocks and
- The function of each logic block.
Logic block of an FPGA can be configured in such a way that it can provide functionality as simple as that of transistor or as complex as that of a microprocessor. It can used to implement different combinations of combinational and sequential logic functions. Logic blocks of an FPGA can be implemented by any of the following:
- Transistor pairs
- combinational gates like basic NAND gates or XOR gates
- n-input Lookup tables
- Multiplaexers
- Wide fanin And-OR structure.
Figure 1: Simplefied version of FPGA internal architecture.
Routing in FPGAs consists of wire segments of varying lengths which can be interconnected via electrically programmable switches. Density of logic block used in an FPGA depends on length and number of wire segments used for routing. Number of segments used for interconnection typically is a tradeoff between density of logic blocks used and amount of area used up for routing.
The ability to reconfigure functionality to be implemented on a chip gives a unique advantage to designer who designs his system on an FPGA It reduces the time to market and significantly reduces the cost of production.
Why do we need FPGAs ?
By the early 1980's Large scale integrated circuits (LSI) formed the back bone of most of the logic circuits in major systems. Microprocessors, bus/IO controllers, system timers etc were implemented using integrated circuit fabrication technology. Random "glue logic" or interconnects were still required to help connect the large integrated circuits in order to :
- generate global control signals (for resets etc.)
- data signals from one subsystem to another sub system.
Systems typically consisted of few large scale integrated components and large number of SSI (small scale integrated circuit) and MSI (medium scale integrated circuit) components.
Intial attempt to solve this problem led to development of Custom ICs which were to replace the large amount of interconnect. This reduced system complexity and manufacturing cost, and improved performance.However, custom ICs have their own disadvantages. They are relatively very expensive to develop, and delay introduced for product to market (time to market) because of increased design time. There are two kinds of costs involved in development of Custom ICs:
1. cost of development and design
2. cost of manufacture
( A tradeoff usually exists between the two costs)
Therefore the custom IC approach was only viable for products with very high volume, and which were not time to market sensitive.
FPGAs were introduced as an alternative to custom ICs for implementing entire system on one chip and to provide flexibility of reporogramability to the user. Introduction of FPGAs resulted in improvement of density relative to discrete SSI/MSI components (within around 10x of custom ICs). Another advantage of FPGAs over CustomICs is that with the help of computer aided design (CAD) tools circuits could be implemented in a short amount of time (no physical layout process, no mask making, no IC manufacturing)
Figure 2: FPGA comparative analysis.
Wednesday, November 24, 2010
khader's 1st test questions...from tcs openseecame
# 1
There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 .. in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's volume is filled after 3 hours, what is the total duration required to fill it completely?
- 7 hours
- 8 hours
- 10 hours
- 9 hours
# 2
The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.
- 11.39
- 236.16
- 23.62
# 3
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 many lines of code can be written by 72 programmers in 72 minutes?
- 432
- 72
- 6
- 12
Alok and Bhanu play the following min-max game. Given the expression
N = 12 + 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
- -69
- 93
- 30
- 12
# 5
A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?
- 488
- 900
- 800
- 500
# 6
Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 10 points in the plane is
- 3
- 9
- 10
- 5
# 7
Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.
- The diameter of the coins should be at least 64mm and not exceed 512mm.
- Given a coin, the diameter of the next larger coin is at least 50% greater.
- The diameter of the coin must always be an integer.
You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?
- 5
- 6
- 9
- 8
# 8
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?
- 72
- 6
- 12
- 18
There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is
- 1/2
- 14/19
- 3/4
- 37/38
# 10
Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.
- 1:(4+ 7√3)
- 1:(2+ 7√2)
- (2+ 7√2):1
- 1:(2+ 6√2)
11
A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?
- All statements are false.
- The odd numbered statements are true and the even numbered are false.
- All statements are true.
- The even numbered statements are true and the odd numbered are false.
# 12
A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?
- 40
- 5
- 37.80
- 8
13
On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.
Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.
- 71
- 111
- 251
- 89
# 14
The teacher is testing a student's proficiency in arithmetic and poses the following question.
1/3 of a number is 3 more than 1/6 of the same number. What is the number?
Can you help the student find the answer?
- 12
- 6
- 18
- 21
# 15
Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.p.A.. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once bought a Ferrari. It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken in hours for Rohit to drive that distance.
- 14.88
- 15.88
- 29.75
- 476
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my tcs questions..........
my openseesame questions..........
Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.
- 1:(4+ 7√3)
- (2+ 7√2):1
- 1:(2+ 7√2)
- 1:(2+ 6√2)
# 4
There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 .. in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's volume is filled after 3 hours, what is the total duration required to fill it completely?
- 9 hours
- 10 hours
- 8 hours
- 7 hours
# 5
The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.
- 8.78
- 11.39
- 236.16
- 23.62
6
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 many lines of code can be written by 72 programmers in 72 minutes?
- 6
- 432
- 72
- 12
7
Alok and Bhanu play the following min-max game. Given the expression
N = 12 + 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
- 93
- -69
- 12
- 30
# 8
Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.p.A.. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once bought a Ferrari. It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken in hours for Rohit to drive that distance.
- 15.88
- 476
- 14.88
- 29.75
A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?
- 500
- 900
- 800
- 488
# 10
The teacher is testing a student's proficiency in arithmetic and poses the following question.
1/3 of a number is 3 more than 1/6 of the same number. What is the number?
Can you help the student find the answer?
- 21
- 6
- 18
- 12
A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?
- The even numbered statements are true and the odd numbered are false.
- All statements are true.
- All statements are false.
- The odd numbered statements are true and the even numbered are false.
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