Sunday, 2 September 2012

Boost your brain power!!

In a small get-together, all the guests greeted themselves by shaking hands. The number of handshakes exchanged were 36
altogether.Can you guess how many guests were present ?

Answer follows.

Imagine that there are only 4 guests namely A,B,C,D.Okay.Now the exchanges were like this. That is,

A to B,   A to C ,  A to D, 
B to C , B  to D, and  C to D . that is 6 hand shakes.= 3! {FACTORIAL 3 =3*2*1.where * is meant for multiplication.}

If there were ' n ' persons, the number of hand shakes is {n-1}!. i .e ,{n-1}{n-2}..............3.2.1.=Sum of first n-1 natural numbers.
Sum of 1 to n terms=n{n+1}\2

So number of hand shakes={n-1}{n-1+1}\2
                                       ={n-1}n\2  =  36   given.

                                       =n2 -n -72 = 0
                                       ={n-9}{n+8}=0
                                    n   =   9.
  So  9 guests were present.

Wednesday, 29 August 2012

ELITE

To develop commnication skills and literature knowledge among students of all affiliated colleges of Alagappa University  a two days Inter -Collegiate Seminar, ' English Learning Ignites Triumphant Excellence' '---ELITE  was organised.Delegates delivered lectures on interesting topics , Literature mellows man,Literature - an aesthetic art,Tone up and Tune up skills in English and English for triumphant excellence.








Saturday, 14 July 2012

Do Neutrinos travel faster than light?

E=MC^2

Albert Einstein's  famous equation of
Mass- Energy :  E = MC2.
The velocity of light, C interrelates, space and time. In 1905,  Albert Einstein postulated that the speed of light with respect to any inertial frame is independent of the motion of the light source and said ‘c’ had relevance outside of the context of light and electromagnetism.
Now a meter is defined as: the distance traveled by light in: 1⁄299,792,458 of a second.
Do Neutrinos travel faster than light?
According to scientists the neutrinos raced from a particle accelerator at CERN outside Geneva, where they were created, to a cavern underneath Gran Sasso in Italy, a distance of about 450 miles, about 60 nanoseconds faster than it would take a light beam. That amounts to a speed greater than light by about 0.0025 percent (2.5 parts in a hundred thousand).

The speed of light is approximately 186,282 miles per second. 

Time for light to travel 450 miles= 450/186282 = 0.002415692337 second.
                                              = .002415692337 X 1000000000= 2415692.337 nano second (ns).
Time taken by Nutrinos to travel 450 miles= 2415632.337, that is 60 ns faster or earlier.

GOD PARTICLE

                                                     God Particle

The Large Hadron Collider is a proton-smashing collider built in a 27-km or 17 mile tunnel  - a long machine created by physicists, where trillions of protons are made to collide with one another at mind-boggling speed in the hope that from the debris of these collisions scientists may spot the elusive particle that would explain the formation of the stars and the planets.

This experiment is guided by the theory associated with the British physicist Peter Higgs who, with five other physicists, proposed in a paper in 1964 that space is permeated by a force field. This invisible field, a kind of “cosmic molasses,” coats other particles when they pass through it and gives them the mass that allows them to combine into bigger forms of matter. You can’t see the molasses, but it should be possible to establish its presence by the traces it leaves behind. The Higgs boson is its manifestation, but even this eludes observation.

Six thousand physicists who were involved in this amazing experiment hailed the discovery of the Higgs boson, or what looked like it, as a milestone in the quest to understand nature.

Friday, 15 June 2012

Some solved model questions for basic numeracy for CSAT Examor CSAT Examor CSAT Exam.am

Basic numerical skills  or quantitative aptitude is essential for every individual who aspires to become an administrator by coming out successful  in Civil Services Exam..Some model problems are given below.

Quest. No(1)

The price of petrol increases from Rs.70 to Rs75 per litre.By  what percentage a person can decrease the  consumption of petrol so that his overall budget does not change ?
5x100 /70 = 7.14 %
 Let the Priceof petrol be Rs x per litre.
Let the cosumtion be y.
Then,
Total expenditure = Rs. xy. per month.
Increased  price= Rs1.0714x. per litre.
consumption = xy/1.10714x = 0.933y
Decreased  consumption of petrol to tally his overall  budget= 1-0.933=0.067=6.7%.

An easy method to solve..
Imagine a person consumes 30 liters petrol per month.
Then expenditure=Rs.30x70.=2100.
Present  expenditure after hike=Rs.30x75=2250 .
Decreased consumtion to tally the budget=2lit=6.7%