TCS new pattern Question 2013

My name is PREET.But my son accidentally types the by interchanging a pair of letters in my name.What is the probability that despite this interchange, the name remains unchanged? a.5% b.20% c.25% d.12.5%

Ans:

10%

there are 10 possible pairs

out of which 1 will not change my name.

so probability that name remains unchanged = 1/10 = 10%

Roy is now 4 year older than Erik and half of that amount than Lewis.If in two years Roy will be twice as old as Erick,then in two year what would be Roy age multiplied by Lewis age??

Ans:ans is 48
firstly two equation from 1st sentence ..
suppose roy=x, erik=y, lewis=z
so x=y+4....(1)
2nd is x=z+2...(2) (Roy is now 4 year older than Erik and half of that amount than Lewis so 4/2=2)
also after 2 years erik and roy relation wil b
x+2=2(y+2).. (3)
so put this into 1st equ. u will get y=2..
and then x=6,z=4(by substituting other)
nw asking multiplication after two years of roy n lewis is (6+2)*(4+2)=48..

a man cut small cubes of 3 cubic cms each. Which he joined to form a cube wit 10 cubes length, 3 cubes in depth and 3 cubes wide. How many more small cubes does she require to form a perfect cube?

 Ans:

At present, the number of cubes used are 10*3*3=90. For a perfect cube, the cube should be 10 cubes length, 10 cubes in depth, and 10 cubes wide, i.e. 10*10*10=1000. So, additional number of cubes required is 1000-90= 910

one person has no siblings and says,"the guy in the photo is the only son of my fathers's son". what is the relation of the guy to the person

Ans:

His own son.

in a shopping mall with staff of 5 members, the average is 45.After 5 years a person joined them and the average is again 45. what is the age of 6th person?

Ans:

Since the average age is 45 yrs for the 5 members.
sum total of their ages = 45 X 5=225 yrs.
after 5 years, sum total of their ages = 225 + ( 5 X 5 ) = 250 yrs
now , let x be the age of the 6th person, so
the sum total of age is now = (250 + x ) yrs.
given the average is 45 yrs.
so,
( 250 + x )/ 6 = 45
or, x = 20 yrs.
so, the age of the 6th person is 20 years.

49 members attend the party.in that 22 are males,17 females.the shake hands between males,females,male,female.total 12 people given shake hands.how many such kinds of such shake hands are possible?

If you mean only 12 persons shook hands .
then 12C2 = 66 possible shake hands

what is the reminder when 6^17+17^6 is divided by 7?

First break the sum into two parts..
(i) 6^17 (ii) 17^6

sol-(i)- By remainder theorem there are always two remainders for any number, i.e. one is in negative and another is positive. In this case when we divide 6 by 7 we will get two remainders that is 6 and (-1). We can take any of these but for simplicity we will take (-1) is the remainder. Now (-1)^17 = -1.

sol-(ii)-- we have 17^6.. Now. 17^6 /7 = 3^6/7= (3^3)^2/7 = 27^2/7 = (-1)^2/7 = 1 is the remainder.

On adding case -(i) and (ii)... we will get final remainder = 0.

or

1   6^17 mod 7=(7-1)^17 mod 7
so 7^17 divide by 7 and remainder will 0,so we only take (-1)^17 mod 7=-1

2) 17^6 mod 7=(7*2+3)^6
so now (7*2)^17 divide by 7 and remainder will 0,so we only take (3)^6 mod 7=
729 mod 7=1
now add (1)+(2)
-1+1=0(ans)

What is the greatest possible positive integer n if 8^n divides (44)^44 without leaving a remainder?
a)14 b)28 c)29 d)15

Ans:

44^44 = 2^88 *11^44
= 8^29 * 2 * 11^44
so ans is 29

Complete the series 2, 7, 24, 77,__
Ans: 240

Ans:

(1st no.*3)+1=(2*3)+1=7
(2nd no.*3)+3=(7*3)+3=24
(3rd no.*3)+3=(24*3)+5=77
(4th no.*3)+1=(77*3)+7=238

or

ist*12=3rd 2*12=24
2nd*11=4th 7*11=77
3rd*10=5th 24*10=240

or

(2*3)+1=7
(7*3)+3=24
(24*3)+5=77
so ans is (77*3)+7=240

 

There is a circular pond and there is a road around the pond. The road is 4ft wide. The area of the pond is 11/25 of the area of the road. What is the radius of the pond?

Ans:let radius of pond=r
then,radius of road=r+4
since area of pond=11/25(area of road)
pi r^2=11/25 pi[(r+4)^2-r^2]
after solving this equa we get
25r^2-88r-176=0
r=4.94

There are two container. The volume of the second container is twice than the first. Half of the first cont. is filled with Wine & The one quarter of the second container is filled with wine. Now the remaining of the both container is filled with water. There is a third container which is enough to have the total liquid of the first two containers. What will be the ratio of the total volume and wine of the third container? Answer will be 1:3

Ans:consider A(first container)=100 for A wine filled half 100/2= 50
consider B(second container)=200 for B wine filled 1/4(200)=50
this two container mixed in 3rd container let as C=300
the ratio of wine to the volume of C is 100/300=1/3(1:3)

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Sundeep is a Founder of Youth Talent Auzzar, a passionate blogger, a programmer, a developer, CISE and these days he is pursuing his graduation in Engineering with Computer Science dept.

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Kolkata Boy Shouryya Ray Creates History by Cracking 350-Year-Old Maths Puzzles Set by Sir Isaac Newton

A 16-year-old Kolkata boy Shouryya Ray, who arrived Germany 4 years ago, surprised the world by solving two fundamental particle dynamics theories which physicists could calculate only by using powerful computers. Hundreds and thousands of geniuses have already tried their hands and brains on it and Shouryya Ray is the first ever person to have succeeded with flying colors. His solutions will now enable scientists to calculate the flight path of a thrown ball and how it will exactly hit and bounce off a wall for which they had been waiting for more than 350 years.

Shouryya Ray’s journey of solving the maths puzzles started when he heard that the 350 years old puzzle was unsolvable from professors of Dresden University during a school trip. His reaction was “Why not?” “I didn’t believe there couldn’t be a solution” he added and the next what he did, all at the age 16, is history.

He is the son of an engineer who discovered his son’s exceptional intellect after testing his brain with complicated arithmetic problems.

What can we learn from Shouryya Ray?

His accomplishment is greatest which will lead scientist to solve some of the biggest unsolved questions of our time; however, he desires to stay humble and little. He says ‘I’m no genius’ and credits his achievement to ‘hard work in right direction.

Be ready to learn anything. When he arrived Germany at the age of 12, he had no prior knowledge of German but today he is fluent in the language.

Don’t believe in things simply because you are told ‘it is not possible’ by any genius, ask question to yourself and see what answer you receive. Shouryya Ray could accomplish the most difficult task because of the question ‘Why not’ which he posed to himself.

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