Latest TCS Aptitude Question SOLUTION: . 12345................45 when divided by 46,remainder?

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. 12345................45 when divided by 46,remainder?

Asked In TCS MD (10 years ago)

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HEENA RATHORE  (10 years ago)

sorry the above ans is for other ques
its solution is
sum of no. till 45 by n(n+1)/2
=45*46/2=1035
now divide 1035 by 46...remainder is 1
(this method always works when no. is given as series 1234...,then find the sum of numbers upto the last [eg: 45 here],divide this sum by the given number i.e. divisor )
check it for other numbers..
1234/4
rem=2
also from sum/4=10/4
rem =2

Is this solution Helpfull? Yes (8) | No (11)  

camelia saha  (10 years ago)

remainder is 23 clearly!

Is this solution Helpfull? Yes (4) | No   

HEENA RATHORE  (10 years ago)

8/(3 sqrt(3))

let us suppose side of square and triangle be a and b res.
in terms of R radius of circle,
a=R sqrt(2) since (R=a/sqrt(2))...due to diagonal as diameter
b=R sqrt(2) since (R=a/sqrt(3))...due to equilateral triangle
now,

area of square a^2
-------------- = --------------
area of triangle (sqrt(3)/4)*(b^2)

puting values of a and b in th above we get
area of square (R sqrt(2))^2
-------------- = -------------------------
area of triangle (sqrt(3)/4)*((R sqrt(3))^2)
solving it,

area of square 8
-------------- = -----------
area of triangle 3 sqrt(3)

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