Latest Exam Aptitude Question SOLUTION: If v, w, x, y and z are non negative integers, each less than 11, then how many distinct combination of (v,w,x,y,z) satisfy v(11^4)+w(11^3)+x(11^2)+y(11)+z = 151001 Option a) 0 b)

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(#M40034523) EXAM Numerical Ability question Keep an EYE

If v, w, x, y and z are non negative integers, each less than 11, then how many distinct combination of (v,w,x,y,z) satisfy
v(11^4)+w(11^3)+x(11^2)+y(11)+z = 151001
Option
a) 0
b) 1
c) 2
d) 3

Asked In Exam Aashu (10 years ago)

Solved RAKESH Read Solution (1)

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RAKESH  (10 years ago)

v(11^4)+w(11^3)+x(11^2)+y(11)+z= 151001

=> 11*( v*11^3 + w*11^2+ x*11 + y ) + z = 11*13727 + 4

=> ( v*11^3 + w*11^2+ x*11 + y )= 13727 & z = 4

=> 11*( v*11^2 + w*11 + x ) + y = 11*1247 + 10

=> ( v*11^2 + w*11 + x )= 1247 & y = 10

=> 11*( v*11 + w ) + x = 11*113 + 4

=> ( v*11 + w )= 113 & x = 4

=> ( v*11 + w ) = 11*10 + 3

=> v = 10 & w = 3

so, v=10, w=3, x=4, y=10 ,z=4

(v,w,x,y,z)=(10,3,4,10,4) => only one soln

so, only one distinct combination of (v,w,x,y,z)

b) 1

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