Wednesday, 7 August 2013

Elitmus Questions With Solutions: Aptitude-3

11. If v,w,x,y,z are non negative integers each less than 11, then how many distinct combinations are possible of(v,w,x,y,z) which satisfy v(11^4) +w(11^3)+ x(11^2)+ y(11) +z = 151001 ?

12. In a certain examination paper there are n questions. For j=1,2,3,.....n, there are 2^(n-1) students who answered j or more question wrongly. If the total number of wrong answers is 4096 then the value of n is

13. How many six digit number can be formed using the digits 1 to 6, without repetition, such that the number is divisble by the digit at it's unit's place?

14. A natural number has exactly 10 divisors including 1 and itself. how many distinct prime factors can this natural number can have?

15. If m and n are two positive integers, then what is the value of mn? Given:

(1)7m + 5n= 29
(2) m + n= 5

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