elitmus Maths Puzzle Numerical Ability

A number x is written in base b such that sum of its digit is 9 and non of the digit is 0 if 2<=b>=9 find the maximum value of the decimal equivalent

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elitmus Other Question

Sherlock homes and Dr Watson have to travel from Rajiv Gandhi Chowk to Indira Gandhi International airport via metro.they have enough coins of 1,5,10,25 paise. Sherlock agrees to pay for Dr Watson only if he tells all the possible combinations of coins that can be used to pay for the ticket.asked in Elitmus on 3rd August

Q.how many combinations are possible,if the fare is 50 paise.
a.52 b.49 c.45 d.44
X and n are two coins(paisa)less the 1 rupee find the probability of selecting x and n such that x^2+n^2>100 paisa.
Option
A 57/9702
B. 60/9702
C. 64/9702