# CAT 2014 | Question: 46

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Suppose you have a currency, named Rubble, in three denominations: $1$ Rubble, $10$ Rubbles and $50$ Rubbles. In how many ways can you pay a bill of $95$ Rubbles?

1. $15$
2. $16$
3. $18$
4. $19$

19

x + 10y +50z = 95 ........(1)

z can take values , z= 0,1;

put z= 0 , then x+ 10y =95 , y can take 10 values (0 - 9 );

put z = 1 then x+10y = 45 , y can take  5 values ( 0 - 4);

therefore total 10+5 =15 values

OPTION A

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