X receives three coins of different denominations : 1, 2, 5, 10 and 20. If the total amount received by X is m, does X receive a coin of denomination 5? Statement I : m is not a prime number. Statement II : The sum of the digits of m is greater than 5.

X receives three coins of different denominations : 1, 2, 5, 10 and…

Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
Select this option if the question can be answered using either statement alone
Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
Select this option if the question cannot be answered even using any of the statements

Answer

Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement

Possible 3-coin sums from {1,2,5,10,20} are 8, 13, 23, 16, 26, 31, 17, 27, 32, 35. With coin 5: 8,16,17,26,27,35. Without coin 5: 13,23,31,32.
Statement I: m is not prime. Non-prime sums include 8,16,26,27,32,35. Since 32 is possible without coin 5, this is not sufficient.
Statement II: digit sum of m > 5. This holds for 8,16,17,26,27,35 only, and all these include coin 5. So this alone is sufficient.

Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement

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