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Quantitative Aptitude – Practice – Solve the “EAT THAT APPLE” puzzle!

Puzzle Reasoning

 

PSA_LEVEL-UP_QNR42. If “EAT + THAT = APPLE”, what is the sum of A+P+P+L+E? Every alphabet used is representative of a distinct digit in decimal system [0 to 9]!

  1. 13
  2. 14
  3. 12
  4. None of these.

Ans:

Let us write the sum in the below fashion and proceed.

puzzle_1

The first thing to notice is the 1000th and 10,000th place as shown highlighted above. The sum of digits represented by E and H must have a “carry” such that this “carry” when added to “T” must result in AP.

The only “carry” possible for the sum “E+H” is 1. To verify this  assume for some time that every possible alphabet is nothing but the maximum possible digit i.e. 9. In that case the below is the calculation:

puzzle_2

Now, from the above you can be sure that “carry” can only be 1.

This tells us that “T” can be only “9”; as only a nine can result in two digit number “AP”.

Thus, if “T” is a “9”, AP is the two digit number “10”.

Let us now substitute in the original expression of sum the values of T,A,P with 9, 1 and 0 respectively.

puzzle_3

Now, it is easy for us to identify that “E” represents “8”. The expression becomes:

puzzle_4

At this point we can easily determine the values of L and H to be “3” and “2” respectively.

puzzle_5

Therefore, the value of A+P+P+L+E = 1+0+0+3+8 = 12. Option 3.

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