Number Puzzle #190

Which number should replace the question mark?

5:7:35 | 8:3:81 | 8:9:72 | 7:7:?

0 3 14 2 1 : 2 10 24 6 8 : 4 14 ? 5 6

Check your answer:-

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Answer is 71

as numbers add upto a multiple of 10 in every atom.

ex. 0 + 3 + 14 + 2 +1 =20

2 + 10 + 24 + 6 + 8 = 50

only option which can make the sum to a multiple of 10 for 4 + 14 + 5 + 6 is 71.

answered by Ram Balaji in disqus comments

Five Clues

**7 2 5**: 1 number is correct and placed in the wrong spot**3 1 7**: 2 numbers are correct and placed in the wrong spot**7 9 3**: 1 number is correct and placed in the proper spot**8 4 9**: nothing is correct.**8 9 1**: 1 number is correct and placed in the wrong spot.

Check your answer:-

from clue 3 and 4 -> 1 number can be 7 OR 3 (since 9 is not correct). Now if 7 was correct and placed in proper spot, it conflicts with Clue 1, thus 7 can’t be the correct number and the correct number is 3 and placed at proper spot (which is 3rd spot).

Now from 2nd clue -> two numbers are correct, one is 3 and other one should be 1 (as we know 7 can’t be correct number), since 1 is placed at wrong spot, correct spot for 1 should be first (since 3rd spot is for 3).

Again from Clue 1: 1 number is correct and placed at wrong spot. we are looking for a number at 2nd spot, it should be 5 (as 7 is not in picture and it can’t be 2 since it is placed at 2nd spot), 5 is placed at wrong spot, its correct spot should be 2nd, since we already know 1st and 3rd spot numbers.

Thus the PIN is 153.

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