There is a five digit number The fourth digit is 4 greater than second digit while third digit is 3 ...........

Quantitative Aptitude ( CCS) Number System

There is a five digit number. The fourth digit is 4 greater than second digit, while third digit is 3 less than second digit. The first digit is thrize the last digit. These are three pairs whose sum is 11. Find the number?

35291

65292

63072

95293

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Explanation:

As per given conditions, there are three possible
combinations for 2nd, 3rd and 4th digits. They are (3, 0,
7) or (4, 1, 8) or (5, 2, 9)
It is given that there are 3 pairs whose sum is 11. All
possible pairs are (2, 9), (3, 8), (4, 7), (5, 6). Now
required number is 5 digit number and it contains 3 pairs
of 11. So it must not be having 0 and 1 in it. Hence, the
only possible combination for 2nd, 3rd and 4th digits is
(5, 2, 9)
Also, 1st digit is thrice the last digit. The possible
combinations are (3, 1), (6, 2) and (9, 3), out of which
only (6, 2) with (5, 2, 9) gives 3 pairs of 11. the number is 65292.