There is a safe with a 5 digit number as the key. The 4th
digit is 4 greater than the second digit, while the 3rd
digit is 3 less than the 2nd digit. The 1st digit is thrice
the last digit. There are 3 pairs whose sum is 11.
Find the number.
Answers were Sorted based on User's Feedback
Answer / guest
65292
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. Hence, the
answer is 65292.
| Is This Answer Correct ? | 97 Yes | 14 No |
Answer / niket
sum should b 11
so possible combinations are (2,9),(3,8),(4,7),(5,6)
that means 0 and 1 is not there.
let no is "abcde"
now given that,
d=b+4;
c=b-3;
hence d=c+7;
hence c must be 2
hence d=9;
hence b=5;
also a=3e is given
hence a=6 & e=2.
hence number is 65292
| Is This Answer Correct ? | 28 Yes | 3 No |
Answer / aman majhi
There are 5 digit
According to questions 4 th digit is greater than 2 digit and the 3 digit is 3 less than he 2 digit .
Assuming 2 digit from 0 to 9
We get the only possible numbers are
(4,1,8) and (529).
Now the 1 digit is thrice the 5 digit, that means if 1 digit is (3y) then the 5 digit is (y).
Assuming the possible numbers for y from 0 to 9 , we get the safe number as
(3,4,1,8,1)
(6,4,1,8,2)
(9,4,1,8,3)
(3,5,2,9,1)
(6,5,2,9,2)
(9,5,2,9,2)
Now there are three pair whose sum are 11 . The only possible set is (6,5,2,9,2).
Therefore the safe number is (6,5,2,9,2).
| Is This Answer Correct ? | 1 Yes | 1 No |
Answer / rohit
Ans: 64182
All conditions will be satified with this key.
| Is This Answer Correct ? | 9 Yes | 29 No |
Answer / guest
answer is 24186
here all conditions are saticified
and observe there are 3 pairs
i,e.(2,8,1)(1,4,6)(
| Is This Answer Correct ? | 4 Yes | 44 No |
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