Question
If we increase each even digit by 1 and decrease each
odd digit by 1 in the number "8951752864" and then arrange all the digits in ascending order, then which digit will be 4 th from the left end after the rearrangement?Solution
8Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 4 9Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 5 After arranging all the number in ascending order, we get 0Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 9 Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 4th digit from the left end is "4".
- Statements: K < R ≤ G < V; K ≥ M > N; I > V
Conclusions:
I. K > I
II. I > M
III. N < G Statements: S @ O, O & E, E $ K, K # C
Conclusions: I. S @ K II. K @ O III. C @ E
...Statements: A > O = I ≥ C = D > K = P, P < M = R
Conclusions:
I. C > R
II. R > K
III. P ≤ O
Statements:Â R @ C % L #Â X & P $ AÂ # W; Q $ L @ X
Conclusions:
I. W @ L
II. A # Q
III. R @ X
...Statements: A ≥ B = C > D = F, H < G ≤ C, C > I ≥ J ≥ E
Conclusions:
I. H > F
II. A > E
III. H ≤ F
Statements: X = P ≥ M; M > M > I > L; P < L < G
Conclusions:
I. G > I
II. X ≥ L
III. L < L
Statement: D > T > G > C > M; J > C > U
Conclusion:
I. J > M
II. U < D
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are definitely true...
Statements: H < I; J < L < K; H ≥ L > M
Conclusions:
I. J < I
II. M < K
III. K > I
Statements: S > P = N ≥ G; Y = G ≥ J < O
Conclusions:
I. P ≥ J
II. J < P