All these problems are based HCR's Rank formula

1. Q.1: If the words obtained by permuting all the letters of ‘OPPOSITE’ together are arranged in the alphabetic order, alphabetic order of given word ‘OPPOSITE’ is
Q.2: The words obtained by permuting all the letters of ‘COMMUNITY’ together are arranged in the alphabetic order then alphabetic order of the word ‘CONUMMITY’ is
Q.3: If words obtained by permuting the letters A, E, I, I, N, T, together are arranged in the alphabetic order, alphabetic order of the word ‘INERTIA’ is
Q.4: The words obtained by permuting the letters C, C, I, I, I, M, R, S, T, together are arranged in the alphabetic order then alphabetic order of the word ‘CRITICISM’ is
Q.5: The words obtained by permuting all the letters of ‘SYNONYM’ together are arranged in the alphabetic order then alphabetic order of the word ‘SYNONYM’ is
Q.6: The words obtained by permuting the letters A, A, B, E, G, L, R, together are arranged in the alphabetic order then alphabetic order of the word ‘ALGEBRA’ is

2. Q.7: The words obtained by permuting the letters E, I, I, N, S, T, T, T, U, together are arranged in the alphabetic order then alphabetic order of the word ‘INSTITUTE’ is
Q.8: The words obtained by permuting the letters A, C, M, U, U, V, together are arranged in the alphabetic order then the pair(s) of successive words is (are)
Q.9: The words obtained by permuting the letters E, H, L, S, T, T, U, together are arranged in the alphabetic order then the pair(s) of successive words is (are)
Q.10: The words obtained by permuting all the letters of ‘EDUCATION’ together are arranged in the alphabetic order then alphabetic order of the word ‘ECUDATION’ is
Q.11: The numbers obtained by permuting the digits 2, 4, 5, 5, 7, 9, together are arranged in the increasing order then increasing order of the number ‘542957’ is
Q.12: The numbers obtained by permuting the digits 3, 3, 4, 6, 6, 6, 8, 9, together are arranged in the increasing order then increasing order of the number ‘64693836’ is
Q.13: The numbers obtained by permuting the digits 1, 2, 2, 2, 2, 6, 6, 7, 8, together are arranged in the decreasing order then decreasing order of the number ‘628262721’ is

3. Q.14: The numbers obtained by permuting the digits 1, 0, 0, 0, 0, 2, 2, 3, together are arranged in certain orders. If ‘rank’ of a number denotes its increasing or decreasing order then which is (are) true
Q.15: The numbers obtained by permuting the digits 2, 4, 4, 5, 5, 5, 7, together are arranged in certain orders. If ‘rank’ of a number denotes its increasing or decreasing order then which is (are) true
Q.16: The numbers obtained by permuting the digits 0, 0, 0, 4, 7, 9, 9, together are arranged in the increasing order then increasing order of the number ‘9097400’ is
Q.17: The numbers obtained by permuting the digits 2, 4, 4, 5, 5, 5, 7, together are arranged in the increasing order then the total numbers lying between ‘2457554’ & ‘5457524’ are
Q.18: The numbers obtained by permuting the digits 0, 0, 0, 4, 7, 9, 9, together are arranged in certain orders. If ‘rank’ of a number denotes its increasing or decreasing order then which is (are) true

4. Q.19: The words obtained by permuting the letters A, B, C, D, E, F, G, H, together are arranged in the alphabetic order then rank (alphabetic order) of the word ‘BGHFDEAC’ is
Q.20: The words obtained by permuting the letters A, B, C, D, E, F, G, H, together are arranged in alphabetic order then which is (are) true
Q.21: The numbers obtained by permuting the digits 9, 9, 7, 0, 0, 0, 4, together are arranged in the increasing order then the total numbers lying between ‘4070099’ & ‘9400079’ are
Q.22: The words obtained by permuting the letters A, B, C, D, E, F, G, H, together are arranged in the alphabetic order then rank (alphabetic order) of the word ‘HFADBGCE’ is
Q.23: The words obtained by permuting the letters A, B, C, D, E, F, G, H, together are arranged in the alphabetic order then the total no. of the words lying between ‘DGFABHEC’ & ‘GHFEDBCA’ is

5. Q.24. If Pre-defined linear-sequence of certain algebras according to priority of their colours is as follows & all the linear arrangements obtained by permuting all the algebras together are arranged in the correct sequence according to the pre-defined priority. Now the rank (correct position) of any randomly selected linear permutation in the same order of priority is
Q.25. If all the linear permutations obtained by permuting certain algebras together which have a pre-defined linear sequence as follows are arranged in the correct order of priority then which is (are) true
Q.26. If all the linear permutations obtained by permuting certain articles together which have a pre-defined linear sequence as follows are arranged in the correct order of priority then the rank (correct position) of any randomly selected permutation in the same order is