An army contingent of 1232 members is to march behind an army band of 64 members in a parade. The two group are to march in the same number of columns. What is the maximum number of columns in which they can march.
To find the maximum number of columns, we find H.C.F. (1232, 64)
By using Euclid,s algorithm to find their H.C.F.
the maximum number of columns in which they can march in 16
Total no. of combinations are 4*3*2*1=24
There are 6 ways for making a pair of B-a, similarly 6 ways are possible for the pair A-c in these ways 2 ways are common hence total no. of rejected ways
=6+6-2=10
Similarly 6-6 ways are possible for the combination of C-b and C-d, in these ways 3-3 ways are affiliated with pair A-c and B-a hence only 3-3 ways are acceptable
A representation for the pair C-b is
C-b A-a B-c D-d (selected)
C-b A-a B-d D-c (selected
C-b A-c B-a D-d (rejected)
C-b A-c B-d D-a (rejected)
C-b A-d B-a D-c (rejected)
C-b A-d B-c D-a (selected)
If ten numbers are chased in a coded language by the following numbers given below then what will be next number in that coded language
3,3,5,4,4,3,5,5,4,3,.....
Total number of different letters = 5 ( H, O, T, S, P )
Number of Words having all the letters different = 5*4*3*2 = 120
Total number of repeated letters = 2 ( O, T )
If one letter is repeated then number of words = 2*(4*3/2)*(4*3*2*1/2) = 144
If two repeated letters are used then number of words = 6
Total number of words = 120 + 144 + 6 = 270
A man divides his property between 3 children in such a way that Mohan gets 50% of the total property. Gaurav gets fifth part of the remaining property. If Hemant gets 1 lacs 50 thousand rupee, then the total property is
Total property = 100 %
Part of Mohan = 50%
Part of Gaurav = 50%/5 = 10%
Part of Hemant = 40%
Given Part of Hemant = 150000
40% = 150000
Then total property = 150000*100/40 = 375000 Rs