CAT Exam

Consider the sets T = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3, … , 96. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, …)?

Read Solution (Total 2)

80 sets are there.

any set with n= 6x+1 will not be included.
like (7,8,9,10,11) , (13,14,....17),......
12 years agoHelpfull: Yes(1) No(1)

when n=7,13,19,.......91 the set do not contain 6 or its multiples i.e---16 terms

hence total values for n =96-16=80
7 years agoHelpfull: Yes(0) No(0)

CAT Other Question

Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90degree
or concave if the internal angle is 270degree
.If the number of convex corners in such a polygon is 25, the number of concave corners must be?? what is the value of log(e(e(e.....)^1/2)^1/2)^1/2)?

a)0
b)1/3
c)1/2
d)1