MBA Exam

A positive whole number M less than 100 is represented in base 2 base 3 base 5 notation.it is found that in all 3 cases the last digit is 1.while in exactly two out of the three cases the leading digit is 1 then M equals

1) 31
2) 63
3) 75
4) 91
5) none of these

Read Solution (Total 1)

91 base 10= 1011011 base 2=10101 base 3 =331 base 5.so the ans is 91
8 years agoHelpfull: Yes(0) No(0)

MBA Other Question

. Two functions are defined on xy plane for any arbitary point (x, y). Given, f(x, y) = (ax, y) and g(x, y) = (x, by) where x, y, a, b are positive. If the quadrilateral formed by (3, 4), f(3, 4), (5, 6) and g(5, 6) is convex, then which of the following is true?

1) If b > 1, then a < 5/3
2) If a > 5/3, then b > 2/3
3) If 1 < a < 5/3 then b < 2/3
4) Atleast two of the foregoing
Let Sm denote the sum of the cubes of first m natural numbers. For How many values of m<=50,is Sm a multiple of 5?

1) 20
2) 21
3) 22
4) 23