MBA Exam Numerical Ability Number System

Some numbers can be expressed as the sum of three of their factors. E.g. 12 can be expressed as the sum of 2, 4 and 6. How many other such numbers are there which are less than 100?(a) 16 (b) 15 (c) 7 (d) 2

1) a
2) b
3) c
4) d

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MBA Other Question

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Consider the function f(x) =(1- x)(-1) + (1 - x)(-2)+ (1 - x)(-3) + (1 - x)(-4) defined over the range 0 < x < 1. Then the number of real roots of f(x) = 2 is/are

1) 0
2) 1
3) 2
4) 4
cot -1[{(1-sin a)^1/2+(1+sina)^1/2}/{(1-sina)^1/2- (1+sina)^1/2}]=..??

1) 2pie -a
2) pie-a/2
3) a/2 - 3pie
4) none of these