MBA Exam

A number is divided by 7,remainder is x. then divided by 19, leaves remainder 2x & when divided by 39, gives remainder 3x. if x=4,then find least possible such number?

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MBA Other Question

How many positive integer pairs (x, y) satisfy sqrt(x) + sqrt(y) = sqrt(2003) ?Please share the approach as well..

1) 0
2) 1
3) 2
4) 3
10 straight lines, no two of which are parallel and no three of which pass through any common point, are drawn on a plane. The total number of regions (including finite and infinite regions) into which the plane would be divided by the lines is(a) 56(b) 255(c) 1024(d) Not unique

1) 56
2) 255
3) 1024
4) None of the above