MBA Exam Logical Reasoning Decision Making and Problem Solving

Find the number of zeros in the product 1^1*2^2*3^3..............................100^100. kindly post solution as well

1) 1200
2) 1300
3) 1050
4) 1225

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MBA Other Question
How many pairs of natural numbers are there, the difference of whose squares is 39?

1) 1
2) 2
3) 3
4) 4
 At how many distinct points do the following two curves intersect above the x-axis?y = x5 + 3x4 + x3 + x – 10 y = x5 + 2x4 + x3 + 5x2 + x – 14

1) 1
2) 2
3) 3
4) 4