TCS Company Numerical Ability Algebra

An ant starts moving on the mesh shown below along the wires towards a food particle.If the ant is at the bottom-left corner of cell A and the food is at the top-right corner of cell F, then find the number of optimal routes for the ant.
(a) 13884156 (b) 3465280 (c) 4368 (d) 6748

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TCS Other Question

Find the number of ways a batsman can score a double century only in terms of 4’s & 6’s? What is the value of (2^2 + 4^2 + 6^2 + ... + 20^2 )?

A) 542 B) 756 C) 1540 D) 968