Gate Exam Logical Reasoning Mathematical Reasoning

(cosθ + isinθ)^4/
(icosθ + sinθ)^5

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Gate Other Question

Two dogs started running in opposite directions along a circular path of length 410 meters with their speeds in the ratio 7:9. At what distance from the starting point they meet for the seventh time?

(1)210m
(2)44.55m
(3)58m
(4)24.45m numbers are 2,2,3,3,3,4,4,4,4.how many 4digit numbers can be formed greater 3000 with help of these without any reapition?