Are you talking about GATE and CAT examination.
If yes, then no CAT and GATE examination dates are different.GATE examination is in February 2020 and CAT examination is in November 2020
If you are talking about GITAM GAT examination then, it's a No, GAT examination is in April 2020.
No two different government examination/ private national level examinations will be conducted on the same day.
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Link for GATE examination details
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