Arjun's dance show was on the circled date in March. Which of these dates in June falls on the same day of the week?

17 March 2029 is a Saturday (1 March is a Thursday). June 2029 starts on a Friday, so its Saturdays are 2, 9, 16, 23, 30: 16 June. (17 June keeps the same date number, but that is a Sunday.)