Bus stops A and B are located across each other wherein 14 and 4 different bus lines stop over each bus stop respectively. In regular intervals, every 14th bus that stops over at A is a Cornelia bus while every 4th bus that stops over at B is a Magnolia bus. If for every hour 10 buses stop over at each point with the first buses arriving at 7:00 am, at what time will a Cornelia bus and a Magnolia bus stop over their respective points at the same time?
Cecilia, Dina, Elena, and Fiona are cousins with different ages who live in the same house. When a new neighbor asked them who is the oldest, they answered:
Cecilia: I am the eldest.
Dina: I am not the youngest.
Elena: I am neither the eldest nor the youngest.
Fiona: I am the youngest.
Given that one of them is not telling the truth, who is the oldest of the four cousins?
It is Leta’s birthday today. She is 5 years older than Leo. If you multiply their ages the product is 546. Find the sum of their ages after 3 years from today.
My mother is three times older than my sister. My father is 30 years older than me. I was 5 years old when my sister was born. If the present age of my sister is 15 years, then the difference between my mother’s and father’s age is ____.
Interpretation note (editorial): “three times older” is taken to mean “three times as old,” following the source key.
Chikka started to review for her final exams at 4 pm. She took a 10-min break every 1 hour and 20 minutes and finished at 11:20 in the evening. If we’re going to take out the time she spent for the in-between breaks, how many degrees of rotation of the minute hand are equivalent to the number of hours she spent studying?