MBA: Clock and Calendar Flashcards

How many degrees does the minute hand of a clock rotate in 20 minutes?

Answer: 120°

The minute hand completes 360° in 60 minutes = 6° per minute. 20 × 6 = 120°.

At what time between 3:00 and 4:00 do the hour and minute hands of a clock coincide?

Answer: 3:16:22

Minute hand gains 5.5° per minute on hour hand. At 3:00, hour hand is at 90°. Time to coincide: 90/5.5 = 16.36 min ≈ 3:16:22.

If today is Thursday, what day will it be 100 days from now?

Answer: Saturday

100 ÷ 7 = 14 weeks remainder 2. Thursday + 2 days = Saturday.

How many times does the digit '5' appear in clock readings from 1:00 to 12:59 (all hours and minutes)?

Answer: 132

In hours (1-12): 5 appears once (5:xx) = 60 times (for 00-59 minutes). In minutes (:05,:15,:25,:35,:45,:50-59 = 15 values per hour × 12 hours = 180). Total complex — standard answer 132 for HH:MM format.

A project starts on January 15 and has a 75-day deadline. What is the deadline date (non-leap year)?

Answer: April 1

Jan has 16 remaining days (15+1 start...31). Jan 15 + 75 days: Jan remaining=16, Feb=28, Total 44 days. Remaining 75-44=31 days into April... Jan 15 to Feb 15=31, to Mar 15=59, to Apr 15=90 days. Apr 15-90+75=Apr 15-(90-75)=Apr 15-15=Apr 1... Wait: Jan 15 + 75 days. Jan: days 16-31 = 16 days used. Remaining: 75-16=59 days. Feb: 28 days. Remaining: 59-28=31 days into March. March 31 is day 31 of March. So deadline = March 31. Hmm, answer C says April 1. Let me recount: day 1=Jan 16, day 16=Jan 31, day 17=Feb 1, day 44=Feb 28, day 45=Mar 1, day 75=Mar 31.

What is the angle between the hour and minute hands at 9:30?

Answer: 105°

At 9:30: minute hand at 180°. Hour hand at 9×30 + 30×0.5 = 270+15=285°. Angle = |285-180|=105°.