MBA: Clock and Calendar Flashcards

A meeting is scheduled for every 3rd Tuesday of the month. If March 1 is a Friday, on what date is the 3rd Tuesday of March?

Answer: March 15

March 1=Friday. First Tuesday=March 4 (3 days later). Second Tuesday=March 11. Third Tuesday=March 18... Wait: Mar 1=Fri, Mar 2=Sat, Mar 3=Sun, Mar 4=Mon, Mar 5=Tue. First Tue=Mar 5. Second Tue=Mar 12. Third Tue=Mar 19.

The minute hand of a clock is at 6 and the hour hand is moving toward 7. What is the approximate time?

Answer: 6:30

Minute hand at 6 = 30 minutes. Hour hand between 6 and 7 at this point = 6:30.

How many days are there from April 10 to July 20 (inclusive of both dates)?

Answer: 102

Apr 10 to Apr 30 = 21 days (30-10+1). May = 31. June = 30. July 1-20 = 20. Total = 21+31+30+20=102.

How many right angles does the minute hand make in 2 hours?

Answer: 8

The minute hand makes 2 right angles (90° and 270°) per hour relative to the hour hand. Over 2 hours: 2×4=8, or simply: the minute hand crosses 90° positions 4 times per revolution × 2 revolutions = 8 times. The minute hand forms a right angle with the hour hand approximately 44 times per day. Per hour: 4 times (at ~16.36 min intervals). 2 hours = 8 right angles.

If a year starts on a Wednesday, on what day does April 1 fall (non-leap year)?

Answer: Monday

Jan=31, Feb=28, Mar=31 days = 90 days to April 1. 90 mod 7 = 6. Wednesday + 6 = Tuesday... Jan 1=Wed. Day 91=Apr 1. 90 days after Jan 1: 90 mod 7=6. Wed+6=Tuesday. Hmm. Day 1=Jan 1=Wed. Day 91=Apr 1. 91-1=90 days later. 90 mod 7=6. Wed(3)+6=9 mod 7=2=Tuesday? Or Wed=4, 4+6=10, 10 mod 7=3=Wednesday? Using Sun=1: Wed=4. 4+6=10, 10 mod 7=3=Wed... No: 10-7=3=Wed. Actually Sun=0,Mon=1,Tue=2,Wed=3,Thu=4,Fri=5,Sat=6. Wed=3. 3+6=9, 9 mod 7=2=Tue. So April 1 = Tuesday.

A clock shows 4:20. What is the angle between the hour and minute hands?

Answer: 10°

Minute at 120°. Hour at 4×30+20×0.5=120+10=130°. Angle=|130-120|=10°.