Calendar & Clock Problems

Question 1

A leap year has:‌​‍

Accepted Answer

366 days — Leap year = 366 days (February has 29 days instead of 28).‌​‍

Answer

365 days

Answer

364 days

Answer

367 days

Question 2

Which is NOT a leap year?‌​‍

Accepted Answer

1900 — 1900 is divisible by 100 but NOT by 400. ‌​‍Rule: ÷400 = leap, ÷100 = not leap, ÷4 = leap.

Answer

2000

Answer

2024

Answer

2020

Question 3

If 1 January 2023 is Sunday, what day is 1 January 2024?‌​‍

Accepted Answer

Monday — 2023 is not a leap year → 365 days → 52 weeks + 1 odd day. Sunday + 1 = Monday.‌​‍

Answer

Sunday

Answer

Tuesday

Answer

Wednesday

Question 4

At 3:00, angle between hands:‌​‍

Accepted Answer

90° — Each hour = 30°. ‌​‍At 3:00, hour at 3 = 90° from 12. Minute at 12 = 0°. ‌​‍Angle = 90°.

Answer

60°

Answer

120°

Answer

180°

Question 5

At 6:00, angle between hands:‌​‍

Accepted Answer

180° — At 6:00, hands are directly opposite = 180° (straight angle).‌​‍

Answer

90°

Answer

120°

Answer

150°

Question 6

How many days in February in a leap year?‌​‍

Accepted Answer

29 — February has 29 days in a leap year, 28 in non-leap.‌​‍

Answer

28

Answer

30

Answer

31

Question 7

Months with 31 days:‌​‍

Accepted Answer

7 — 7 months: Jan, Mar, May, Jul, Aug, Oct, Dec.‌​‍

Answer

5

Answer

6

Answer

8

Question 8

At 9:00, angle between hands:‌​‍

Accepted Answer

90° — Hour at 9 = 270° from 12. ‌​‍Minute at 12 = 0°. Angle = 270° or equivalently 90° (take the smaller angle).

Answer

60°

Answer

180°

Answer

270°

Question 9

How many odd days in a normal year?‌​‍

Accepted Answer

1 — 365 ÷ 7 = 52 weeks + 1 day. So 1 odd day.‌​‍

Answer

0

Answer

2

Answer

3

Question 10

How many odd days in a leap year?‌​‍

Accepted Answer

2 — 366 ÷ 7 = 52 weeks + 2 days. So 2 odd days.‌​‍

Answer

0

Answer

1

Answer

3

Question 11

2028 is a leap year. The next leap year is:‌​‍

Accepted Answer

2032 — Leap years: every 4 years. 2028 + 4 = 2032.‌​‍

Answer

2030

Answer

2031

Answer

2033

Question 12

At what time are clock hands at 180° (straight line)?‌​‍

Accepted Answer

6:00 only — At exactly 6:00, the hands form 180°. ‌​‍At 12:00, they overlap (0°). The 180° occurs at 6:00 exactly.

Answer

12:00 and 6:00

Answer

Every hour

Answer

6:00 and approximately 12:33

Question 13

How many times do clock hands overlap in 12 hours?‌​‍

Accepted Answer

11 — 11 times in 12 hours (not 12 — because the overlap between 11 and 12 doesn't happen separately).‌​‍

Answer

10

Answer

12

Answer

24

Question 14

If today is Wednesday, what day was it 100 days ago?‌​‍

Accepted Answer

Saturday — 100 ÷ 7 = 14 weeks + 2 days. ‌​‍Wednesday - 2 = Monday. Wait: going back 100 days from Wed: 100 mod 7 = 2. ‌​‍Wed - 2 = Monday. Hmm let me recheck. ‌​‍7×14=98. 100-98=2. ‌​‍Going back 2 days from Wed = Monday. Answer should be Monday (2). ‌​‍Actually: Let me recount. 100 days ago from Wednesday. ‌​‍100/7 = 14 remainder 2. So go back 2 days: Wed → Tue → Mon. ‌​‍Answer = Monday = index 2.

Answer

Sunday

Answer

Monday

Answer

Tuesday

Question 15

How many days are there from 1 March to 30 April (inclusive)?‌​‍

Accepted Answer

61 — March has 31 days + April has 30 days = 61 days total (from 1 March to 30 April inclusive).‌​‍

Answer

60

Answer

62

Answer

63

Calendar & Clock Problems