# Calendars and Clocks

1. If it was Sunday on January 1, 2016. Then what was the day of the week January 1, 2020?
A) Friday        B) Saturday
C) Monday       D) Tuesday

2. What was the day of the week on 10th February, 2006?
A) Sunday            B) Monday
C) Wednesday       D) Friday

3. What will be the day of the week 13th August, 2010?
A) Monday        B) Friday
C) Saturday       D) Thursday

4. If today is Sunday, after 57 days, which of the following days will it be?
A) Tuesday      B) Saturday
C) Sunday       D) Monday

5. If 10th April, 2009 is Saturday, what was the day of the week on 10th April, 2010 ?
A) Sunday       B) Monday
C) Friday         D) Tuesday

6. How many days are there in p weeks p days?
A) 8p        B) p3          C) 10     D) 7p

7. If on 10th January, 2005 it was Thursday. What was the day of the week on 10th, January 2004?
A) Monday         B) Tuesday
C) Saturday        D) Sunday

8. Which of the following is not a leap year?

A) 2044       B) 2062          C) 2056      D) 2036

9. If February 15, 2016 is Saturday, what day of the week lies on February 15, 2017?
A) Tuesday       B) Monday
C) Friday          D) Sunday

10. If January 1, 2013 was Wednesday, what day of the week lies on January 1, 2016?
A) Tuesday       B) Monday
C) Friday          D) Saturday

11. An accurate clock shows 9 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?
A) 120°        B) 135°         C) 180°       D) 144°

12. A clock is started at noon. By 30 minutes past 4, the hour hand has turned through:
A) 150°        B) 135°       C) 130°      D) 144°

13. The angle between the minute hand and the hour hand of a clock when the time is 6:30 is:
A) 0°        B) 30°     C) 15°     D) 25°

14. At what angle the hands of a clock are inclined at 20 minutes past 6?
A) 100°          B) 70°           C) 60°      D) 40°

15. At 8:30, the hour hand and the minute hand of a clock form an angle of:
A) 75°          B) 95°             C) 65°       D) 85°

16. How many times the minute hand and the hour hand of a clock are at right angles in a day?
A) 22 times           B) 44 times
C) 33 times            D) 40 times

17. The angle between the minute hand and the hour hand of a clock when the time is 3 : 30 is:
A) 210°         B) 75°         C) 100°        D) 90°

18. At 7 : 24 , the hour hand and the minute hand of a clock form an angle of:
A) 60°          B) 63°          C) 78°       D) 84°

19. The angle between the minute hand and the hour hand of a clock when the time is 9 : 36 is:
A) 69°        B) 40°          C) 72°        D) 84°

20. At what time, in minutes, between 4 o'clock and 5 o'clock, will both the hands of the clock coincide with each other?

21. How many days will there be from 27th January, 2016 to 15th May, 2016 (both days included)?
A) 160           B) 110           C) 120          D) 121

22. If the day before yesterday was Friday, What day would fall on the day after tomorrow?
A) Friday            B) Sunday
C) Monday           D) Tuesday

23. If Today is Friday, What will be the day after 92 days?
A) Saturday     B) Sunday
C) Monday     D) Tuesday

24. Akhil went to the movies nine days ago. He goes to the movies only on Thursday. What day of the week is today?
A) Friday            B) Sunday
C) Monday         D) Saturday

25. At what time, in minutes, between 6 o'clock and 7 o'clock, will both the hands of the clock coincide with each other?

Key

1-A    2-D    3-B    4-D    5-A    6-A    7-B    8-B   9-B   10-D    11-C    12-B    13-C    14-B    15-A    16-B    17-B    18-C    19-C    20-B    21-B    22-D   23-A   24-D    25-B

Explanations

1. According to the given data, On 31st December, 2015 it was Saturday. Number of odd days from the year 2016 to the year 2020 = (2 + 1 + 1 + 1) = 5 days. Hence, on 31st December 2019, it was Thursday. Thus, on 1st January, 2020, it is Friday.

2. 10 February, 2006 = (2005 years + Period from 1.1.2006 to 10.2.2006)
Odd days in 2000 years = 0
5 years = (4 ordinary years + 1 leap year) =
(4 × 1 + 1 × 2) = 6 odd days. Jan. Feb
(31 + 10) = 41 = 6 odd days.
Total number of odd days = (6 + 6) = 12 = 5 odd days.
Hence, the given day is Friday.

3. 13th August, 2010 = (2009 years + Period
1/1/2010 to 13/8/2010)
Odd days in 2000 years = 0
9 years = (2 leap years + 7 ordinary years)
= (2 × 2 + 7 × 1) = 11 odd days = 4 odd days.
Total number of days until given date
= 31 + 28 + 31 + 30 + 31 + 30 + 31 + 13
= 225 = 1 odd day
Total number of odd days = ( 4 + 1 )
= 5 odd days

4. Each day of the week is repeated after 7 days. So 57 days = 1 odd day.

So, the given day is Monday.

5. 10th April, 2009 to 10th April, 2010 1 odd day.

So, the given day is Sunday

6. p weeks p days = 7p days + p days = 8p days.

7. The year 2004 is a leap year. It has 2 odd days.

So, the given day is Tuesday.

8. The non-century year which is divisible by 4 is a leap year.

Hence, The year 2062 is not a leap year.

9. The year 2016 is a leap year. So, it has 2 odd days.
Saturday + 2 = Monday.

10. 2013 2016 = 3 odd days.
So, Wednesday + 3 = Saturday.

11. Distance travelled by the hour hand in 6 hours = 6 × 30° = 180 degrees.

12. Distance travelled by hour hand in 4 hrs

13. The angle between the minute hand and the hour hand of a clock when the time is

14. Virtual angle between hands of the clock is 60° But the hour hand will be at 6 when the time is exactly 6 , but now the time is 6 : 20. The hour hand would have moved some distance away from the minute hand. Distance travelled by the hour hand

So, Correct angle = Virtual angle + correction

= 60 + 10 = 70o

15.

,
where H represents hour hand and M represents minute hand.

16. In 24 hours, they are at right angles 44 times (Since for every 12hours = 22 times).

17.

, where H
represents hour hand and M represents minute hand.

18.

represents hour hand and M represents minute hand.

19. , where H

represents hour hand and M represents minute hand.

20. Between 4 o'clock and 5 o'clock :

21. Number of days = (5 + 29 + 31 + 30 + 15) = 110.

22. Day before yesterday ¾® Friday
Yesterday  Saturday
Today Sunday
Day after tomorrow Tuesday

23. Number of odd days = Remainder  = 1

So, Friday + 1 = Saturday.

24. Clearly, nine days ago, it was Thursday.
So, today is Saturday.

25. Between 6 o'clock and 7 o'clock :

Posted Date : 04-05-2022

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.