# Clocks and calenders Questions and Answers updated daily – Aptitude

Clocks and calenders Questions: Solved 17 Clocks and calenders Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Clocks and calenders Questions

1. A person goes out home and returns after sometime. He notices during his absence clock’s minute hand rotates 288°. How much does clock’s hour hand rotate in that duration?

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Correct Ans:24°

Explanation:

In one hour time span, minute hour rotates 360° and hour hand rotates (360°/12) = 30°

So, 360° minute hour rotation equivalent to 30° hour hand rotation.

288° minute hour rotation equivalent to (30 × 288/360) = 24° hour hand rotation.

So, 360° minute hour rotation equivalent to 30° hour hand rotation.

288° minute hour rotation equivalent to (30 × 288/360) = 24° hour hand rotation.

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2. If instead of 365 days, a year was of 400 days and a leap year was of 450 days, then what will be the day on 1st day of year 2031 if 1st day of year 2021 is a Thursday given that a week still has 7 days.

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Correct Ans:Tuesday

Explanation:

10 years = 8 regular years + 2 leap years

10 years = 8*400 + 2*450 days = 3200 + 900 days = 4100 days

4100 days = 4100/7 = 585weeks + 5 days

585 weeks will end on a Thursday

5 additional days will end on Tuesday.

10 years = 8*400 + 2*450 days = 3200 + 900 days = 4100 days

4100 days = 4100/7 = 585weeks + 5 days

585 weeks will end on a Thursday

5 additional days will end on Tuesday.

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3. A-clock gains five minutes every hour. What will be the angle traversed by the second hand in one minute?

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Correct Ans:390°

Explanation:

Since, A clock gains five minutes every hour

i.e. 65 minutes instead of 60 minutes.

Now, hour hand = 65/60 = 13/12

Therefore, the second hand will traverse = 13/12 * 360°

= 390°

i.e. 65 minutes instead of 60 minutes.

Now, hour hand = 65/60 = 13/12

Therefore, the second hand will traverse = 13/12 * 360°

= 390°

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4. On what dates of May, 2001 did Thursday fall?

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Correct Ans:3rd, 10th, 17th, 24th, 31st

Explanation:

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5. At 3:20, the hour hand and the minute hand of a clock form an angle of?

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Correct Ans:20

Explanation:

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6. A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min 48 sec fast at 2 p.m. on the following Monday. When was it correct?

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Correct Ans:2 pm on Wednesday

Explanation:

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7. A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

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Correct Ans:4 p.m.

Explanation:

Watch gains 5 seconds in 3 minutes or 5 seconds in every 180 seconds

Time passed in correct clock = 180 seconds

Time passed in faulty clock = 185 seconds

Time passed in faulty clock = 9 hours and 15 minutes = 9*60*60 + 15*60 = 33300 seconds

Time elapsed in the correct clock = (Time passed in correct clock/Time passed in faulty clock) x Overall time passed in faulty clock

=180/185*33300

= 32400 seconds

=

Hence the time in correct clock = 7 + 9 hours = 4 o.m.

Clock gains 5 seconds every 3 minutes = 100 seconds every hour (60 minutes) = 900 seconds every 9 hours = 15 minutes every 9 hours.

Hence when the faulty clock shows 4:15 p.m., the actual clock should show 15 minutes less i.e. 4:00 p.m.

Time passed in correct clock = 180 seconds

Time passed in faulty clock = 185 seconds

**Given:**Time passed in faulty clock = 9 hours and 15 minutes = 9*60*60 + 15*60 = 33300 seconds

Time elapsed in the correct clock = (Time passed in correct clock/Time passed in faulty clock) x Overall time passed in faulty clock

=180/185*33300

= 32400 seconds

=

**9 hours**Hence the time in correct clock = 7 + 9 hours = 4 o.m.

**Alternative solution**Clock gains 5 seconds every 3 minutes = 100 seconds every hour (60 minutes) = 900 seconds every 9 hours = 15 minutes every 9 hours.

Hence when the faulty clock shows 4:15 p.m., the actual clock should show 15 minutes less i.e. 4:00 p.m.

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8. It was Thursday on 2nd Jan 1993. What day of the week will be on 15th March 1993?

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Correct Ans:Saturday

Explanation:

Today number of days = 29(Jan) + 28 (Feb) + (15) Mar = 72 days
10 Weeks + 2 days. Thus the given date will fall on two days beyond Thursday, that is Saturday.

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9. January 1, 2008 is Tuesday. What day of the week lies on January 1, 2009?

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Correct Ans:Thursday

Explanation:

The year 2008 is a leap year. So it has 2 odd days.

1st day of the year 2008 is Tuesday (given)

So, 1st day of the year 2009 is 2 days beyond Tuesday. So it has to be Thursday.

1st day of the year 2008 is Tuesday (given)

So, 1st day of the year 2009 is 2 days beyond Tuesday. So it has to be Thursday.

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

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Correct Ans:700

Explanation:

The century divisible by 400 is a leap year
Therefore the year 700 is not a leap year

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11. On what dates on April 2001 did Wednesday fall?

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Correct Ans:4th , 11th , 18th , 25th

Explanation:

We shall find the day on 1st April 2001
1st April 2001 = 2000 years + Period from 1.1.2001 to 1.4.2001
Odd days in 1600 years = 0
Odd days in 400 years = 0
Jan, Feb, Mar, April = 31 + 28 + 31 + 1 = 91 days = 0 odd days
On 1st April it is Sunday.
In April, 2001 Wednesday falls on 4th , 11th , 18th and 25th .

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12. Today is Monday. After 61 days, it will be ...

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Correct Ans:Saturday

Explanation:

Each day of the week is repeated after 7 days.
So 63rd day will be Monday
So, 61 day will be Saturday

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13. How many days are there in k weeks and k days ?

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Correct Ans:8k

Explanation:

Given k weeks and k days, => 7k days and k days
Total 7k+k = 8k days

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14. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

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Correct Ans:Friday

Explanation:

On 31 Dec, 2005 it was Saturday.
Number of Odd days from the year 2006 to the year 2009 = 1 +1+2+1 =5
On 31st Dec 2009 it was Thursday
So, 1st Jan 2010 is Friday

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15. The angle between the minute hand and the hour hand of the clock when the time is 4:20 is ?

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Correct Ans:10 Degree

Explanation:

Angle traced by hour hand in 13/3 hrs = (360/12) x (13/3) = 130o.
Angle traced by minute in 20 minutes =(360/12) x (20) = 120o.
Required angle is = 130o – 120o = 10 Degree

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16. A clock started at noon. By 10 minutes past 5, the hour hand has turned through ?

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Correct Ans:155 Degree

Explanation:

Angle traced by hour hand in 12 hours = 360o.
Angle traced by hour hand in 5 hrs 10 min = 31/6 hrs
= (360/12) x (31/6) = 155 Degree

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17. 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?

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Correct Ans:180 Degree

Explanation:

Angle traced by the hour hand in 6 hours = (360/12) x 6 = 180 Degree

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