Question 1

At what time between 3 and 4 O'clock are the hands of a clock together?

Accepted Answer

Question 2

How much does a watch gain or lose per day, if its hands coincide in every 64 minutes?

Accepted Answer

Question 3

If the hands of a clock coincide in every 65 minutes (true time), in 24 hours the clock will gain:

Accepted Answer

Question 4

A clock strikes once at 1 O'clock, twice at 2 O'clock, thrice at 3 O'clock and so on. How many times will it strike in 24 hours?

Accepted Answer

Question 5

If John celebrated his victory day on Tuesday, January 5, 1965, when will he celebrate his next victory day on the same day?

Accepted Answer

As per the given above question , we have January 5th, 1965 ⇒ Tuesday January 5th, 1966 ⇒ Wednesday January 5th, 1967 ⇒ Thursday January 5th, 1968 ⇒ Friday January 5th, 1969 ⇒ Sunday Since, 1968 is a leap year. January 5th, 1970 ⇒ Monday January 5th, 1971 ⇒ Tuesday Therefore , required answer is Tuesday .

Question 6

In the year 1996, the Republic day was celebrated on Friday. On which day was the Independence day celebrated in the year 2000?

Accepted Answer

Question 7

The minute hand of a clock is 7 cm long. The area swept by the minute hand in 15 minutes will be:

Accepted Answer

Question 8

My watch was 3 minutes slow at 5 pm on Tuesday and it was 5 minutes fast at 11 pm on Wednesday. When did it give correct time?

Accepted Answer

Question 9

In an ordinary year 'March' begin on the same day of the week:

Accepted Answer

As we know that , In an ordinary year, February has no odd day. ∴ February and March begin on same day of the week. Also we know that, November and March begin on same day of the week. Hence , required answer will be February and November .

Question 10

A girl was born on September 6, 1970 which happened to be a Sunday. Her birthday would have fallen again on Sunday in:

Accepted Answer

As per the given above question ,we can say that Odd number of days from September 6, 1970 to September 6, 1981 = 14 days Hence, the Sunday will be on September 6, 1981.

Question 11

Monday falls on 4th April, 1988. what was the day of 3rd November, 1987?

Accepted Answer

Counting the number of days after 3rd November, 1987 we have Nov., Dec., Jan., Feb., March., April. So days = 27 + 31 + 31 + 29 + 31 + 4 = 153 days containing 6 odd days on 4th April, 1988. So, the day was Tuesday.

Question 12

On January 12, 1980, it was Saturday. The day of the week on January 12, 1980, it was Saturday. The day of the week on January 12, 1979 was?

Accepted Answer

The year 1979 being an ordinary year, it has 1 odd day. So, the day on 12th January, 1979 But January 12, 1980 being Saturday ∴ January 12, 1979 was Friday.

Question 13

January 1, 1992 was a Wednesday, what day of the week will it be on january 1, 1993?

Accepted Answer

1992 being a leap year, it has 2 odd days. So, the first day of the year 1993 will be two days beyond Wednesday i.e., it will be Friday.

Question 14

The first republic day of India was celebrated on 26th January, 1950. it was?

Accepted Answer

1600 years of 0 odd days and 30 years have 1 odd day. 49 years contain 12 leap years and 37 ordinary years and therefore (24 + 37) odd days i.e., 5 odd days i.e., 1949 years contain (0 + 1 + 5) = 6 odd days. 26 day of January contain 5 days.Total odd days = (6 + 5) = 11 or 4 days. So, the days was Thursday

Question 15

Today is 1st August. The day of the week is Monday. This is a leap year. The day of the week on this day after 3 years will be?

Accepted Answer

This being a leap year none of the next 3 year is a leap year. So, the day of the week will be 3 days beyond Monday i.e., it will be Thursday.

Question 16

At what point of time after 3 O' clock, hour hand and minute hand are at right angles for the first time?

Accepted Answer

Clock will make right angle at (5n + 15) x 12/11 min past n. Given that, n = 3 ∴ Clock will make right angle at ( 5 x 3 + 15 ) x 12/11 min past 3 . =30 x 12 / 11 min past 3. = 328/11 min So required time = 3 H 328/11 min

Question 17

At 6:15, the hour hand and the minute hand of a clock from an angle of?

Accepted Answer

Angle traced by hour hand in 12 h = 360° Angle traced by hour hand in 25/4 h = (360/12) x (25/4)° = 187.5° Angle traced by minute hand in 60 min = 360° Angle traced by it in 15 min = (360/60) x 15° = 90° ∴ Required angle = (187.5° - 90°) = 97.5°

Question 18

In a month of 31 days, third Thursday falls on 16th. What will be the last day of the month?

Accepted Answer

Since, third Thursday is on 16th. So, for calculation of last day of the month, we should calculate the odd number of days, here total days are 15 till 31. ∴ Odd days = 15/7 = 1 ∴ Day on last date of month = friday That will be 5th Friday.

Question 19

An accurate clock shows the time as 3:00 after hour hand has moved 135°, the time would be?

Accepted Answer

Angle of 360° is covered by hour hand in 12 h . So, angle of 135° is covered by hour hand in 12/360° x 135° = 4.5 h Thus, required time = (3 + 4.5)h = 7.5 h = 7 : 30

Question 20

A clock strikes 12 talking 48 s. In order to strikes 3 at the same rate, the time taken is?

Accepted Answer

There are 11 intervals when the clock strikes 12. Time taken for 11 intervals = 48 s ∴ Time taken for 1 interval = (48/11)s In order to strike 3, there are 2 intervals, for which the time taken = (48/11) x 2) = 88/11 s

Calendar Questions