Clock and Calendar

The hands of a clock coincide once in every hour, but between 11 o'clock and 1 o'clock, they coincide only once. So, they coincide 11 times in 12 hours and thus, 11 x 2 = 22 times in 24 hours.

It is clear that both hands of a clock are at right angle twice in every hour, except at 3'o clock and 9'o clock. At 3'o clock and 9'o clock, the positions are identical. So, they are at right angle 22 times in 12 hours. Thus, in 24 hours they are 22 x 2 = 44 times at right angle.

According to the information, the next bell will ring at 7:45 am, and the bell is rung at regular intervals of 45 minutes. So, the previous bell was rung at 7:45 - 00:45 = 7:00. The priest gave the information after five minutes of the ringing of the last bell, not before five minutes, the next bell is due to ring.

It is clear that the previous train had left at 18:00 hours - 2:30 hours = 15:30 hours. Thus, the train had left 50 minutes before the announcement was made at 15:30 hours + 00:50 hours = 16:20 hours.

An angle of 180^o is formed when the hour hand is at 6 and the minute hand is at 12, i.e. 6:00.

Total holidays are 6 and the number of days in January is 31. Number of working days = 31 - 6 = 25. Thus, this option is correct.

It is given that the third day is a Monday. According to this, the first day of the month was a Saturday. Second Saturday is on 8^th and third Saturday is on 15^th. So, the answer is 15^th.

As we know that there are 7 days in a week, if we start from Friday, then Thursday is the 7^th day, after that, Friday is the 8^th, and Saturday is the 9^th day. Since, Divya went nine days ago, today is Sunday.

It is clear that if the fifth day of this month is Sunday, then the third is the Friday. According to this, third Friday is on 17^th. Four days after 17 = 21. Thus, the picnic was organised on the 21^st of this month.

After 5 years, the year would have been 1997 and there is a leap year (1996). So, the total days after 5 years = 4 * 365 + 366 = 1826. In 2 months, April has 30 days and May has 31 days. Hence, the total days after 5 years 2 months and 16 days are 1903. Upon dividing by 7, remainder is 6. So, the required day is 6 days after Sunday. Thus, the correct answer is Saturday.

The number of days between the last and first day of a leap year = 366 - 1 = 365 and there are 7 days in a week. On dividing 365 by 7, remainder is 1. Hence, the last day is one day after Tuesday, i.e. Wednesday.

This year is not fully divisible by 4 and leaves a remainder. So, it is not a leap year.

It is clear that the watch gains 5 seconds in every 3 minutes, and the number of hours between 7a.m to 4:00 p.m. is = 9 hours, i.e. 9 * 60 = 540 minutes. So, according to this, the watch will gain 540 minutes = 540 * 5 / 3 = 900 seconds and 900 seconds = 900 / 60 = 15 minutes. Thus, the watch will gain 15 minutes in 9 hours. Therefore, the time indicated by the watch at 4 p.m. = 4.00 + 0:15 = 4:15 pm.

Number of days from March 15, 2013 to July 10, 2013 = 16 + 30 + 31 + 30 + 10 = 117. On dividing 117 by 7 , remainder is 5.
Now after count 5 days, after Friday, we get Wednesday.

As 25^th August is Thursday, so 30^th August is a Monday. According to this 23^rd, 16^th, 9^th and 2^nd also fall on  onday. Hence, total Mondays are 5.