Clock and calender
Question 1 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the angle between the two hands of a clock when the time shown by the clock is 5.30 p.m.?
Question 1 Explanation:
q = 11/2 m – 30h = 11/2 *30 - 30 *5 = 165-150 = $15^\circ$
Question 2 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
By how many degrees does the minute hand move in the same time, in which the hour hand move by 18 degree?
Question 2 Explanation:
18*2 *6 = 216 degree
Question 3 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A watch, which loses time uniformly, was observed to be 5 minutes fast at 8.00 p.m. On Thursday. It was noticed to be 7 minutes slow at 8.00 a.m. on the subsequent Monday. When did the watch show the correct time?
7 a.m. Saturday
7 a.m. on Friday
10 a.m. on Sunday
11 a.m. on Friday
Question 3 Explanation:
The number of hours from 8:00 p.m. on Thursday to 8:00 a.m. on Monday = 84 hours. In 84 hours, the clock gained 12 minutes. But to show the correct time, the clock has to gain 5 minutes. :. 5/12 *84 = 35 hours. 35 hours from 8:00 p.m. on Thursday is 7:00 a.m. on Saturday.
Question 4 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In the time in which the second hand covers 3960 degrees, how many degrees does the hour hand move?
Question 4 Explanation:
$3960/(360*2) = 5.5^\circ$
Question 5 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
By how many degrees does the hour hand lag behind the minute hand in a span of 42 minutes, if initially they are at the same position?
Question 5 Explanation:
42*6-(42/2) = 252-21 = 231 degree
Question 6 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
March 1st is Wednesday. Which month of the same year has the same calendar
Question 6 Explanation:
Odd days from March to October : 3 + 2 +3 +2 +3 +3 +2 +3 = 21/7 = 0 . If odd day is 0 then next month has the same calendar.
Question 7 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If today is Thursday, after 730 days which will be the day of the week?
Question 7 Explanation:
730/7 = 2 odd days. So Saturday will be the day of the week.
Question 8 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A year starting with Monday and ending with Tuesday. How many days are there from 16th January to 15th March of that year.
Question 8 Explanation:
It is a leap year. So 16(Jan)+ 29(Feb) + 15(March) = 60 days
Question 9 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The last day of a century cannot be:
Question 9 Explanation:
100 years contains 5 odd days. So last day of 1st century is ‘Friday’. 200 years contains (5*2) =10 = 3 odd days. So last day of second century is ‘Wednesday’. 300 years contain 15 odd days = 1 odd day. . : Last day of 3rd century is ‘Monday’. 400 years contains 0 odd day. : . Last day of 4th century is ‘Sunday’. Since the order is continually kept in successive cycles, we see that the last day of a century cannot be Tuesday, Thursday or Saturday
Question 10 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What will be the day of the week on 1st January, 2010?
Question 10 Explanation:
2000 years have 2 odd days. Number of odd days from 2001 –2009 = 11 odd days = 4 odd days. 1st January. 2010 has 1 odd day. Total number of odd days = (2 + 4 + 1) = 7 = 0 odd day : . 1st January, 2010 will be a Sunday.
There are 10 questions to complete.