Calendar problems
- 1. If 6th March, 2005 is Sunday, what was the day of the week on 6 th March, 2002?
Options- A. Tuesday
- B. Saturday
- C. Thursday
- D. None of these Discuss
Correct Answer: None of these
Explanation:
Number of odd days between 6th march 2002 to 6th march 2003 is 1
Number of odd days between 6th march 2003 to 6th march 2004 is 2
Number of odd days between 6th march 2004 to 6th march 2005 is 1
Hence total Number of odd days between 6th march 2002 to 6th march 2005 is 1 + 2 + 1 = 4 odd days so 6th march 2002 is 4 days before Sunday i.e. Wednesday.
- 2. Find the angle between minute hand hour hand at 11 : 50 AM
Options- A. 55°
- B. 22.5°
- C. 15°
- D. None of these Discuss
Correct Answer: 55°
Explanation:
At 11 : 50 A.M. from the formula here P = 11 and Q = 50 so required angle is 11 x 50/2 - 30 x 11 = 275 - 330 = -55 or ignoring the negative sign the required angle is 55°
- 3. At what time between 2 PM and 3 PM the angle between minute hand and hour hand is 100°.
Options- A. 2 : 46/11
- B. 2 : 126/11
- C. 2 : 186/11
- D. None of these Discuss
Correct Answer: 2 : 46/11
Explanation:
Same as previous question Option A is correct.
- 4. Find the angle between minute hand and hour hand at 2 : 18 AM
Options- A. 37°
- B. 33°
- C. 39°
- D. None of these Discuss
Correct Answer: 39°
Explanation:
39°
- 5. Find the percentage change in angle between minute hand hour hand from 2 PM to 6 PM.
Options- A. 100
- B. 200
- C. 250
- D. None of these Discuss
Correct Answer: 200
Explanation:
At 2 PM angle between minute hand and hour hand is 60° and that at 6 PM is 180° hence percentage change is 200%.
- 6. Find the angle between minute hand and hour hand at 2 : 45
Options- A. 180°
- B. 190°
- C. 175°
- D. None of these Discuss
Correct Answer: None of these
Explanation:
From the formula the required angle is 187.5°
- 7. At what time between 9 and 10 o'clock will the hands of a clock be in the same straight line but not together?
Options- A. 9 :164/11
- B. 9 :154/11
- C. 9 :174/11
- D. None of these Discuss
Correct Answer: 9 :164/11
Explanation:
9 :164/11
- 8. At what time between 8 and 9 o'clock will the hands of a clock be at right angle?
Options- A. 8 : 163/11
- B. 8 : 273/11
- C. 8 : 173/11
- D. None of these Discuss
Correct Answer: 8 : 273/11
Explanation:
Consider exactly at 8 : 00, minute hand is at position '12' and hour hand is at '8' hence angle between these two hands at 8 : 00 is 240°.
Case (i) when minute hand is behind Hour hand then required time is (240 - 90)/(11/2) = 150/(11/2) = 300/11 = 27 3/11 minute
Case (ii) when minute hand is ahead of four hand then required time is (240 + 90)/(11/2) = 330/(11/2)
= 330 x 2/11 = 60 minute i.e., at 9 : 00 PM
- 9. By how many degree does the minute hand move in the same time, in which the hour hand move by 28?
Options- A. 168
- B. 336
- C. 196
- D. 376 Discuss
Correct Answer: 336
Explanation:
28 x 2 x 6 = 336 degree
- 10. At what time between 1'O clock and 2'O clock the hands of the clock are opposite to each other.
Options- A. 34(6/11) past 1'Oclock
- B. 38(2/11)past 1'Oclock
- C. 56(8/11)past 1'Oclock
- D. 64(9/11)past 1'Oclock Discuss
Correct Answer: 38(2/11)past 1'Oclock
Explanation:
The minute hand to coincide with the hour hand it should trace at first 5 minute spaces and then the hands of the clocks to be opposite to each other minute hand should trace 30 minute spaces i.e. totally it should gain 5 + 30 = 35 minute spaces to be opposite to that of hour hand.
We know that, Minute hand gains 55 minute spaces over hour hand in 1 hour. Therefore, Minute hand gain 40 minute spaces over hand in 35 x (60/55) = 38(2/11).
Hence the hand of the clock will minutes be opposite to each at 38 (2/11) past 1'O clock. Therefore, Correct option is B.
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