Calendar problems
- 1. An accurate clock shown 8 O' clock in the morning through how many degrees will the hour hand rotate when the clock shows 2 O' clock in the afternoon?
Options- A. 150°
- B. 144°
- C. 168°
- D. 180° Discuss
Correct Answer: 180°
Explanation:
Since, in a clock hour hand completes an angle of 360° in 12 h and there is a gap of 6 h between 8 am and 2 pm, so in 6 h, hour hand completes an angles of 180°.
- 2. If the seventh day of a month is three days earlier than Friday, what day will be on the nineteenth day of the month?
Options- A. Sunday
- B. Monday
- C. Wednesday
- D. Friday Discuss
Correct Answer: Sunday
Explanation:
Three days earlier than Friday means Tuesday.
So, 7th day of month will be Tuesday.
14th day of month will be Tuesday.
19th day of month will be Sunday.
- 3. If a month in an year start with Monday, then the date of the fourth day after the second Saturday in that month, will be?
Options- A. 16
- B. 17
- C. 18
- D. 19 Discuss
Correct Answer: 17
Explanation:
1st day of month is Monday.
6th day of month is Saturday.
13th day of month is second Saturday.
17th day is the fourth day after second Saturday.
- 4. In a clock, the angle between the hour hand and minute hand at 5 h 10 min, is?
Options- A. 60°
- B. 95°
- C. 120°
- D. 90° Discuss
Correct Answer: 95°
Explanation:
The angle between hour hand and minute hand at 5 O'clock = 5 x 30° = 150°
Minute hand move in 10 min = 2 x 30° = 60°
Hour hand move in 10 min = 30°/6 = 5°
? Angle between hour hand and minute hand at 5 h 10 min = 150° - 60° + 5deg; = 95°
- 5. The director came to the office to attend a meeting at 15 min past 12 and he came 25 min before his steno who in turn was late by 30 min to the meeting. At what time was the meeting supposed to start?
Options- A. 12 : 00
- B. 12 : 15
- C. 12 : 10
- D. 12 : 20 Discuss
Correct Answer: 12 : 10
Explanation:
Director came at 12 : 15.
Steno came at 12 : 40.
Since, steno was late by 30 min to the meeting.
? Meeting time 12 : 10
- 6. When the time in the wall clock in 3:25 pm, the acute angle between the hour hand and minute hand is?
Options- A. 60°
- B. 52.5°
- C. 47.5°
- D. 42° Discuss
Correct Answer: 42°
Explanation:
Since, angle between two number is 360°/12 = 30°
When the time is 3:25 pm, the minute hand will be at 5 and will have moved 60° from 3 and hour hand would be between 3 and 4 it will move 30° in 60 min and so in 25 min it would have moved 30 x 25/60 = 12.5°
So, angle between two hand will be 60 - 12.5 = 47.5°
- 7. A clock is set to show the correct time at 7 am Monday. The clock losses 15 min in 24 h. What will be the true time when the clock indicates 6 am on the following Friday?
Options- A. 6 : 15 am Friday
- B. 6 : 30 am Friday
- C. 7 : 00 am Friday
- D. 7 : 15 am Friday Discuss
Correct Answer: 7 : 00 am Friday
Explanation:
Time from 7 am on a day to 6 am after 3 days is 95 h.
Now , 23 h 45 min of the clock in question = 24 h of correct clock
i..e., 95/4 h of the clock in question = 24 h of correct clock
? 95 h of the clock in question = (24 x 4/95 x 95) h of correct clock = 96 h
So, the correct time is 96 h from 7 am, Monday, ie., 7 am, Friday.
- 8. At what time between 9 o'clock and 10 o'clock, will the hands of a clock be in the same straight line but not together?
Options- A. 162/11 min past 9
- B. 162/11 min past 10
- C. 164/11 min past 9
- D. 164/11 min past 10 Discuss
Correct Answer: 164/11 min past 9
Explanation:
At 9 o'clock, the hour hand is at 9 and the minute hand is at 12. it means that the two hands are 15 min spaces apart .To be in the same straight line (but not together ), they will be 30 min space apart .
? The minute hand will have to gain (30 - 15) = 15 min space over the hour hand .
As we Know, 55 min spaces are gained in 60 min.
? 15 min will be gained in (60/55 x 15) min = 180/11 = 164 /11 min
Hence, the hands will be in the same straight line but not together at 164/ 11 min past 9.
- 9. At what time between 2 o'clock and 3 o'clock, will the hands of a clock point in opposite directions?
Options- A. 480/11 min past 2
- B. 485/11 min past 2
- C. 580/11 min past 2
- D. 520/11 min past 2 Discuss
Correct Answer: 480/11 min past 2
Explanation:
Given that n = 2 and (n + 1) = 3(n < 6)
The hands will be at the same straight line at
? (5n + 30) x 12/11 min past n.
? (5 x 2 + 30 ) x 12/11 min past 2.
? (10 + 30) x 12/11 min past 2.
? 40 x 12/11 min past 2.
? 480/11 min past 2.
- 10. A clock is set right at 6 am. The clock losses 16 min in 24 h. What will be true time. if the clock indicates 11 pm on 4th day?
Options- A. 12 o' clock
- B. 11 pm
- C. 9 pm
- D. 2 pm Discuss
Correct Answer: 12 o' clock
Explanation:
Time from 6 am on a day to 11 pm on 4th day = 89 h
Now, 23 h 44 min of this clock = 24 h of correct clock
89 h of this clock = 24 x (15/356) x 89 h of correct clock = 90 h of correct clock
? Correct time will be 12 o' clock (mid-night).
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.