Quantitative Aptitude

Clocks and Calendars

428 Questions
All Angle between hands 150 Clock gaining or losing time 132 Clock hands coincidence 69 Right angle times 30 Find time from angle 21 Decoding mixed date formats 7 Find day using reference date 6 Repeating same calendar 6 Date without reference day 3

Clocks and Calendars Questions

Multiple choice

A clock is 5 minutes slow at 4:35 p.m. on Monday and 12 minutes fast at 5:45 a.m. the following Monday. If the clock gains uniformly, then when did it show the correct time?

  1. 1:46:30 p.m. on Wednesday

  2. 2:48:30 p.m. on Wednesday

  3. 2:53:23 p.m. on Wednesday

  4. 2:45:00 a.m. on Thursday

  5. 2:45:00 a.m. on Tuesday
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The total time from Monday 4:35 p.m. to the following Monday 5:45 a.m. is 7 days and 1 hour and 10 minutes, which is 169 hours and 10 minutes (10150 minutes). The clock gains 5 + 12 = 17 minutes in this interval. To show the correct time, it must gain the 5 minutes it was slow. Time taken = (5/17) * 10150 minutes = 2985.29 minutes, which is 49 hours and 45 minutes. Adding this to Monday 4:35 p.m. results in Wednesday 2:20 p.m. plus adjustment for the 17 minutes gain rate.

Multiple choice

Directions: Read the following information carefully to answer the questions that follow. ‘A+B’ means ‘A is the father of B. ‘A ̶ B’ means ‘A is the wife of B. ‘A × B’ means ‘A is the brother of B. ‘A ÷ B’ means ‘A is the daughter of B. What will be the angle between the hands of clock at 9:30?

  1. 75º

  2. 90º

  3. 105º

  4. 120º
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The question contains irrelevant blood relation definitions. At 9:30, the hour hand is between 9 and 10 (at 9.5), and the minute hand is at 6. The angle is |30*H - 5.5*M| = |30*9 - 5.5*30| = |270 - 165| = 105 degrees.

Multiple choice

A clock gains five minutes every hour. What will be the angle traversed by the second hand in one minute?

  1. 360°

  2. 390°

  3. 360.5°

  4. 380°
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A normal clock second hand moves 360 degrees in 60 seconds (1 minute). If the clock gains 5 minutes every hour, it gains 5/60 = 1/12 minutes every minute. The second hand covers 360 degrees in 60 seconds, plus the gain of 5/60 minutes (which is 5 seconds). 360 + (5/60 * 360) = 360 + 30 = 390 degrees.