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

On January 1st at 12 am the clock which is 5% faster than a usual clock , was set to correct time.When will clock show the correct time again ?

  1. 10th Jan 10:00 am

  2. 11th Jan 12:00 am

  3. 10th Jan 12:00 am

  4. 11th Jan 2:00 am

  5. 10th Jan 1:00 am
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The clock gains 5 minutes every 100 minutes (5% faster). To show the correct time again, it must gain 12 hours (720 minutes). Time taken = 720 / (5/100) = 720 * 20 = 14400 minutes = 240 hours = 10 days. Jan 1st 12am + 10 days = Jan 11th 12am.

Multiple choice

DIRECTIONS: Read the statements given below the answer the following questions. Seven members of a family V, W, X, Y, T, R and Z are travelling to seven destinations Chennai, Delhi, Hyderabad, Bengaluru, Jaipur, Pune and Bhopal not necessarily in the same order. Each one of them has a different profession doctor, engineer, consultant, banker, professor, businessman and sportsman not necessarily in the same order. W is a banker and he travels to Delhi. Z is a sportsman and he does not travel to Jaipur or Chennai. T is not a doctor or professor and he travels to Hyderabad. Consultant does not travel to Hyderabad or Bengaluru. Businessman travels to Pune. R travels to Bengaluru. X, the doctor travels to Chennai. Y is not a businessman At what time between 4:00 am and 5:00 am will the hands of clock be together?

  1. 24 9/11 minutes past 4

  2. 23 9/11 minutes past 4

  3. 21 9/11 minutes past 4

  4. 21 7/11 minutes past 4
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The question asks for the time between 4:00 and 5:00 am when the hands of the clock are together. The formula is T = (60/11) * H, where H=4. T = 240/11 = 21 9/11 minutes past 4.

Multiple choice

Mr. Alaram designed a new clock, which has 12 divisions as usual, represented by the numbers 1 to 12. But the speed of the minute hand is directly proportional to the digit, which it is going to approach, i.e. if the minute hand is between 1 and 2, its speed is proportional to 2 and if it is between 11 and 12, its speed is proportional to 12. The speed of the minute hand, when it is between 12 and 1 is equal to that of an ordinary clock and both the clocks were set at 9 : 00 am. What will be the time in the ordinary clock, if the new clock shows 9 : 30 am?

  1. 9 : 12 : 15 am

  2. 9 : 20 : 15 am

  3. 9 : 24 : 15 am

  4. 9 : 30 : 15 am

  5. 9 : 15 : 15 am
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The minute hand speed is proportional to the digit it is approaching. Between 12 and 1, speed is 1x (normal). Between 1 and 2, speed is 2x, and so on. To reach 30 minutes, the hand covers the distance from 12 to 1 (5 mins at 1x speed = 5 mins) and 1 to 6 (25 mins distance). However, the speed varies: 1-2 (speed 2), 2-3 (speed 3), 3-4 (speed 4), 4-5 (speed 5), 5-6 (speed 6). The time taken is 5/1 + 5/2 + 5/3 + 5/4 + 5/5 + 5/6 = 5 + 2.5 + 1.66 + 1.25 + 1 + 0.83 = 12.25 minutes. Thus, 9:30 on the new clock corresponds to 9:12:15 on the ordinary clock.

Multiple choice

Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped working when the hour hand moved by 210 degrees on the clock. Q stopped working when the hour hand moved by 240 degrees. P took two tea breaks of 15 minutes each during her shift, but took no lunch break. Q took only one lunch break for 20 minutes, but no tea breaks. The market rate for consultants is USD 200 per hour and breaks are not paid. After paying the consultants, the client shall have USD _____ remaining in the budget.

  1. 166.67

  2. 300.00

  3. 433.33

  4. 000.00
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Hour hand moves 30 degrees per hour. P worked 210/30 = 7 hours. P had 30 mins (0.5 hrs) of breaks, so paid for 6.5 hours. P pay = 6.5 * 200 = 1300. Q worked 240/30 = 8 hours. Q had 20 mins (1/3 hr) break, so paid for 7.666 hours. Q pay = 7.666 * 200 = 1533.33. Total pay = 2833.33. Remaining = 3000 - 2833.33 = 166.67.