Quantitative Aptitude – Set Theory – At any point of time
XAT 2021 Exam Paper – Quantitative Aptitude – Set Theory – At any point of time
Q. At any point of time, let x be the smaller of the two angles made by the hour hand with the minute hand on an analogue clock (in degrees). During the time interval from 2:30 p.m. to 3:00 p.m., what is the minimum possible value of x?
90
75
45
0
105
Answer: 90
Solutions:
As the time interval is from 2:30 p.m. to 3:00. So hour hand will always lie between 2:30 and 3 :00 and minute hand will be between 6:00 to 12:00.
Now we can see the angle at 2:30 between minutes hand and hour hand will be 105 degree which will keep increasing till it get 180 and then start reducing and will become 90 degree at 3 pm. Thus the minimum possible value of x = 90