Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 7)
7.
At what time between 5.30 and 6 will the hands of a clock be at right angles?
43 5 min. past 5
11
43 7 min. past 5
11
40 min. past 5
45 min. past 5
Answer: Option
Explanation:

At 5 o'clock, the hands are 25 min. spaces apart.

To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min.

40 min. spaces are gained in 60 x 40 min = 43 7 min.
55 11

Required time = 43 7 min. past 5.
11

Discussion:
76 comments Page 2 of 8.

Swathi sayyapureddy said:   6 years ago
@Shree.

When hour hand is preceding minute hand then theta=30H~11M/2 will be used otherwise, means when min hand is preceding hour hand then theta=11M/2~30H can be used.
(4)

Dipankar Mondal said:   6 years ago
40 * 12/11 = 43 7/11.
(3)

Sonam said:   7 years ago
Can you explain me the calculation of 43 7/11 min how it comes from (60/55*40) min?
(1)

Ragav said:   7 years ago
Why we can't use 30H - 5.5H = 90 formula?

30(11/2) - 5.5H = 90.
(1)

Saidul said:   7 years ago
Thanks @Harry.

Siddharth Pandey said:   7 years ago
Tell me both the times at which der will be 90-degree b/w min hand and second hand between 1 AM/PM to 2 AM/PM using the formula mentioned above. Does this formula work for given timings?

Saravana said:   8 years ago
How the calculation (60\55)*40 = 43*7/11?

Vijaya said:   8 years ago
I don't understand how, 15 m gain? please anyone explain it.

Jack84 said:   8 years ago
@ALL.

Min=AO
Hour=OB
AOB=25 min apart
To get 90 degree= minutes has to travel another 15 min from 5 O'clock i.e. 5:40 so, 25+15=40 min.
OB i.e.hour hand travels only 5 min in 60 min so=60-5=55 min,
the rest is given by experts.
(1)

A. M. said:   8 years ago
The given explanation doesn't consider the movement of the hour hand. Between 5:30 and 6, the hour hand will also have moved. Then the minute hand will need to cover a little more than (25 + 15) minutes' space.
(1)


Post your comments here:

Your comments will be displayed after verification.