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:
77 comments Page 2 of 8.

Ankita said:   6 years ago
@Abi and @ Babu.

When two hands coincide after exactly one hour, minutes hand travels one full circle that is 60 spaces but hours hand moves 5 space forward. So after exactly one hour later, they gain 55 spaces are their relative gain.
(2)

MATH EXPERT said:   10 years ago
FORMULA :

Guess P = ANS .
(11/2) x (minutes) - 30 x (Hours) = 90 degree.
11/2 x P - 30 x 5 = 90,

P = 480/11= ANS.
(1)

Jeyamani said:   1 decade ago
Actually the question is between 5.30 & 6.00. But you have taken from 5.00. Why?
(1)

Priya said:   1 decade ago
Why you are consider 5 while given time is 5:30?
(1)

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)

A. M. said:   9 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)

Jack84 said:   9 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)

Ragav said:   8 years ago
Why we can't use 30H - 5.5H = 90 formula?

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

ABI said:   6 years ago
55min spaces are gained in 60min. What it is, Can someone explain to me this?
(1)

Lakhan singh meena said:   1 decade ago
Direct formula:

6*x - 90 = 30(y + x/60);

Where y = 5 hr.

So 6x = 30(5 + x/60) + 90;

x = 43(7/11)min. past 5.


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