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 4 of 8.

Lakhan singh meena said:   9 years 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.

Prashanth said:   10 years ago
If the minute hand is present before hour hand then use theta = 11/2min-30hr.

Like that hour hand is before minute hand theta = 30hr-11/2hr.

Use it you will get exact solution.

Adi said:   10 years ago
Dear sir,

Please prove formula.

Abc said:   10 years ago
Superb formula. Thanks alot.

Nagu said:   10 years ago
Why the spaces are same for 5'clock and 7'clock == 25 spaces?

In which direction we have to take the spaces clock wise or anti clock wise?

Krish said:   1 decade ago
I have the same doubt as @Margaret said. Please anyone explain it.

Ranjeesh said:   1 decade ago
@Reddilavan your formula is ok. But why are you take only the number 5 in our west. Time give 5.30. Any one can explain?

Jonas palmiano said:   1 decade ago
What time after 4 o'clock will the hands of the clock be at right angle? Please help.

A v said:   1 decade ago
@Aaaa.

Because hour hand will move too as 40 mins passes by. Thereby, no chance to get an exact 90 ° formation between hands.

Aaaa said:   1 decade ago
If 40 past 5 makes 90 degrees why isn't that the answer?


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