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 7 of 8.

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?

Modon said:   1 decade ago
@Chandra Shekar.

At 12 pm both hour and second hands are in the same line. If it is 1 pm the hour hand is at 1 and minute hand at 12. So difference is 5 mins.

We can say, reach 1 from 12 (hour hand) needs 60 mins but space difference is 5 mins. So in 60 mins 55 mins space covered.

Akshi panwar said:   1 decade ago
15 minutes is added because perpendicular in clock is at 15 min.

After every 15 min gap between hour hand and min hand there will be a 90 degree angle is formed.

Ramkant said:   1 decade ago
Why the 15 min extra is added?

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

Vaibhav patil jadhav said:   1 decade ago
Hi guys,

Here either of the formulas can be applied but the thing is the angle must not be negative you definitely gets the answer.

Theta = 11/2(min)-30(hrs)...or theta = 30(hrs)-11/2(min).

Good luck.

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?

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

Prithish said:   1 decade ago
Instead of only taking 25+15 we can also take 25-15, that will also be a right angle.


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