Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 6)
6.
At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?
5 min. past 7
5 2 min. past 7
11
5 3 min. past 7
11
5 5 min. past 7
11
Answer: Option
Explanation:

When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.

At 7 o'clock, they are 25 min. spaces apart.

Minute hand will have to gain only 5 min. spaces.

55 min. spaces are gained in 60 min.

5 min. spaces are gained in 60 x 5 min = 5 5 min.
55 11

Required time = 5 5 min. past 7.
11

Discussion:
68 comments Page 3 of 7.

Shubham satpathy said:   7 years ago
Trick is 60/11 *( time +or - 6).

So between 7 to 8. Time is smaller one is.7 now here 7 is big than 6 so formula become 60/11 * (7-6) which is the answer.

Jaanu said:   7 years ago
Use this formula to find angle :

Angle=((11/2)*minutes )-30* hour.

Between 7 and 8 means that the time would be something around 7. So consider 7 hours and x minutes.
180 = (11* x )/2 - 30 * 7.
210 - 180 = 11*x /2.
30 = 11*x /2.
30*2 = 11x,
60 = 11x,
X = 5.5/11.
That is 7 hours and 5 5/11 min.

G Nagesh said:   7 years ago
How is come 5*5/11?

Please explain anyone.

Shanur Rahman said:   7 years ago
@Sharmistha.

Minute hand gains 55 minutes on the hour hand.

Hrushi said:   7 years ago
How 5*5/11 come?

Please explain.

NAVI said:   7 years ago
I didn't understand the question. Can anyone help me?

Rintu said:   8 years ago
To from 180d between 7:0 to 8:0, the minute hand has to gain (35 - 30) = 5 min space.
As in 1 min =12/11 min gain.
Therfore in 5 min=12/11 * 5 = 5 * 5/11 min.

Shiv said:   8 years ago
Thanks for your solution @Shekhar.

Prasanna said:   8 years ago
Here, is some Equation:

Angle between hands = [(Hour Hand * 30) + (Minute hand * 1/2)] - Minute hand * 6.

(Hour Hand * 30) -> Because At 1 o'clock it will be 30 deg so at 7 it will be 150 deg.

Minute hand * 1/2 -> Hour hand moves 1/2 deg per min.

Minute hand * 6 -> Minute hand moves 6 deg per min.

180 = [7 * 30 + x/2] - 6x.

So, the answer is 5 5/1.

Sandun said:   8 years ago
Another way to do this.
The angle created when the time is 7 o' clock is 150*. So we have to add the extra gained by minute hand and to subtract the angle lost by hour hand.

If we put this in to an equation and we get x = 5 5\11.


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