# 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?

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 1 of 7.
Nanthakumar said:
6 months ago

Simple method.

55 = 60.

Then 5 = x.

55x= 300.

x=300/55.

x= 5 5/11.

55 = 60.

Then 5 = x.

55x= 300.

x=300/55.

x= 5 5/11.

(1)

Rohit Joshi said:
9 months ago

As the clocks are in a straight line but not together, the angle formed by the hands of the clock will be 180.

Now, We know that Angle = |30*Hours - 11/2*Minutes|

Therefore, 180 = 30*7 * 11/2 * Minutes.

210 - 180 = 11/2 * Minutes.

30 = 11/2 * Minutes.

60/11 = Minutes.

55 * 5/11 = Minutes.

So, finally, the answer is D.

Now, We know that Angle = |30*Hours - 11/2*Minutes|

Therefore, 180 = 30*7 * 11/2 * Minutes.

210 - 180 = 11/2 * Minutes.

30 = 11/2 * Minutes.

60/11 = Minutes.

55 * 5/11 = Minutes.

So, finally, the answer is D.

(10)

Tushar said:
2 years ago

To calculate the angle between hr hand and min hand.

we have formula ->> 30*Hours-11/2*minutes.

In the above question, they said that minute and hour hands are in one line but not together means Angel between them should be 180°.

:: 30 * 7 - 11/2 * x = 180°.

Then, x = 5.4545 ~5 + 5/11.

we have formula ->> 30*Hours-11/2*minutes.

In the above question, they said that minute and hour hands are in one line but not together means Angel between them should be 180°.

:: 30 * 7 - 11/2 * x = 180°.

Then, x = 5.4545 ~5 + 5/11.

(27)

Mohit Sharma said:
3 years ago

Î¸ = { hour * 30 } diff { min * 11/2 } take difference between greater value and smaller value.

Now for the straight line, we know Î¸ = 180.

We can put all these values in the formula

Hour = 7

Î¸ = 180

min = ?

Î¸ = hour * 30 diff min * 11/2.

180 = { 7 * 30 } diff { min* 11/2}.

180 = { 210 } diff { min* 11/2},

min = 2/11 * 210-180,

min = 60/11.

which is equal to 5 5/11.

Now for the straight line, we know Î¸ = 180.

We can put all these values in the formula

Hour = 7

Î¸ = 180

min = ?

Î¸ = hour * 30 diff min * 11/2.

180 = { 7 * 30 } diff { min* 11/2}.

180 = { 210 } diff { min* 11/2},

min = 2/11 * 210-180,

min = 60/11.

which is equal to 5 5/11.

(3)

Ashwini said:
4 years ago

60/55 I don't get this step. Please anyone explain.

(1)

Bangya said:
4 years ago

Assume that the time is 1 O'clock. If we look in a clockwise direction, it's 55 min space but if we look in the anticlockwise direction, it's 5-minute space. Can somebody explain which direction should we look to know the correct minute space?

If both directions are correct, then 5-minute space will be equal to 55-minute space.

If both directions are correct, then 5-minute space will be equal to 55-minute space.

(1)

Santhoshi vempati said:
4 years ago

The angle between minute's hand hour's hand=30H-(11/2)M.

H = hours; M = minutes.

Given hour's and minute's is a straight line, so the angle is 180degrees.

180 = 30(7) - (11/2) * M,

M = 60/7 = 5 5/11,

So, the answer is 5 5/11min.past 7.

H = hours; M = minutes.

Given hour's and minute's is a straight line, so the angle is 180degrees.

180 = 30(7) - (11/2) * M,

M = 60/7 = 5 5/11,

So, the answer is 5 5/11min.past 7.

(7)

Ajeesh R Nair said:
4 years ago

@Himanshu

How min hand increases angle? Please explain.

How min hand increases angle? Please explain.

Dara. Sai Madhukar said:
4 years ago

This question is solved by using formula.

A=30*HOUR -5.5*MINUTES.

Here we aer going to take A =180 degrees (straight line).

180=30*7-5.5*M.

M is minutes.

A=30*HOUR -5.5*MINUTES.

Here we aer going to take A =180 degrees (straight line).

180=30*7-5.5*M.

M is minutes.

(1)

Sonia said:
5 years ago

At 7:05 both hands of the clock make a straight line.

So by taking 5 minutes use formula (5*12/11), that's it.

So by taking 5 minutes use formula (5*12/11), that's it.

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