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At what time between 6 and 7 are the hands of a clock coincide.

A) \( \Large 31\frac{8}{11} \)minutes past 6
B) \( \Large 32\frac{8}{11} \)minutes past 6
C) \( \Large 30\frac{8}{11} \)minutes past 6
D) 30 minutes past 6

Correct Answer:


B) \( \Large 32\frac{8}{11} \)minutes past 6

Description for Correct answer:
In order to coincide the minute hand has to gain 30 minutes space. Now 55 minutes are gained by minute hand in 60 minutes.

30 minutes will be gained in = \( \Large \frac{60}{55} \times 30=\frac{36}{11} \) = \( \Large 32\frac{8}{11} \) minutes.

So the hands will coincide \( \Large 32\frac{8}{11} \) minutes past 6.

Part of solved Clocks questions and answers : >> Elementary Mathematics >> Clocks

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Similar Questions

1). Find at what time between 7 and 8 o'clock will the hands of a clock will be the same straight line but not together

A). 30 minutes past 7

B). 5 minutes past 7

C). \( \Large 5\frac{5}{11} \) minutes past 7

D). 6 minutes past 7

2). How many times do the hands of a clock point towards each other in a day.

A). 6

B). 11

C). 18

D). 22

3). A clock is right at 9 a. m. The clock gains 15 minutes in 24 hours. What will be the right time when the clock indicates 12 a.m. on the following day.

A). 43 minutes past 11

B). 45 minutes past 11

C). 44 minutes past 11

D). \( \Large 44\frac{1}{2} \) minutes past 11

4). The time of a clock as seen in a mirror is 3.15 The correct time is.

A). 8.45

B). 9.45

C). 8.15

D). None of these

5). What is the angle between the hour hand and minute hand at 3.40.

A). \( \Large 120 ^{\circ} \)

B). \( \Large 130 ^{\circ} \)

C). \( \Large 140 ^{\circ} \)

D). \( \Large 150 ^{\circ} \)

6). 6, 12, 18, 24, 30, 36, ?

A). 42

B). 48

C). 52

D). 56

7). 10, 15, 25, 40, 65, ?

A). 66

B). 105

C). 72

D). 84

8). 48, 24, 72, 36, 108, 54, ?

A). 59

B). 144

C). 162

D). 176

9). 1, 4, 9, 16, ? , 36, 49, 64

A). 17

B). 20

C). 24

D). 25

10). 6, 7, 9, 12, 13, 15, ?

A). 18

B). 24

C). 36

D). 44