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At what time between 4 and 5 o'clock will the hand of a clock be at right tingle?

A) \( \Large 38\frac{2}{11} \)minutes past 4
B) \( \Large 36\frac{2}{11} \)minutes past 5
C) 38 minutes past 4
D) \( \Large 36\frac{2}{11} \)minutes past 4

Correct Answer:

A) \( \Large 38\frac{2}{11} \)minutes past 4

Description for Correct answer:
Between 4 and 5 o 'clock the hands of the clock will be at right angle once. When the two hands are at right angles, they are 15 minutes space apart. When the minutes hand is 15 minute space ahead of the hour hand.

To this the minute hand will have to gain \( \Large \left(20+15\right) \) minutes

= 35 minutes space.

Now, 55 minutes space are gained in 60 minutes.

35 minutes spaces will be gained in \( \Large \left(\frac{60}{55} \times 35\right) \) minutes

= \( \Large 38\frac{2}{11} \) minutes

So they are at right angle at \( \Large 38\frac{2}{11} \) minutes past 4.

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

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Similar Questions

1). 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

2). 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

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

A). 6

B). 11

C). 18

D). 22

4). 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

5). 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

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

7). 6, 12, 18, 24, 30, 36, ?

A). 42

B). 48

C). 52

D). 56

8). 10, 15, 25, 40, 65, ?

A). 66

B). 105

C). 72

D). 84

9). 48, 24, 72, 36, 108, 54, ?

A). 59

B). 144

C). 162

D). 176

10). 1, 4, 9, 16, ? , 36, 49, 64

A). 17

B). 20

C). 24

D). 25