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At what time between 5 and 6, are the ha...

At what time between 5 and 6, are the hands of a clock coincides ?

A

a) 22 min past 5

B

b) 30 min past 5

C

c) `22(8)/(11)` past 5

D

d) `27 (3)/(11)` past 5

Text Solution

Verified by Experts

The correct Answer is:
D

From the figure, we find that minute hand is 25 min spaces apart from hour hand-in-order to coincide, it has to gain 25 min spaces. Now, 55 min are gained by minute hand in 60 min. 25min will be gained in
`(60)/(55) xx 25 = 27(3)/(11)` min
So, the hands will coincide at `27(3)/(11)` min past 5.
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Knowledge Check

  • At what time between 5:30 and 6 O'clock, will the hands of a clock be at right angle ?

    A
    `43(3)/(11)` min past 5
    B
    `43(7)/(11)` min past 5
    C
    40 min past 5
    D
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  • At what time between 8 and 9 will be hands of a clock be together ?

    A
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    B
    `43 (7/11)` minutes pas 8
    C
    `43 (8/11)` minutes past 8
    D
    `44 (10/11)` minutes pas 8

  • Find the time between 5 and 6 o'clock when the hands of a clock are 3 minutes apart.

    A
    65 degree
    B
    80 degree
    C
    70 degree
    D
    72 degree

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