type 2 position of hands of the clock Practice Questions Answers Test with Solutions & More Shortcuts
clocks PRACTICE TEST [5 - EXERCISES]
type 1 angle between the hands of clock
type 2 position of hands of the clock
type 3 faulty clock
type 4 time gained or lost by clock
type 5 comparing clocks
Question : 1 [I.A.S. 2009]
From 1 O' clock afternoon upto 10 O' clock in the night, the hands of a clock will be at right angle ______ Times.
a) 9
b) 10
c) 18
d) 20
Answer »Answer: (c)
Time period from 1 O' clock afternoon to 10 O' clock night = (10 - 1)h = 9 h
As we know, hands are at right angle 2 times in an hour.
Hence, in 9 h they will be at right angle 9 × 2 = 18 times
Question : 2
At what time between 6 O' clock and 7 O' clock will be hands of a clock be at right angle?
a) 49$1/11$min past 6 and 16$4/11$min past 6
b) 50$1/11$min past 6 and 16$4 /11$min past 6
c) 47$1/11$min past 6 and 42$1/11$min past 6
d) 47$1/11$min past 6 and 16$4/11$min past 6
Answer »Answer: (a)
Question : 3
At what time between 4 O' clock and 5 O' clock will hands of a clock be together?
a) 24$9/11$min past 4
b) 23$ 9/11$ min past 4
c) 21$ 9/11 $min past 4
d) 54 $6/11$ min past 4
Answer »Answer: (c)
At 4 O' clock, hour hand is at 4 and minute hand is at 12.
To be together with hour hand minute hand will have to gain 20 min. As 55 min are gained by minute hand in 60 min.
Therefore, 20 min will be gained in $(60/55 × 20)$ min = $(60 × 4/11)$ min = $240 / 11$ min
= 21 $9/11$ min Hence, the hands will be together at 21 $9/11$ min past 4.
Question : 4
How many times in 24 h the hands of a clock are in straight line but opposition in directions?
a) 20
b) 22
c) 24
d) 48
Answer »Answer: (b)
The hands of a clock are in the same straight line (but opposite in direction) 11 times in every 12 h, because between 5 and 7 they point in opposite direction at 6 O' clock only.
Therefore, in a day (24 h) the hands points in the opposite direction (2 × 11) = 22 times.
Question : 5
How many times the hand of a clock are at right angle in a day?
a) 24
b) 48
c) 22
d) 44
Answer »Answer: (d)
We know that the hands of a clock are at right angle twice in every hour but between 2 and 4 O' clock there is a common position at 3 O' clock and also between 8 and 10 O' clock there is common position at 9 O' clock.
So, they are at right angles 22 times in 12 h and therefore, in 24 h or in a day they are at right angle 44 times.
IMPORTANT verbal reasoning EXERCISES
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