type 2 position of hands of the clock Detailed Explanation And More Example
MOST IMPORTANT verbal reasoning - 5 EXERCISES
The following question based on clocks topic of verbal reasoning
(a) 30 min past 4
(b) 16 $3/4$ min past 4
(c) 38$ 2/11 $min past 4
(d) 33 min past 4
The correct answers to the above question in:
Answer: (c)
Between 4 and 5 O' clock the hands of the clock will be at right angle twice, first situation will occur when minute hand is 15 min spaces behind the hour hand and the second when minute hand is 15 min spaces ahead of the hour hand.
Fig. (ii) shows the position when minute hand is 15 min spaces behind the hour hand. To come at this position, minute hand has to gain 5 min spaces from the position at 4 O' clock. Now, 55 min are gained by minute hand in 60 min. Therefore, 5 will be gained in$ 60/55 × 5 = 60/11 $min It means that hands of the clock will be at right angle at 5$ 5/11$ min past 5.
Fig, (iii) shows the position when minute hand is 15 min spaces ahead the hour hand. To come at this position, minute hand has to gain 35 min spaces from the position at 4 O' clock Now, 55 min are gained in 60 min.
Therefore, 35 min spaces will be gained in 60 min = $60/55 × 35 min = 420/11$ min It means that second position will come at $38 2/11$ min past 4.
Now, in options 38$ 2/11 $min past 4 is available as option (c).
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Read more find hands position of the clock Based Verbal Reasoning Questions and Answers
Question : 1
At what time between 5 and 6 are the hands of a clock coincident?
a) 22 min past 5
b) 30 min past 5
c) 22$ 8/11$ min past 5
d) 27$ 3/11$ min past 5
Answer »Answer: (d)
From the figure, we find that min hand is 25 min spaces behind the hour hand. In order to coincide, it has to again 25 min spaces.
Now, 55 min are gained by minute hand in 60 min.
Therefore, 25 min will be gained in $60/55 × 25 = 27 3/11$
So, the hands will coincide at 27 $3/11$ min past 5.
Question : 2
At what time between 3 and 4 O' clock will the hands of a clock coincide?
a) 45 min past 3
b) 15$ 10/11 $min past 3
c) 10$ 12/11 $min past 3
d) 16$ 4/11$ min past 3
Answer »Answer: (d)
At 3 O' clock both the hands of the clock are 15 min apart. Hence, in order to be together, minute hand will have to gain 15 min spaces in order to coincide with the hour hand. Now, 55 min are gained by minute hand in 60 min.
Therefore, 15 min will be gained in $(60/55 × 15) min = (12/11 × 15) min $= $180/11 or 16 4/11 min$
Therefore, the hands will coincide at 16$ 4/11$ min past 3.
Question : 3
Find at what time between 8 and 9 O' clock will the hands of a clock be in the same straight line but not together?
a) 10 $10/11$ min past 8
b) 50 $10/11 $min past 8
c) 10 $12/11 $min past 8
d) 10 min past 8
Answer »Answer: (a)
Fig (i) shows the positions of the hands of the clock at 8 O' clock and it is clear that they are 20 min apart. To be in the straight line, they have to be 30 min apart.
So, the minute hand will have to gain 10 min space in order to be 30 min apart from hour hand. Since 55 min are gained in 60 min,
Therefore, 10 min will be gained in $60/55 × 10 = 12/11 × 10 min $
Therefore, the hands will be in straight line but not together at $10 10/11 $min past 8.
Question : 4
How much does a watch lose per day, if its hands coincide every 64 minutes?
a) 32 $8/14$ min.
b) 36 $5/11$ min.
c) 90 min.
d) 96 min.
Answer »Answer: (b)
55 min. spaces are covered in $(60/55 × 60)$ min. = 65 $5/11$ min.
Loss in 64 min. = $(65 5/11 - 64)$ = $16/11$ min.
loss in 24 hrs = $(16/11 × 1/64 × 24 × 60)$ min. = 32 $8/11$ min.
Question : 5
The hands of a clock are 10 cm and 7 cm respectively. The difference between the distance traversed by their extremities in 3 days 5 hours is
a) 4552.67 cm
b) 4555.67 cm
c) 4557.67 cm
d) 4559.67 cm
Answer »Answer: (c)
Number of rounds completed by the minute hand in 3 days 5 hrs
= (3 × 24 + 5) = 77.
Number of rounds completed by the hour hand in 3 days 5 hrs
= $(3 × 2 + 5/12) = 6 5/12$
Therefore, Difference between the distance traversed = $[77 × (2 × 22/7 × 10) - 6 5/12 × (2 × 22/7 × 7)]$ cm
= (4840 - 282.33) cm = 4557.67 cm.
Question : 6
At what time, in minutes, between 3 O' clock and 4 O' clock, both the needles will coincide each other?
a) 5 $\text"1″"/11$ past
b) 12 $\text"4″"/11$ past
c) 13 $\text"4″"/11$ past
d) 16 $\text"4″"/11$ past
Answer »Answer: (d)
At 3 O' clock, the minute hand is 15 min. Spaces apart from the hour hand. To be coincident, it must gain 15 min. spaces. 55 min. are gained in 60 min. 15 min. are gained in (60/55 × 15)min. = 16 4/11 min.
Therefore, the hands are coincident at 16 4/11 min. past 3.
GET clocks PRACTICE TEST 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
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