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Reasoning Aptitude

CLOCK MCQs

Clocks

Total Questions : 146 | Page 4 of 15 pages
Question 31. From 1 O' clock afternoon upto 10 O' clock in the night, the hands of a clock will be at right angle ______ Times.
  1.    9
  2.    10
  3.    18
  4.    20
 Discuss Question
Answer: Option C. -> 18
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 32. At what time between 4 O' clock and 5 O' clock will hands of a clock be together?
  1.    24$9/11$min past 4
  2.    23$ 9/11$ min past 4
  3.    21$ 9/11 $min past 4
  4.    54 $6/11$ min past 4
 Discuss Question
Answer: Option C. -> 21$ 9/11 $min past 4
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 33. At what time between 6 O' clock and 7 O' clock will be hands of a clock be at right angle?
  1.    49$1/11$min past 6 and 16$4/11$min past 6
  2.    50$1/11$min past 6 and 16$4 /11$min past 6
  3.    47$1/11$min past 6 and 42$1/11$min past 6
  4.    47$1/11$min past 6 and 16$4/11$min past 6
 Discuss Question
Answer: Option A. -> 49$1/11$min past 6 and 16$4/11$min past 6
Answer: (a)
Question 34. How many times the hand of a clock are at right angle in a day?
  1.    24
  2.    48
  3.    22
  4.    44
 Discuss Question
Answer: Option D. -> 44
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.
Question 35. How many times in 24 h the hands of a clock are in straight line but opposition in directions?
  1.    20
  2.    22
  3.    24
  4.    48
 Discuss Question
Answer: Option B. -> 22
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 36. How many times in a day, are the hands of a clock in straight line but opposite in directions?
  1.    20
  2.    22
  3.    24
  4.    48
 Discuss Question
Answer: Option B. -> 22
Answer: (b)
The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours (Because between 5 and 7 they point in opposite directions at 6 O' clock only).
So, in a day, the hands point in the opposite directions 22 times.
Question 37. At what time, in minutes, between 3 O' clock and 4 O' clock, both the needles will coincide each other?
  1.    5 $\text"1″"/11$ past
  2.    12 $\text"4″"/11$ past
  3.    13 $\text"4″"/11$ past
  4.    16 $\text"4″"/11$ past
 Discuss Question
Answer: Option D. -> 16 $\text"4″"/11$ past
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.
Question 38. How many rotations will the hour hand of a clock complete in 72 hours?
  1.    3
  2.    6
  3.    9
  4.    12
 Discuss Question
Answer: Option B. -> 6
Answer: (b)
Number of rotations = $72/12$ = 6
Question 39. 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
  1.    4552.67 cm
  2.    4555.67 cm
  3.    4557.67 cm
  4.    4559.67 cm
 Discuss Question
Answer: Option C. -> 4557.67 cm
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 40. How much does a watch lose per day, if its hands coincide every 64 minutes?
  1.    32 $8/14$ min.
  2.    36 $5/11$ min.
  3.    90 min.
  4.    96 min.
 Discuss Question
Answer: Option B. -> 36 $5/11$ min.
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.

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