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Reasoning Aptitude

CLOCK MCQs

Clocks

Total Questions : 146 | Page 2 of 15 pages
Question 11. Imagine that your watch was correct at noon, but then it began to lose 30 minutes each hour. It now shows 4 p.m. but it stopped 5 hours ago. What is the correct time now?
  1.    9:30 p.m.
  2.    11 p.m.
  3.    1 a.m.
  4.    1.30 a.m.
 Discuss Question
Answer: Option C. -> 1 a.m.
Answer: (c)
The watch loses 1/2 hour each hour.
So, it must have taken 8 hours to show 4 p.m. from 12 noon.
Thus, it stopped at 8 p.m. So, the correct time is 5 hours ahead of 8 p.m., i.e., 1 a.m.
Question 12. A watch goes fast by 15 minutes compared to the right time everyday. If it is corrected and set to the standard time at 120' clock at noon, which of the following will be the time shown by it at 4:00 a.m. in the morning?
  1.    3:45 a.m.
  2.    4:10 a.m.
  3.    4:15 a.m.
  4.    4:30 a.m.
 Discuss Question
Answer: Option B. -> 4:10 a.m.
Answer: (b)
Duration from 12 noon to 4:00 a.m. = 16 hours.
Time gained in 24 hours = 15 min.
Time gained in 16 hours = (5/24 × 16) min = 10 min.
Question 13. A watch is 1 minute slow at 1 p.m. on Tuesday and 2 minutes fast at 1 p.m. on Thursday. When did it show the correct time?
  1.    1.00 a.m. on Wednesday
  2.    5.00 a.m. on Wednesday
  3.    1.00 p.m. on Wednesday
  4.    5.00 p.m. on Wednesday
 Discuss Question
Answer: Option B. -> 5.00 a.m. on Wednesday
Answer: (b)
Time from 1 p.m. on Tuesday to 1 p.m. on Thursday = 48 hours.
So, the watch gains (1 + 2) min or 3 min in 48 hrs.
Now, 3 min are gained in 48 hrs. So, 1 min is gained in (48/3) = 16 hrs.
Question 14. A mechanical grandfather clock is at present showing 7 hr 40 min 6 sec. Assuming that it loses 4 seconds in every hour, what time will it show after exactly 6 $1/2$ hours?
  1.    14 hr 9 min 34 sec
  2.    14 hr 9 min 40 sec
  3.    14 hr 10 min 6 sec
  4.    14 hr 10 min 32 sec
 Discuss Question
Answer: Option B. -> 14 hr 9 min 40 sec
Answer: (b)
Time lost in 6 $1/2$ hours = $(6 1/2 × 4) $sec = 26 sec.
Correct time after 6$ 1/2$ hours = 7 hr 40 min 6 sec + 6 hr 30 min = 14 hr 10 min 6 sec.
Time shown by the clock = 14 hr 10 min 6 sec - 26 sec = 14 hr 9 min 40 sec.
Question 15. A clock goes slow from midnight by 5 minutes at the end of the first hour, by 10 minutes at the end of the second hour, by 15 minutes at the end of the third hour and so on. What will be the time by this clock after 6 hours?
  1.    5.15 a.m.
  2.    5.30 a.m.
  3.    6 a.m.
  4.    6.30 a.m.
 Discuss Question
Answer: Option B. -> 5.30 a.m.
Answer: (b)
Time lost I 1 hour = 5 min. Time lost in 6 hours = (5 × 6) min = 30 min.
After 6 hours, the correct time will be 6 a.m. and the clock will show 5.30 a.m.
Question 16. Find the angle between the hands of clock at 8 : 20.
  1.    130°
  2.    115°
  3.    125°
  4.    140°
 Discuss Question
Answer: Option A. -> 130°
Answer: (a)
∴ Angle traced by hour hand per minute =$(1/2)^o$
∴Angle traced by hour hand in 8h 20 min = ( 8 x 60 + 20) ×$ 1/2$ = 205°
Again, angle traced by minute hand per minute = 6°
∴ again traced by minute hand in 20 min = 20 × 6°
= 120° 
Therefore required angle = (250° - 120°) = 130°
Question 17. What will be the angle between the hands of clock at 7 : 10?
  1.    185°
  2.    155°
  3.    170°
  4.    165°
 Discuss Question
Answer: Option D. -> 165°
Answer: (d)
∴ angle traced by hour hand per minute = $(1/2)^o$
∴ angled traced by hour hand in 8 h 30 min =$[{(8 × 60) + 30}x1/2]^o$
= $[{480 + 30} ×1/2]^o$ = 510 × $(1/2)^o$ = 255°
∴ Angle traced by minute hand per minute = 6°
∴ Angle traced by minute hand in 30 min = 30 × 6° = 180°
∴ required angle = (255° - 180°) = 75°
Question 18. What angle will be traced by the hands of a clock at 7 : 35?
  1.    $7 1°/2$
  2.    $17 1°/2$
  3.    $27 1°/2$
  4.    $37 1°/2$
 Discuss Question
Answer: Option B. -> $17 1°/2$
Answer: (b)
Angle traced by hour hand per minute = $(1/2)^o$
∴ Angle traced by hour hand in 7 h 35 min = [(7 × 60) + 35] × $1°/2$ = (420 + 35) × 1°/2 = 455 × $1°/2$ = 227 $1°/2$
∴ angle traced by minute hand per minute = 6°
Angle traced by minute hand in 35 min = 35 × 6° = 210°
∴ required angle = 227 1°/2 - 201° = 17$1°/2$
Question 19. Find the angle traced by hour hand of a correct clock between 8 O' clock and 2O' clock.
  1.    180°
  2.    168°
  3.    150°
  4.    144°
 Discuss Question
Answer: Option A. -> 180°
Answer: (a)
∴ Angle traced by hour hand per minute = $(1/2)^o$
∴ Angle traced by hour hand in 1 h = 1°/2 × 60 = 30°
Time period between 8 O' clock to 2 O' clock = 6h
∴ angle traced by hour hand in 6h = 30° × 6 = 180°
Question 20. What will be the angle between the hands of clock at 8 : 30?
  1.    15°
  2.    30°
  3.    45°
  4.    75°
 Discuss Question
Answer: Option D. -> 75°
Answer: (d)
∴ Angle traced by hour hand per minute = $(1/2)^o$
∴ Angled traced by hour hand in 8 h 30 min =$[{(8 × 60) + 30}x1/2]^o$
= $[{480 + 30} ×1/2]° = 510 × (1/2)^o = 255°$
Then,  Angle traced by minute hand per minute = 6°
∴ Angle traced by minute hand in 30 min = 30 × 6° = 180°
Hence, Required angle = (255° - 180°) = 75°

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