Clock(Reasoning Aptitude ) Questions and answers for exam Preparation

Reasoning Aptitude

CLOCK MCQs

Clocks

Total Questions : 146 | Page 14 of 15 pages

Question 131. The priest told the devotes, "the bell is rung at regular intervals of 45 min. The last bell was rung 5 min ago. The next bell is due to the rung at 7 : 35 am. At what time did the priest give the information to be devotes?

7:40 AM
7:00 AM
7:05 AM
6:55 AM

Discuss Question

Answer: Option C. -> 7:05 AM
Answer: (c)
Time of ringing last bell = (7 : 45- 0 : 45) = 7 : 00 am.
But it happened 5 min before the priest gave the information to the devotes.
Therefore, Time of giving information = 7 : 00 + 0 : 05 = 7 : 05 am.

Question 132. In an accurate clock, in a period of 2 hours 20 minutes the minute hand will move over

140°
320°
520°
840°

Discuss Question

Answer: Option D. -> 840°
Answer: (d)
Angle traced by the minute hand in 2 hrs 20 min,
i.e., 140 min = $(360/60 × 140)^o= 840°$

Question 133. A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

145°
150°
155°
160°

Discuss Question

Answer: Option C. -> 155°
Answer: (c)
Angle traced by the hour hand in 12 hrs = 360°
Angle traced by the hour hand in 5 hrs 10 min, i.e., $31/6 hrs = (360/12 × 31/6)^o = 155°$

Question 134. The reflex angle between the hands of a clock at 10.25 is

180°
192.5°
195°
197.5°

Discuss Question

Answer: Option D. -> 197.5°

Given time: 10:25

Calculate the angle traced by the hour hand:
- Angle traced by the hour hand per minute = 1/2 degree (since the hour hand moves 1/2 degree per minute)
- Therefore, angle traced by the hour hand in 10 hours 25 minutes = [(10 × 60) + 25] × 1/2 degree = 625 × 1/2 degree = 312.5 degrees
Calculate the angle traced by the minute hand:
- Angle traced by the minute hand per minute = 6 degrees (since the minute hand moves 6 degrees per minute)
- Therefore, angle traced by the minute hand in 25 minutes = 25 × 6 degrees = 150 degrees
Find the reflex angle between the hour and minute hands:
- The reflex angle is the total angle formed by both hands at a given time, which is 360 degrees.
- Subtract the angles traced by each hand from the total angle to find the reflex angle:
  $36 0^{\circ} - (312. 5^{\circ} - 15 0^{\circ}) = 197. 5^{\circ}$

Therefore, the reflex angle between the hands of the clock at 10:25 is 197.5 degrees.

Question 135. At 3:40, the hour hand and the minute hand of a clock from an angle of

120°
125°
130°
135°

Discuss Question

Answer: Option C. -> 130°
Answer: (c)
Angle traced by hour hand in 12 hrs = 360°
Angle traced by it in 11/3 hrs = $(360/12 × 11/3)° = 110°$
Angle traced by minute hand in 60 min = 360°
Angle traced by it in 40 min = $(360/60 × 40)^o$ = 240°
∴ Required angle = $(240 - 110)^o$ = 130°

Question 136. Through what angle does the minute hand of a clock turn in 5 minutes?

30°
32°
35°
36°

Discuss Question

Answer: Option A. -> 30°
Answer: (a)
Angle traced by the minute hand in 5 minutes = $(360/60 × 5)^o = 30°$

Question 137. The minute hand of a clock overtakes the hour hand at intervals of 62 min of the correct time. How much does a clock gain or lose in a day?

81 $80/341$ min (loss)
81 $80/341$ min (gain)
80 $80/341$ min (loss)
80 $80/341$ min (gain)

Discuss Question

Answer: Option D. -> 80 $80/341$ min (gain)
Answer: (d)
Required result =$ (720/11 - x) (60 × 24 /x)$ min Here, x = 62
Therefore, required result = $(720/11 - 62) (60 × 24 /62)$ min
= $38/11 × 720/31 $min = 80 $80/341$ min gain (gain as sign is positive)

Question 138. The minute hand of a clock overtakes the hour hand at intervals of 65 min of the correct time. How much does a clock gain or lose in a day?

10 $10/143$ min (gain)
10 $10/143$ min (loss)
6 $10/143$ min (gain)
9 $10/143$ min (loss)

Discuss Question

Answer: Option A. -> 10 $10/143$ min (gain)
Answer: (a)
Required result = $(720/11 - x) (60 × 24 /x) $min Here, x = 65
Therefore, required result = $(720/11 - 65) (60 × 24 / 65)$ min
= $5/11 × 288/13$ min = 10 $10/143$ min gain

Question 139. The minute hand of a clock overtakes the hour hand at intervals of 76 min of the correct time. How much does a clock gain or lose in a day ?

198 $169/209$ min (loss)
198 $169/209$ min (gain)
199 $169/209$ min (loss)
199 $169/209$ min (gain)

Discuss Question

Answer: Option C. -> 199 $169/209$ min (loss)
Answer: (c)
Therefore, required result = $(720/11 - x) (60 ×24 / 76) min$
Here, x = 76 Therefore, required result = $(720/11 - 76) (60 × 24 /76) min$
= $-116/11 × 360/19 min$
= $- 199 169/206 min$ (loss as sign in negative)

Question 140. The minute hand of a clock overtakes the hour hand at intervals of 58 min of the correct time. How much does a clock gain or lose in a day?

185 $25/319$ min (loss)
185 $25/319$ min (gain)
184 $25/319$ min (loss)
184 $25/319$ min (gain)

Discuss Question

Answer: Option B. -> 185 $25/319$ min (gain)
Answer: (b)
Required result =$ (720/11 - x) (60 × 24 / X)$ min Here, x = 58
Therefore, required result = $(720/11 - 62) (60 × 24 /58)$ min
= $82/11 × 720/29 min = 185 25/319 min $gain (gain as sign is positive)