9 practice sets · Page 1 of 1
Calculate the angle between the two hands of a clock when the clock shows 4:20 PM.
5 degrees
15 degrees
25 degrees
10 degrees
Correct Answer: D — 10 degrees
Explanation:
The correct answer is 10 degrees. At 4:20, the minute hand is at 4 (120°). The hour hand = 120° + (20×0.5°) = 120° + 10° = 130°. Angle = 130° - 120° = 10°.
Find at what time between 9 and 10 o'clock will the hands of a clock be at 180°?
180/14 min past 10
180/11 min past 9
148/7 min past 10
154/11 min past 9
Correct Answer: B — 180/11 min past 9
Explanation:
The correct answer is 180/11 min past 9. At 9 o'clock the hands are 15 minute-spaces apart. For 180°, the minute hand must gain 15 more spaces (30 - 15 = 15). At 55 spaces per 60 min, 15 spaces = (60/55)×15 = 180/11 minutes past 9.
At what time between 2 and 3 o'clock do the hands of a clock coincide?
1 11/10 minutes past 3
1 10/11 minutes past 2
1 10/11 minutes past 3
11 10/11 minutes past 2
Correct Answer: B — 1 10/11 minutes past 2
Explanation:
The correct answer is 10 10/11 minutes past 2. At 2 o'clock the hands are 10 minute-spaces apart. The minute hand gains 55 spaces in 60 minutes, so it gains 10 spaces in (60/55)×10 = 120/11 = 10 10/11 minutes.
At 3:40, the hour hand and the minute hand of a clock form an angle of?
125 degrees
135 degrees
120 degrees
130 degrees
Correct Answer: D — 130 degrees
Explanation:
The correct answer is 130 degrees. At 3:40: minute hand is at 8 (240°), hour hand position = 90° + (40×0.5°) = 90° + 20° = 110°. Angle = 240° - 110° = 130°.
A watch which gains uniformly is 2 minutes slow at noon on Monday and is 4 min 48 sec fast at 2 PM on the following Monday. When was it correct?
2 PM on Tuesday
2 PM on Wednesday
1 PM on Friday
3 PM on Thursday
Correct Answer: B — 2 PM on Wednesday
Explanation:
The correct answer is 2 PM on Wednesday. Total gain over 170 hours = 2 + 4.8 = 6.8 minutes. The watch was correct after gaining 2 minutes from Monday noon: (2/6.8) × 170 = 50 hours later = 2 PM on Wednesday.
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through how many degrees?
150°
155°
160°
145°
Correct Answer: B — 155°
Explanation:
The correct answer is 155°. The hour hand moves 0.5° per minute. From 12:00 to 5:10 = 310 minutes. 310 × 0.5° = 155°.
How many times in a day are the hands of a clock in a straight line but opposite in direction?
22
20
24
48
Correct Answer: A — 22
Explanation:
The correct answer is 22. The hands point in opposite directions 11 times every 12 hours (between 5 and 7 they are opposite only at 6 o'clock). So in 24 hours: 11 × 2 = 22 times.
The reflex angle between the hands of a clock at 11:35 is?
330 degrees
222.5 degrees
192.5 degrees
137.5 degrees
Correct Answer: B — 222.5 degrees
Explanation:
The correct answer is 222.5 degrees. Using the formula: Angle = |30h - (11/2)m| = |30×11 - (11/2)×35| = |330 - 192.5| = 137.5°. The reflex angle = 360° - 137.5° = 222.5°.
There is a clock which shows false timing, i.e., it shows 20 minutes less for each 1 hour. If the clock shows 12 noon now, how many minutes will be lost when it shows 2 PM?
36 minutes
48 minutes
60 minutes
35 minutes
Correct Answer: C — 60 minutes
Explanation:
The correct answer is 60 minutes. The clock loses 20 minutes every real hour. For the clock to show 2 PM (2 hours ahead on its face), 3 real hours must pass. In 3 real hours, 3 × 20 = 60 minutes are lost.
