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Clock
1.An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

Answer:Option 1

Explanation:

Solution:
Angletracedbethehourhandin6hours=(36012×6)=180

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2.The reflex angle between the hands of a clock at 10.25 is:

Answer:Option 1

Explanation:

Solution:
Angletracedbyhourhandin12512hrs=(36012×12512)=31212Angletracedbyminutehandin25min=(36060×25)=150Reflexangle=360(31212150)=36016212=19712

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

Answer:Option 1

Explanation:

Solution:
Angletracedbyhourhandin12hrs=360Angletracedbyhourhandin5hrs10min.i.e.,316hrs=(36012×316)=155

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4.How much does a watch lose per day, if its hands coincide every 64 minutes?

Answer:Option 1

Explanation:

Solution:
55min.spacesarecoveredin60min60min.spacesarecoveredin=(6055×60)min.=65511min.Lossin64min.=(6551164)=1611min.Lossin24hrs=(1611×164×24×60)min=32811min

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5.At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

Answer:Option 1

Explanation:

Solution:
When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
At 7 o'clock, they are 25 min. spaces apart.
∴ Minute hand will have to gain only 5 min. spaces.
55 min. spaces are gained in 60 min.
5 min. spaces are gained in
(6055×5)min=5511minRequiredtime=5511min.past7

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6.At what time between 5.30 and 6 will the hands of a clock be at right angles?

Answer:Option 1

Explanation:

Solution:
At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.
55 min. spaces are gained in 60 min.
40 min. spaces are gained in
(6055×40)min=43711minRequiredtime=43711min.past5

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7.The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

Answer:Option 1

Explanation:

Solution:
Angletracedbyhourhandin133hrs=(36012×133)=130Angletracedbymin.handin20min=(36060×20)=120Requiredangle=(130120)=10

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8.At 3:40, the hour hand and the minute hand of a clock form an angle of:

Answer:Option 1

Explanation:

Solution:
Angletracedbyhourhandin12hrs = 360Angletracedbyitin113hrs=(36012×113)=110Angletracedbymin.handin60min = 360Angletracedbyitin40min.=(36060×40)=240Requiredangle=(240110)=130

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9.How many times are the hands of a clock at right angle in a day?

Answer:Option 1

Explanation:

Solution:
In 12 hours, they are at right angles 22 times.
∴ In 24 hours, they are at right angles 44 times.

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10.The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

Answer:Option 1

Explanation:

Solution:
Angletracedbyhourhandin172hrs = (36012×172)=255Angletracedbymin.handin30min=(36060×30)=180Requiredangle=(255180)=75

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