25
Q:

The angle between the minute hand and the hour hand of a clock when the time is 8:30  

A) 80 Degrees B) 75 Degrees
C) 60 Degrees D) 105 Degrees

Answer:   B) 75 Degrees

Explanation:

Angle traced by hour hand in \inline \frac{17}{2} hrs = \inline \left ( \frac{360}{12}\times \frac{17}{2} \right )^{o} = 255

Angle traced by min hand in 30 min = \inline \left ( \frac{360}{60}\times 30 \right )^{o} = 180

\inline \therefore Required angle = (255 - 180) = \inline 75^{o}

Q:

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

 

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: C) Option C

Explanation:

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.

Then 15 min spaces are gained in  =  min.

 The hands are coincident at   min. past 3 o'clock.

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10 66
Q:

An accurate clock shows 7 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?

A) 144º B) 168º
C) 180º D) 150º
 
Answer & Explanation Answer: C) 180º

Explanation:

Angle traced by the hour hand in 6 hours = = .

 
 
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Filed Under: Clocks - Quantitative Aptitude - Arithmetic Ability
Exam Prep: CAT
Job Role: Bank Clerk

8 88
Q:

A watch which gains uniformly is 2 minutes low at noon on monday and is 4 min.48 sec fast at 2 p.m on the following monday. when was it correct ?

A) 2 p.m on Tuesday B) 2 p.m on Wednesday
C) 3 p.m on Thursday D) 1 p.m on Friday
 
Answer & Explanation Answer: B) 2 p.m on Wednesday

Explanation:

Time from 12 p.m on monday to 2 p.m on the following monday = 7 days 2 hours = 170 hours

\therefore The watch gains \inline \left ( 2+4\frac{4}{5} \right ) min. or  \inline \frac{34}{5} min. in 170 hrs.

Now, \inline \frac{34}{5} min. are gained in 170 hrs.

\inline \therefore 2 min are gained in \inline \left ( 170\times \frac{5}{34}\times 2 \right ) hrs = 50 hrs

\inline \therefore Watch is correct 2 days 2 hrs. after 12 p.m on monday i.e it will be correct at  2 p.m on wednesday.

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26 1293
Q:

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

A) 11 4/11 B) 13 4/11
C) 15 4/11 D) 16 4/11
 
Answer & Explanation Answer: D) 16 4/11

Explanation:

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 x 15)min
=16+4/11
The hands are coincident at 16 + 4/11 min past 3

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10 1724
Q:

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

A) 32 8/11 B) 33 8/11
C) 34 8/11 D) 35 8/11
 
Answer & Explanation Answer: A) 32 8/11

Explanation:

55min spaces are covered in 60min

60 min. spaces are covered in (60/55 x 60) min= 65+5/11 min.

loss in 64min=(65+5/11)- 64 =16/11

Loss in 24 hrs (16/11 x 1/64 x 24 x 60) min= 32 8/11.

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16 4943