130
Q:

# A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?

 A) 48 min. past 12. B) 46 min. past 12. C) 45 min. past 12. D) 47 min. past 12.

Answer:   A) 48 min. past 12.

Explanation:

Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours.

24 hours 10 min. of this clock = 24 hours of the correct clock.

$\inline \fn_jvn \frac{145}{6}$ hrs of this clock = 24 hours of the correct clock.

29 hours of this clock = $\inline \fn_jvn (24\times \frac{6}{145}\times 29)$ hrs of the correct clock

= 28 hrs 48 min of the correct clock.

Therefore, the correct time is 28 hrs 48 min. after 8 a.m.

This is 48 min. past 12.

Q:

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

$\inline \fn_jvn \small A. \: 5\frac{1}{11}$

$\inline \fn_jvn \small B.\: 15\frac{4}{15}$

$\inline \fn_jvn \small C. \: 16\frac{4}{11}$

$\inline \fn_jvn \small D.\: 4\frac{4}{15}$

 A) Option A B) Option B C) Option C D) Option D

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 $\inline \fn_jvn \small \left ( \frac{60}{55}\times 15 \right ) min$ = $\inline \fn_jvn \small 16\tfrac{4}{11}$ min.

$\fn_jvn&space;\small&space;\therefore$ The hands are coincident at  $\inline \fn_jvn \small 16\tfrac{4}{11}$ min. past 3 o'clock.

10 72
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

Explanation:

Angle traced by the hour hand in 6 hours =$\inline \fn_jvn \small \left ( \frac{360^{\circ}}{12} \times 6 \right )$ = $\inline \fn_jvn \small 180^{\circ}$.

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

8 99
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

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 $\inline&space;\left&space;(&space;2+4\frac{4}{5}&space;\right&space;)$ min. or  $\inline&space;\frac{34}{5}$ min. in 170 hrs.

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

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

$\inline&space;\therefore$ 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.

26 1300
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

Explanation:

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

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

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

25 3051
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