How to Solve Clocks Question Quickly

Type 2: Solve Clocks Questions

Ques 1. Determine the time at which the minute and the hour hand will be in the same straight line facing opposite directions between 2 and 3 o’clock.

Options:

A. 2:43(7/11) P.M.

B. 2:45 P.M.

C.2:50(1/13) P.M.

D. None of the above

Solution:     Degrees in a straight line = 180⁰

When we apply the formula, 11/2M – 30H

=  (180+60)/2  = 11M

Or M =43(7/11)

Correct Answer: Option A

Question 2. A clock is set to correct timing at 8 a.m. In the next 24 hours, it gains 10 minutes. What will be the true time when the clock displays time to be 1 P.M?

Options

A. 12: 48 P.M

B.  2:50 P.M.

C. 1: 30 A.M.

D. Cannot Be Determined

Solution:     Number of hours from 8 A.M on a day to 1 P.M the next day = 29

24 hours 10 minutes of this clock = 24 hours of a correct clock

145/6    hours of this incorrect clock = 24 hours of the correct clock

29 hours of incorrect clock = 24 x 6/145 x 29 hours of the correct clock

= 28 hours and 48 minutes of the correct clock

Therefore, the correct time is 28 hours and 48 minutes after 8 A.M

Which means, the true time will be 12:48 P.M.

Correct Answer: Option A

Question 3. What is the time between 4 and 5 o’clock, when the hands of the watch points in the opposite direction?

Options

A.  4:54 o’clock

B.  5 o’clock

C. 10 o’clock

D. Cannot be Determined

Solution:      Hands of the clock are 20 min. spaces apart when the time is 4 o’clock

They must be 30 min. Spaces apart to be in opposite directions.

Minute hand needs to gain 50 min. spaces

A clock gains 55 min. spaces in 60 minutes

50 min spaces are gained in

=  60/55 x 50 minutes

= 54(6/11)

The needed time = 54(6/11) past 4, or

= 4: 54

Correct Answer: Option A