At what time, in minutes, between 5 and 6'o clock will the hands of the clock be at right angles for the first time?
A)
10(10/11)
B)
11(5/11)
C)
5(5/11)
D)
9(7/11)
Correct Option - A
Explanation
At 5'o clock, the hour hand is 25 minute spaces ahead of the minute hand.
To be at right angles, they should be 15 minute spaces apart.
The minute hand has to gain 10 minute spaces over the hour hand.
55 minute spaces are gained in 60 minutes.
10 minute spaces are gained in
(60/55)*10 = 120/11
= 10(10/11) minutes
When asked what the time is, a person answered that the amount of time left is 1/5 of the time already completed. What is the time?
A)
08:00:00 PM
B)
08:00 AM
C)
12 pm
D)
12 am
Correct Option - A
Explanation
Let the time be x hours.
(24-x) = x/5
120-5x=x
x=20
The time is 8 pm.
How many times in a day do the hands of a clock lie in a straight line?
A)
44
B)
48
C)
24
D)
24
Correct Option - A
Explanation
No. of times the hands coincide = 22
No. of times the hands lie in opposite directions = 22
They lie in a straight line 44 times.
If the minute hand of a clock has moved 300°, how many degrees has the hour hand moved?
A)
25°
B)
27°
C)
30°
D)
36°
Correct Option - A
Explanation
When the minute hand moves 360°, the hour hand moves 30°
When the minute hand moves 300°, the hour hand moves
30*300/360 = 25°
Two clocks start striking together at noon. The first clock strikes every 3 seconds and the second clock strikes every 2.5 seconds. Find the interval between the seventh strike of
A)
11 seconds
B)
8.5 seconds
C)
6 seconds
D)
8 seconds
Correct Option - D
Explanation
The clocks start striking at the zeroth second.
First strike - 0th second
Seventh strike of first clock
6*3 = 18 seconds
Fifth strike of second clock
4*2.5 = 10 seconds
Time interval
8 seconds
A watch which gains 5 seconds every 3 minutes was set right at 9 a.m. What is the true time when the watch shows 6:15 p.m. that evening?
A)
6:30 pm
B)
6:08 pm
C)
6 pm
D)
6:18 pm
Correct Option - C
Explanation
Time from 9 a.m. to 6:15 p.m.
= 9 hours 15 minutes
= 555 minutes
3 minutes 5 seconds of this clock
= 3 minutes of correct clock
185 seconds of this clock
= 180 seconds of correct clock
1 minute of this clock
= (180/185) minutes of correct clock
555 minutes of this clock
= (180/185)*555
= 540 minutes
= 9 hours of correct clock
Correct time is 6 p.m.
At what time, in minutes, between 6’o clock and 7’o clock do the hour hand and minute hand of the clock coincide?
A)
32(8/11)
B)
31(4/11)
C)
30(4/11)
D)
34(8/11)
Correct Option - A
Explanation
The hour hand and minute hand coincide every 65(5/11) minutes. They coincide at 12’o clock.
Between 6 and 7, they coincide at
6*5(5/11) = 360/11 = 32(8/11) minutes