105
Q:

At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?

A) 54 past 4 B) (53 + 7/11) past 4
C) (54 + 8/11) past 4 D) (54 + 6/11) past 4

Answer:   D) (54 + 6/11) past 4



Explanation:

4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min 

 

50 min. spaces are gained in 6055×50 min. or 54611 

 

Required time = 54611 min. past 4.

 

 

 

 

Q:

What time will it be 18 hours from now in India, if in the USA it is 4:15 AM?

(Hint : IST = US + 9:30 hrs)

A) 1:45 in the afternoon B) 7:45 in the evening
C) 7:45 in the next morning D) 1:45 in the next morning
 
Answer & Explanation Answer: C) 7:45 in the next morning

Explanation:

We know that the time difference between India and USA is 9 hrs 30 min.

India is 9:30 hrs ahead of USA.

Time in India = 4:15 + 9:30 = 13:45 PM.

Required Time after 18 hrs = 13:45 + 18 hrs = 7:45 AM.

 

Hence it is 7:45 AM on the next morning.

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0 77
Q:

What is the ratio of 18 minutes to one hour ?

A) 1/5 B) 3/4
C) 1/7 D) 3/10
 
Answer & Explanation Answer: D) 3/10

Explanation:

One hour = 60 min

18/60 = 3/10

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14 1462
Q:

The angle between the minute hand and the hour hand of a clock when the time is 4.15 is

A) 0 B) 37.5
C) 27 D) 15
 
Answer & Explanation Answer: B) 37.5

Explanation:

Angle between hands of a clock

 

When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock

 

=> 30H-M5+M2 degrees

 

Here H = 4, M = 15 and the minute hand is behind the hour hand.

 

Hence the angle

 

 = 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees

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14 2742
Q:

What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ?

A) 165 degrees B) 172.5 degrees
C) 112.5 degrees D) 125.5 degrees
 
Answer & Explanation Answer: B) 172.5 degrees

Explanation:

The minute hand angle is the easiest since an hour (i.e. 60 minutes) corresponds to the entire 360 degrees, each minute must correspond to 6 degrees. So just multiply the number of minutes in the time by 6 to get the number of degrees for the minute hand.
Here 15 minutes corresponds to 15 x 6 = 90 degrees

Next, you have to figure out the angle of the hour hand. Since there are 12 hours in the entire 360 degrees, each hour corresponds to 30 degrees. But unless the time is EXACTLY something o'clock, you have to write the time as a fractional number of hours rather than as hours and minutes.
Here the time is 9:15 which is (9 + 15/60) = 37/4 hours. Since each hour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees.

Since the hour hand is at 277.5 degrees and the minute hand is at 90 degrees, we can subtract to get the angle of separation. 277.5 - 90 = 187.5 =~ 360 - 187.5 = 172.5 degrees.

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10 3353
Q:

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

A) 36 7/9 min B) 32 8/11 min
C) 34 3/11 min D) 65 5/11 min
 
Answer & Explanation Answer: B) 32 8/11 min

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in open parentheses 60 over 55 cross times 60 close parentheses min. = 65 5 over 11 min.

Loss in 64 min. = open parentheses 65 5 over 11 minus 64 close parentheses equals 16 over 11 min.

Loss in 24 hrs = open parentheses 16 over 11 cross times 1 over 64 cross times 24 cross times 60 close parentheses min. = 32 8 over 11 min.

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10 3059
Q:

How many degrees will the minute hand move, in the same time in which the second hand move 4800 ?

A) 80 deg B) 160 deg
C) 140 deg D) 135 deg
 
Answer & Explanation Answer: A) 80 deg

Explanation:

As minute hand covers, 60 degrees

Minute hand covers 4800/60 = 80°

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7 2391
Q:

At what time, between 3 o’clock and 4 o’clock, both the hour hand and minute hand coincide each other  ? 

A) 3:16 7/11 B) 3:16 11/4
C) 3:30 D) 3:16 4/11
 
Answer & Explanation Answer: D) 3:16 4/11

Explanation:

Coincide means 00  angle.

This can be calculated using the formulafor time A to B means  [11m/2 - 30 (A)]

Here m gives minutes after A the both hands coincides.

Here A = 3, B = 4

0 =11m/2 –30 × 3
11m = 90 × 2 = 180
m= 180/11 = 16 4/11

So time = 3 : 16 4/11

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7 3120
Q:

A watch gains 5 seconds in 3 minutes and was set right at 8 AM. What time will it show at 10 PM on the same day ?

A) 10 : 27 : 41 AM B) 8 : 51 : 04 AM
C) 9 : 45 : 15 PM D) 10 : 23 : 20 PM
 
Answer & Explanation Answer: D) 10 : 23 : 20 PM

Explanation:

The watch gains 5 seconds in 3 minutes = 100 seconds in 1 hour.

From 8 AM to 10 PM on the same day, time passed is 14 hours.

In 14 hours, the watch would have gained 1400 seconds or 23 minutes 20 seconds.

So, when the correct time is 10 PM, the watch would show 10 : 23 : 20 PM

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