23
Q:

# At 3.40, the hour hand and the minute hand of a clock form an angle of:

 A) 120 degrees B) 125 degrees C) 130 degrees D) 135 degrees

Answer:   C) 130 degrees

Explanation:

Angle traced by hour hand in 12 hrs. = 360º.

Angle traced by it in  ${\color{Black}&space;\frac{11}{3}}$ hrs=  ${\color{Black}&space;\left&space;(&space;\frac{360}{12}&space;\times&space;\frac{11}{3}\right&space;)^{o}}$=${\color{Black}110&space;^{o}}$

Angle traced by minute hand in 60 min. = 360º.

Angle traced by it in 40 min. =${\color{Black}\left&space;(&space;\frac{360}{60}&space;\times&space;40\right&space;)^{o}}$=${\color{Black}240^{o}}$

${\color{Black}&space;\therefore&space;}$ Required angle (240 - 110)º = 130º.

Subject: Clock puzzles
Q:

Find at what time between 9 and 10 o’clock will the hands of a clock be in 180° ?

 A) 180/14 min past 10 B) 180/11 min past 9 C) 148/7 min past 10 D) 154/11 min past 9

Answer & Explanation Answer: B) 180/11 min past 9

Explanation:

At 9 o’clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. spaces apart.
So, the minute hand should gain = (30 - 15) minutes = 15 minutes
55 minutes will be gained in 60 min.
15 minutes spaces will be gained in ((60/55) x 15) min. = 180/11 min.
The hands will be in the same straight line but not together i.e.,in 180 degrees at 180/11 min. past 9.

Filed Under: Clock puzzles
Exam Prep: Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

1 98
Q:

Minute hand overlaps hour hand in 65 mins. In how many days it will gain 1440 hours ?

 A) 57 days B) 58 days C) 60 days D) 61 days

Answer & Explanation Answer: C) 60 days

Explanation:

In this problem , it has considered that 65 mins = 1hr
So mins has increased by 5 mins so multiply 5 x 24 = 120 mins extra ,
That is now per day it adds 2hr extra, so divide 1440/26 = 59.384 days =~ 60 days.

Filed Under: Clock puzzles
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

3 120
Q:

How many minutes is it until 6 o'clock if 50 minutes ago it was 4 times as many minutes past 3 o'clock ?

 A) 26 min B) 24 min C) 22 min D) 20 min

Answer & Explanation Answer: A) 26 min

Explanation:

Let the required number of minutes = M
Total minutes between 3o'clock and 6o' clock = 180 minutes
M + 50 + 4M = 180
5M + 50 = 180
5M = 130
M = 26 minutes.

Filed Under: Clock puzzles
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

1 116
Q:

The reflex angle between the hands of a clock at 11:35 is ?

 A) 137.5 degrees B) 222.5 degrees C) 192.5 degrees D) 330 degrees

Answer & Explanation Answer: B) 222.5 degrees

Explanation:

Apply the formula for finding the angle:
Angle=(30h-(11/2)m( where m stands for minutes and h stands for hours)
Hence, 30x11 - 11/2x35 = 330 - 192.5 = 137.5 degrees
The reflex angle = 360 - 192.5 degree = 222.5 degrees.

Filed Under: Clock puzzles
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

2 171
Q:

There is a clock which shows false timing ie it shows 20 minutes less for each 1 hour. If the clock shows 12 noon now how many minutes will be lost when it shows 2 pm ?

 A) 36 minutes B) 48 minutes C) 35 minutes D) 60 minutes

Answer & Explanation Answer: D) 60 minutes

Explanation:

For 1 hour, 20 minutes is slower, then for
06 miuntes - 2 minutes is slower
30 minutes - 10 minutes
Actual time | false time
12 12
01 PM 12:40 PM (20 minutes slower)
02 PM 01:20 PM
03 PM 02:00 PM

So, when actual time is 3pm, the false time is 2 pm.
So, it loses 60 minutes when it shows 2 pm.