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Clocks

Q.No: 1
Test Name : CAT Paper 1994
Q51 – 90 : Choose the best alternative.

It takes the pendulum of a clock 7 seconds to strike 4 o’clock. How much time will it take to strike 11 o’clock?

A
18 seconds
B
20 seconds
C
19.25 seconds
D
23.33 seconds
Answer key/Solution
Solution:
Q.No: 2
Test Name : CAT Paper 1996

In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hr 18 min and 15 s of watch time. What is the time gained or lost by this watch in one day?

A
14 min 10 s lost
B
13 min 50 s lost
C
13 min 20 s gained
D
14 min 40 s gained
Answer key/Solution
Solution:
Q.No: 3
Test Name : CAT Paper 2001
Directions for questions 1 to 37: Answer the questions independently.

If 09/12/2001(DD/MM/YYYY) happens to be Sunday, then 09/12/1971 would have been a

A
Wednesday
B
Tuesday
C
Saturday
D
Thursday
Answer key/Solution
Solution:
In 30 years from 1971 to 2001, number of odd days = 30 + (8 from leap years) = 38 and 38 ≡ 3 mod 7 So December 9, 1971 is Sunday – 3 days = Thursday
Q.No: 4
Test Name : CAT Paper 1990

If equal numbers of people are born on each day, find the approximate percentage of the people whose birthday will fall on 29th February. (If we are to consider people born in 20th century and assuming no deaths).

A
0.374
B
0.5732
C
0.0664
D
None of these
Answer key/Solution
Solution:
Q.No: 5
Test Name : CAT Actual Paper 2023 Slot 1

The minor angle between the hours hand and minutes hand of a clock was observed at 8:48 am. The minimum duration, in minutes, after 8:48 am when this angle increases by 50% is

A
24/11
B
4
C
2
D
36/11
Answer key/Solution
Solution:
The angle moved by hour hand in 8 hours = 30°× 8 = 240°
Angle difference in 1 minute between hour hand and minute hand = (11/2)°
Angle difference in 48 minutes between hour hand and minute hand 48 × (11/2)° = 264°
So minor angle between them = 264° – 240° = 24° 50% of 24° = 12°
Hence, 12° will increase in 12/(11/2) = 24/11 minutes.
Solution:

Solution:

Solution:
In 30 years from 1971 to 2001, number of odd days = 30 + (8 from leap years) = 38 and 38 ≡ 3 mod 7 So December 9, 1971 is Sunday – 3 days = Thursday

Solution:

Solution:
The angle moved by hour hand in 8 hours = 30°× 8 = 240°
Angle difference in 1 minute between hour hand and minute hand = (11/2)°
Angle difference in 48 minutes between hour hand and minute hand 48 × (11/2)° = 264°
So minor angle between them = 264° – 240° = 24° 50% of 24° = 12°
Hence, 12° will increase in 12/(11/2) = 24/11 minutes.

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