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CAT Previous Year Questions: Clocks | Quantitative Aptitude (Quant) PDF Download
2023
Q1: The minor angle between the hours hand and minutes hand of a clock was observed at 8:48am. The minimum duration, in minutes, after 8.48 am when this angle increases by 50% is
(a) 36/11
(b) 24/11
(c) 2
(d) 4
Ans: b
Sol: The hour hand completes one full rotation in 12 hours, rotating in the clockwise direction.
08:48 is the time elapsed after 8.8 hours(and not 8.48 hours) from 12-o-clock. This means the angle covered by the hour hand isAt 8:48, the minutes’ hand would have covered 48/60 x 360 = 288o
The difference is 24 degrees. Since the minutes’ hand is ahead of the hours’ hand at 8:48, We need a further separation of 12 degrees.
Every minute the separation between them increases byTherefore the time in minutes to achieve a difference of 12 degrees is,
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FAQs on CAT Previous Year Questions: Clocks - Quantitative Aptitude (Quant)
| 1. What are the basic concepts of clocks that are important for the CAT exam? |  |
Ans. The basic concepts include understanding the movement of the hands of the clock, calculating angles between the hour and minute hands, determining the time taken for the hands to overlap, and solving problems related to time differences. Familiarity with 12-hour and 24-hour formats is also crucial.
| 2. How can I calculate the angle between the hour and minute hands of a clock? | |
Ans. The formula to calculate the angle is: Angle = |(30*Hour - (11/2)*Minutes)|. You need to substitute the hour and minute values into this equation to find the angle between the two hands.
| 3. What types of clock-related problems are commonly asked in the CAT exam? | |
Ans. Common problems include finding the angle between the hands at a given time, determining how many times the hands overlap in a certain period, calculating the time taken for the hands to meet, and solving puzzles involving the movements of the clock hands.
| 4. How can I improve my speed in solving clock problems for the CAT exam? | |
Ans. To improve speed, practice regularly with a timer to simulate exam conditions. Familiarize yourself with common patterns and shortcuts in clock problems. Additionally, review past CAT questions to understand the types of problems asked.
| 5. Are there any tricks to remember the positions of the clock hands at specific times? | |
Ans. Yes, one trick is to remember key positions: The hour hand moves 30 degrees per hour (360 degrees in 12 hours), while the minute hand moves 6 degrees per minute (360 degrees in 60 minutes). Visualization and drawing a clock can also help in quickly estimating positions and angles.
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Sep 26, 2025
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