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GATE Mechanical Engineering · Mechanics - Kinematics and Collisions · 2015-2025

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2025 Q3

Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously bu...

mediumanswer key
2023 Q4

The minute-hand and second-hand of a clock cross each other ________ times between 09:15:00 AM and 09:45:00 AM on a day.

medium
2022 PYQ

In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day?

mediumanswer keyelite explanation
2021 Q3

A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM. The immediate next time that they will beep together is _________

mediumanswer key
2019 Q3

A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the factory?

easyanswer key
2019 PYQ

A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the factory?

easyanswer keyelite explanation
2018 Q8

A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many...

mediumanswer key
2018 Q28

A point mass is shot vertically up from ground level with a velocity of 4 m/s at time, t = 0. It loses 20% of its impact velocity after each collision with the ground. Assuming tha...

hardanswer key
2015 PYQ

Consider an ant crawling along the curve $$\,{\left( {x - 2} \right)^2} + {y^2} = 4,$$ where $$x$$ and $$y$$ are in meters. The ant starts at the point $$(4, 0)$$ and moves counter...

easy