On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
The second hand overtakes the minute hand 59 times an hour, first at 12:00:00 and then every $\frac{3600}{59} \approx 61.02$ seconds. The window 12:05:00 to 12:55:00 is from 300 s to 3300 s. The multiples of 61.02 that fall in it run from $5 \times 61.02 = 305.1$ to $54 \times 61.02 = 3294.9$, which is 50 crossings.
More Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation questions
GATE 2024 BM Q8– The chart given below compares the Installed Capacity (MW) of four power generation…
GATE 2023 BM Q3– What is the smallest number with distinct digits whose digits add up to 45?
GATE 2023 BM Q4– In a class of 100 students, 30 like neither romantic movies nor comedy movies. The number…
GATE 2023 BM Q9– There are 1000 people, of whom 100 have a disease. In pooled testing, samples are divided…
GATE 2022 BM Q2– On 0≤x≤1, y(x)=2 for 0≤x<1/3, y(x)=3 for 1/3≤x<3/4, and y(x)=1 for 3/4≤x≤1. Find the area…
GATE 2022 BM Q8– A box has five same-sized balls: three green and two orange. Balls are drawn one at a…