There are five bells which start ringing toge | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) To find when the bells ring together,we need to calculate the $L.C.M.$ of the given intervals: $3, 6, 9, 12, 15$ seconds.Prime factorization:$3 =

Vedclass · Accepted Answer

$13$

Vedclass · Answer

(A) To find when the bells ring together,we need to calculate the $L.C.M.$ of the given intervals: $3, 6, 9, 12, 15$ seconds.Prime factorization:$3 = 3^1$$6 = 2^1 	imes 3^1$$9 = 3^2$$12 = 2^2 	imes 3^1$$15 = 3^1 	imes 5^1$$L.C.M. = 2^2 	imes 3^2 	imes 5^1 = 4 	imes 9 	imes 5 = 180$ seconds.This means the bells ring together every $180$ seconds,which is equal to $3$ minutes.In $36$ minutes,the number of times they ring together is $\frac{36}{3} = 12$ times.Since they start ringing together at the $0^{th}$ minute,we add $1$ to the result.Total times = $12 + 1 = 13$ times.

There are five bells which start ringing together at intervals of $3, 6, 9, 12$ and $15$ seconds respectively. In $36$ minutes,how many times will the bells ring simultaneously?

Similar Questions

Find the least number of five digits which when divided by $8, 12, 16$ and $20$ leaves remainders $1, 5, 9$ and $13$ respectively.

The product of two numbers is $4212$ and their $HCF$ is $9$. Find the possible pair of numbers.

Find the highest common factor of $36$ and $84.$

Find the greatest number of four digits which is exactly divisible by $24, 28, 30$ and $35$.

Three men start together to travel the same way around a circular track of $11 \text{ km}$ in circumference. Their speeds are $4 \text{ km/h}$,$5.5 \text{ km/h}$,and $8 \text{ km/h}$ respectively. When will they meet at the starting point? (in hours)

Vedclass Test Series

Exam Paper Generator

Online Exam Module