Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion :: Arithmetic Reasoning - Section 1 (Q.No.26)

26.

Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start ?

 [A]. 7 times [B]. 8 times [C]. 9 times [D]. 11 times

Explanation:

L.C.M. of 6, 5, 7, 10 and 12 is 420.

So, the bells will toll together after every 420 seconds i.e. 7 minutes.

Now, 7 x 8 = 56 and 7 x 9 = 63.

Thus, in 1-hour (or 60 minutes), the bells will toll together 8 times, excluding the one at the start.

 Purva said: (Jan 12, 2012) Why multiply by 7*8 and so on? Please tel me.

 Ved Prakash said: (Feb 7, 2012) I also want to know why 7*8 and 7*9 are multiplied ?

 Ashish said: (Mar 16, 2013) One hr means 60 min & according to given condition (how many times will they toll together in one hr excluding start one). So they can toll together in one hr excluding start one is 8 times. (Because one toll together in 7 min i.e. max toll together excluding start one is 60/7 = 8.57).

 Nwialu Samuel said: (Aug 3, 2013) 8 is the answer because 7* 8 does not exceed 60 mins but 7 * 9 exceeds 60 mins. So from this, 8 is the answer.

 Odyssey Gohain said: (Jan 3, 2014) If we had to find the answer considering the starting toll too. What would be the answer and how would we find out?

 Sadi said: (Jun 30, 2014) 1 hour = 60 minutes. 1 minutes = 60 seconds. So 60 minutes = 60*60 = 3600 seconds. The last interval is 12 seconds so 3600/12 =300. It will give the seconds of last bell ringing in sequence. Now 300/3600*100 = 8.33. So 8 minutes is the answer.

 Priya said: (Jul 16, 2014) How did we exclude the bell tolled at the first time while getting the answer as 8 times?

 Jaspreet Singh said: (Nov 1, 2015) Five bells begin to toll together means: when they begin they toll together. Then at intervals of 6, 5, 7, 10 and 12. The only way to know when will they again toll together is by taking LCM (least common multiple). LCM of 6, 5, 7, 10 and 12 is 420 seconds. As 1 min = 60 seconds. So 420/60 = 7 minutes. So, the bells will toll together after every 7 minutes. That means 1st at 7 minutes; next at 14 minutes; next at 21 minutes and so on. Means in 1 hour if I want to calculate how many times then it will be 8 times. As total time (60 mins) = no. of times X 1 time (7 minutes). Or no. times they will toll together = Total time/1 time. i.e 60/7 = 8 times (approx). If it asks for including the beginning when they start to toll together; then it will be, 8 times + 1 time = 9 times (remember as question said that they start by tolling together then they toll in intervals of 6, 5, 7, 10 and 12 seconds).

 Sushil Ojha said: (Feb 10, 2017) It tolls together 9 times. It is; 1starting 2nd on 7 3rd on 14 4th on 21 5th on 28 6th on 35 7th on 42 8th on 49 9th on 56 minutes.

 Farah said: (Mar 9, 2017) What does it mean at the interval of 6, 5, 7, 10, 12 and why we are taking lcm? Please explain it to me.

 Mukhtar said: (Apr 12, 2017) My question is, five balls begin to toll together and toll respectively at intervals of 6, 7, 8 and 12 seconds. How many times they will toll together in one hours excluding the one at the start? A) 3. B) 5. C) 7. D) 9. Can anyone solve this?

 Nidhi said: (May 5, 2017) Ans is 9. Lcm is 336. Now 336 ÷ 60 is 5.6. 5.6 * 10 = 56. Excluding first term, we get 9.

 Siyad said: (Jun 13, 2017) Thanks for explaining @Jaspreet Singh.

 Siyad said: (Jun 13, 2017) @Nidhi. You are absolutely wrong. How did you get LCM 336? :(LCM is 420 and answer is 8 times).

 Revanth said: (Feb 13, 2018) Thank you for the explanation @Jaspreet Singh.

 Sourav Patra said: (May 25, 2020) Agree @Sushil Ojha.