if you want to remove an article from website contact us from top.

# six bells commence tolling together and toll at intervals 2,4,6,8,10 and 12 seconds respectively. in 30 minutes how many times they toll together.

Category :

### Mohammed

Guys, does anyone know the answer?

get six bells commence tolling together and toll at intervals 2,4,6,8,10 and 12 seconds respectively. in 30 minutes how many times they toll together. from screen.

## Six bells commence tolling together and toll at intervals of 2 4 6 8 10 12 minutes respectively In 3...

Free solutions for R S Aggarwal Solutions - Mathematics - Class 10 Chapter 2 - Real Numbers Real Numbers Exercise 1B question 27. These explanations are written by Lido teacher so that you easily understand even the most difficult concepts ## RS Aggarwal Solutions Class 10 Mathematics Solutions for Real Numbers Exercise 1B in Chapter 1 - Real Numbers

Prev Question 27

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, 12

minutes respectively. In 30 hours, how many times do they toll together?

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, 12 minutes

respectively.

Find LCM using prime factorization:

2 = 2 (prime number)

4 = 2 × 2 6 = 2 × 3 8 = 2 × 2 × 2 10 = 2 × 5 12 = 2 × 2 × 3

Therefore, LCM (2, 4, 6, 8, 10, 12) = 2x 2 x 2 × 3 × 5 = 120

After every 120 minutes = 2 hours, bells will toll together.

So, required number of times = (30/2 + 1) = 16 times.

Related Questions

Question 1: Using prime factorization, find the HCF and LCM of:(i) 36, 84 (ii) 23, 31 (iii) 96, 404(...

Using prime factorization, find the HCF and LCM of:(i) 8, 9, 25(ii) 12, 15, 21(iii) 17, 23, 29(iv) 2...

The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, findthe other.

The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other.

The HCF of two numbers is 18 and their product is 12960. Find their LCM.

Is it possible to have two numbers whose HCF is 18 and LCM is 760? Givereason.

स्रोत : www.lidolearning.com

## Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

Click here👆to get an answer to your question ✍️ Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? Question

A

B

C

D

## 16

Easy Open in App Solution Verified by Toppr

Correct option is D)

Since, LCM of 2,4,810 and 12 is 120. So, after each 120 seconds, they would toll together,

Hence, in 30 minutes, they would toll

120 30×60 ​ =15 times

But then the question says they commence tolling together. So, they basically also toll at the beginning. So, total tolls together =15+1=16

503 43

स्रोत : www.toppr.com

## [Solved] Six bells commence tolling together and toll at intervals of

Given: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. Concept used: Least common multiplication&nbs Home Quantitative Aptitude Number System LCM and HCF LCM

## Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

This question was previously asked in

West Bengal Police SI Previous year paper 1 (held on 15 Dec 2019)

View all WB Police SI Papers >

10 16 9 15

Option 2 : 16

Crack SSC+Banking+Railways Combo Pass with

India's Super Teachers

FREE

Demo Classes Available*

Free Tests

View all Free tests >

FREE Cell 6.8 Lakh Users

10 Questions 10 Marks 7 Mins

Start Now

## Detailed Solution

Given:

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively.

Concept used:

Least common multiplication

Calculation:

A least common multiple of (2, 4, 6, 8, 10 and 12)

we can write 2 = 1 × 2

4 = 22 6 = 2 × 3 8 = 23 10 = 2 × 5 12 = 22 × 3

A least common multiple of (2, 4, 6, 8, 10 and 12) = 23 × 3 × 5

⇒ 8 × 3 × 5 ⇒ 120 sec

Bells ring together after every 120 sec

Required number of times in 30 minutes (30 × 60 seconds ) = [(30 × 60)/120]

⇒ 15

But we have to add 1 because at starting all bells will be rung once a time after that they ring 15 times.

⇒ 15 + 1 ⇒ 16 times

∴ The required number of times when they toll together is 16.

Share on Whatsapp

Last updated on Sep 21, 2022

RRB NTPC Result, Cut Off for Pay Level 5 declared for RRB Chandigarh. For other RRBs, the results will be released soon.  Earlier, the RRB had  released the tentative schedule for the upcoming DV &Medical Examination for various posts..  The RRB NTPC exam is conducted to fill up a total number of 35281 vacant posts. Candidates who are qualified for the Computer Based Aptitude Test will be eligible for the next round, which will be Document Verification & Medical Exam. The candidates with successful selection under RRB NTPC will get a salary range between Rs. 19,900 to Rs. 35,400. here.

Ace your Quantitative Aptitude and Number System preparations for LCM and HCF with us and master LCM for your exams. Learn today!

India’s #1 Learning Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 3.5 Crore+ Students

‹‹ Previous Ques Next Ques ››

## More LCM and HCF Questions

Q1. Two alarm clocks ring their alarms at regular intervals of 60 seconds and 88 seconds. If they first beep together at 6 ∶ 00 pm, at what time will they beep together again for the next time?Q2. By what minimum digit should 4320 be multiplied to make it a perfect cube?Q3. What is the highest common factor of

12,34,56,78 and 910 ?

Q4. What will be the least common factor of 12, 27, and 40?Q5. Two numbers are in the ratio 2 ∶ 3. If their L.C.M. is 48, what is the sum of the numbers?Q6. HCF of

910,1225,1835 and 2130 is :

Q7. Four bells ring at intervals of 6, 8, 9 and 10 seconds. All the bells ring at the same time. After how many minutes will they ring together again?Q8. A trader has 3 types of oil 25 liters, 45 liters and 85 liters respectively, how many cans will be required to fill them in the same capacity?Q9. LCM of any two numbers is 60 and HCF of them is 5. Which of the following are those numbers ?Q10. Three numbers are in the ratio of 3 ∶ 4 ∶ 5 and their L.C.M. is 2400. Their H.C.F. is :

## More Number System Questions

Q1. Which of the following fraction can be written as a Non-terminating decimal?Q2. What is the largest prime number between 30 and 40?Q3. Using the divisibility test, find which of the following numbers is divisible by 11?Q4. Two alarm clocks ring their alarms at regular intervals of 60 seconds and 88 seconds. If they first beep together at 6 ∶ 00 pm, at what time will they beep together again for the next time?Q5. The digit in the unit's place in the square root of 16384 is ________.Q6. What is the number of prime numbers less than 20?Q7. How many pieces of length 125 cm can be cut from a rod 50 metre long?Q8. A tap drips at a rate of one drop per second. 600 drops make 100 ml. The number of litres wasted in 300 days isQ9. The least number which must be added to 1728 to make it a perfect square isQ10. The square root of 33 - 4

35 is

स्रोत : testbook.com

Do you want to see answer or more ?
Mohammed 1 month ago

Guys, does anyone know the answer?