Question

Four alarm clocks are set in such a way that they beep at a gap of ev 21,36,45 and 52
. At what time will these clocks beep together?
O 11:52 a.m.
0 2:00 p.m
O 3-25 p.m
O 3:00 pm
7​

Answer 1

Given : Four alarm clocks are set in such a way that they beep at a gap of  21,36,45 and 52 seconds

clock beeped together at 10 : 30  AM

To Find : At what time will these clocks beep together

Solution:

21 = 2 * 7

36 = 2 * 2 * 3 * 3

45 = 3 * 3 * 5

52 = 2 * 2 * 13

LCM = 2 * 2 * 3 * 3 * 5 * 7 *  13  

= 16,380  seconds

= 4 hrs 55 mins

Hence clocks will beep  every 4 hrs 55 mins together

clock beeped together at 10 : 30  AM

=> 10 : 30 + 4 : 55

= 3 : 25 pm

Learn More:

https://brainly.in/question/9329941?tbs_match=2

3 alarm make beep after 18 24 36 min they beeped together at 5.30 ...

Find LCM and HCF of the following pairs of integers and verify that ...

brainly.in/question/17387230

Can 12 and 98 be HCF and LCM of two numbers​ - Brainly.in

brainly.in/question/17564109