MTS 21 25-07-2022 Shift 3


Question 1

six bells commence tolling together at 7:59 am. They toll at intervals of 3,6,9,12 and 15 seconds respectively. How many time will they toll together till 8:16 am? (excluding the toll at 7:59 am)

छह घंटियां सुबह 7:59 बजे एक साथ बजने लगती हैं। वे क्रमशः 3,6,9,12 और 15 सेकंड के अंतराल पर बजती हैं। वे सुबह 8:16 बजे तक एक साथ कितनी बार बजेंगी? (सुबह 7:59 बजे बजने को छोड़कर)


Options

A

B

C

D


Solution:

Correct Answer:

B


Seconds between 7:59am and 8:16am = 17×\times60=1020

L.C.M. of 3,6,9,12 and 15 = 180

They will toll together = 1020180\frac{1020}{180}=5.67~5

In this example, we cannot round off to 6 as the bell have rang only 5 times, and they covered 67% of time for the next ring but couldn't complete it.

7:59am और 8:16am के बीच सेकंड  = 17×\times60=1020

लघुतम समापवर्त्य ( 3,6,9,12 और 15 ) = 180

एक साथ बजेगी  = 1020180\frac{1020}{180}=5.67~5

 

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