Question

9. Find the largest number of four-digits which when divided by 9, 12, 24
and 45 leaves a remainder 5 in each case.
10, Find the least number of five-digits which when divided by 12, 15, 18 a
27 leaves a remainder 3 in each case.
11. Four bells toll at intervals of 3, 7, 12 and 14 seconds respectively. All t
four bells begin to toll together. After how long will they toll together?
12. Church bells in 3 churches ring at intervals of 19, 12 and 15 minutes.
they ring together at 8:30 a.m. when will they ring together again?
Candid Interactive Mathematics - 5​

Answer 1

Answer:

10. the largest number which when divided by all the numbers leaving remainder three would be 360.

Step-by-step explanation:

10. lcm of all the numbers reduced by three

11. we have to take lcm of all the numbers

thus, lcm of 3 7 12 and 14 is 84

12. agin we hav to take the lcm.

thus, lcm of 19 12 and 15 is 114.

thus the bell would ring after 114 minutes i.e. 1 hour 54 minutes

the bell would ring together at 10:24 am