Correct Answer - Option 1 : 1435
Given
The least number which when divided by 8, 9, 15, 24, 32 and 36 leaves reminders 3, 4,10,19, 27 and 31
Concept used
LCM concept will be used
Calculation
Number = 8, 9, 15, 24, 32 and 36 and remainder 3, 4,10,19, 27 and 31
⇒ 8 - 3 = 5
⇒ 9 - 4 = 5
⇒ 15 - 10 = 5
⇒ 24 - 19 = 5
⇒ 32 - 27 = 5
⇒ 36 - 31 = 5
⇒ Common difference = 5
⇒ LCM of 8, 9, 15, 24, 32 and 36 = 1440
⇒ Number = LCM - Difference
⇒ 1440 - 5 = 1435