What least number must be subtracted from 1294 so that the remainder when divided by 9,11,13 will leave in each case the remainder 6?
A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B1
The LCM of 9,11 and 13 is 1287.
The number which will leave a remainder 6 is 1287+6=1293.
The difference between 1294 and 1293 is 1 which is the least number must be subtracted from 1294 so that the remainder when divided by 9,11,13 will leave in each case the remainder 6.