The least number of 4 digits which is exactly divisible by 13 is
A
1052
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1039
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1032
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1001
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D1001 ⇒ Divisibility rule of 13 : Multiply last digit with 4 and add it to remaining number in given number, result must be divisible by 13.
⇒1052→105+(2×4)⇒113→11+(3×4)⇒23, 23 is not divisible by 13.
⇒1039→103+(9×4)⇒139→13+(9×4)⇒49, 49 is not divisible by 13.
⇒1032→103+(2×4)⇒111→11+(1×4)⇒15, 15 is not divisible by 13.
⇒1001→100+(1×4)⇒104→10+(4×4)⇒26, 26 is divisible by 13.