The 7-digit number 36A836B is divisible by 3. What is the minimum value of (A + B)?
1
A number is divisible by 3 when the sum of its digits is divisible by 3.
Digit sum of 36A836B = 3 + 6 + A + 8 + 3 + 6 + B = 26 + (A + B). So (A + B) must satisfy (26 + A + B) ≡ 0 (mod 3), i.e. A + B ≡ 1 (mod 3).
The smallest non-negative value that is ≡ 1 (mod 3) is 1 (for example A = 0, B = 1).
Hence, the answer is 1.
Similar Questions
What is the least value that must be assigned to A so that the 8-digit number 796A6351 is divisible by 3?
The 7-digit number 86A238B is divisible by 3. What is the minimum value of (A + B)?
What is the value that must be assigned to A so that the 8-digit number 541A4888 is divisible by 9?
Find the smallest digit value for A such that 58A4 is divisible by 4.
If a 7-digit number 91056A4 is completely divisible by 3, what is the least value of A?
What is the least value that must be assigned to A so that the 8-digit number 910A3076 is divisible by 6?
Find the least value of (3K2 − 2) for which six digits number 7K8508 is divisible by 6.
What is the least value that must be assigned to A so that the number 455A1280 is divisible by 30?
The 7-digit number 92A224B is divisible by 3. What is the minimum value of (A + B)?
If a 7-digit number 48085A7 is completely divisible by 3, what is the least value of A?
Important Questions from Divisibility and Remainder
If all positive divisors of 132 are arranged in descending order, then what digit will be at unit place of first divisor ?
If 3 2019 is divided by 10, then what is the remainder?
The number 3798125P369 is divisible by 7. What is the value of the digit P?
Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.
Which of the following is/are correct?
1. S is always divisible by 74.
2. S is always divisible by 9.
select the correct answer using the code given below:
How many 3-digit natural numbers (without repetition of digits) are there such that each digit is odd and the number is divisible by 5?
