Which of the following numbers is divisible by 11?
2728
Divisibility rule for 11: the difference between the sums of alternate digits must be 0 or a multiple of 11.
2143: (2 + 4) − (1 + 3) = 2, so not divisible.
2356: (2 + 5) − (3 + 6) = −2, so not divisible.
2880: (2 + 8) − (8 + 0) = 2, so not divisible.
2728: (2 + 2) − (7 + 8) = −11, a multiple of 11, so 2728 is divisible by 11 (2728 = 11 × 248).
Hence, the answer is 2728.
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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?
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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?
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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?
