If the 8-digit number 79243p25 is divisible by 11, then the minimum value of p is:
7
For an 8-digit number to be divisible by 11, the difference between the sum of digits at odd positions and the sum at even positions (from the left) must be a multiple of 11.
Digits: 7,9,2,4,3,p,2,5. Odd positions (1st,3rd,5th,7th): \(7+2+3+2=14\). Even positions (2nd,4th,6th,8th): \(9+4+p+5=18+p\).
Setting the difference to a multiple of 11: \((18+p)-14 = 4+p = 11 \Rightarrow p=7\) (the only valid single-digit solution).
Hence, the minimum (and only) value of p is 7.
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Important Questions from Divisibility Rules
Find the least value of x for which 57x716 is divisible by 9.
Which of the following numbers is NOT divisible by 11?
If 321y72 is a multiple of 6, where y is a digit, what is the least value of y?
From the given numbers A, B, C and D, which number is NOT divisible by 11?
A = 712712
B = 177210
C = 64614
D = 756148
Which of the following numbers is divisible by 7 ?
