If the number 413283P759387 is divisible by 13,then what is the value of P?
Answers
Answer: 9
Explanation:
put 0-9 in place of P and try to find out the answer
P=1.
4132831759387
is not divisible by 13.
P=2
4132832759387
is not divisible by 13.
So..on.
Now,Put p=8
We get 317910673799.
Answer:
The value of P is 8.
Step-by-step explanation:
The given number is 413283P759387.
Make the triplets from the right side and subtract alternatively and add alternatively from the right.
Triplets are 4, 132, 83P, 759, 387.
N = 387 - 759 + 83P - 132 + 4
N = 83P - 500
N must be divisible by 13.
Now, we will substitute the value of P from 1 to 9.
Case 1: When P = 1
N = 831 - 500
N = 331
331 is not divisible by 13.
Case 2: When P = 2
N = 832 - 500
N = 332
332 is not divisible by 13.
Case 3: When P = 3
N = 833 - 500
N = 333
333 is not divisible by 13.
Case 4: When P = 4
N = 834 - 500
N = 334
334 is not divisible by 13.
Case 5: When P = 5
N = 835 - 500
N = 335
335 is not divisible by 13.
Case 6: When P = 6
N = 836 - 500
N = 336
336 is not divisible by 13.
Case 7: When P = 7
N = 837 - 500
N = 337
337 is not divisible by 13.
Case 8: When P = 8
N = 838 - 500
N = 338
338 is divisible by 13.
Threrefore, the value of P is 8.