The number 3798125P369 is divisible by 7. What is the value of the digit P?
6
Shortcut Trick
⇒ 369, 25P, 981, 037
STEP - II: Now Adding and subtracting the numbers formed alternatively
⇒ 369 - 25P + 981 - 37
⇒ 369 - 250 - P + 981 - 37
⇒ 1063 - p
STEP - III: The result obtained in STEP - II should be divisible by 7
⇒ 1063 - P = 151 \(\times\) 7 + 6 - P
For 3798125P369 to be divisible by 7,
6 - P = 0
⇒ P = 6
Hence, option 2 is correct.
Important Questions from Divisibility and Remainder
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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:
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