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
If the 8-digit number 888x53y4 is divisible by 72, then what is the value of (7x + 2y), for the maximum value of y?
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?
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?
