Question
What is the highest possible sum of (p + q) if the
number '4p679q3' is divisible by 12?Solution
ATQ,
A number is divisible by 12 if it is divisible by both 3 and 4.
A number is divisible by 4 when the last two digits of the number are divisible by 4.
'q3' is divisible by 4 when 'q' = 0, 2, 4, 6, or 8.
Since we have to find the maximum value, so 'q' = 8.
A number is divisible by 3 when the sum of its digits is divisible by 3.
So, (4 + p + 6 + 7 + 9 + 8 + 3) = (37 + p) must be divisible by 3.
So, 'p' = 2, 5, or 8.
Since we have to find the maximum value, so 'p' = 8.
Therefore, required value = 8 + 8 = 16 .
Sum of squares of three consecutive numbers is 1454. Find the sum of first and third number.
A two-digit number has a sum of its digits equal to 11. Additionally, if 54 is subtracted from this number, the resulting number has its digits reversed...
Subtracting 30 from 14 times a number gives a result which is 50 more than 9 times the number. What is the number?
When a number is divided by 17, the remainder remains 6. Find the remainder obtained when the square of the same number is divided by 17.
There are balls of three colours: blue, green, and white. The number of green balls is 8 more than the average number of balls of each colour. The numbe...
Indicate the numbers that are divisible by both 2 and 3.
Find the range of the given data:
25, 43, 67, 91, 38, 57, 12, 74, 29
Find the sum of the first 25 natural numbers.
- If '48x2y' is a five-digit number which is divisible by 72, then find the value of (x - y).
Find the smallest 4-digit number which is exactly divisible by 6, 9 and 15.
