Question
If '48x2y' is a five-digit number which is divisible by 72,
then find the value of (x - y).Solution
ATQ,
Since, 72 = 9 × 8
So, the given number must be divisible by both 9 and 8.
Divisibility by 8:
Last three digits of the number (x2y) must be divisible by 8.
For x = 5 and y = 4, the number "524" is divisible by 8.
Divisibility by 9:
Sum of the digits (4 + 8 + 5 + 2 + 4 = 23) must be divisible by 9, which it is not.
Adjusting the values, for x = 3 and y = 6, the number "326" is divisible by both.
Hence, x = 3, y = 6
And, x - y = 3 - 6 = -3
‘479385A267’ is ten-digit number which is divisible by 9, what is the value of ‘A’?
The sum to n terms of the series 1 + 1 + 3 + 1 + 3 + 5 + 1 + 3 + 5 + 7 …………………… is
In an arithmetic progression, the 4th term is 23 and the 9th term is 48. What is the sum of the first 20 terms?
Find the sum of 12th terms of a geometric progression whose 1st term is 8 and common ratio is 2.
What is the mode of the given data?
5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7
In an AP, S₅ = 75 and S₇ = 119, where S_n is sum of first n terms. Find the 10th term.
The median of the following data will be ___
32,25,33,27,35,29,14,26 and 30.
If p = q + 2, where q is the product of six consecutive positive integers, then which of the following is/are true? Â
a. p is a perfect cube
Matthew sells Chocolates in the packs of 6 chocolates, 12 chocolates, 18 chocolates and 24 chocolates etc, but the rate is necessarily uniform. One day ...
Between 3 and 96, three numbers are inserted to form a GP. Find the second inserted term.
