Playing with Nu...

If a four digit number abcd is expressed as abcd = X + [(b + d) − (a + c)], then by which number is X always divisible?

If a five digit number 879xy is divisible by 45, what are the possible values of the expression x² − 2y² ?

If a five digit number x313y is a multiple of 55, then what is the value of the expression (x² + y² + x)?

A four digit number 103x has 3 as one of its factors. How many possible values can the digit x have?

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What is the product of x and y?

If a five digit number 2xy02 is divisible by 33, what is the value of the expression xy − x − y? [Assume x < y]

If x and y are the smallest digits in the numbers 311x2 and 42y5 such that they are divisible by 3, then what is the difference between x and y?

If the five digit number 123p2 is divisible by 18, then what is the value of digit p?

What is the general form of the four digit number abcd?

If abc is a three digit number, then (abc + bca + cab) can be written as

If A = 10000 × w + 1000 × x + 100 × y + z, then what is the value of A?

The difference between a three digit number abc and the number formed by reversing its digits can be written as

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What is the digit at the units place of the number?