Class 8

Math

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Playing With Numbers

If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

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Solve the cryptarithm: $4xABC=AB$ does not have any solution.

Given that the number $7713a8$ is divisible by 4, where a is a digit what are the possible values of ?

Express each of the following numbers as the sum of two odd primes: 36 (ii) 42 (iii) 84

Here are two different factor trees for 60. Write the missing numbers: (Figure) Figure (ii) Figure

Let $n$ be a natural number such that the division $n÷5$ leaves a remainder of 4, and the division $n÷2$ leaves a remainder of 1. What must be the units digit of $n$ ?

Find the LCM of 12 and 18

Find all the prime factors of 1729 and arrange them in ascending order. Now state the relation, if any; between two consecutive prime factors.

Determine the greatest 3-digit number exactly divisible by 8, 10 and 12. and 6 ,8 and 10