Question 65

If the 6-digit numbers $$x35624$$ and $$1257y4$$ are divisible by 11 and 12, respectively, then what is the value of (5x - 2y ) ?

Solution

Divisibility rule of 11,

The sum of of alternative digit are equal so,

x + 5 + 2 = 3 + 6 + 4

x = 6

Divisibility rule of 12,

The number should be divisible by 3 and 4.

For the divisible by 4,

last 2 digits of the number should by divisible by 4 so possible value of y = 2

Value of (5x - 2y ) = $$5 \times 6 - 2 \times 2$$

= 30 - 4 = 26

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