Question
A number when divided by 35, leaves 18 as remainder. If
the same number is divided by 7, what would be the remainder?Solution
ATQ,
Let the number be (35x + 18)
We know that 35 is divisible by 7, so 35x will be divisible by 7 as well.
18 = 7 × 2 + 4
Remainder when 18 is divided by 7 = 4
So, required remainder = 4
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...1, 1, 3, 15, 105, 942
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1001, 934, 863, 790, 711, 630, 539
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1728, 121, 1000, 729, 512, 49
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9Â Â Â Â Â Â Â Â Â Â Â Â Â 17Â Â Â Â Â Â Â Â Â Â 53Â Â Â Â Â Â Â Â Â Â 103Â Â Â Â Â Â Â Â 310Â Â Â Â Â Â Â Â 619
...43, 42, 41, 39, 33, 10