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⟩ A number when divided by D leavs a remainder of 8 and when divided by 3D leavs a remainder of 21. What is the remainder left, when twice the number is divided by 3D?

Ans: 3

When the number is divided by 3D we got 21. Means the number itself is 21 and 3D >21.

when 21/D, remainder is 8.

So D = 21-8 =13.

now (21*2)/(13*3), Remainder is 3.

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