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The average of 8 numbers is 30. Out of those 8 numbers, the average of first 2 numbers is 26 and that…

The eight numbers total \(8\times30=240\), of which the first two give 52 and the next three give 84, leaving 104 for the last three. Writing the sixth as \(x\), the seventh…

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The average of 8 numbers is 30. Out of those 8 numbers, the average of first 2 numbers is 26 and that of next three numbers is 28. The sixth number is less than seventh (7th) by 3 and less than eighth by 5. Find the eighth number.

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Correct answer A

The eight numbers total 8×30=2408\times30=240, of which the first two give 52 and the next three give 84, leaving 104 for the last three. Writing the sixth as xx, the seventh is x+3x+3 and the eighth x+5x+5, so 3x+8=1043x+8=104 and x=32x=32. The eighth number is 32+5=3732+5=37.

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