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If 314\(_{10}\) - 256\(_7\) = 340\(_x\), find x.

Mathematics
JAMB 2000

If 314\(_{10}\) - 256\(_7\) = 340\(_x\), find x.

  • A. 7
  • B. 8
  • C. 9
  • D. 10
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Correct Answer: Option A
Explanation

\(314_{10} - 256_7 = 340_x\)
Convert 2567 and 340x to base 10, such that:
314 - 139 = 3x2 + 4x
=> \(3x^2\) + 4x - 175 = 0 (quadratic)
Factorising, (x - 7) (3x + 25) = 0,
either x = 7 or x = -25/3 ( but x cannot be negative)

Therefore, x = 7.


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Join your school's WhatsApp group
Join your school's WhatsApp group
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts