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Find out the wrong number in the given sequence of numbers 52, 51, 48, 43, 34, 27, 16

  • A.27
  • B.34
  • C.43
  • D.48

Answer: B

The numbers should fall by successive odd amounts.

\[ 52 \xrightarrow{-1} 51 \xrightarrow{-3} 48 \xrightarrow{-5} 43 \xrightarrow{-7} 36 \xrightarrow{-9} 27 \xrightarrow{-11} 16 \]

The fifth term should be \( 43 - 7 = 36 \), not 34.

So 34 is wrong. Equivalently the terms are \( 52 - n^{2} \) for \( n = 0,1,2,\ldots \): 52, 51, 48, 43, 36, 27, 16.

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