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In a row of boys, Srinath is 7th from the left and Venut is 12th from the right. If they interchange their positions, Srinath becomes 22nd from the left. How many boys are there in the row ?

  • A.33
  • B.43
  • C.37
  • D.51

Answer: A

There are 33 boys in the row.

After they interchange, Srinath stands where Venut stood, and that place is 22nd from the left. Venut's old place was also 12th from the right. So one position is 22nd from the left and 12th from the right:

\[ 22 + 12 - 1 = 33 \]

The 1 is subtracted because that boy's place is counted from both ends. Srinath's original place, 7th from the left, is not needed for the count. Adding 22 and 12 without subtracting gives 34, which is not an option; 43, 37 and 51 match no correct working.

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