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CA Foundation · Quantitative Aptitude · Direction Tests

Karan walks 16 m north from point P to reach Q, then turns east and walks 12 m to reach R. If he walks straight back from R to P, what total distance does he cover in the whole journey?

The total distance covered is 48 m. The legs are 16 m north and 12 m east, and the straight return from R to P is the square root of 256 plus 144, which is 20 m. Adding 16, 12 and 20 gives 48 m.

  1. A28 m
  2. B48 mCorrect
  3. C40 m
  4. D20 m

Explanation

PQ = 16 m and QR = 12 m. The return leg RP is the hypotenuse = sqrt(16^2 + 12^2) = sqrt(400) = 20 m. Total distance = 16 + 12 + 20 = 48 m. Option 28 m ignores the return leg, and 20 m gives only displacement leg RP.

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