An ant walks in a straight line on a plane leaving behind a trace of its…

GATE · 2022 · XE · General AptitudeGATE · 2022 · XL · General AptitudeGATE · 2022 · CE · Set 2 · General Aptitude

An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east.

The ant first turns 72o anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting.

  1. moves forward for 10 cm.

  2. turns 144o clockwise.

Two perpendicular direction arrows cross: the upward arrow is labelled North and the rightward arrow East. No numerical values.

The pattern made by the trace left behind by the ant is

  1. A. A closed five-sided outline with vertices P at lower left, Q at lower right, R at upper right, S at top, T at upper left. The associated native caption reads PQ = QR = RS = ST = TP = 10 cm.

    PQ = QR = RS = ST = TP = 10 cm

  2. B. A closed six-sided outline with vertices P lower left, Q lower right, R right, S upper right, T upper left, U left. The associated native caption reads PQ = QR = RS = ST = TU = UP = 10 cm.

    PQ = QR = RS = ST = TU = UP = 10 cm

  3. C. A five-point intersecting star with outer vertices S at top, R right, Q lower right, P lower left, T left. Straight segments join S–Q–T–R–P–S. The associated native caption reads SQ = QT = TR = RP = PS = 10 cm.

    SQ = QT = TR = RP = PS = 10 cm

  4. D. A seven-point intersecting star with outer vertices T upper right, R right, S lower right, Q bottom, P lower left, W left, U upper left. Straight segments join S–W–R–P–T–Q–U–S. The associated native caption reads SW = WR = RP = PT = TQ = QU = US = 10 cm.

    SW = WR = RP = PT = TQ = QU = US = 10 cm

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