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Q57·CSAT · Prelims 2024

Identifying the odd term out in a complex numerical series

NumericalNumber SeriesFactual singleMedium

Question

A person walks 100 m Westward, then turns left and walks 100 m. He then takes a 225° turn clockwise. In which direction is he walking now?

Options

a

South-West

b

South-East

c

North-West

d

North-East

Answer

Explanation

Trace the directional headings sequentially:

1Walking Westward \rightarrow Heading is 270^\circ.
2Takes a left turn \rightarrow New heading is South (180^\circ).

From a Southward heading (180^\circ), the person executes a 225^\circ clockwise rotation. Clockwise movements add directly to the angular heading: New Heading = 180^\circ + 225^\circ = 405^\circ.

Normalize the angle by subtracting a full circle (360^\circ): 405^\circ - 360^\circ = 45^\circ. An angle of 45^\circ on a standard standard compass grid points exactly to North-East.

Always map orientation turns using standard angular values (0^\circ to 360^\circ): addition handles clockwise rotations, while subtraction handles counter-clockwise moves.

Answer: (d).

Question details

Year

2024

Paper

CSAT

Question

Q57

Section

Numerical Ability

Sub-topic

Number Series

Type

Factual single

Difficulty

Medium

Source hint

Number series analysis

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