Direction TestsMCQMTP May 20Question 2224 of 165
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Raju is facing East, he turns $100^\circ\displaystyle in the clockwise direction and $145^\circ in the anti-clock wise. Which direction is he facing now?

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option b — North-East

All Options:

  • AWest
  • BNorth-East
  • CNorth
  • DSouth-East

Detailed Solution & Explanation

Let's represent the directions using standard angles where East is 0∘\displaystyle 0^\circ, North is $90^\circ\displaystyle , West is &#36;180^\circ, and South is $270^\circ.Clockwiserotationcorrespondstosubtractingangles,andcounter−clockwise(anticlockwise)rotationcorrespondstoaddingangles.<br>1.∗∗InitialState∗∗:FacingEast,whichcorrespondstoanangleof\displaystyle . Clockwise rotation corresponds to subtracting angles, and counter-clockwise (anticlockwise) rotation corresponds to adding angles.<br>1. **Initial State**: Facing East, which corresponds to an angle of0^\circ\displaystyle .<br>2. **First Rotation**: Turns &#36;100^\circ in the clockwise direction:
Angle1=0∘−100∘=−100∘\displaystyle \displaystyle \text{Angle}_1 = 0^\circ - 100^\circ = -100^\circ
3. **Second Rotation**: Turns $145^\circintheanticlockwisedirection:<br>\displaystyle in the anticlockwise direction:<br>Angle2\displaystyle \text{Angle}_2 = -100^\circ + 145^\circ = 45^\circ\displaystyle <br><br>An angle of &#36;45^\circ lies exactly halfway between East (0∘\displaystyle 0^\circ) and North ($90^\circ$), which corresponds to the North-East direction.
Hence, **Option B** is the correct answer.

About This Chapter: Direction Tests

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Direction Sense Test

This chapter covers Direction Sense Test and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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