(44-46) Read the information given below to answer these questions A, B, C, D, E, F, G H and I are nine houses C is 2 km east of B. A is 1 km north of B and H is 2 km south of A. G is 1 km west of H while D is 3 km east of G and F is 2 km north of G. I is situated just in the middle of B and C while E just in middle of H and D. Distance between E and I is .

Option c: 1 km. Solution: Let B be at the origin (0,0) : - C is 2 km East C = (2, 0) . - A is 1 km North A = (0, 1) . - H is 2 km South of A H = (0, -1) . - G is 1 km West of H G = (-1, -1) . - D is 3 km East of G D = (2, -1) . - F is 2 km North of G F = (-1, 1) . - I is the midpoint of B (0,0) and C (2,0) I = (1, 0) . - E is the midpoint of H (0,-1) and D (2,-1) E = (1, -1) . The distance between E (1, -1) and I (1, 0) is exactly 1 km. Hence, Option C is the correct answer.

(44-46) Read the information given below to answer these questions A, B, C, D, E, F, G H and I are nine houses C is $2$ km east of B. A is $1$ km north of B and H is $2$ km south of A. G is $1$ km west of H while D is $3$ km east of G and F is $2$ km north of G. I is situated just in the middle of B and C while E just in middle of H and D. Distance between E and I is _______.

The correct answer is Option c: $1$ km. Let B be at the origin $(0,0)$: - C is 2 km East $\implies C = (2, 0)$. - A is 1 km North $\implies A = (0, 1)$. - H is 2 km South of A $\implies H = (0, -1)$. - G is 1 km West of H $\implies G = (-1, -1)$. - D is 3 km East of G $\implies D = (2, -1)$. - F is 2 km North of G $\implies F = (-1, 1)$. - I is the midpoint of B $(0,0)$ and C $(2,0)$ $\implies I = (1, 0)$. - E is the midpoint of H $(0,-1)$ and D $(2,-1)$ $\implies E = (1, -1)$. The distance between E $(1, -1)$ and I $(1, 0)$ is exactly 1 km. Hence, **Option C** is the correct answer.

Direction TestsMCQMTP Sep 24 Series IIQuestion 2329 of 165

All Questions

(44-46) Read the information given below to answer these questions A, B, C, D, E, F, G H and I are nine houses C is $\displaystyle 2$ km east of B. A is $\displaystyle 1$ km north of B and H is $\displaystyle 2$ km south of A. G is $\displaystyle 1$ km west of H while D is $\displaystyle 3$ km east of G and F is $\displaystyle 2$ km north of G. I is situated just in the middle of B and C while E just in middle of H and D. Distance between E and I is _______.

Options

\displaystyle 4

\displaystyle 2

\displaystyle 1

\displaystyle 3

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — $\displaystyle 1$ km

All Options:

A $\displaystyle 4$ km
B $\displaystyle 2$ km
C $\displaystyle 1$ km
D $\displaystyle 3$ km

Detailed Solution & Explanation

Let B be at the origin

\displaystyle (0,0)

:
- C is 2 km East

\displaystyle \implies C = (2, 0)

.
- A is 1 km North

\displaystyle \implies A = (0, 1)

.
- H is 2 km South of A

\displaystyle \implies H = (0, -1)

.
- G is 1 km West of H

\displaystyle \implies G = (-1, -1)

.
- D is 3 km East of G

\displaystyle \implies D = (2, -1)

.
- F is 2 km North of G

\displaystyle \implies F = (-1, 1)

.
- I is the midpoint of B

\displaystyle (0,0)

and C

\displaystyle (2,0)

\displaystyle \implies I = (1, 0)

.
- E is the midpoint of H

\displaystyle (0,-1)

and D

\displaystyle (2,-1)

\displaystyle \implies E = (1, -1)

.
The distance between E

\displaystyle (1, -1)

and I

\displaystyle (1, 0)

is exactly 1 km.
Hence, **Option C** 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.

Related Comparison Tables

Promissory Note vs Bill of Exchange: Negotiable Instruments Mean vs Median vs Mode: Measures of Central Tendency

Ready to Master Direction Tests?

Practice all 165 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free