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IBPS PO Mains 30 Nov 2024 Shift 2 Paper

Question Numbers: 4-5

Direction: In the following questions, symbols are used with the following meaning as illustrated below. Study the following information and answer the given questions.

P @ Q → P is either 6 meters north of Q or 6 meters south of Q.

P % Q → P is either 8 meters east of Q or 8 meters west of Q.

P & Q → Q is 4 meters east of P.

P # Q → P is 3 meters north of Q.

P * Q → P is south west Q.

P Q → P is north east of Q.

Note:

1. Point A,B, and F form a vertical straight line.

2. No two points overlap each other.

Given Expression: A@B, B&C, C%D, D#E, E&F, F%R and RA.

Question : 4 of 155

Marks: +1, -0

Which of the following statements are true?

Statement I: If Z%D, then Z is to the west of B.

Statement II: The distance between E and F is less than the distance between E and R.

Statement III: More than two given points are to the north west of F.

Only Statement I
Both Statements II and III
All three statements
Both Statements I and II
Only Statement III

Validate

Solution:

Concept:

This is a direction and distance puzzle using coded relationships between points.

Explanation:

Decode the symbols: @ means 6 m north or south, & means 4 m east, % means 8 m east or west, # means 3 m north, and the given condition makes R north-east of A.

Place B at the origin. Then C is 4 m east of B, so

C = (4,0)

Because no two points can overlap and R must be north-east of A, the valid arrangement is

D = (-4,0)

E = (-4,-3)

F = (0,-3)

R = (8,-3)

, and

A = (0,-6)

Now check each statement.

Statement I:

Z\%D

means Z is 8 m east or west of D. Placing Z 8 m east of D would put Z at

(4,0)

, which is the same as C, so Z must be 8 m west of D, at

(-12,0)

, which is west of B. Hence Statement I is true.

Statement II: Distance

EF = 4

m and distance

ER = 12

m, so

4 < 12

. Hence Statement II is true.

Statement III: From F, the only point to the north-west is D. Thus only one point lies north-west of F, not more than two. Hence Statement III is false.

So both Statements I and II are true.

Answer:

D. Both Statements I and II

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