CUET PG 2023 — Reasoning PYQ

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Question

CUET PG 2023 — Reasoning PYQ

CUET PG | Reasoning | 2023

Two boys and two girls are playing cards and are seated at North, East, South and West of a table. No boy is facing East. Persons sitting opposite to each other are not of the same sex. One girl is facing South. Which directions are the boys facing?

Choose the correct answer:

Explanation

Opposite Sex Constraint: Agar ek person $X$ direction mein hai aur $Y$ uske opposite hai, toh:

$\text{Sex}(X) \neq \text{Sex}(Y)$

Iska matlab hai ki North-South pair aur East-West pair mein hamesha ek Boy aur ek Girl honge.
Girl's Position: Ek ladki South ki taraf face kar rahi hai.

Note: "Facing South" ka matlab hai ki woh North mein baithi hai.

$P_{North} = \text{Girl}_1$
Boy's Restriction: Koi bhi ladka East ki taraf face nahi kar raha hai.

Note: "Facing East" ka matlab hai West mein baithna. Toh, West mein ladka nahi ho sakta.

$P_{West} \neq \text{Boy}$

2. Seating Arrangement ki Calculation

Ab hum in equations ko combine karte hain:

North-South Pair:

Chunki North ( $P_N$ ) mein Ladki baithi hai, toh opposite rule ke hisaab se South ( $P_S$ ) mein ek Ladka hoga.

$P_N = \text{Girl}_1 \implies P_S = \text{Boy}_1$

(South mein baitha ladka North ki taraf face karega).
West-East Pair:

Condition ke mutabiq West ( $P_W$ ) mein ladka nahi baith sakta ( $P_W \neq \text{Boy}$ ). Iska matlab hai West mein doosri Ladki baithi hai.

$P_W = \text{Girl}_2$

Agar West mein Ladki hai, toh uske opposite East ( $P_E$ ) mein doosra Ladka hoga.

$P_W = \text{Girl}_2 \implies P_E = \text{Boy}_2$

3. Final Answer (Directions the Boys are Facing)

Humein nikaalna hai ki Ladke kis taraf face kar rahe hain (Facing Direction = Opposite of Sitting Position):

Boy 1: South ( $P_S$ ) mein baitha hai, toh uska face North ki taraf hai.
Boy 2: East ( $P_E$ ) mein baitha hai, toh uska face West ki taraf hai.

\text{Boys are facing: North and West}