Let there be two relations 𝑋 and π‘Œ as shown. 𝑋 has three columns 𝑃, 𝑄 and…

GATE Β· 2026 Β· DA Β· Data Science & AI

Let there be two relations 𝑋 and π‘Œ as shown. 𝑋 has three columns 𝑃, 𝑄 and 𝑅. π‘Œ has two columns 𝑃 and 𝑆.

X: P

Q

R

P1

Q1

R1

P2

Q2

R2

P3

Q3

R2

Y: P

S

P1

10

P1

15

P2

20

P3

1

Consider that the following tuple relational calculus expression is evaluated.

{𝑑|𝑑 ∈ 𝑋 β‹€ βˆƒπ‘§ ∈ 𝑋(𝑑[𝑃] = 𝑧[𝑃]) β‹€ βˆƒπ‘š ∈ π‘Œ (π‘š[𝑃] = 𝑑[𝑃] β‹€ π‘š[𝑆] > 1)}

The number of tuples that will be returned is __________ . (Answer in integer)

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