Tiêu đề GATE-MT-2025-final-18-03-2025.pdf ✅

Metallurgical Engineering (MT) WhatsApp: +91 7309432902 Telegram Channel join link: https://t.me/Gatemetallurgy (D) Lair Solution A bird lives in a nest, and a bee lives in a hive. This is a direct analogy of an animal and its dwelling. Q.3 If Pex = Qe−x for all real values of x, which one of the following statements is true? (A) P = Q = 0 (B) P = Q = 1 (C) P = 1; Q = −1 (D) P = 0 Q Solution We’re given the equation: Pex = Qe−x for all real values of x
Metallurgical Engineering (MT) WhatsApp: +91 7309432902 Telegram Channel join link: https://t.me/Gatemetallurgy Q.4 The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube? Note: The figures shown are representative. (A) (B) (C) (D) Solution The figure shows different symbols on each face — a solid circle, a triangle, a solid triangle, and an open circle. When folded into a cube, the arrangement of the faces matches the cube shown in option (A), with the solid circle on top and the triangle on the front side. Q.5 Let p1 and p2 denote two arbitrary prime numbers. Which one of the following statements is correct for all values of p1 and p2? (A) p1 + p2 is not a prime number. (B) p1p2 is not a prime number.