Given, 1 ≤ 𝑝 ≤ 2; 2 ≤ 𝑞 ≤ 3 Quantity 1: 𝑞2 + 2𝑝𝑞 Quantity 2: 2{𝑝𝑞(𝑝2 + 2𝑝𝑞) + 1}

Explanation

Min. and max. value of p is 1 and 2 respectively. And min. and max. value of q is 2 and 3 respectively. Quantity 1: Min value = 22 + 2 × 1 × 2 = 8 Max value = 32 + 2 × 2 × 3 = 21 So, quantity 1: lies between 8 and 21. Quantity 2: Min value = 2{1 × 2(12 + 2 × 1 × 2) + 1} = 22 Max value = 2{2 × 3(22 + 2 × 2 × 3) + 1} = 194 So, quantity 2: lies between 22 and 194. So, quantity 2 > quantity 1 36 Adda247 | No. 1 APP for Banking & SSC Preparation Website: bankersadda.com | sscadda.com | adda247.com | Email: blogger@adda247.com