CATAlgebra > Medium12\frac{1}{\sqrt{2}}2112\frac{1}{2}2111113\frac{1}{\sqrt{3}}31✅ Correct Option: 1Related questions:CAT 2017 Slot 1An elevator has a weight limit of 630630630 kg. It is carrying a group of people of whom the heaviest weighs 575757 kg and the lightest weighs 535353 kg. What is the maximum possible number of people in the group?CAT 2018 Slot 2Let a1,a2,…,a52a_{1}, a_{2}, \ldots, a_{52}a1,a2,…,a52 be positive integers such that a1<a2<…<a52a_{1}<a_{2}<\ldots<a_{52}a1<a2<…<a52. Suppose, their arithmetic mean is one less than the arithmetic mean of a2,a3a_{2}, a_{3}a2,a3, …,a52\ldots, a_{52}…,a52. If a52=100a_{52}=100a52=100, then the largest possible value of a1a_{1}a1 isCAT 2020 Slot 1The number of real-valued solutions of the equation 2x+2−x=2−(x−2)22^x + 2^{-x} = 2 - (x - 2)^22x+2−x=2−(x−2)2 is