Question : Which of the following is TRUE? I. $\sqrt[3]{11}>\sqrt{7}>\sqrt[4]{45}$ II. $\sqrt{7}>\sqrt[3]{11}>\sqrt[4]{45}$ III. $\sqrt{7}>\sqrt[4]{45}>\sqrt[3]{11}$ IV. $\sqrt[4]{45}>\sqrt{7}>\sqrt[3]{11}$
Option 1: Only I
Option 2: Only II
Option 3: Only III
Option 4: Only IV
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: Only III
Solution : LCM of 3, 2, and 4 is 12. After taking the 12 th power, $\sqrt[3]{11}$ → $11^4=14641$ $\sqrt{7}→7^6→49^3=117649$ $\sqrt[4]{45}→45^3=91125$ Comparing the above three terms, we can conclude that $\sqrt{7}>\sqrt[4]{45}>\sqrt[3]{11}$ Hence, the correct answer is 'Only III'.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : Which of the following is TRUE? I. $\frac{1}{\sqrt[3]{12}}>\frac{1}{\sqrt[4]{29}}>\frac{1}{\sqrt5}$ II. $\frac{1}{\sqrt[4]{29}}>\frac{1}{\sqrt[3]{12}}>\frac{1}{\sqrt5}$ III. $\frac{1}{\sqrt5}>\frac{1}{\sqrt[3]{12}}>\frac{1}{\sqrt[4]{29}}$
Question : Which of the following statement(s) is/are true? I. $\sqrt{12}<\sqrt[3]{16}<\sqrt[4]{24}$ II. $\sqrt[3]{25}>\sqrt[4]{32}>\sqrt[6]{48}$ III. $\sqrt[4]{9}>\sqrt[3]{15}>\sqrt[6]{24}$
Question : Which of the following statement(s) is/are TRUE? I. $\sqrt{11}+\sqrt7<\sqrt{10}+\sqrt8$ II. $\sqrt{17}+\sqrt{11}>\sqrt{15}+\sqrt{13}$
Question : Which of the following statement(s) is/are TRUE? I. $33^{3}>3^{33}$ II. $333>(3^{3})^{3}$
Question : Direction: Which one of the given responses would be the meaningful order of the following?
(i) Pupa (ii) Larva (iii) Moth (iv) Eggs
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile