Model 1 Find Largest And Smallest Value Practice Questions Answers Test With Solutions & More Shortcuts
POWER, INDICES AND SURDS PRACTICE TEST [5 - EXERCISES]
Model 1 Find Largest And Smallest Value
Model 2 Based On Simplification
Model 3 Based On Positive And Negative Exponent
Model 4 Simplifying Roots With Values
Model 5 Simplifying Roots Of Roots
Question : 26 [SSC SO 2006]
The greatest one of $√4, √^3{4}, √^4{6}$ and $√^6{8}$ is
a) $√^4{6}$
b) $√3$
c) $√^3{4}$
d) $√^6{8}$
Answer »Answer: (b)
$√4, √^3{4}, √^4{6}$ and $√^6{8}$
$√3 =(3)^{1/2×6/6}=(3^6)^{1/12}=(729)^{1/12}$
$√^3{4}=(4)^{1/3×4/4}=(4^4)^{1/12}=(256)^{1/12}$
$√^4{6}=(6)^{1/4×3/3}=(6^3)^{1/12}=(216)^{1/12}$
$√^6{8}=(8)^{1/6×2/2}=(8^2)^{1/12}=(64)^{1/12}$
Now, it is clear that $√3$ is the greatest.
Question : 27
The greatest among the numbers $3√2, 3√7, 6√5, 2√20$ is
a) $6√5$
b) $3√2$
c) $3√7$
d) $2√20$
Answer »Answer: (a)
$3√2, 3√7, 6√5, 2√20$
$3√2=3×1.4=4.2$
$3√7=3×2.6=7.8$
$6√5=6×2.2=13.2$
$2√20=2×4.5=9$
Question : 28 [SSC CGL Prelim 2002]
Among $√2, √^3{3}, √^4{5}, √^3{2}$ which one is the greatest ?
a) $√^3{3}$
b) $ √^4{5}$
c) $√2$
d) $√^3{2}$
Answer »Answer: (b)
LCM of 2, 3, 4, 3 = 12
Thus $√2 = (2^6)^{1/12}=√^12{64}$
$√^3{3} = (3^4)^{1/12}=√^12{81}$
$√^4{5} = √^12{5^3}=√^12{125}$
$√^3{2}=√^12{2^4}=√^12{16}$
Obviously, $√^4{5}$ is the greatest = 0.05
Question : 29 [SSC CHSL 2013]
Which is greater $√^3{2}$ or $√3$ ?
a) $√3$
b) Cannot be compared
c) $√^3{2}$
d) Equal
Answer »Answer: (a)
$√^3{2}$ or $√3$
$√^3{2} =2^{1/3}=2^{2/6}=√^6{4}$
$√{3} =3^{1/2}=3^{3/6}=√^6{27}$
Question : 30 [SSC Investigator 2010]
The greatest among the numbers $√2, √^3{3}, √^4{5}, √^6{6}$ is
a) $√^6{6}$
b) $ √2$
c) $√^3{3}$
d) $√^4{5}$
Answer »Answer: (d)
$√2, √^3{3}, √^4{5}, √^6{6}$
LCM of orders 2,3,4, 6 = 12
$(2)^{1/2}=2^{6/12}=√^12{2^6}=√^12{64}$
$√^3{3}=√^12{3^4}=√^12{81}$
$√^4{5}=√^12{5^3}=√^12{125}$
$√^6{6}=√^12{6^2}=√^12{36}$
The greatest number = $√^4{5}$
IMPORTANT QUANTITATIVE APTITUDE EXERCISES
Model 1 Find Largest And Smallest Value Shortcuts »
Click to Read...Model 1 Find Largest And Smallest Value Online Quiz
Click to Start..POWER, INDICES AND SURDS SHORTCUTS AND TECHNIQUES WITH EXAMPLES
-
Model 1 Find Largest And Smallest Value
Defination & Shortcuts … -
Model 2 Based On Simplification
Defination & Shortcuts … -
Model 3 Based On Positive And Negative Exponent
Defination & Shortcuts … -
Model 4 Simplifying Roots With Values
Defination & Shortcuts … -
Model 5 Simplifying Roots Of Roots
Defination & Shortcuts …
QUANTITATIVE APTITUDE CATEGORIES
-
» Number System
-
» Average
-
» LCM & HCF
-
» Percentage
-
» Profit & Loss
-
» Time & Work
-
» Pipes & Cisterns
-
» Time & Distance
-
» Trains
-
» Compound Interest
-
» Simplification
-
» Discount
-
» Power
-
» Permutations & Combination
-
» Ratio & Proportion
-
» Advance Math
-
» Algebraic Expressions
-
» Trigonometric Ratios & Identities
-
» Simple Interest
-
» Alligation & Mixtures
-
» Boats & Streams
-
» Set Theory
-
» Linear Equations
-
» Quadratic Equations
-
» Mensuration
-
» Squareroots & Cuberoots
-
» Data Sufficiency
-
» Logarithm
-
» Probability
-
» Statistics
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
Alphabet and Number Arrangement Aptitude Model Test SSC
Alphabet and Number Arrangement objective Questions with detailed answers, PDF. Aptitude 50+ Practice MCQ exercises for SSC, all competitive, Bank Exams
Continue Reading »
SSC Direction and Distance Sense MCQ Practice Exercise
Top Direction and Distance Sense objective questions with answers, PDF for SSC. 100+ Aptitude practice exercises for all Bank, Govt, and Competitive Exams
Continue Reading »
100+ Blood Relation Aptitude Test Online, PDF for SSC
Top Blood Relation objective questions with answers, download PDF for SSC. 100+ Aptitude online practice exercises for all Bank, Govt, and Competitive Exams
Continue Reading »
Top 100+ English Jumbled Sentences MCQ with PDF for RBI
Very important Jumbled Sentences questions with answers PDF for RBI. 100+ General English practice exercises for all Bank, Govt, and Competitive Exams
Continue Reading »