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 : 31 [SSC CHSL 2013]
Out of the numbers 0.3, 0.03, 0.9, 0.09 the number that is nearest to the value of $√{0.9}$ is
a) 0.9
b) 0.3
c) 0.03
d) 0.09
Answer »Answer: (a)
Question : 32 [SSC CGL Tier-I 2014]
Arranging the following in descending order, we get $√^3{4}, √2, √^6{3}, √^4{5}$
a) $√2>√^6{3}>√^3{4}>√^4{5}$
b) $√^3{4}>√^4{5}>√2>√^6{3}$
c) $√^4{5}>√^3{4}>√^6{3}>√2$
d) $√^6{3}>√^4{5}>√^3{4}>√2$
Answer »Answer: (b)
$√^3{4}, √2, √^6{3}, √^4{5}$
LCM of indices = LCM of 3,6, 4 and 2 = 12
$√^3{4}=(4)^{1/3}=(4)^{1/12}=√^12{4^4}=√^12{256}$
$√2=(2)^{1/2}=√^12{2^6}=√^12{64}$
$√^6{3}=√^12{3^2}=√^12{9}$
$√^4{5}=√^12{5^3}=√^12{125}$
Clearly,$√^3{4}>√^4{5}>√2>√^6{3}$
Question : 33 [SSC CGL Prelim 2008]
Which of the following is the largest number ? $√2, √^3{3}, √^4{4}, √^6{6}$
a) $√^4{4}$
b) $√2$
c) $√^3{3}$
d) $√^6{6}$
Answer »Answer: (c)
$√2, √^3{3}, √^4{4}, √^6{6}$
LCM of 2, 3, 4 and 6 = 12
$√2 =(2)^{1/2} =(2)^{6/12}$
$= (2^6)^{1/12}=√^12{2^6}=√^12{64}$
$√^3{3}=√^12{3^4}=√^12{81}$
$√^4{4}=√^12{4^4}=√^12{64}$
$√^6{6}=√^12{6^2}=√^12{36}$
Question : 34 [SSC CGL Prelim 1999]
Which one of the following is the least? $√3, √^3{2}, √2$ and $√^3{4}$
a) $√3$
b) $√2$
c) $√^3{4}$
d) $√^3{2}$
Answer »Answer: (d)
$√3, √^3{2}, √2$ and $√^3{4}$
LCM of 2 and 3 = 6
$√3 = (3)^{1/2}=3^{3/6}=(3^3)^{1/6}=√^6{27}$
$√^3{2} = √^6{2^2} =√^6{4}$
$√{2} = √^6{2^3} =√^6{8}$
$√^3{4} = √^6{4^2} =√^6{16}$
Question : 35 [SSC CHSL 2014]
The greatest number among the following is $4/9, √ {9/49}, 0.47↖{..}, (0.7)^2$
a) $0.47↖{..}$
b) $4/9$
c) $√{9/49}$
d) $(0.7)^2$
Answer »Answer: (d)
$4/9, √ {9/49}, 0.47, (0.7)^2$
Decimal equivalents of fractions :
$4/9=0.44; √{9/49}=3/7=0.43;$
$(0.7)^2=0.49$
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
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
New 150+ Percentage Questions For IBPS Clerk Prelims 2024
Free Top Percentage Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz PDF & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Classification Reasoning MCQ For IBPS Clerk Prelims 2024
Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »
Ratio and Proportion Questions with Solutions, IBPS Clerk
New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024
Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »