model 1 find largest and smallest value Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 5 EXERCISES
The following question based on power, indices and surds topic of quantitative aptitude
(a) 0.04
(b) 0.16
(c) $√{0.16}$
(d) $(0.16)^2$
The correct answers to the above question in:
Answer: (c)
0.16, $√{0.16}, (0.16)^2$, 0.04
$√{0.16}=0.4$
$(0.16)^2=0.0256$
Clearly,
0.0256 < 0.04 < 0.16 < $√{0.16}$
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Read more largest and smallest value Based Quantitative Aptitude Questions and Answers
Question : 1
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 :
$4/9=0.44; √{9/49}=3/7=0.43;$
$(0.7)^2=0.49$
Question : 2
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 : 3
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
$√2 =(2)^{1/2} =(2)^{6/12}$
$= (2^6)^{1/12}=√^12{2^6}=√^12{64}$
$√^3{3}=√^12{3^4}=√^12{81}$
$√^4{4}=√^12{4^4}=√^12{64}$
$√^6{6}=√^12{6^2}=√^12{36}$
GET power, indices and surds PRACTICE TEST 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
power, indices and surds Shortcuts and Techniques with Examples
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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 …
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