Model 3 Simplification based on cube & cube root Practice Questions Answers Test with Solutions & More Shortcuts
simplification PRACTICE TEST [4 - EXERCISES]
Model 1 Simplification using VBODMAS
Model 2 Simplification based on square & square root
Model 3 Simplification based on cube & cube root
Model 4 Simplification with continued fraction
Question : 21 [SSC CISF ASI 2010]
$√^3{ √{0.000064}}$ is equal to
a) 0.2
b) 0.0002
c) 0.02
d) 0.002
Answer »Answer: (a)
$√^3{ √{0.000064}} = √^3{0.008}$
=$√^3{0.2 × 0.2 × 0.2}$ = 0.2
Question : 22
$√^3{15612 + √{154 + √{225}}}$ is equal to
a) 125
b) 15
c) 75
d) 25
Answer »Answer: (d)
Expression
= $√^3{15612 + √{154 + √{225}}}$
= $√^3{15612 + √{154 + 15}}$
= $√^3{15612 + 13}$
= $√^3{15612}$ = 25
Question : 23 [SSC CPO S.I.2003]
The value of $√^3{7/875}$ is equal to
a) $1/5$
b) $1/3$
c) $1/4$
d) $1/15$
Answer »Answer: (a)
$√^3{7/875} = (7/875)^{1/3}$
= $(1/125)^{1/3} = 1/5$
Question : 24 [SSC CGL Tier-I 2010]
By what least number should 675 be multiplied so as to obtain a perfect cube number ?
a) 40
b) 3
c) 24
d) 5
Answer »Answer: (d)
675 = 5 × 5 × 3 × 3 × 3
∴ Required number = 5
Question : 25 [SSC CPO S.I.2004]
$√^3{19/513}$ is equal to
a) $1/√3$
b) $1/9$
c) $1/√27$
d) $1/3$
Answer »Answer: (d)
$√ ^3{19/513} = √ ^3{1/27} = 1/3$
IMPORTANT quantitative aptitude EXERCISES
Model 3 Simplification based on cube & cube root Shortcuts »
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