Model 3 Simplification based on cube & cube root Practice Questions Answers Test with Solutions & More Shortcuts

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: (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: (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: (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: (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: (d)

$√ ^3{19/513} = √ ^3{1/27} = 1/3$

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