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 : 16 [SSC SAS 2010]
The least number, that must be added to 1720 so as to obtain a perfect cube, is
a) 13
b) 7
c) 11
d) 8
Answer »Answer: (d)
12 × 12 × 12 = 1728
∴ Required number
= 1728 - 1720 = 8
Question : 17
The value of $√{√^3{0.000729}}$ is
a) 0.09
b) 0.9
c) 0.03
d) 0.3
Answer »Answer: (d)
Expression
= $√{√^3{0.000729}}$
= $√{√^3{0.09 × 0.09 × 0.09}}$
= $√{0.09} = √{0.3 × 0.3}$ = 0.3
Question : 18 [SSC CGL Prelim 2003]
Sum of digits of the smallest number by which 1440 be multiplied so that it becomes a perfect cube, is
a) 8
b) 4
c) 7
d) 6
Answer »Answer: (d)
1440 = $2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 2^3 × 2^2 × 3^2 × 5$
To make 1440 a perfect cube, it must be mulitplied by 2 × 3 × 5 × 5 = 150.
∴The required sum = 1+5 + 0 = 6
Question : 19 [SSC CGL Tier-1 2011]
$√^3{1 - {127/343}}$ is equal to
a) 1 - $2/7$
b) $5/9$
c) $4/7$
d) 1 - $1/7$
Answer »Answer: (d)
Expression
= $√^3{1 - 127/343} = √^3{{343 - 127}/343}$
= $√^3{216/343} = √^3{(6)^3/(7)^3}$
= $6/7 = 1 - 1/7$
Question : 20 [SSC CPO S.I.2007]
The smallest positive integer n, for which 864n is a perfect cube, is :
a) 4
b) 1
c) 3
d) 2
Answer »Answer: (d)
2 | 864 |
2 | 432 |
2 | 216 |
2 | 108 |
2 | 54 |
3 | 27 |
3 | 9 |
3 |
For 864n to be a perfect cube, n = 2
IMPORTANT quantitative aptitude EXERCISES
Model 3 Simplification based on cube & cube root Shortcuts »
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