Model 3 Simplification based on cube & cube root Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 4 EXERCISES
The following question based on simplification topic of quantitative aptitude
(a) 8
(b) 4
(c) 7
(d) 6
The correct answers to the above question in:
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
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Read more problems based on cubes and roots Based Quantitative Aptitude Questions and Answers
Question : 1
$√^3{1 - {127/343}}$ 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 : 2
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
Question : 3
$√^3{ √{0.000064}}$ 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 : 4
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 : 5
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 : 6
$(√^3{1000} + √^3{0.008} - √^3{0.125})$ is equal to
a) 9.9997
b) 9.7
c) 9.997
d) 9.97
Answer »Answer: (b)
$√^3{1000} + √^3{0.008} - √^3{0.125}$
= 10 + 0.2 - 0.5 = 9.7
GET simplification PRACTICE TEST 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
simplification Shortcuts and Techniques with Examples
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