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) 0.2
(b) 0.0002
(c) 0.02
(d) 0.002
The correct answers to the above question in:
Answer: (a)
$√^3{ √{0.000064}} = √^3{0.008}$
=$√^3{0.2 × 0.2 × 0.2}$ = 0.2
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Read more problems based on cubes and roots Based Quantitative Aptitude Questions and Answers
Question : 1
$√^3{15612 + √{154 + √{225}}}$ 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 : 2
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 : 3
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 : 4
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 : 5
$√^3{1 - {127/343}}$ 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 : 6
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
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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