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) 6.116
(b) 0.168
(c) 6.216
(d) 62.16
The correct answers to the above question in:
Answer: (c)
Here, $√^3{175616}$ = 56
$√^3{175.616}$ = 5.6
$√^3{0.175616}$ = 0.56
and $√^3{0.000175616}$ = 0.056
Required sum
= 5.6 + 0.56 + 0.056 = 6.216
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Read more problems based on cubes and roots Based Quantitative Aptitude Questions and Answers
Question : 1
$(√^3{1000} + √^3{0.008} - √^3{0.125})$ 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
Question : 2
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 : 3
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 : 4
$√^3{0.000125}$ is equal to
a) 0.005
b) 0.5
c) 0.05
d) 0.15
Answer »Answer: (c)
$√^3{0.000125} = √^3{0.05 × 0.05 × 0.05}$
= 0.05
Question : 5
The square of a natural number subtracted from its cube is 48. The number is :
a) 4
b) 8
c) 5
d) 6
Answer »Answer: (a)
Let number be x
According to question,
$x^3 - x^2$ = 48 ⇒ ∴ x = 4
Question : 6
The sum of the cubes of the numbers 22, –15 and –7 is equal to
a) 0
b) 6930
c) 3
d) 9630
Answer »Answer: (b)
Here, 22 - 15 - 7 = 0
We know that
$a^3 + b^3 + c^3$ = 3abc,
if a + b + c = 0
$(22)^3 + (–15)^3 + (–7)^3$
= 3 × 22 × (–15) (–7) = 6930
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
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