model 2 based on simplification Practice Questions Answers Test with Solutions & More Shortcuts
power, indices and surds PRACTICE TEST [5 - EXERCISES]
model 1 find largest and smallest value
model 2 based on simplification
model 3 based on positive and negative exponent
model 4 simplifying roots with values
model 5 simplifying roots of roots
Question : 26
The value of 2 + $√{0.09} - √^3{0.008}$ - 75% of 2.80 is :
a) - 1
b) 0
c) 0.001
d) 0.01
Answer »Answer: (b)
2 + $√{0.09} - √^3{0.008}$ - 75% of 2.80
Expression
= $2 + √{0.09} - √^3(0.2)^3 - 75% of 2.80$
= $2 + 0.3 - 02 -75/100 × 2.80$
= 2.3 - 0.2 - 2.1
= 2.3 - 2.3 = 0
Question : 27 [SSC CGL Prelim 1999]
By how much does $√{12} + √{18}$ exceed $√3 + √2$ ?
a) $ √3 + 2√2$
b) 2$(√3 - √2)$
c) $√2 - 4√3$
d) 2$(√3 + √2)$
Answer »Answer: (a)
$(√{12} + √{18}) - (√3 + √2)$
$(2√{3} - √{3}) + (3√2 - √2)$
$√{3} + 2√{2}$
Question : 28 [SSC CGL Prelim 2000]
$(0.01024)^{1/5}$ is equal to :
a) 0.4
b) 4.0
c) 0.00004
d) 0.04
Answer »Answer: (a)
$(0.01024)^{1/5}$
= $[(0.4)^5]^{1/5} = {0.4}^{5×1/5} = 0.4$
Question : 29
The value of $(√^3{3.5} + √^3{2.5})((√^3{3.5})^2 - √^3{8.75} + (√^3{2.5})^2)$ is :
a) 6
b) 5.375
c) 5
d) 1
Answer »Answer: (a)
$(√^3{3.5} + √^3{2.5})((√^3{3.5})^2 - √^3{8.75} + (√^3{2.5})^2)$
Let $√^3{3.5} = a$ and $√^3{2.5} = b$
Expression
= (a + b)$(a^2 - ab + b^2) = a^3 + b^3$
= $(√^3{3.5})^3 + (√^3{2.5})^3$
= 3.5 + 2.5 = 6
Question : 30
The value of $√^3{1372} × √^3{1458} ÷ √^3{343}$ is
a) 13
b) 18
c) 12
d) 15
Answer »Answer: (b)
$√^3{1372} × √^3{1458} ÷ √^3{343}$
Expression
= ${√^3{1372}×√^3{1458}}/√^3{343}$
= $√^3{{1372×1458}/343}$
= $√^3{5832}$
= $√^3{18×18×18} = 18$
IMPORTANT quantitative aptitude EXERCISES
model 2 based on simplification Shortcuts »
Click to Read...model 2 based on simplification Online Quiz
Click to Start..power, indices and surds Shortcuts and Techniques with Examples
-
model 1 find largest and smallest value
Defination & Shortcuts … -
model 2 based on simplification
Defination & Shortcuts … -
model 3 based on positive and negative exponent
Defination & Shortcuts … -
model 4 simplifying roots with values
Defination & Shortcuts … -
model 5 simplifying roots of roots
Defination & Shortcuts …
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