model 3 based on positive and negative exponent Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 5 EXERCISES
The following question based on power, indices and surds topic of quantitative aptitude
(a) 175
(b) 735
(c) 1225
(d) 35
The correct answers to the above question in:
Answer:(b)
35 = 5 × 7
175 = 5 × 5 × 7
1225 = 5 × 5 × 7 × 7
735 = 5 × 7 × 7 × 3
Clearly, 735 is not a factor of $5^p7^q$
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Read more positive and negative exponent Based Quantitative Aptitude Questions and Answers
Question : 1
If $m^n$ = 169, what is the value of $(m+1)^(n - 1)$ ?
a) 13
b) 170
c) 196
d) 14
Answer »Answer:(d)
$m^n = 169 = 13^2$
m = 13, n = 2
$(m + 1)^{n - 1} = (13 + 1)^{2 - 1}$ = 14
Question : 2
If $27^{2x - 1} = (243)^3$ then the value of x is :
a) 6
b) 9
c) 7
d) 3
Answer »Answer:(d)
$27^{2x - 1} = (243)^3$
$(3^3)^{2x - 1} = (3^5)^3$
$(3)^{3{2x - 1}} = (3)^{5×3}$
3(2x - 1) = 5 × 3
or 2x - 1 = 5 ∴ x = 3
Question : 3
$(36)^{1/6}$ is equal to :
a) 6
b) $√^3{6}$
c) $√6$
d) 1
Answer »Answer:(b)
$(36)^{1/6}=(6^2)^{1/6}$
=$(6)^{2/6}=(6)^{1/3}=√^3{6}$
Question : 4
What will be the remainder when $252^126+244^152$ is divided by 10 ?
a) 6
b) 8
c) 0
d) 4
Answer »Answer:(c)
Unit's digit in the expansion of $(252)^126$
= $2^2$ = 4 (Remainder on dividing 126 by 4 = 2)
Unit's digit in the expansion of $(244)^152$ = 6
Unit's digit in the expansion of $252^126 + 244^152$ = 0
Required remainder = 0
Question : 5
If $3^{x+8} = 27^{2x+1}$, the value of x is :
a) 3
b) 1
c) - 2
d) 7
Answer »Answer:(b)
$3^{x+8} = 27^{2x+1}$
$3^{x+8} = (3)^{3(2x+1)}$
x + 8 = 6x + 3
5x = 5 ∴ x=1
Question : 6
If $√{3n}$ = 2187 then the value of n is :
a) 14
b) 16
c) 15
d) 13
Answer »Answer:(a)
$√{3^n}$ = 2187
$3^{n/2} = (3)^7$
$n/2$ = 7
n = 2 × 7 = 14
GET power, indices and surds PRACTICE TEST 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
power, indices and surds Shortcuts and Techniques with Examples
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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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