TNPSC Quantitative Aptitude - Logarithms
Exam Duration: 45 Mins Total Questions : 30
The value of log2 16 is:
- (a)
\(1\over 8\)
- (b)
4
- (c)
8
- (d)
16
The value of \(log_{ \sqrt { 2 } }\quad 32\) is:
- (a)
\(5\over 2\)
- (b)
5
- (c)
10
- (d)
\(1\over 10\)
The value of log10(.0001) is:
- (a)
\(1\over 4\)
- (b)
\(-\frac { 1 }{ 4 } \)
- (c)
-4
- (d)
4
The value of log(.01)(1000) ia :
- (a)
\(1\over 3\)
- (b)
\(-\frac { 1 }{ 3 } \)
- (c)
\(3\over 2\)
- (d)
\(-\frac { 3 }{ 2 } \)
If logx(\(9\over 16\))=-\(1\over 2\), then x is equal to :
- (a)
\(-\frac { 3 }{ 4 } \)
- (b)
\(3\over 4\)
- (c)
\(81\over 256\)
- (d)
\(256\over 81\)
If logx(0.1) =\(-\frac { 1 }{ 3 } \),then the value of x is:
- (a)
10
- (b)
100
- (c)
1000
- (d)
\(1\over 1000\)
The value of log(-1/3) 81 is equal to:
- (a)
-27
- (b)
-4
- (c)
4
- (d)
27
\(log \sqrt8 \over log8\) is equal to:
- (a)
\(1\over \sqrt8\)
- (b)
\(1\over 4\)
- (c)
\(1\over 2\)
- (d)
\(1\over 8\)
Which of the following statements is not correct?
- (a)
log1010=1
- (b)
log(2+3) =log(2x3)
- (c)
log101=0
- (d)
log(1+2+3)=log 1+log 2+log3
If log2 [log3 (log2 x)]=1, thenx is equal to :
- (a)
0
- (b)
12
- (c)
128
- (d)
512
The value of log2 log2 log3 log3 273 is :
- (a)
0
- (b)
1
- (c)
2
- (d)
3
Log 360 is equal to:
- (a)
2 log 2+ 3 log 3
- (b)
3 log 2+2 log 3
- (c)
3 log 2 + 2 log 3 - log 5
- (d)
3 log 2 + 2 log 3 + log 5
If loga (ab) =x, then logb (ab) is :
- (a)
\(1 \over x\)
- (b)
\(x \over x+1\)
- (c)
\(x \over 1-x\)
- (d)
\(x \over x-1\)
If log4 x+log2 x =6, then x is equal to
- (a)
2
- (b)
4
- (c)
8
- (d)
16
(log5 5) (log4 9)(log32) is equal to :
- (a)
1
- (b)
\(3 \over 2\)
- (c)
2
- (d)
5
If log5(x2+x)-log5(x+1)=2, then the value of x is:
- (a)
5
- (b)
10
- (c)
25
- (d)
32
If log x+log y=log(x+y), then:
- (a)
x=y
- (b)
xy=1
- (c)
y=\(x-1 \over x\)
- (d)
y=\(x \over x-1\)
If log107 =a, then log10(\(1 \over 70\)) is equal to:
- (a)
-(1+a)
- (b)
(1+a)-1
- (c)
\(a \over 10\)
- (d)
\(1 \over 10a\)
If log10 2=0.3010, the value of log10 80 is:
- (a)
1.6020
- (b)
1.9030
- (c)
3.9030
- (d)
none of these
If log 3=0.477 and (1000)x=3, then x equals:
- (a)
0.0159
- (b)
0.0477
- (c)
0.159
- (d)
10
If log102=0.3010, the value of log10 25 is:
- (a)
0.6020
- (b)
1.2040
- (c)
1.3980
- (d)
1.5050
If log10 2=0.3010 and log10 3=0.4771, then the value of log10 1.5 is:
- (a)
0.1761
- (b)
0.7116
- (c)
0.7161
- (d)
0.7611
If log (0.57) = \(\overline { 1 } .756\), then the value of log 57 + log (0.57)3 + log \(\sqrt{0.57}\) is :
- (a)
0.902
- (b)
\(\overline { 2 } .146\)
- (c)
1.902
- (d)
\(\overline { 1 } .146\)
If log 2 = 0.30103, the number of digits in 264 is :
- (a)
18
- (b)
19
- (c)
20
- (d)
21
If log 2 = 0.30103, then the number of digits in 520 is :
- (a)
14
- (b)
16
- (c)
18
- (d)
25
If log 2 = x, log 3 = y and log 7 = z, then the value of log \((4.\sqrt [ 3 ]{ 63 } )\) is :
- (a)
\(2x+{2 \over 3}y-{1\over3}z\)
- (b)
\(2x+{2 \over 3}y+{1\over3}z\)
- (c)
\(2x-{2 \over 3}y+{1\over3}z\)
- (d)
\(-2x+{2 \over 3}y+{1\over3}z\)
If log4 x + log2 x = 6, then x is equal to
- (a)
2
- (b)
4
- (c)
8
- (d)
16
\(\left[ \log { \left( \frac { { a }^{ 2 } }{ bc } \right) } +\log { \left( \frac { { b }^{ 2 } }{ ac } \right) +\log { \left( \frac { c^{ 2 } }{ ab } \right) } } \right] \)is equal to :
- (a)
0
- (b)
1
- (c)
2
- (d)
abc
(logb a x logc b x loga c) is equal to :
- (a)
0
- (b)
1
- (c)
abc
- (d)
a + b+ c
\(\left[ \frac { 1 }{ \left( log_{ a } \ bc \right) +1 } +\frac { 1 }{ \left( log_{ b } \ ca \right) +1 } +\frac { 1 }{ \left( log_{ c } \ ab \right) +1 } \right] \) is equal to :
- (a)
1
- (b)
\(3 \over 2\)
- (c)
2
- (d)
3