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 log343 7 is:
- (a)
\(1\over 3\)
- (b)
-3
- (c)
\(-\frac { 1 }{ 3 } \)
- (d)
3
The value of log5(\(1\over 125\)) is :
- (a)
3
- (b)
-3
- (c)
\(1\over 3\)
- (d)
\(-\frac { 1 }{ 3 } \)
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 log8 x=\(2\over 3\), then the value of x is:
- (a)
\(3\over 4\)
- (b)
\(4\over 3\)
- (c)
3
- (d)
4
If log1000x=\(-\frac { 1 }{ 4 } \), then x is equal to :
- (a)
\(1\over 10\)
- (b)
\(1\over 100\)
- (c)
\(1\over 1000\)
- (d)
\(1\over 10000\)
If logxy=100 and log2 x=10, then the value of y is:
- (a)
210
- (b)
2100
- (c)
21000
- (d)
210000
The value of log(-1/3) 81 is equal to:
- (a)
-27
- (b)
-4
- (c)
4
- (d)
27
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 (\(1 \over 3\) log10 125-2 log104+log10 32) is :
- (a)
0
- (b)
\( 4 \over 5\)
- (c)
1
- (d)
2
2 log10 5+log10 8-\(1 \over 2\)log10 4=?
- (a)
2
- (b)
4
- (c)
2+2 log102
- (d)
4-4 log102
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 log8 x +log8 \(\frac { 1 }{ 6 } =\frac { 1 }{ 3 } ,\) then the value of x is
- (a)
12
- (b)
16
- (c)
18
- (d)
24
The value of (log9 27 + log8 32) is:
- (a)
\(7 \over 2\)
- (b)
\(19 \over 6\)
- (c)
4
- (d)
7
If log10 5+log10( 5x+1)=log10 (x+5)+1, then x is equal to:
- (a)
1
- (b)
3
- (c)
5
- (d)
10
If log5(x2+x)-log5(x+1)=2, then the value of x is:
- (a)
5
- (b)
10
- (c)
25
- (d)
32
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 log 27=1.431, then the value of log 9 is :
- (a)
0.934
- (b)
0.945
- (c)
0.954
- (d)
0.958
If log10 2=0.3010, then log10 5 is equal to :
- (a)
0.3241
- (b)
0.6911
- (c)
0.6990
- (d)
0.7525
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 (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 450 is :
- (a)
30
- (b)
31
- (c)
100
- (d)
200
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)
\(-2x+{2 \over 3}y+{1\over3}z\)
The value of \(\left( \frac { 1 }{ { log }_{ 3 }60 } +\frac { 1 }{ { log }_{ 4 }60 } +\frac { 1 }{ { log }_{ 5 }60 } \right) \) is :
- (a)
0
- (b)
1
- (c)
5
- (d)
60
\(\left[ \log { \left( \frac { { a }^{ 2 } }{ bc } \right) } +\log { \left( \frac { { b }^{ 2 } }{ ac } \right) +\log { \left( \frac { c^{ 2 } }{ ab } \right) } } \right] \)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