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 log5(\(1\over 125\)) is :
- (a)
3
- (b)
-3
- (c)
\(1\over 3\)
- (d)
\(-\frac { 1 }{ 3 } \)
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)
\(-\frac { 3 }{ 2 } \)
The logrithm of 0.0625 to the base 2 is:
- (a)
-4
- (b)
-2
- (c)
0.25
- (d)
0.5
If log3 x=-2, then x is equal to:
- (a)
-9
- (b)
-6
- (c)
-8
- (d)
\(1\over 9\)
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 logx 4=\(1\over 4\), then x is equal to:
- (a)
16
- (b)
64
- (c)
128
- (d)
256
If logx(0.1) =\(-\frac { 1 }{ 3 } \),then the value of x is:
- (a)
10
- (b)
100
- (c)
1000
- (d)
\(1\over 1000\)
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
The value of log\(2\sqrt3\)(1728) is:
- (a)
3
- (b)
5
- (c)
6
- (d)
9
\(log \sqrt8 \over log8\) is equal to:
- (a)
\(1\over \sqrt8\)
- (b)
\(1\over 4\)
- (c)
\(1\over 2\)
- (d)
\(1\over 8\)
If ax=by, then:
- (a)
log \(a \over b\)=\(x \over y\)
- (b)
\(\frac { log\quad a }{ log\quad b } =\frac { x }{ y } \)
- (c)
\(\frac { log\quad a }{ log\quad b } =\frac { y }{ x } \)
- (d)
none of these
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 log8 x +log8 \(\frac { 1 }{ 6 } =\frac { 1 }{ 3 } ,\) then the value of x is
- (a)
12
- (b)
16
- (c)
18
- (d)
24
If log4 x+log2 x =6, then x is equal to
- (a)
2
- (b)
4
- (c)
8
- (d)
16
The value of (log9 27 + log8 32) is:
- (a)
\(7 \over 2\)
- (b)
\(19 \over 6\)
- (c)
4
- (d)
7
(log5 5) (log4 9)(log32) is equal to :
- (a)
1
- (b)
\(3 \over 2\)
- (c)
2
- (d)
5
The value of 16log45 is:
- (a)
\(5 \over 64\)
- (b)
5
- (c)
16
- (d)
25
If a=bx, b=cy and c=az, then the value of xyz is equal to
- (a)
-1
- (b)
0
- (c)
1
- (d)
abc
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 log2 10 is equal to:
- (a)
\(699 \over 301\)
- (b)
\(1000 \over 301\)
- (c)
0.3010
- (d)
0.6990
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 log10 2=0.3010 and log10 7=0.8451, then the value of log10 2.8 is:
- (a)
0.4471
- (b)
1.4471
- (c)
2.4471
- (d)
none of these
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, the number of digits in 450 is :
- (a)
30
- (b)
31
- (c)
100
- (d)
200
(log5 3) x (log3 625) equals :
- (a)
1
- (b)
2
- (c)
3
- (d)
4
If log12 27 = a, then log6 16 is :
- (a)
\(3-\alpha \over 4(3+\alpha)\)
- (b)
\(3+\alpha \over 4(3-\alpha)\)
- (c)
\(4(3+\alpha) \over (3-\alpha)\)
- (d)
\(4(3-\alpha) \over (3+\alpha)\)