Quantitative Aptitude - Logarithms
Exam Duration: 60 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 log10(.0001) is:
- (a)
\(1\over 4\)
- (b)
\(-\frac { 1 }{ 4 } \)
- (c)
-4
- (d)
4
The logrithm of 0.0625 to the base 2 is:
- (a)
-4
- (b)
-2
- (c)
0.25
- (d)
0.5
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(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
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 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
(log5 5) (log4 9)(log32) is equal to :
- (a)
1
- (b)
\(3 \over 2\)
- (c)
2
- (d)
5
The value of (log3 4) (log4 5) (log5 6) (log6 7) (log7 8) (log8 9) is :
- (a)
2
- (b)
7
- (c)
8
- (d)
33
The value of 16log45 is:
- (a)
\(5 \over 64\)
- (b)
5
- (c)
16
- (d)
25
If log \(a \over b\)+log \(b \over a\)=log(a+b), then:
- (a)
a+b=1
- (b)
a-b=1
- (c)
a=b
- (d)
a2-b2=1
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 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 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 (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, 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)
\(-2x+{2 \over 3}y+{1\over3}z\)
If log4 x + log2 x = 6, then x is equal to
- (a)
2
- (b)
4
- (c)
8
- (d)
16