CAT Logarithm Questions PDF [Most Important]
The logarithm is one of the most important topics in the CAT Quantitative Ability Section. You can check out these Logarithm questions in CAT Previous year papers. If you want to learn the basics, you can watch these videos on Logarithm basics. This article will look into some important Logarithm Questions for CAT. These are good sources for practice; If you want to practice these questions, you can download this CAT Logarithm Most Important Questions PDF below, which is completely Free.
Download Logarithm Questions for CAT
Question 1: For a real number a, if
a)
b)
c)
d)
1) Answer (C)
Solution:
We have :
We get
we get
we get
=
=
so we can say a is between 4 and 5 .
Question 2: If
2) Answer: 5
Solution:
We have :
we get
we get
we get
x-1 = 4^-1
x =
4x = 5
Question 3: If
3) Answer: 99
Solution:
We can re-write the equation as:
Squaring both sides:
Hence,
Question 4: The value of
a) 0
b) -1
c) 1
d) -0.5
4) Answer (C)
Solution:
On expanding the expression we get
Now applying the property of AM>=GM, we get that
Question 5: If
a)
b)
c)
d)
5) Answer (A)
Solution:
and finally
Substituting this in (1) we get
Now we have two equations in two variables (1) and (2) . On solving we get
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Question 6: If
6) Answer: 36
Solution:
Question 7: If Y is a negative number such that
a)
b)
c)
d)
7) Answer (B)
Solution:
Given,
=>
=>
since Y is a negative number, Y=
Question 8: Let x and y be positive real numbers such that
a) 150
b) 25
c) 100
d) 250
8) Answer (A)
Solution:
We have,
=>
=>
=> 2x=3y => x=
On substituting the value of x in 1, we get
=>y=10, x=15
Hence xy=150
Question 9: If p
a)
b)
c)
d)
9) Answer (A)
Solution:
Given that, p
p
p = s
Similarly, q = s
Similarly, r = s
By substituting value of p, q, and r from equation (1), (2) and (3)
Hence, option A is the correct answer.
Question 10:
a)
b) 10
c) 0
d) −4
10) Answer (A)
Solution:
We know that
Therefore, we can say that
We know that