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Logarithmic Differentiation is an important topic in the Economics section in CUET PG exam. Practising this topic will increase your score overall and make your conceptual grip on CUET PG exam stronger.
This article gives you a full set of CUET PG PYQs for Logarithmic Differentiation with explanations for effective preparation. Practice of CUET PG Economics PYQs including Logarithmic Differentiation questions regularly will improve accuracy, speed, and confidence in the CUET PG 2026 exam.
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CUET PG PYQs for Logarithmic Differentiation with Solutions
1.
Match List-I with List-II :Choose the correct answer from the options given below:List-I
[Utility functions U(x1,x2)]List-II
(MRSx1,x2)(A) \(Cx^{a}_1x^{b}_2\) (I) \(\frac{-(x_2+1)}{(x_1+2)}\) (B) \((x_1+2)(x_2+1)\) (II) \(-(\frac{x_1}{x_2})^{a-1}\) (C) \(ax_1+b\sqrt{x_2}\) (III) \(\frac{-ax_2}{bx_1}\) (D) \((x^{a}_1+x^{a}_2)^b\) (IV) \(-\frac{2a\sqrt{x_2}}{b}\) - (A)-(II); (B)-(III); (C)-(I); (D)-(IV)
- (A)-(III); (B)-(IV); (C)-(II); (D)-(I)
- (A)-(III); (B)-(I); (C)-(IV); (D)-(II)
- (A)-(I); (B)-(IV); (C)-(II); (D)-(III)
2.
The solution of the difference equation \(x_t =\frac{1}{2} x_{t-1}+3\) is- \(x_t=(\frac{1}{2})^t(x_0-6)+6\)
- \(x_t=(\frac{1}{2})^t(x_0-3)-2\)
- \(x_t=(\frac{1}{2})^t(x_0-6)-6\)
- \(x_t=(\frac{1}{2})(x_0+6)+2\)
3.
The value of \(\frac{1}{log_2N}+\frac{1}{log_3N}+\frac{1}{log_4N}+....\frac{1}{log_15N}\) is- \(\frac{1}{log_15^2N}\)
- \(log_N(15!)^2\)
- \(\frac{1}{log_N}(15!)\)
- \(log_N(15)^2\)
4.
Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A) : For a differential equation x + ax = b for a≠0 , F(x)=x=b-ax and the equilibrium is at \(\text{x}=\frac{b}{a}\). This a equilibrium is stable for a > 0. Reason (R) : The equilibrium is obtained for x=b-ax=0 or \(\text{x}=\frac{b}{a}\). Stability is obtained when F'(x) is <0. Here F'(x) = -a and so the equilibrium is stable if a> 0.
In the light of the above statements, choose the correct answer from the options given below:- Both (A) and (R) are true and (R) is the correct explanation of (A)
- Both (A) and (R) are true but (R) is not the correct explanation of (A)
- (A) is true but (R) is false
- (A) is false but (R) is true
5.
Find the general solution of the differential equation: \(\frac{dx}{x}+\frac{dy}{y}=0\)- \(\frac{1}{x}+\frac{1}{y}=C_1x+C_2\)
- logx+logy=c1+c2
- xy=c
- x+y=c
6.
Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): The inverse of y = f(x) = ex exists for all x>0.
Reason (R) : f(x) is differentiable and monotonic for all x>0.
In the light of the above statements, choose the correct answer from the options given below:- Both (A) and (R) are true and (R) is the correct explanation of (A)
- Both (A) and (R) are true but (R) is not the correct explanation of (A)
- (A) is true but (R) is false
- (A) is false but (R) is true
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