CUET-PG SERIES Economics
Logarithmic Differentiation
4 previous year questions.
Volume: 4 Ques
Yield: Medium
High-Yield Trend
4
2023 Chapter Questions 4 MCQs
01
PYQ 2023
medium
economics ID: cuet-pg-
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:
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:
1
Both (A) and (R) are true and (R) is the correct explanation of (A)
2
Both (A) and (R) are true but (R) is not the correct explanation of (A)
3
(A) is true but (R) is false
4
(A) is false but (R) is true
02
PYQ 2023
medium
economics ID: cuet-pg-
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 . This a equilibrium is stable for a > 0. Reason (R) : The equilibrium is obtained for x=b-ax=0 or . 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:
Assertion (A) : For a differential equation x + ax = b for a≠0 , F(x)=x=b-ax and the equilibrium is at . This a equilibrium is stable for a > 0. Reason (R) : The equilibrium is obtained for x=b-ax=0 or . 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:
1
Both (A) and (R) are true and (R) is the correct explanation of (A)
2
Both (A) and (R) are true but (R) is not the correct explanation of (A)
3
(A) is true but (R) is false
4
(A) is false but (R) is true
03
PYQ 2023
medium
economics ID: cuet-pg-
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) | (I) | ||
| (B) | (II) | ||
| (C) | (III) | ||
| (D) | (IV) | ||
1
(A)-(II); (B)-(III); (C)-(I); (D)-(IV)
2
(A)-(III); (B)-(IV); (C)-(II); (D)-(I)
3
(A)-(III); (B)-(I); (C)-(IV); (D)-(II)
4
(A)-(I); (B)-(IV); (C)-(II); (D)-(III)
04
PYQ 2023
medium
economics ID: cuet-pg-
The solution of the difference equation is
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3
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