CUET PG MCA Progressions Previous Year Questions (PYQs) – Page 1 of 2
Study Stuff for MCA Examinations
| List I | List II | ||
|---|---|---|---|
| A. | Dog : Rabies :: Mosquito : | I. | Bacteria |
| B. | Amnesia : Memory :: Paralysis : | II. | Liver |
| C. | Meningitis : Brain :: Cirrhosis : | III. | Movement |
| D. | Influenza : Virus :: Typhoid : | IV. | Malaria |
| LIST 1 | LIST 2 |
| A. If 4th term of a G.P. is square of its second term, and its first term is 3, then common ratio is _______ | I. 5 |
| B. The first term of an AP is 5 and the last term is 45 and the sum of the terms is 400. The number of terms is_____ | II. -5/2 |
| C. The sum of three numbers which are in AP is 27 and sum of their squares is 293. Then the common difference is ______ | III. 16 |
| D. The fourth and 54th terms of an AP are, respectively, 64 and -61. The common difference is ______ | IV. 3 |
Solution
Solution
Solution
Solution
We are given:
\(a^{\tfrac{1}{x}} = b^{\tfrac{1}{y}} = c^{\tfrac{1}{z}} = k\)
\(\Rightarrow a = k^x,\; b = k^y,\; c = k^z\)
Since \(a, b, c\) are in G.P.:
\(b^2 = ac\)
\(\Rightarrow (k^y)^2 = (k^x)(k^z)\)
\(\Rightarrow k^{2y} = k^{x+z}\)
\(\Rightarrow 2y = x+z\)
This implies \(y\) is the arithmetic mean of \(x\) and \(z\).
x, y, z are in Arithmetic Progression.
Correct Answer: (1) Arithmetic Progression
| Column A | Column B |
|---|---|
| A. $(\sqrt{2}+1)+1+(\sqrt{2}-1)+\ldots \infty$ | IV. $\frac{4+3\sqrt{2}}{2}$ |
| B. $ \frac{1}{2}+\frac{1}{3^2}+\frac{1}{2^3}+\frac{1}{3^4}+\frac{1}{2^5}+\frac{1}{3^6}+\ldots \infty$ | I. $\frac{19}{24}$ |
| C. $6^{1/2}\times 6^{1/4}\times 6^{1/8}\ldots \infty$ | II. $6$ |
| D. $8+4\sqrt{2}+4+\ldots \infty$ | III. $8(2+\sqrt{2})$ |
Solution
Assertion: 1/3, −1/2, 3/4, −9/8 form an AP
Reason: The constant sequence is the only sequence which is both AP as well as GP.
Options:
(a) Assertion is true, Reason is true, and Reason is the correct explanation of the Assertion.
(b) Assertion is true, Reason is true, but Reason is not the correct explanation of the Assertion.
(c) Assertion is true, but Reason is false.
(d) Assertion is false, but Reason is true.
Solution
Solution
CUET PG MCA
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CUET PG MCA
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
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