CUET PG 2025 Statistics Question Paper (13-Mar-2025) (Shift 1); Download PDF

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CUET PG Statistics selection process involves candidates qualifying through a national-level entrance test conducted by NTA. The exam pattern includes multiple-choice questions based on core areas of statistics such as probability, inference, regression, and applied statistics. The paper is computer-based, carrying 100 questions for 400 marks, with a marking scheme of +4 for correct answers and -1 for wrong ones. The March 13, 2025 (Shift 1) paper tested analytical ability, conceptual clarity, and problem-solving speed.

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CUET PG 2025 Statistics Question Paper (13-Mar-2025) (Shift 1)

90 Minutes

75 Questions

300 Marks

English, Hindi

Showing 1 - 5 of 75 questions

Page 1 of 15

Q1.

The sequence $\big\{ a_{n= \frac{1}{ n^{2} }; n>0 } \big\} $ is

convergent

divergent

oscillates finitely

oscillates infinitely

Q2.

The solution of the differential equation, $ (x^2+1)\frac{dy}{dx} + 2xy = \sqrt{x^2+4} $, is

$ y=(x^2+1)^{-1}(\frac{1}{2}x\sqrt{x^2+4}+2log|(x+\sqrt{x^2+4})|) + c; $ where c is a constant

$ y=(x^2+1)(\frac{1}{2}x\sqrt{x^2+4}+2log|(x+\sqrt{x^2+4})|) + c; $ where c is a constant

$ y = (\frac{1}{2}x\sqrt{x^2+4}+2log|(x+\sqrt{x^2+4})|) + c; $ where c is a constant

$ y = x\sqrt{x^2+4}+2log|(x+\sqrt{x^2+4})| + c; $ where c is a constant

Q3.

The maximum values of the function $ sin(x)+cos(2x) $, are

$ (0, -2) $

$ (0, \frac{9}{8}) $

$ (\frac{3}{8}, \frac{9}{8}) $

$ (\frac{9}{8}, \frac{9}{8}) $

Q4.

If, $ y = x^{tan(x)} $, then $ \frac{dy}{dx} $ at $ x = \frac{\pi}{4} $ is

$ \frac{\pi}{4} $

$ \frac{\pi}{4}log(\frac{\pi}{4}) $

$\frac{ \pi }{4}log (\frac{ \pi }{4} )^{2}+1 $

$ \frac{\pi}{4}log(\frac{\pi}{4}) + 2log(\frac{\pi}{4}) $

Q5.

If $ f(x) $ and $ g(x) $ are differentiable functions for $ 0\le x\le 1 $ such that,
$ f (1)-f(0) = k(g(1)-g(0)) $, $ k\ne 0 $, and there exists a 'c' satisfying $ 0 < c < 1 $.
Then, the value of $ \frac{f'(c)}{g'(c)} $ is equal to

$ 2k $

$ k $

$ -k $

$ \frac{1}{k} $

⋯

Page 1 of 15

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