CUET · MATHS · PYQ PAPER 2025

Increase in the number of patients in the hospitals due to heat stroke is:

A Secular trend
B Irregular variation
C Seasonal variation
D Cyclic variation

Verified Solution

Answer & Solution

Correct Answer

(C) Seasonal variation

Step-by-step Solution

Detailed explanation

Seasonal variation

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

If the length of a simple pendulum is decreased by \(3 \backslash \%\), the percentage change in its period T is
[Note : \(T=2 \pi \sqrt{\frac{L}{g}}\) where \(L\) is the length of pendulum and \(g\) is constant]

CUET 2023 Easy

For two events A and B. Match List I with List II

LIST-I	LIST-II
A. \(P(\bar{A} \cap \bar{B})=P(\bar{A}) \cdot P(\bar{B})\)	I. P(A/B) ≥ P(A)
B. \(A \subset B\) and \(P(B) \neq 0\)	II. P(A) = P(B)
C. P(AUB) = P(A) + P(B)	III. A and B are independent events
D. P(A/B) = P(B\|A)	IV. A and B are mutually exclusive events

Choose the correct answer from the options given below:

CUET 2023 Easy

Match List-I with List-II

List-I	List-II
(A) The vectors \(\lambda \hat{i}+\hat{j}+2 \hat{k}\) and \(\hat{i}+\lambda \hat{j}+\hat{k}\) are perpendicular if \(\lambda\) is equal to	(I) 1
(B) The vectors \(3 \hat{i}+6 \hat{j}-\hat{k}\) and \(2 \hat{i}+\lambda \hat{j}-2 \hat{k}\) are collinear if \(\lambda\) is equal to	(II) -1
(C) The number of vectors of unit-length which are perpendicular to both the vectors \(\vec{a}=\hat{i}+\hat{j}+2 \hat{k}\) and \(\vec{b}=3 \hat{i}-\hat{j}+5 \hat{k}\) is	(III) \(2 / 3\)
(D) If \(\|\vec{a}\|=1\) and \(\vec{a}+\vec{b}=\overrightarrow{0}\), then \(\|\vec{b}\|\) is equal to	(IV) 2

Choose the correct answer from the options given below :

CUET 2025 Medium

The corner points of the bounded feasible region determined by a set of constraints (linear inequalities) are \(A(0,5), B(3,5), C(5,0), D(4,1)\) and the objective function is \(z=p x+2 q y\) where \(p, q>0\).
The condition on \(p\) and \(q\) such that the maximum \(z\) occurs at B and D , is

CUET 2025 Medium

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List - I (Organism)	List - II (Product)
(A) Aspergillus niger	(I) Lactic Acid
(B) Acetobacter aceti	(II) Citric Acid
(C) Lactobacillus	(III) Butyric Acid
(D) Clostridium butylicum	(IV) Acetic Acid