CUET · BIOLOGY · PYQ PAPER 2023

About __________ the first cellular forms of life appeared on earth.

A 200 million years ago
B 500 million years ago
C 2000 million years ago
D 20000 million years ago

Verified Solution

Answer & Solution

Correct Answer

(C) 2000 million years ago

Step-by-step Solution

Detailed explanation

2000 million years ago

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.

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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

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LIST I	LIST II
A. Alec Jeffreys	I. Operon model
B. Jacob and Monod	II. X-ray diffraction data of DNA
C. Erwin Chargaff	III. DNA Fingerprinting
D. Wilkins and Franklin	IV. (A+G)/(T+C)=1

List-I	List-II
(A) \(S _{ N } 2\)	(I) Racemization
(B) Iodoform	(II) Ozone depletion
(C) \(S _{ N } 1\)	(III) Antiseptic
(D) Carbon tetrachloride	(IV) Inversion

List-I (Interspecific interaction)	List-II (Species A and B respectively)
(A) Commensalism	(I) - ; -
(B) Amensalism	(II) + ; -
(C) Competition	(III) + ; 0
(D) Predation	(IV) - ; 0