Daily Practice Sheet — 20 Questions
Take this quiz online with timer, mark-for-review, instant scorecard, percentile, and per-question explanations. CLAT scoring scheme: +1 / -0.25.
Daily IPM Practice — 15 May 2026
Today: number system, ages, work-rate variation, set theory, RC on AI.
Section A — QA MCQ
- The remainder when 2^30 is divided by 7?
(A) 1 (B) 2 (C) 4 (D) 6 - Father is thrice as old as son. After 12 years father will be twice as old. Son’s present age?
(A) 10 (B) 12 (C) 14 (D) 16 - In a class of 60, 35 like Maths, 30 like Science, 10 like both. Like neither?
(A) 0 (B) 5 (C) 10 (D) 15 - If x + 1/x = 4, then x² + 1/x²?
(A) 14 (B) 15 (C) 16 (D) 18 - Cost price increases 20%. To maintain profit %, SP must increase by?
(A) 20% (B) 25% (C) 22% (D) 16.67% - The HCF and LCM of two numbers are 6 and 72. If one number is 24, the other?
(A) 12 (B) 18 (C) 24 (D) 36 - A cylinder has radius 7 cm and height 10 cm. Volume?
(A) 1540 (B) 1450 (C) 1320 (D) 1100 - How many even 3-digit numbers can be made from 0-5 with no repetition?
(A) 36 (B) 48 (C) 52 (D) 60
Section B — QA Short Answer
- If f(x) = 2x + 3, find f(f(2)).
- Solve: 2/x + 3/y = 1 and x = y. Find x.
- The arithmetic mean of 3, 5, 7, 9.
- If 0.4x = 12, find x.
Section C — Verbal Ability
RC: “Large language models have moved from research curiosity to economic infrastructure within five years. They translate, draft, summarise, and code at near-expert quality in many domains. Yet their reliability remains uneven: factual errors, brittle reasoning, and prompt-sensitive outputs all persist. The most striking aspect is not their capability but their generality — a single model can plausibly handle tasks that once required dozens of specialised systems. Whether that generality will scale to true reasoning is the open question.”
- The passage’s central claim is:
(A) LLMs are unreliable and useless (B) LLMs’ most distinctive feature is generality, though true reasoning is unresolved (C) LLMs already reason like humans (D) LLMs will replace all software - “Brittle reasoning” in context means:
(A) Reasoning that breaks down under small perturbations (B) Rigidly logical (C) Unbreakable (D) Mathematically rigorous - Synonym of plausible:
(A) impossible (B) believable (C) certain (D) elaborate - Antonym of obscure:
(A) hidden (B) unclear (C) evident (D) remote - Sentence correction: “Neither of the two answers ___ correct.”
(A) are (B) is (C) were (D) have been - Idiom “Beating around the bush” means:
(A) Speaking directly (B) Avoiding the main topic (C) Lying (D) Wasting energy - Para-jumble: P. Critics dismissed the experiment. Q. The researcher published her findings. R. Within a decade, the theory was textbook orthodoxy. S. But she gathered more data and replicated results.
(A) QPSR (B) QSPR (C) PQSR (D) QPRS - Vocab: “He gave a cogent argument.” Cogent:
(A) confusing (B) clear and convincing (C) lengthy (D) hostile