Daily Practice Sheet — 20 Questions
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Daily IPM Practice — 12 May 2026
20 IPMAT-grade questions. Topic focus today: percentages, mixtures, CI, geometry, and a science-themed RC. Show your working.
Section A — QA MCQ
- If a number is increased by 20% then decreased by 20%, net change is?
(A) 0% (B) −4% (C) +4% (D) −2% - A mixture of 60 L milk:water = 7:3. Water added to make ratio 3:2 is?
(A) 4L (B) 6L (C) 8L (D) 10L - CI on Rs 8000 at 10% p.a. for 2 years compounded annually is?
(A) 1600 (B) 1680 (C) 1700 (D) 1764 - A rectangle has length 15 cm and diagonal 17 cm. Its area?
(A) 100 (B) 120 (C) 150 (D) 180 - If 3x − 4 = 2x + 5, then x =?
(A) 7 (B) 8 (C) 9 (D) 10 - Two pipes fill a tank in 12 and 18 hours. Together?
(A) 6h (B) 7.2h (C) 8h (D) 9h - The next term in 2, 6, 12, 20, 30, __ ?
(A) 40 (B) 42 (C) 44 (D) 36 - If log₁₀ 2 = 0.301, log₁₀ 50 ≈?
(A) 1.699 (B) 1.301 (C) 1.5 (D) 1.7
Section B — QA Short Answer
- Find x: 2x + 3 = 17
- HCF of 24 and 36.
- Sum of angles of a hexagon (in degrees).
- nCr where n=5, r=2.
Section C — Verbal Ability
RC: “Quantum computing exploits the principles of superposition and entanglement. A classical bit holds either 0 or 1, but a qubit can occupy both states simultaneously, enabling massively parallel computation in principle. Yet noise and decoherence degrade qubit fidelity within microseconds, making error correction the central engineering challenge. Recent advances in topological qubits and surface codes have shrunk error rates substantially, but a fault-tolerant universal quantum computer remains years away.”
- The passage’s primary purpose is to:
(A) Dismiss quantum computing (B) Outline its promise and the chief obstacle (C) Compare it with biology (D) Sell quantum hardware - “Decoherence” in context refers to:
(A) Decoded data (B) Loss of quantum state fidelity from noise (C) Increased speed (D) Algorithmic ambiguity - Synonym of nascent:
(A) mature (B) emerging (C) declining (D) decisive - Antonym of ephemeral:
(A) brief (B) transient (C) lasting (D) fragile - Sentence correction: “Each of the players ___ given a medal.”
(A) were (B) was (C) are (D) have - Idiom “A blessing in disguise” means:
(A) Hidden curse (B) Apparent misfortune turning into good (C) Secret favour (D) Disguised insult - Para-jumble: P. He persisted nonetheless. Q. The committee initially rejected his proposal. R. Eventually it was accepted. S. His revisions addressed every objection.
(A) QPSR (B) QSPR (C) PQSR (D) PSQR - Vocab-in-context: “His perfunctory apology offended her further.” Perfunctory:
(A) sincere (B) lengthy (C) routine and superficial (D) angry