Daily IPM Practice — 17 May 2026 (20 Questions)

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Daily Practice Sheet — 20 Questions

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Daily IPM Practice — 17 May 2026

Today: data sufficiency style + classic IPMAT mix. RC on innovation. Push for clean working and pithy reasoning.

Section A — QA MCQ

  1. A man spends 75% of his income. If income rises 20% and expenses rise 10%, savings rise by?
    (A) 30% (B) 40% (C) 50% (D) 60%
  2. The area of trapezium with parallel sides 10 and 14 cm, height 8 cm?
    (A) 80 (B) 96 (C) 112 (D) 128
  3. The product of two consecutive even integers is 168. Smaller is?
    (A) 10 (B) 12 (C) 14 (D) 16
  4. If a pen is sold for Rs 240 with 20% profit, CP is?
    (A) 192 (B) 200 (C) 220 (D) 240
  5. In how many ways can 5 boys sit in a row such that 2 particular boys sit together?
    (A) 24 (B) 48 (C) 60 (D) 120
  6. Square root of 0.0064?
    (A) 0.8 (B) 0.08 (C) 0.008 (D) 0.16
  7. If the mean of 5 numbers is 20 and four are 18, 22, 24, 16, the fifth is?
    (A) 18 (B) 20 (C) 22 (D) 24
  8. If sec θ = 5/4, find tan θ (acute θ).
    (A) 3/4 (B) 4/3 (C) 3/5 (D) 4/5

Section B — QA Short Answer

  1. If 2ˣ = 32, find x.
  2. Find the median of 4, 7, 9, 12, 15.
  3. HCF × LCM of 12 and 18.
  4. If x² = 121, find positive x.

Section C — Verbal Ability

RC: “Innovation, contrary to popular myth, rarely springs from solitary genius. Most breakthroughs are recombinations — existing ideas, tools, and techniques fused in new ways. The transistor combined quantum mechanics with materials science; the smartphone fused mobile telephony, capacitive touchscreens, and miniaturised sensors. Recognising innovation as recombination changes how organisations should invest: not in isolated stars but in dense networks where ideas can collide. The lone-inventor narrative persists because it is dramatic, but it is misleading.”

  1. The passage’s central claim is:
    (A) Innovation comes from lone geniuses (B) Innovation is mostly recombination of existing ideas (C) Innovation is impossible to manage (D) Innovation requires isolated stars
  2. The author’s view of the “lone-inventor narrative” is:
    (A) Accurate and important (B) Misleading but persistent because it is dramatic (C) Recently disproved (D) A useful management tool
  3. Synonym of recombination as used in the passage:
    (A) division (B) fusion of existing parts (C) destruction (D) repetition
  4. Antonym of dense (as in ‘dense networks’):
    (A) thick (B) crowded (C) sparse (D) compact
  5. Sentence correction: “The data ___ inconclusive.”
    (A) is (B) are (C) has been (D) was [follow British/formal usage]
  6. Idiom “Hit the nail on the head” means:
    (A) Miss the point (B) Identify exactly the right point (C) Strike someone (D) Begin a task
  7. Para-jumble: P. Edison patented the phonograph in 1877. Q. Recordings spread across the world within decades. R. He had been searching for a way to record telegraph signals. S. Almost by accident, the idea of recording sound emerged.
    (A) PRSQ (B) RSPQ (C) RPSQ (D) PRSQ
  8. Vocab: “His quixotic plan to revive the village made everyone smile.” Quixotic:
    (A) practical (B) impractically idealistic (C) cynical (D) violent