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
- 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% - The area of trapezium with parallel sides 10 and 14 cm, height 8 cm?
(A) 80 (B) 96 (C) 112 (D) 128 - The product of two consecutive even integers is 168. Smaller is?
(A) 10 (B) 12 (C) 14 (D) 16 - If a pen is sold for Rs 240 with 20% profit, CP is?
(A) 192 (B) 200 (C) 220 (D) 240 - 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 - Square root of 0.0064?
(A) 0.8 (B) 0.08 (C) 0.008 (D) 0.16 - 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 - 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
- If 2ˣ = 32, find x.
- Find the median of 4, 7, 9, 12, 15.
- HCF × LCM of 12 and 18.
- 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.”
- 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 - 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 - Synonym of recombination as used in the passage:
(A) division (B) fusion of existing parts (C) destruction (D) repetition - Antonym of dense (as in ‘dense networks’):
(A) thick (B) crowded (C) sparse (D) compact - Sentence correction: “The data ___ inconclusive.”
(A) is (B) are (C) has been (D) was [follow British/formal usage] - 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 - 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 - Vocab: “His quixotic plan to revive the village made everyone smile.” Quixotic:
(A) practical (B) impractically idealistic (C) cynical (D) violent