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Daily Practice Sheet — 20 Questions
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Daily IPM Practice — 13 May 2026
Today: TSD, mensuration (3D), probability, AP, plus a history-themed RC. Difficulty: medium.
Section A — QA MCQ
- A car travels 240 km in 4 h. How long for 420 km at the same speed?
(A) 6h (B) 6.5h (C) 7h (D) 7.5h - Volume of a cube with surface area 96 cm²?
(A) 27 (B) 64 (C) 125 (D) 216 - Probability of getting a sum of 7 with two dice?
(A) 1/6 (B) 5/36 (C) 7/36 (D) 1/9 - 10th term of AP: 5, 9, 13, …?
(A) 37 (B) 39 (C) 41 (D) 43 - If a²+b² = 25 and ab = 12, then (a+b)²?
(A) 49 (B) 25 (C) 13 (D) 1 - A boat goes 24 km downstream in 3 h, upstream in 4 h. Stream speed?
(A) 1 km/h (B) 2 km/h (C) 1.5 km/h (D) 0.5 km/h - If sin θ = 3/5, then cos θ in Q1?
(A) 3/5 (B) 4/5 (C) 5/3 (D) 5/4 - How many 3-digit numbers can be made from 1-9 with no repetition?
(A) 504 (B) 729 (C) 720 (D) 648
Section B — QA Short Answer
- Find the LCM of 8, 12, 18.
- If 5x = 125, find x.
- Simple Interest on Rs 5000 at 6% p.a. for 2.5 years.
- Find the value: (101)² − (99)².
Section C — Verbal Ability
RC: “The Indian Renaissance of the 19th century was less a sudden awakening than a slow synthesis. Reformers like Raja Ram Mohan Roy did not reject tradition wholesale; they sifted scripture, debated practice, and engaged with European thought. The movement opposed sati and child marriage while affirming Vedantic universalism. Its principal achievement was not legal reform per se but the creation of a modern public sphere where reason and religion could coexist in tension.”
- The author’s view of the Indian Renaissance is best described as:
(A) A revolutionary break (B) A gradual synthesis of tradition and modernity (C) Pure imitation of Europe (D) Failure of reform - “Public sphere” in context most nearly means:
(A) Government office (B) Religious assembly (C) Arena of reasoned debate (D) Marketplace - Synonym of laudable:
(A) regrettable (B) praiseworthy (C) audible (D) doubtful - Antonym of frugal:
(A) thrifty (B) extravagant (C) modest (D) cheap - Sentence correction: “The number of applicants ___ growing.”
(A) are (B) is (C) have been (D) were - Idiom “Turn a blind eye” means:
(A) Examine closely (B) Ignore deliberately (C) Suffer silently (D) Forgive openly - Para-jumble: P. By the third day, supplies ran low. Q. The expedition set off at dawn. R. Yet they pressed on. S. Snow fell heavily within hours.
(A) QSPR (B) QPSR (C) PSQR (D) SQPR - Vocab-in-context: “The judge issued a stringent order.” Stringent:
(A) lenient (B) strict and rigorous (C) ambiguous (D) verbose