IEMJEE practice questions: original PCM exercises with answers

Physics practice

1. At a constant speed of 20 m/s for 5 seconds, distance = speed × time = 100 m. 2. Resistors of 2Ω and 3Ω in series give 5Ω; across 10V, current = V/R = 2A. 3. Photon energy is hc/λ, so doubling the wavelength halves the energy.

Chemistry practice

1. Using a molar mass of 18 g/mol, 18 g of water is one mole. 2. With hydrogen-ion concentration 0.001 mol/L, pH = −log10(0.001) = 3. 3. In H₂SO₄, two hydrogens contribute +2 and four oxygens −8, so sulfur has oxidation number +6.

Mathematics practice

1. For f(x) = x³, f′(x) = 3x², so f′(2) = 12. 2. The sum of integers 1 to 20 is 20 × 21 / 2 = 210. 3. A fair six-sided die has three even faces, so the probability of an even result is 3/6 = 1/2.

Turn answers into revision

Attempt each problem before reading its explanation. Record concepts and units you missed and then find harder problems in your syllabus material. These exercises do not reproduce institution questions or establish the difficulty of the examination.

Official sources and verification

Sources checked on 26 October 2026. A source’s date, programme and campus limit which claims it supports. Official pages may change after review.

1. IEM Group — IEMJEE and IEMCET official examination notice

   Displayed 2026 examination cycle; historical dates, course routes and official admission contacts.

2. UEM — IEMJEE examination information

   Historical examination pattern; verify the current cycle on the central portal.

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