India · National Testing Agency (JEE Main); JoSAA and CSAB (counselling) · entrance · unverified source
Unverified for this track. Computer-based test in Physics, Chemistry and Mathematics.
B.Tech Food Technology / Food Process Engineering seats at NITs and at the national food technology institutes (NIFTEM Kundli and NIFTEM Thanjavur) are understood to be filled through JEE Main and JoSAA/CSAB; confirm on each institute's admission page. Many state universities use state engineering entrance tests instead.
Official source: https://jeemain.nta.nic.in/
Original questions written to this exam's published syllabus and pattern. Not past papers.
1. What is the determinant of the matrix [[3, 2], [5, 4]]?
C. 2
det = ad − bc = 3·4 − 2·5 = 12 − 10 = 2. 22 adds the products instead of subtracting; −2 subtracts them in the wrong order (bc − ad); 7 is the trace.
Mathematics for Food Science & Engineering · Matrices, determinants, rank and systems of linear equations
2. Across a period of the periodic table from left to right, how does atomic radius change?
C. It decreases
Nuclear charge rises across a period while electrons enter the same shell, so they are pulled closer and the radius decreases. Radius increases down a group, as new shells are added.
Chemistry for Food Science (General, Organic & Physical) · Atomic structure, periodicity and chemical bonding
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