21. If a fair coin is tossed two times, the probability that the first or second toss Swill be heads is __________ (rounded off to two decimal places). Probability That […]
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IIT JAM Biotechnology Previous Year Question paper Topic Mathematics
Evaluate lim x→3 (x² − 9)/(x² − 4x + 3)
20. The value of limx→3 (x2 − 9)/(x2 − 4x + 3) is ______ (rounded off to the nearest integer). Evaluate the Limit of (x² − 9)/(x² − 4x + […]
IIT JAM Biotechnology Previous Year Question paper Topic Mathematics
Area of Circumcircle of a Square When Incircle Area Is 100 cm²
19. For a given square, if the area of its incircle is 100 cm², then the area of its circumcircle is cm² (rounded off to the nearest integer). Area of […]
IIT JAM Biotechnology Previous Year Question paper Topic Mathematics
Percent Probability That 0 ≤ Z ≤ 1 in a Standard Normal Distribution
18. If a variable Z shows a standard normal distribution, then the percent probability that 0 ≤ Z ≤ 1 is ______ (rounded off to the nearest integer). (A) 34 […]
IIT JAM Biotechnology Previous Year Question paper Topic Mathematics
Find P(X < 5) from a Discrete Probability Distribution
17. A random variable X and its probability distribution are given below. The value of P(X < 5) is ______ (rounded off to one decimal place). X 0 1 2 […]
IIT JAM Biotechnology Previous Year Question paper Topic Mathematics
Calculate the Mean of Distinct Values with Frequencies
16. Given data consists of distinct values of xi occurring with frequencies fi. The mean value for the data is ______ (rounded off to one decimal place). (2023) The given […]
IIT JAM Biotechnology Previous Year Question paper Topic Mathematics
Evaluate lim x→−3 (2x + 6)/(x + 3)
15. The value of limx→−3 (2x + 6)/(x + 3) is ______. Evaluate the Limit of (2x + 6)/(x + 3) as x Approaches −3 Understanding the Given Limit Problem […]
IIT JAM Biotechnology Previous Year Question paper Topic Mathematics
Find the Order of the Differential Equation
14. The order of the differential equation d3y/dx3 + 2d2y/dx2 − 3dy/dx + 6x4y = 0 is ______. Find the Order of the Differential Equation d³y/dx³ + 2d²y/dx² − 3dy/dx + […]
IIT JAM Biotechnology Previous Year Question paper Topic Mathematics
Probability of DNA Cutting by a Restriction Endonuclease
13. A restriction endonuclease has a recognition site of 3 bases. Assuming random arrangement of nucleotides, the probability that this endonuclease will cut a piece of DNA is ______ (rounded […]
IIT JAM Biotechnology Previous Year Question paper Topic Mathematics
Number of Unique Linear Tetrapeptides
12. The number of possible unique combination(s) of linear tetrapeptides that can be made from four different amino acids using each amino acid only once in the chain is/are ______. […]
