Difficulty distribution
How the classified questions are distributed by difficulty.
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Practice Probability and Statistics - Engineering Mathematics - Biotechnology previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
Every graph below is calculated only from this selection.
Compare question counts across years.
How the classified questions are distributed by difficulty.
MCQ, numerical, multiple-select and other formats found in these papers.
Top subjects by unique question coverage.
Top topics across the included previous year papers.
Top subtopics inside this exact selection.
Question coverage for the most populated papers. Every active PYP paper remains listed below.
Newest papers appear first. Search these papers or sort by year and name.
| Paper name | Year | Attempt | |
|---|---|---|---|
Biotechnology (BT) 20262026 | 2026 |
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Biotechnology (BT) 20252025 | 2025 | |
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Biotechnology (BT) 20242024 | 2024 | |
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Biotechnology (BT) 20232023 | 2023 | |
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Biotechnology (BT) 20222022 | 2022 | |
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Biotechnology (BT) 20212021 | 2021 | |
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Biotechnology (BT) 20192019 | 2019 | |
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Biotechnology (BT) 20182018 | 2018 | |
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Biotechnology (BT) 20172017 | 2017 | |
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Biotechnology (BT) 20162016 | 2016 | |
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Biotechnology (BT) 20152015 | 2015 | |
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Biotechnology (BT) 20142014 | 2014 | |
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Biotechnology (BT) 20132013 | 2013 | |
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Biotechnology (BT) 20122012 | 2012 | |
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Biotechnology (BT) 20112011 | 2011 | |
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Biotechnology (BT) 20102010 | 2010 | |
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Practice every matching question in batches of 20, with every available option.
In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by M2?
Following table gives data on tourists from different countries visiting India in the year 2011.
| Country | Number of Tourists |
|---|---|
| USA | 2000 |
| England | 3500 |
| Germany | 1200 |
| Italy | 1100 |
| Japan | 2400 |
| Australia | 2300 |
| France | 1000 |
A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible.
The distribution of marks scored by a large class in an exam can be represented as a normal distribution with mean μ and standard deviation σ. In a follow-up exam in the same class, everyone scored 5 marks more than their respective score in the earlier exam. For this follow-up exam, the distribution of marks can be represented as a normal distribution with mean μ2 and standard deviation σ2. Which one of the following is correct?
| X | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| P(X) | 0.3 | 0.4 | 0.2 | 0.1 |
| X (in Rs.) | -100 | 0 | 100 | 500 |
|---|---|---|---|---|
| P (X) | 0.25 | 0.5 | 0.2 | 0.05 |
Three balls, colored in blue, green and red, are successively transferred from box A to box B in the order BLUE-GREEN-RED. The probability of a reverse transfer of the balls to the box A in the same order (rounded off to two decimal places) is ______.
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