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Previous year question hub

Probability and Statistics - Engineering Mathematics - Instrumentation Engineering Previous Year Questions

Practice Probability and Statistics - Engineering Mathematics - Instrumentation Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

21Papers
18Years
74Questions
1Topics

Probability and Statistics question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Probability and Statistics. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 70 94.6%
Medium 4 5.4%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 60 81.1%
Numerical Answer Type (NAT) 12 16.2%
MSQ 2 2.7%

Subject weightage

Top subjects by unique question coverage.

Instrumentation Engineering
74 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
74 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability and Statistics
74 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Instrumentation Engineering (IN) 2026
2 Qs
Instrumentation Engineering (IN) 2025
1 Qs
Instrumentation Engineering (IN) 2024
2 Qs
Instrumentation Engineering (IN) 2023
2 Qs
Instrumentation Engineering (IN) 2022
1 Qs
Instrumentation Engineering (IN) 2021
1 Qs
Instrumentation Engineering (IN) 2020
2 Qs
Instrumentation Engineering (IN) 2019
2 Qs
Instrumentation Engineering (IN) 2018
8 Qs
Instrumentation Engineering (IN) 2017
7 Qs
Instrumentation Engineering (IN) 2016
1 Qs
Instrumentation Engineering (IN) 2014
2 Qs
Instrumentation Engineering (IN) 2013 [Session 4]
7 Qs
Instrumentation Engineering (IN) 2013 [Session 1]
6 Qs
Instrumentation Engineering (IN) 2013 [Session 2]
6 Qs
Instrumentation Engineering (IN) 2013 [Session 3]
6 Qs
Instrumentation Engineering (IN) 2011
6 Qs
Instrumentation Engineering (IN) 2010
8 Qs
Instrumentation Engineering (IN) 2009
1 Qs
Instrumentation Engineering (IN) 2008
2 Qs
Instrumentation Engineering (IN) 2007
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Instrumentation Engineering (IN) 202620262View paper
Instrumentation Engineering (IN) 202520251View paper
Instrumentation Engineering (IN) 202420242View paper
Instrumentation Engineering (IN) 202320232View paper
Instrumentation Engineering (IN) 202220221View paper
Instrumentation Engineering (IN) 202120211View paper
Instrumentation Engineering (IN) 202020202View paper
Instrumentation Engineering (IN) 201920192View paper
Instrumentation Engineering (IN) 201820188View paper
Instrumentation Engineering (IN) 201720177View paper
Instrumentation Engineering (IN) 201620161View paper
Instrumentation Engineering (IN) 201420142View paper
Instrumentation Engineering (IN) 2013 [Session 1]20136View paper
Instrumentation Engineering (IN) 2013 [Session 2]20136View paper
Instrumentation Engineering (IN) 2013 [Session 3]20136View paper
Instrumentation Engineering (IN) 2013 [Session 4]20137View paper
Instrumentation Engineering (IN) 201120116View paper
Instrumentation Engineering (IN) 201020108View paper
Instrumentation Engineering (IN) 200920091View paper
Instrumentation Engineering (IN) 200820082View paper
Instrumentation Engineering (IN) 200720071View paper

All Probability and Statistics previous year questions

Practice every matching question in batches of 20, with every available option.

1
2009 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2009

A screening test is carried out to detect a certain disease. It is found that 12% of the positive reports and 15% of the negative reports are incorrect. Assuming that the probability of a person getting a positive report is 0.01, the probability that a person tested gets an incorrect report is

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2
2010 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2010
The diameters of 10000 ball bearings were measured. The mean diameter and standard deviation were found to be 10 mm and 0.03 mm respectively. Assuming Gaussian distribution of measurements, it can be expected that the number of measurements more than 10.15 mm will be
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3
2010 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2010
25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:
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4
2010 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2010
Choose the most appropriate word from the options given below to complete the following sentence:
If we manage to ____________ our natural resources, we would leave a better planet for our children.
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5
2010 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2010
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair.
Unemployed : Worker
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6
2010 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2010
Which of the following options is the closest in meaning to the word below:
Circuitous
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7
2010 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2010
Choose the most appropriate word from the options given below to complete the following sentence:
His rather casual remarks on politics ____________ his lack of seriousness about the subject.
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8
2010 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2010
Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
i. Hari’s age + Gita’s age > Irfan’s age + Saira’s age.
ii. The age difference between Gita and Saira is 1 year. However, Gita is not the eldest and Saira is not the youngest.
iii. There are no twins.
In what order were they born (oldest first)?
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9
2010 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2010
Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?
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10
2011 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2011

The box 1 contains chips numbered 3, 6, 9, 12 and 15. The box 2 contains chips numbered 6, 11, 16, 21 and 26. Two chips, one from each box, are drawn at random. The numbers written on these chips are multiplied. The probability for the product to be an even number is

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11
2011 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2011
There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2 votes, then what was the total number of voters?
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12
2011 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2011

The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair: Gladiator : Arena

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13
2011 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2011

Choose the most appropriate word from the options given below to complete the following sentence: Under ethical guidelines recently adopted by the Indian Medical Association, human genes are to be manipulated only to correct diseases for which ______ treatments are unsatisfactory.

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14
2011 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2011
Choose the most appropriate word from the options given below to complete the following sentence: It was her view that the country's problems had been ______ by foreign technocrats, so that to invite them to come back would be counter-productive.
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15
2011 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2011

The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight with diphtheria and tetanus were developed this way. It can be inferred from the passage, that horses were

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16
2013 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2013 [Session 1]
A continuous random variable X has a probability density function \(f(x) = e^{-x}, 0 < x < \infty\). Then \(P[X > 1]\) is
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17
2013 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2013 [Session 1]

Choose the grammatically CORRECT sentence:

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18
2013 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2013 [Session 1]
They were requested not to quarrel with others.
Which one of the following options is the closest in meaning to the word quarrel?
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19
2013 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2013 [Session 1]

In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41°C and of Tuesday to Thursday was 43°C. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in °C on Thursday was

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20
2013 · Instrumentation Engineering · Engineering Mathematics · Probability and Statistics
Instrumentation Engineering (IN) 2013 [Session 1]
What is the chance that a leap year, selected at random, will contain 53 Saturdays?
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Showing 20 of 60 questions