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Previous year question hub

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

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

21Papers
16Years
63Questions
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 58 92.1%
Medium 5 7.9%

Question type distribution

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

MCQ 47 74.6%
Numerical Answer Type (NAT) 13 20.6%
Fill in the blanks 2 3.2%
MSQ 1 1.6%

Subject weightage

Top subjects by unique question coverage.

Civil Engineering
63 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
63 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability and Statistics
63 Qs

Paper coverage

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

Civil Engineering (CE) 2026
2 Qs
Civil Engineering (CE) 2026
1 Qs
Civil Engineering (CE) 2025 [Session 2]
2 Qs
Civil Engineering (CE) 2025 [Session 1]
1 Qs
Civil Engineering (CE) 2024 [Session 1]
2 Qs
Civil Engineering (CE) 2024 [Session 2]
1 Qs
Civil Engineering (CE) 2022 [Session 2]
2 Qs
Civil Engineering (CE) 2020 [Session 2]
1 Qs
Civil Engineering (CE) 2019 [Session 2]
1 Qs
Civil Engineering (CE) 2018 [Session 2]
4 Qs
Civil Engineering (CE) 2017 [Session 2]
1 Qs
Civil Engineering (CE) 2016 [Session 1]
2 Qs
Civil Engineering (CE) 2016 [Session 2]
1 Qs
Civil Engineering (CE) 2014 [Session 2]
10 Qs
Civil Engineering (CE) 2014 [Session 1]
7 Qs
Civil Engineering (CE) 2013
6 Qs
Civil Engineering (CE) 2012
5 Qs
Civil Engineering (CE) 2011
6 Qs
Civil Engineering (CE) 2010
4 Qs
Civil Engineering (CE) 2009
1 Qs
Civil Engineering (CE) 2008
3 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Civil Engineering (CE) 202620261View paper
Civil Engineering (CE) 202620262View paper
Civil Engineering (CE) 2025 [Session 1]20251View paper
Civil Engineering (CE) 2025 [Session 2]20252View paper
Civil Engineering (CE) 2024 [Session 1]20242View paper
Civil Engineering (CE) 2024 [Session 2]20241View paper
Civil Engineering (CE) 2022 [Session 2]20222View paper
Civil Engineering (CE) 2020 [Session 2]20201View paper
Civil Engineering (CE) 2019 [Session 2]20191View paper
Civil Engineering (CE) 2018 [Session 2]20184View paper
Civil Engineering (CE) 2017 [Session 2]20171View paper
Civil Engineering (CE) 2016 [Session 1]20162View paper
Civil Engineering (CE) 2016 [Session 2]20161View paper
Civil Engineering (CE) 2014 [Session 1]20147View paper
Civil Engineering (CE) 2014 [Session 2]201410View paper
Civil Engineering (CE) 201320136View paper
Civil Engineering (CE) 201220125View paper
Civil Engineering (CE) 201120116View paper
Civil Engineering (CE) 201020104View paper
Civil Engineering (CE) 200920091View paper
Civil Engineering (CE) 200820083View paper

All Probability and Statistics previous year questions

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

1
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 1]
A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences.

The word closest in meaning to comprehension is
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2
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 1]
Choose the most appropriate word from the options given below to complete the following sentence.

One of his biggest _____ was his ability to forgive.
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3
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 1]
Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently.

Which one of the statements below is logically valid and can be inferred from the above sentences?
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4
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 1]
Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK
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5
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 1]

One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both countries together, what is the percentage of people taller than 6 ft?

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6
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 1]
A traffic office imposes on an average 5 number of penalties daily on traffic violators. Assume that the number of penalties on different days is independent and follows a Poisson distribution. The probability that there will be less than 4 penalties in a day is __________
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7
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 1]
The probability density function of evaporation \(E\) on any day during a year in a watershed is given by \[f(E) = \begin{cases} \frac{1}{5} & 0 \le E \le 5 \text{ mm/day} \\ 0 & \text{otherwise} \end{cases}\] The probability that \(E\) lies in between 2 and 4 mm/day in a day in the watershed is (in decimal) ______________
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8
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
Choose the most appropriate word from the options given below to complete the following sentence.
A person suffering from Alzheimer’s disease __________ short-term memory loss.
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9
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
Choose the most appropriate word from the options given below to complete the following sentence.
__________ is the key to their happiness; they are satisfied with what they have.
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10
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
Which of the following options is the closest in meaning to the sentence below?
“As a woman, I have no country.”
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11
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
In any given year, the probability of an earthquake greater than Magnitude 6 occurring in the Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes is ____ years.
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12
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the eldest child in the group?
Statements
1. Shiv is younger to Riaz.
2. Shiv is elder to Som.
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13
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
Moving into a world of big data will require us to change our thinking about the merits of exactitude. To apply the conventional mindset of measurement to the digital, connected world of the twenty-first century is to miss a crucial point. As mentioned earlier, the obsession with exactness is an artefact of the information-deprived analog era. When data was sparse, every data point was critical, and thus great care was taken to avoid letting any point bias the analysis.
From “BIG DATA” Viktor Mayer-Schönberger and Kenneth Cukier

The main point of the paragraph is:
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14
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram?

Question diagram

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15
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
10% of the population in a town is HIV+. A new diagnostic kit for HIV detection is available. This kit correctly identifies HIV+ individuals 95% of the time, and HIV- individuals 89% of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is ______
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16
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: (i) Head, (ii) Head, (iii) Head, (iv) Head. The probability of obtaining a ‘Tail’ when the coin is tossed again is
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17
2014 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2014 [Session 2]
If \(x\) is a continuous, real valued random variable defined over the interval \((-\infty, +\infty)\) and its occurrence is defined by the density function given as: \( f(x) = \frac{1}{\sqrt{2\pi b}} e^{-\frac{1}{2}\left(\frac{x-a}{b}\right)^2} \) where ‘a’ and ‘b’ are the statistical attributes of the random variable \(x\). The value of the integral \( \int_{-\infty}^{\infty} \frac{1}{\sqrt{2\pi b}} e^{-\frac{1}{2}\left(\frac{x-a}{b}\right)^2} dx \) is
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18
2016 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2016 [Session 1]
Probability density function of a random variable X is given below
\[ f(x) = \begin{cases} 0.25 & \text{if } 1 \le x \le 5 \\ 0 & \text{otherwise} \end{cases} \]
P(X \le 4) is
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19
2016 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2016 [Session 1]
Type II error in hypothesis testing is
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20
2016 · Civil Engineering · Engineering Mathematics · Probability and Statistics
Civil Engineering (CE) 2016 [Session 2]
If \(f(x)\) and \(g(x)\) are two probability density functions, \[f(x) = \begin{cases} \frac{x}{a} + 1 & : -a \le x < 0 \\ -\frac{x}{a} + 1 & : 0 \le x \le a \\ 0 & : \text{otherwise} \end{cases}\] \[g(x) = \begin{cases} -\frac{x}{a} & : -a \le x < 0 \\ \frac{x}{a} & : 0 \le x \le a \\ 0 & : \text{otherwise} \end{cases}\] Which one of the following statements is true?
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Showing 20 of 63 questions