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Previous year question hub

Elementary Statistics - Probability - General Aptitude (GA) Previous Year Questions

Practice Elementary Statistics - Probability - General Aptitude (GA) previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

12Papers
7Years
18Questions
1Topics

Elementary Statistics question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 14 77.8%
Medium 4 22.2%

Question type distribution

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

MCQ 16 88.9%
Numerical Answer Type (NAT) 2 11.1%

Subject weightage

Top subjects by unique question coverage.

General Aptitude (GA)
18 Qs

Most asked topics

Top topics across the included previous year papers.

Probability
18 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Elementary Statistics
18 Qs

Paper coverage

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

Mechanical Engineering (ME) 2025
2 Qs
Mechanical Engineering (ME) 2024
1 Qs
Mechanical Engineering (ME) 2018 [Session 2]
1 Qs
Mechanical Engineering (ME) 2016 [Session 1]
1 Qs
Mechanical Engineering (ME) 2016 [Session 2]
1 Qs
Mechanical Engineering (ME) 2015 [Session 1]
3 Qs
Mechanical Engineering (ME) 2015 [Session 2]
3 Qs
Mechanical Engineering (ME) 2015 [Session 3]
1 Qs
Mechanical Engineering (ME) 2014 [Session 2]
1 Qs
Mechanical Engineering (ME) 2014 [Session 3]
1 Qs
Mechanical Engineering (ME) 2014 [Session 4]
1 Qs
Mechanical Engineering (ME) 2012
2 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Mechanical Engineering (ME) 202520252View paper
Mechanical Engineering (ME) 202420241View paper
Mechanical Engineering (ME) 2018 [Session 2]20181View paper
Mechanical Engineering (ME) 2016 [Session 1]20161View paper
Mechanical Engineering (ME) 2016 [Session 2]20161View paper
Mechanical Engineering (ME) 2015 [Session 1]20153View paper
Mechanical Engineering (ME) 2015 [Session 2]20153View paper
Mechanical Engineering (ME) 2015 [Session 3]20151View paper
Mechanical Engineering (ME) 2014 [Session 2]20141View paper
Mechanical Engineering (ME) 2014 [Session 3]20141View paper
Mechanical Engineering (ME) 2014 [Session 4]20141View paper
Mechanical Engineering (ME) 201220122View paper

All Elementary Statistics previous year questions

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

1
2012 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2012

A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is

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2
2012 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2012
An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X's shock absorbers, 96% are reliable. Of Y's shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
Open complete paper
3
2014 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2014 [Session 2]
A box contains 25 parts of which 10 are defective. Two parts are being drawn simultaneously in a random manner from the box. The probability of both the parts being good is
Open complete paper
4
2014 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2014 [Session 3]
You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is
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5
2014 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2014 [Session 4]
A regular die has six sides with numbers 1 to 6 marked on its sides. If a very large number of throws show the following frequencies of occurrence: 1 → 0.167; 2 → 0.167; 3 → 0.152; 4 → 0.166; 5 → 0.168; 6 → 0.180. We call this die
Open complete paper
6
2015 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2015 [Session 1]

Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is 1/6 and that of Ramesh is 1/8. What is the probability that only one of them will be selected?

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7
2015 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2015 [Session 1]

Among the four normal distributions with probability density functions as shown below, which one has the lowest variance?

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8
2015 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2015 [Session 1]
The probability of obtaining at least two "SIX" in throwing a fair dice 4 times is
Open complete paper
9
2015 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2015 [Session 2]
A coin is tossed thrice. Let \(X\) be the event that head occurs in each of the first two tosses. Let \(Y\) be the event that a tail occurs on the third toss. Let \(Z\) be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?
Open complete paper
10
2015 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2015 [Session 2]
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are 0.8, 0.7 and 0.5. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is __________
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11
2015 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2015 [Session 2]
The chance of a student passing an exam is 20%. The chance of a student passing the exam and getting above 90% marks in it is 5%. GIVEN that a student passes the examination, the probability that the student gets above 90% marks is
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12
2015 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2015 [Session 3]
If P(X) = 1/4, P(Y) = 1/3, and P(X ∩ Y) = 1/12, the value of P(Y/X) is
Open complete paper
13
2016 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2016 [Session 1]
A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?
Open complete paper
14
2016 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2016 [Session 2]
Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of 200 marks. It was observed that the mean of group P was 105, while that of group Q was 85. The standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?

Question diagram

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15
2018 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2018 [Session 2]
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials:
(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __.
Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?
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16
2024 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2024

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw.

If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?

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17
2025 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2025
P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches and lost 5% of the matches.
If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?
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18
2025 · General Aptitude (GA) · Probability · Elementary Statistics
Mechanical Engineering (ME) 2025

A final year student appears for placement interview in two companies, S and T. Based on her interview performance, she estimates the probability of receiving job offers from companies S and T to be 0.8 and 0.6, respectively. Let p be the probability that she receives job offers from both the companies. Select the most appropriate option.

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