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

1

2012 · General Aptitude (GA) · General Aptitude · Probability

Aerospace Engineering (AE) 2012

Two policemen, A and B, fire once each at the same time at an escaping convict. The probability that A hits the convict is three times the probability that B hits the convict. If the probability of the convict not getting injured is 0.5, the probability that B hits the convict is

A

0.14

B

0.22

C

0.33

D

0.40

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2

2014 · General Aptitude (GA) · General Aptitude · Probability

Aerospace Engineering (AE) 2014

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?

A

3.0

B

2.5

C

1.5

D

1.25

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3

2014 · General Aptitude (GA) · General Aptitude · Probability

Aerospace Engineering (AE) 2014

The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value)

(i) On average, it rains more in July than in December
(ii) Every year, the amount of rainfall in August is more than that in January
(iii) July rainfall can be estimated with better confidence than February rainfall
(iv) In August, there is at least 500 mm of rainfall

A

(i) and (ii)

B

(i) and (iii)

C

(ii) and (iii)

D

(iii) and (iv)

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4

2015 · General Aptitude (GA) · General Aptitude · Probability

Aerospace Engineering (AE) 2015

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?

A

X and Y are not independent

B

Y and Z are dependent

C

Y and Z are independent

D

X and Z are independent

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5

2016 · General Aptitude (GA) · General Aptitude · Probability

Aerospace Engineering (AE) 2016

Shaquille O’Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?

A

0.2508

B

0.2816

C

0.2934

D

0.6000

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6

2018 · General Aptitude (GA) · General Aptitude · Probability

Aerospace Engineering (AE) 2018

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?

A

Two T will occur.

B

One H and one T will occur.

C

Two H will occur.

D

One H will be followed by one T.

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7

2021 · General Aptitude (GA) · General Aptitude · Probability

Aerospace Engineering (AE) 2021

Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is:

A

\(\frac{1}{36}\)

B

\(\frac{1}{12}\)

C

\(\frac{1}{8}\)

D

\(\frac{1}{4}\)

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8

2025 · General Aptitude (GA) · General Aptitude · Probability

Aerospace Engineering (AE) 2025

The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ 1000(X – 0.2), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?
Note: The figure shown is representative.

A

6,100

B

6,300

C

6,000

D

6,500

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9

2013 · General Aptitude (GA) · General Aptitude · Probability

Aerospace Engineering (AE) 2013

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?

A

0.35

B

0.45

C

0.5

D

0.4

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