Geology and Geophysics
GATE GG-1 Quantitative Aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 49. Imported answers require independent review unless marked reviewed.
Question 3
Open questionGAMCQ1 markNeeds review
Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate.
If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres)?
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 7
Open questionGAMCQ2 marksNeeds review
A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7 or 8 as shown.
Two such disks are used in a game where the arrows are independently spun.
What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 8
Open questionGAMCQ2 marksNeeds review
Consider the following inequalities.
(i)
(ii)
Which one of the following expressions below satisfies the above two inequalities?
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 3
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For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is:
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Which one of the following numbers is exactly divisible by
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In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown, in cm² is:
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 8
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Let X be a continuous random variable denoting the temperature measured. The range of temperature is [0, 100] degree Celsius and let the probability density function of X be
for
.
The mean of X is ______Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
The number of students passing or failing in an exam for a particular subject are presented in the bar chart above. Students who pass the exam cannot appear for the exam again. Students who fail the exam in the first attempt must appear for the exam in the following year. Students always pass the exam in their second attempt.
The number of students who took the exam for the first time in the year 2 and the year 3 respectively, are ________.
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Open questionGG - G1NAT1 markNeeds review
Light passes through two media with refractive indices of 1.75 and 1.55, respectively. The thickness of both the media is 30 μm. The resultant path difference of the yellow light component (λ = 589 nm) is ______ μm. (Take π = 3.141) [round off to one decimal places]
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 5
Open questionGAMCQ1 markNeeds review
A superadditive function
satisfies the following property
Which of the following functions is a superadditive function for
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