Architecture and Planning
GATE AR Quantitative Aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–49 of 49. Imported answers require independent review unless marked reviewed.
Question 6
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An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?
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A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?
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To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
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If
what is the value of
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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 58
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A right-angled cone (with base radius 5 cm and height 12 cm), as shown in the figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again.
By what angle (in radians) about P does the cone travel?
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In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000, 8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is
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What is the sum of the missing digits in the subtraction problem below?
5 _ _ _ _
− 4 8 _ 8 9
──────────
1 1 1 1
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Let S₁ be the plane figure consisting of the points (x, y) given by the inequalities |x − 1| ≤ 2 and |y + 2| ≤ 3. Let S₂ be the plane figure given by the inequalities x − y ≥ −2, y ≥ 1, and x ≤ 3. Let S be the union of S₁ and S₂. The area of S is
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The growth of bacteria (lactobacillus) in milk leads to curd formation. A minimum bacterial population density of 0.8 (in suitable units) is needed to form curd. In the graph below, the population density of lactobacillus in 1 litre of milk is plotted as a function of time, at two different temperatures, 25 °C and 37 °C.
Consider the following statements based on the data shown above:
i. The growth in bacterial population stops earlier at 37 °C as compared to 25 °C
ii. The time taken for curd formation at 25 °C is twice the time taken at 37 °C
Which one of the following options is correct?
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