Production and Industrial Engineering
GATE PI topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 43. Imported answers require independent review unless marked reviewed.
Question 5
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In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid.
Based on the data provided, the total number of valid votes received by the candidates B and C is
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The probability of a boy or a girl being born is 1/2. For a family having only three children, what is the probability of having two girls and one boy?
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Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table.
| Mutual fund A | Mutual fund B | Mutual fund C |
|---|---|---|---|
Person 1 | ₹10,000 | ₹20,000 | ₹20,000 |
Person 2 | ₹20,000 | ₹15,000 | ₹15,000 |
At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?
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In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
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To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
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The coefficient of
in the polynomial
is equal to _____.Your answerChoose one option.
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A sphere of radius
cm is packed in a box of cubical shape. What should be the minimum volume (in cm
) of the box that can enclose the sphere?Your answerChoose one option.
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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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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 their 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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Consider the following inequalities.
(i)
(ii)
Which one of the following expressions below satisfies the above two inequalities?
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