Production and Industrial Engineering
GATE PI format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 367. Imported answers require independent review unless marked reviewed.
Question 4
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The sum of the following infinite series is
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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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Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk.
Based on the given passage, which of the following can be inferred?
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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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Three different views of a dice are shown in the figure below.
The piece of paper that can be folded to make this dice is
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Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?
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Open questionPIMCQ1 markNeeds review
In the Taylor series expansion of
around
, the coefficient of the term
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A vector field is given as
, where
and
are the unit vectors along the x and y axes in the Cartesian frame, respectively. Then the value of
where
is an elemental path taken over an anticlockwise circular contour
of radius
is
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A uniform cantilever beam of length
and flexural rigidity
is loaded by a force
as shown in the figure. Assuming that the Euler-Bernoulli beam theory is applicable here, the magnitude of the static deflection at the free end of the beam is
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