Metallurgical Engineering
GATE MT topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
How to practice topic:quantitative-aptitude
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 39. Imported answers require independent review unless marked reviewed.
Question 2
Open questionGAMCQ1 markNeeds review
If a positive real
satisfies the following equation
then the value of
is ____________Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20
Choose the option that is necessarily correct.
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. The following observations were made:
(i) The quantity of S sold was twice that of T.
(ii) The quantity of R sold was thrice that of T.
(iii) The quantity of Q sold was four times that of T.
Product | P | Q | R | S | T |
|---|---|---|---|---|---|
Unit selling price (Rs.) | 100 | 50 | 40 | 60 | 60 |
What is the quantity of product P sold on that day?
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
Consider a string P of length
that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure (i). When both the strings are shortened by a length
they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure (ii). The value of
is __________
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
Let
and
denote two arbitrary prime numbers. Which one of the following statements is correct for all values of
and
?Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
Which one of the following options is correct for the given data in the table?
| Iteration (i) 0 | 1 | 2 | 3 |
|---|---|---|---|---|
Input (I) | 20 | −4 | 10 | 15 |
Output (X) | 20 | 16 | 26 | 41 |
Output (Y) | 20 | −80 | −800 | −1200 |
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square.
What is the area (in
) of the rectangle PLMN?Note: The figure shown is representative.
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
If two distinct non-zero real variables
and
are such that
is proportional to
then the value of
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is
Your answerChoose one option.
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