Instrumentation Engineering
GATE IN Quantitative Aptitude PYQs
Build your understanding with focused practice from past exam papers.
How to practice 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 37. Imported answers require independent review unless marked reviewed.
Question 4
Open questionGAMCQ1 markNeeds review
The 2ⁿᵈ of June is a Thursday in a certain year. Which day of the week is the 3ʳᵈ of July in that year?
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?
| 0 | 1 | 2 | 3 |
|---|---|---|---|---|
Iteration (i) | | | | |
Input (I) | 20 | −4 | 10 | 15 |
Output (X) | 20 | 16 | 26 | 41 |
Output (Y) | 20 | −80 | −800 | −12000 |
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.

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Open questionGAMCQ1 markNeeds review
A student was supposed to multiply a positive real number
with another positive real number
. Instead, the student divided
by
. If the percentage error in the student’s answer is 80%, the value of
isYour answerChoose one option.
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Open questionGAMCQ1 markNeeds review
If the sum of the first 20 consecutive positive odd numbers is divided by
, the result isYour answerChoose one option.
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Open questionGAMCQ1 markNeeds review
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?

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Open questionGAMCQ1 markNeeds review
A ‘frabjous’ number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?
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Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?
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