Engineering Sciences
GATE XE 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 41. Imported answers require independent review unless marked reviewed.
Question 8
Open questionGAMCQ2 marksNeeds review
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore,
the total number of patients with at least one of these conditions is 75,
the number of patients with high cholesterol is 10,
the number of patients with high BP is 45, and
the number of patients with only high BP and no other conditions is 20.
Then the number of patients who have both diabetes and high BP is ______
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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 10
Open questionGAMCQ2 marksNeeds review
Circles
,
, and
, with centers
,
, and
, and radii
,
, and
, respectively, touch each other as shown in the following figure. Given
cm,
cm and the angle
is
,
_____ cm. 
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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 3
Open questionGAMCQ1 markNeeds review
An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?
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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 5
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A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:
(i) The sum of Yellow balls and twice the number of Violet balls is 50.
(ii) The sum of Violet and Green balls is 50.
(iii) The sum of Yellow and Red balls is 50.
(iv) The sum of Violet and twice the number of Red balls is 50.
Which one of the following Pie charts correctly represents the balls in the bag?
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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 9
Open questionGAMCQ2 marksNeeds review
A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg.
The cost of the variety P is ₹ 800 for 5 kg.
The cost of the variety Q is ₹ 800 for 4 kg.
If the person gets 8% profit, what is the P:Q ratio (by weight)?
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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 10
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Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?
Note: The figure shown is representative.
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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 2
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Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They also decide to work independently. After trying all possible combination of elements, they conclude that the spell does not work. How many attempts does each wizard make before coming to this conclusion, independently?
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In an engineering college of 10,000 students, 1,500 like neither their core branches nor other branches. The number of students who like their core branches is 1/4th of the number of students who like other branches. The number of students who like both their core and other branches is 500.
The number of students who like their core branches is
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In the sequence 6, 9, 14,
, 30, 41, a possible 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 7
Open questionGAMCQ2 marksNeeds review
A person sold two different items at the same price. He made 10% profit in one item, and 10% loss in the other item. In selling these two items, the person made a total of
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