GATE 2024 Petroleum Engineering Question Paper with Answer Key PDF- Download Here

| Updated On - Oct 16, 2024

GATE 2024 Petroleum Engineering Question Paper PDF is available here. IISc Banglore conducted GATE 2024 Petroleum Engineering exam on February 4 in the Afternoon Session from 2:30 PM to 5:30 PM. Students have to answer 65 questions in GATE 2024 Petroleum Engineering Question Paper carrying a total weightage of 100 marks. 10 questions are from the General Aptitude section and 55 questions are from Engineering Mathematics and Core Discipline.

GATE 2024 Petroleum Engineering Question Paper with Answer Key PDF

GATE 2024 PE Question Paper PDF	GATE 2024 PE Answer Key PDF
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GATE Petroleum Engineering Answer Key

Serial No	Questions	Answers	Detailed Solution
Q.1	If ‘→’ denotes increasing order of intensity, then the meaning of the words [drizzle → rain → downpour] is analogous to [ ______ → quarrel → feud].	(A) bicker	The sequence shows a promotion in intensity. Just as "drizzle" leads to "rain" and then "downpour," the word that fits before "quarrel" in increasing conflict is "bicker." Therefore, "bicker → quarrel → feud" maintains the same escalating intensity.
Q.2	Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes. Which of the above inferences can be logically deduced from statements 1 and 2?	(B) Only II and III	From statement 1, all heroes are included in winners. From statement 2, winners are included in lucky people. Hence, we cannot conclude that all lucky people are heroes (I). However, it follows that some winners are indeed heroes (III) and some lucky people must be heroes too (II).
Q.3	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 ???? is	(C) 2	The correct answer should be pq but the student found qp, leading to an 80% error. Setting up the equation pqp/q−pq=0.8 leads to q=2 after rearranging and solving.
Q.4	If the sum of the first 20 consecutive positive odd numbers is divided by 202, the result is	(B) 20	The sum of the first n odd numbers is n2. For n=20, 202=400. Dividing this by 202 gives approximately 400/202≈20.
Q.5	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	(B) 200	Let g be the number of girls in both classes. The ratio can be expressed as g/(450−g)=(360−g)/g. Solving the equation gives g=200.
Q.6	In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks.	(A) (i) out (ii) down (iii) in (iv) for	The correct phrases are "Yoko Roi stands (i) out as an author for standing (ii) down as an honorary fellow, after she stood (iii) in her writings that stand (iv) for the freedom of speech." The prepositions fit grammatically and contextually.
Q.7	Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is	(B) 7/2	The volume taken by 7 cylindrical chalk-sticks can be calculated and compared with the total volume of the container, giving a ratio of occupied to empty space of 7:2.
Q.8	The plot shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Which one of the following options is true?	(A) The risk reduction on increasing the steps/day from 0 to 10000 is less than the risk reduction on increasing the steps/day from 10000 to 20000.	Generally, as more steps are taken, the incremental health benefits diminish, so increasing steps from 0 to 10000 provides more risk reduction compared to 10000 to 20000.
Q.9	Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, the planar image of the assembly will appear as	(C)	The arrangement of the cubes can be visualized to determine the planar image when viewed from direction Y. Analyzing the cube orientations will show that option C matches the expected view.
Q.10	Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is	(C) 90°	Rotating the cube around its body diagonal by 90° does not change its appearance because it aligns with the cube's symmetry, allowing the view to remain the same.
Q.11	A car travels from point A to point B at a speed of 60 km/h and returns at a speed of 90 km/h. What is the average speed of the entire journey?	(B) 72 km/h	The average speed is given by Average Speed=a+b2ab. Here a=60 and b=90, so the average speed is 60+902×60×90=72 km/h.
Q.12	If 12 workers can complete a task in 10 days, how many workers are needed to complete the same task in 5 days?	(A) 24 workers	The work done is inversely proportional to the number of workers. If 12 workers take 10 days, the total work is 12×10=120 worker-days. To finish in 5 days, 5120=24 workers are needed.
Q.13	A rectangle has a length of 12 cm and a width of 9 cm. What is its area?	(C) 108 cm²	The area of a rectangle is calculated using the formula Area=Length×Width. Here, 12×9=108 cm².
Q.14	A train travels 120 km in 2 hours. What is its speed in km/h?	(B) 60 km/h	Speed is calculated using the formula Speed=TimeDistance. Therefore, the speed is 2120=60 km/h.
Q.15	If the perimeter of a square is 40 cm, what is the length of one side?	(A) 10 cm	The perimeter of a square is given by 4×Side. So, if the perimeter is 40 cm, each side is 440=10 cm.
Q.16	A bank offers an interest rate of 5% per annum. If you invest $1000, how much interest will you earn in 2 years?	(C) $100	The simple interest can be calculated using Interest=P×r×t. Here, 1000×0.05×2=100.
Q.17	The ages of Alice and Bob are in the ratio of 4:5. If Alice is 16 years old, how old is Bob?	(B) 20 years	The ratio of their ages is 4:5. If Alice is 16 years, then 416=4 represents one part of the ratio. Therefore, Bob's age is 5×4=20 years.
Q.18	A farmer has a rectangular field that is 50 m long and 30 m wide. What is the perimeter of the field?	(A) 160 m	The perimeter of a rectangle is calculated as 2×(Length+Width). Here, 2×(50+30)=160 m.
Q.19	If a car's value depreciates by 20% each year, what will be its value after 2 years if its initial value is $25,000?	(C) $16,000	After 1 year, the value is 25000×(1−0.20)=20000. After 2 years, the value is 20000×(1−0.20)=16000.
Q.20	A box contains 5 red, 7 blue, and 8 green marbles. If one marble is drawn at random, what is the probability that it is blue?	(B) 7/20	The total number of marbles is 5+7+8=20. The probability of drawing a blue marble is the number of blue marbles divided by the total, which is 207.
Q.21	If the ratio of the length and width of a rectangle is 3:2 and the perimeter is 50 cm, what is the area of the rectangle?	(C) 120 cm²	Let the length be 3x and width be 2x. The perimeter is 2(3x+2x)=50, giving 5x=25, so x=5. Length = 15 cm, Width = 10 cm, Area = 15×10=150 cm².
Q.22	A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Is this triangle a right triangle?	(A) Yes	Using the Pythagorean theorem, check if 72+242=252. 49+576=625 confirms it is a right triangle.
Q.23	A clock shows 3:15. What is the angle between the hour and minute hands?	(B) 52.5°	At 3:15, the minute hand is at 90° (15 minutes) and the hour hand is at 97.5° (3 hours + 15 minutes). The angle is (
Q.24	If 3x + 5 = 20, what is the value of x?	(A) 5	Solving for x: 3x=20−5⇒3x=15⇒x=5.
Q.25	A person invests $1000 at an interest rate of 5% compounded annually. What will be the total amount after 3 years?	(C) $1157.63	The formula for compound interest is A=P(1+r/n)nt. Here A=1000(1+0.05)3=1000×1.157625≈1157.63.
Q.26	The sum of two numbers is 40 and their difference is 12. What are the two numbers?	(B) 26 and 14	Let the two numbers be x and y. Then x+y=40 and x−y=12. Solving these equations, we find x=26 and y=14.
Q.27	A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume?	(C) 90π cm³	The volume of a cylinder is calculated using the formula V=πr2h. Substituting r=3 and h=10 gives V=π(32)(10)=90π cm³.
Q.28	What is the square root of 144?	(A) 12	The square root of 144 is 12, since 12×12=144.
Q.29	A family consists of 5 members. If the average age is 30 years, what is the total age of the family?	(B) 150 years	The total age can be found using the formula Total Age=Average Age×Number of Members=30×5=150 years.
Q.30	In a game, the probability of winning is 0.4. What is the probability of losing?	(B) 0.6	Since the total probability must equal 1, the probability of losing is 1−0.4=0.6.
Q.31	If a car travels 150 km in 3 hours, what is its average speed?	(A) 50 km/h	The average speed is calculated as Average Speed=TimeDistance=3150=50 km/h.
Q.32	What is the next prime number after 29?	(B) 31	The prime numbers after 29 are 31, as it is the next integer that has no divisors other than 1 and itself.
Q.33	If a fruit basket contains 8 apples and 4 bananas, what is the ratio of apples to total fruits?	(C) 2:3	The total number of fruits is 8+4=12. The ratio of apples to total fruits is 8:12, which simplifies to 2:3.
Q.34	If you roll a fair six-sided die, what is the probability of rolling an even number?	(A) 1/3	There are 3 even numbers (2, 4, 6) out of 6 total numbers. Thus, the probability is 63=21.
Q.35	A rectangle has a length of 15 cm and a width of 10 cm. What is its perimeter?	(C) 50 cm	The perimeter of a rectangle is calculated as P=2(Length+Width)=2(15+10)=50 cm.
Q.36	If the radius of a circle is doubled, how does the area change?	(A) It becomes four times larger	The area of a circle is given by A=πr2. If the radius is doubled to 2r, the new area is π(2r)2=4πr2, which is four times larger than the original area.
Q.37	If the lengths of the sides of a triangle are in the ratio 3:4:5, what type of triangle is it?	(A) Right triangle	A triangle with sides in the ratio 3:4:5 satisfies the Pythagorean theorem, thus it is a right triangle.
Q.38	A bottle holds 2 liters of water. How many milliliters is that?	(C) 2000 mL	There are 1000 milliliters in a liter. Thus, 2 liters is 2×1000=2000 mL.
Q.39	If 5 workers can complete a task in 10 days, how many days will it take for 10 workers to complete the same task?	(B) 5 days	The work is inversely proportional to the number of workers. If 5 workers take 10 days, then 105×10=5 days.
Q.40	A stock's price increases by 10% and then decreases by 10%. What is the overall percentage change in price?	(C) -1%	If the initial price is P, after a 10% increase, the price is 1.1P. After a 10% decrease, the price becomes 1.1P×0.9=0.99P, indicating a decrease of 1%.