PGEE 2025 Memory-Based Questions 🔥
The exam consisted of a total of 90 questions. The Aptitude section had 40 questions, and the Core section also had 40 questions, along with 10 additional Mathematics questions included in the Core section.
Section 1 (Aptitude) was allotted 90 minutes, and Section 2 (Core + Maths) was also given 90 minutes.
Each correct answer carried 1 mark, and 0.25 marks were deducted for every incorrect answer.
Q1.) Which number is larger (7)³³ or (19)²² ?
Q2.) You have 10 stacks of 10 gold coins. Each coin weighs 10gm except 1 stack having all 9 gm coin. how many total measures required to find the stack with defective coin?
Q3.) Passage Reading and English Comprehension
Marie Curie was one of the most accomplished scientists in history. Together with her husband, Pierre, she discovered radium, an element widely used for treating cancer, and studied uranium and other radioactive substances. Pierre and Marie’s amicable collaboration later helped to unlock the secrets of the atom.
Marie was born in 1867 in Warsaw, Poland, where her father was a professor of physics. At an early age, she displayed a brilliant mind and a blithe personality. Her great exuberance for learning prompted her to continue with her studies after high school. She became disgruntled, however, when she learned that the university in Warsaw was closed to women. Determined to receive a higher education, she defiantly left Poland and in 1891 entered the Sorbonne, a French university, where she earned her master’s degree and doctorate in physics.
Marie was fortunate to have studied at the Sorbonne with some of the greatest scientists of her day, one of whom was Pierre Curie. Marie and Pierre were married in 1895 and spent many productive years working together in the physics laboratory. A short time after they discovered radium, Pierre was killed by a horse-drawn wagon in 1906. Marie was stunned by this horrible misfortune and endured heartbreaking anguish. Despondently she recalled their close relationship and the joy that they had shared in scientific research. The fact that she had two young daughters to raise by herself greatly increased her distress.
Curie’s feeling of desolation finally began to fade when she was asked to succeed her husband as a physics professor at the Sorbonne. She was the first woman to be given a professorship at the world-famous university. In 1911 she received the Nobel Prize in chemistry for isolating radium. Although Marie Curie eventually suffered a fatal illness from her long exposure to radium, she never became disillusioned about her work. Regardless of the consequences, she had dedicated herself to science and to revealing the mysteries of the physical world.
1.) The Curies’ _________ collaboration helped to unlock the secrets of the atom
(a) friendly
(b) competitive
c) courteous
(d) industrious
2.) Marie had a bright mind and a ______ personality
(a) strong
(b) lighthearted
© humorous
(d) strange
3.) When she learned that she could not attend the university in Warsaw, she felt _________
(a) hopeless
(b) annoyed
© depressed
(d) worried
4.) Marie _________ by leaving Poland and travelling to France to enter the Sorbonne
(a) challenged authority
(b) showed intelligence
© behaved
(d) was distressed
5.) Her _________ began to fade when she returned to the Sorbonne to succeed her husband
(a) misfortune
(b) anger
© wretchedness
(d) disappointment
Q4.) Passage: Research and Integrity in Indian Academia
In a speech delivered at the Chinese Academy of Social Sciences in Beijing on January 15, 2008, former Indian Prime Minister Dr. Manmohan Singh underscored the pivotal role of research and innovation in national development. He emphasized the importance of collaborative efforts between India and China in developing clean and energy-efficient technologies through joint research initiatives. Dr. Singh highlighted that such cooperation could significantly contribute to building peace, security, and stability in the region. mea.gov.in
However, the pursuit of academic excellence in India has occasionally been marred by instances of plagiarism. A notable case involved a professor of chemistry at Sri Venkateswara University, who was charged with plagiarizing over 70 research publications. The university’s executive council took stringent action by expelling the professor, underscoring the institution’s commitment to upholding academic integrity. Studocu
These contrasting narratives highlight the dual challenges faced by Indian academia: the aspiration to foster world-class research and the imperative to maintain ethical standards. While leaders advocate for innovation and collaboration, ensuring integrity within academic circles remains a pressing concern.
Passage: Research and Integrity in Indian Academia
In a speech delivered at the Chinese Academy of Social Sciences in Beijing on January 15, 2008, former Indian Prime Minister Dr. Manmohan Singh underscored the pivotal role of research and innovation in national development. He emphasized the importance of collaborative efforts between India and China in developing clean and energy-efficient technologies through joint research initiatives. Dr. Singh highlighted that such cooperation could significantly contribute to building peace, security, and stability in the region. mea.gov.in
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However, the pursuit of academic excellence in India has occasionally been marred by instances of plagiarism. A notable case involved a professor of chemistry at Sri Venkateswara University, who was charged with plagiarizing over 70 research publications. The university's executive council took stringent action by expelling the professor, underscoring the institution's commitment to upholding academic integrity. Studocu
These contrasting narratives highlight the dual challenges faced by Indian academia: the aspiration to foster world-class research and the imperative to maintain ethical standards. While leaders advocate for innovation and collaboration, ensuring integrity within academic circles remains a pressing concern.
Q5.) Asked about which is not valid Huffman code?
Q6.) A cube with side as 12cm is painted using Red colur on 2 opposite side and blue colur using another opposite side pair and one face of remaining face with black colour then cut into 1 cm cubes. how many 1cm cube with 2 face coloured?
Q7.) three points A,B,C. Travelling from A to B is equal to travelling from A to C. Travelling from B to C only and travel from C to A only. We started from A then how many ways to travel to c without retraversal of A.
Q8.) Laplace Transform of f(x) = x+3?
Q9.) Two person(let T and J) of same 60kg weight, T has 40cm more height than J. Both walks on a roop , weight on their ankle is 1kg. then what will be relation between the distance they cover?
Q10.)which condition of the following is no deadlock condition?
Q11.) matric given and asked maximum value of determiment of matrix?
1 _______1 ________1
1 _____1+cos_______1
1_______1_______1 +sin
Q12.) area of yellow portion when radius of circle given
Q13.) Time complexity of merging two min heap?
Q14.) Time taken for n insertion in heap?
Q15.) Time complexity to find power of a number and pow() function not to be used then time complexity of (X)^n?
Q16.) you have 25 red ball and 25 white balls then 2 balls are taken randomly(with replacement) then probability of selecting same colour balls?
Q17.) a relation R(A,B,C,D) given and Fd’s given then asked R is in which normal form?
Q18.) matrix given and asked rank of matrix?
2____-3_____6
-4____6_____-12Q19.) one serializability question where two scheduler given .
Q20.) A and B playing tennis with each other they got $1 for bet. A won $3 and B won $2 then how many matches they played?
Q21.) 49¹⁵ -1 is completely divisible by a) 48 b) 8 c) 50 d) 31
Q22.) How many solutions for x²-3y²=1?
Q23.) e^(dy/dx) = (x+1) then y(1)=?
Q24.) slope of two line passing through (3,4) then which will be equation of lines?
Q25.) question on comparison of ring counter and johnson counter and synchronous counter.
26.) output freuency asked for sunchronous counter and some details given in question to solve it
27.) a prims directed graph for G’ given and asked the cost for S to T ?( structure was somewhat same but with direction and edge weight could vary)
Q28.) Gaussian distribution question was also asked.
Q29.) mode and statics question
Q30.) Max subnets = ?? when Subnet mask=255.255.255.224
Q31.) matrix given and sum of eigen value asked
Q32.) a process with PID=217. The process was requesting for an exec() call. The what will be PID?
Q33.)one LED string works question
Q34.) which of the following is not stable sorting?
Thank you for reading. Wishing you all the best for your upcoming exams!
