General Science (PU-GS) Model Past Paper 2020 PDF

1. Verbal Reasoning

Q. kitten : ______ :: soldier : army
Answer: litter
Q. cord : telephone :: ______ : television
Answer: screen
Q. cub : bear :: joey : ______
Answer: kangaroo
Q. fern : plant :: ______ : fish
Answer: minnow
Q. ______ : wrist :: belt : waist
Answer: bracelet
Q. shark : ______ :: slug : land
Answer: ocean
Q. hangar : airplane :: garage : ______
Answer: automobile
Q. ramp : highway :: ______ : house
Answer: door
Q. hint : ______ :: whisper : shout
Answer: demand
Q. dog : kennel :: bird : ______
Answer: aerie
Q. ______ : codes :: ornithology : birds
Answer: cryptography
Q. ______ : poem :: fable : story
Answer: haiku
Q. jetty : ______ :: bouquet : flowers
Answer: rocks
Q. spoke : ______ :: word : sentence
Answer: wheel
Q. secret : furtive :: audible : ______
Answer: resonant

2. Quantitative Reasoning

Q. Average speed of two cars (300km in 3h 20m and 280km in 3h 20m)?
Answer: 87.1 km/h
Q. If sin(60° + X) = cos(30°), then the value of X is:
Answer: 0°
Q. If x + y = 6 and xy = 5, then x² + y² is?
Answer: 26
Q. Which of the following is an arithmetic sequence?
Answer: 31, 32, 33, 34
Q. Which of the following is irrational?
Answer: √11
Q. Which of the following is not a valid type of root in a quadratic equation?
Answer: Cubic
Q. What is the value of 180 degrees in radians?
Answer: π
Q. What type of roots does the equation x² + 4 = 0 have?
Answer: Imaginary
Q. If abc = a² and ac = 2, what is the value of b?
Answer: a/2
Q. If 2ᵃ · 2ᵇ = 3ᶜ, what is the value of (a+b)/c?
Answer: Undefined

3. Economics

Q. Which body of people is sometimes referred to as ‘The Fourth Estate’?
Answer: The Press
Q. A firm buys goods on credit, which document does the firm use to report this?
Answer: Purchase invoice
Q. When did the Great Depression begin?
Answer: 1929
Q. Total output produced in a country by its own resources as well as foreign resources called ____?
Answer: GDP (Gross Domestic Product)
Q. The World Trade Organization warned that escalating tariff imposition could lead to what potential decline in U.S.–China goods trade?
Answer: 50%
Q. Which company on 25th January 2024, reached a market value of a record $3 trillion?
Answer: Microsoft
Q. Free market and private ownership are features of which economic system?
Answer: Capitalism
Q. Countries trade with each other because ______?
Answer: To get goods and services they do not produce
Q. Australia is facing a bad situation despite being politically stable. What is the reason?
Answer: Poor GDP growth
Q. Which European country received funds for managing its affairs?
Answer: Poland
Q. Which is the second largest economy of the world?
Answer: China
Q. US imposed $60 billion tariff on which country?
Answer: China
Q. The biggest export market of Pakistan is _____?
Answer: USA
Q. Which of the following is a cheapest source for cargo and transportation?
Answer: Water Transport
Q. _______ are small scale industries and they need low capital.
Answer: Cottage industries
Q. In a consumption function C = a + bY, Y is called independent variable.
Answer: True
Q. Progressive tax rates means a larger fraction of income is taken in the form of taxes as income increases.
Answer: True
Q. A market demand curve can always be found by adding horizontally the demand curves of all buyers.
Answer: True
Q. Goods are scarce because society’s desire for them exceeds society’s ability to produce them.
Answer: True
Q. Specialization of labour means that?
Answer: Different tasks are allocated to different people

4. Statistics

Q. The error of rejecting the null hypothesis when it is true is known as?
Answer: Type-I error
Q. To find the average speed of a journey, which is the appropriate measure of central tendency?
Answer: Harmonic Mean
Q. If K denotes the degree of freedom, then the variance of Chi-square distribution is?
Answer: 2k
Q. What is the difference between a sample statistic and the population parameter?
Answer: Sampling error
Q. Which of the following statements about the Central Limit Theorem (CLT) is correct?
Answer: The sampling distribution of sample mean is approximately normal for large samples
Q. Which of the following is the correct statement regarding the coefficient of correlation?
Answer: It is independent of both the scale and origin
Q. Shahid receives a bonus of Rs. 50 for every Rs. 500 worth of merchandise he sells. Therefore the percentage (%) of his bonus is:
Answer: 10%
Q. Which does not deal with central quantity?
Answer: Range
Q. Which one detects a repeating number?
Answer: Mode
Q. To find the median, should the order be?
Answer: Both ascending or descending
Q. What is the median of the given set: 8, 5, 7, 5, 9, 9, 1, 8, 10, 5, 10?
Answer: 8
Q. A set of investments in Stock Market is called?
Answer: Portfolio
Q. Which of the following is a vector quantity?
Answer: None of these
Q. If the initial investment for a project is Rs 80,000, and discounted cash inflows are Rs 30,000 per year for three years, what is the IRR?
Answer: 10%
Q. A farmer invested Rs 10,000 in a new irrigation system. If the expected annual cash inflow is Rs 2,500 for five years, and the discount rate is 8%, what is the NPV?
Answer: -20
Q. If mode = 11 and mean = 12, median is?
Answer: 11.66
Q. If frequencies widely vary, best average is?
Answer: Weighted arithmetic mean
Q. A pattern multiplying constant each time is?
Answer: Geometric progression
Q. The set of all possible outcomes is called?
Answer: Sample space
Q. Two events with equal chance are called?
Answer: Equally likely events
Q. When die is rolled twice, sample points are?
Answer: 36
Q. Probability of red from 4 red, 5 blue, 1 green ball?
Answer: 4/10
Q. Probability of green after adding one green ball becomes?
Answer: 5/9
Q. Probability of getting head on coin is?
Answer: 0.50
Q. Result of (13 × 17) mod 5 is?
Answer: 1

5. Mathematics 

Q: Find the Fourier sine transformation for the function
f(x) = x e⁻ˣ
A: Formula:
Fₛ(s) = √(2/π) ∫₀^∞ x e⁻ˣ sin(sx) dx
Standard result استعمال کریں:
∫₀^∞ x e⁻ˣ sin(sx) dx = 2s / (1 + s²)²
 Final Answer:
Fₛ(s) = √(2/π) × (2s / (1 + s²)²)
Q: Find the Laplace transform of
f(t) = e⁻⁴ᵗ sin 3t
A: L{sin 3t} = 3 / (s² + 9)
Shift property:
L{e⁻⁴ᵗ sin 3t} = 3 / ((s + 4)² + 9)
Look at this series: V, VIII, XI, XIV, _____ XX. What number should fill the blank?
Answer: XVII
Steps: V=5, VIII=8, XI=11, XIV=14. Series increases by 3 each time. 14+3=17 → XVII.
 An Urdu class has 12 boys and 18 girls. Boys are what fraction of the class?
Answer: 2/5
Steps: Total students = 12+18=30. Fraction of boys = 12/30=2/5.
A figure whose all four sides are equal is called ____?
Answer: Square
Steps: All four sides equal → the shape is a square.
 The Zoo had some lions and some parrots. The supervisor counted 15 heads and 50 legs. How many lions are there?
Answer: 10
Steps: If all were parrots, legs = 15×2=30. Actual legs=50 → extra legs = 50−30=20. Each lion contributes 2 extra legs → 20/2=10 lions.
The age of Ashraf is 15 years, 10 months and the age of Akmal is 17 years, 5 months. Find the ratio between their ages?
Answer: 10:11
Steps: Ashraf = 15×12+10=190 months, Akmal =17×12+5=209 months. Ratio=190:209=10:11.
 3/4 + 5/8 – 1/2 =?
Answer: 0.875
Steps: Convert to same denominator 8: 3/4=6/8, 5/8=5/8, 1/2=4/8 → 6+5−4=7/8=0.875.
 12 men can do a piece of work in 10 days. How many men would be required to do the same work in 8 days?
Answer: 15
Steps: 12×10 = M×8 → M=120/8=15 men.
 Convert 2/5 into percentage?
Answer: 40%
Steps: 2/5 ×100=40%.
Complete the series: 0, 1, 3, 6, 10, ______?
Answer: 15
Steps: Add +1,+2,+3,+4,+5 → next=10+5=15.
Q360. Complete the series: 0, 1, 3, 6, 10, ______?
Answer: 15
Steps: Same as Q359.
A, B and C together earn Rs. 150 per day while A and C together earn Rs. 94 and B and C together earn Rs. 76. They daily earning of C is _____?
Answer: Rs. 20
Steps: (A+C)+(B+C)=94+76=170 → C=170−150=20.
 1 square foot is equal to ______?
Answer: 144 square inches
Steps: 1 foot =12 inches → area =12×12=144 sq in.
 Which number should come next in the pattern: 37, 34, 31, 28, _____?
Answer: 25
Steps: Series subtracts 3 each time → 28−3=25.
 Which of the following is divisible by 12?
Answer: 4404
Steps: 4404 ÷12=367 → divisible.
 If 100 Kg of meat is divided into packages of 4/7 kg each, the total number of packages will be ____?
Answer: 175
Steps: 100 ÷(4/7)=100×7/4=175.
There are 56 boys in a class of 140 students. What is the percentage of boys?
Answer: 40%
Steps: 56 ÷140 ×100=40%.
9 is 1/3% of what number?
Answer: 2700
Steps: 1/3% × X=9 → X=9×3×100=2700.
A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in ______ days if they work together.
Answer: 22.5 days
Steps: B=90 days, A=30 days → Together = (30×90)/(30+90)=2700/120=22.5 days.
What is 25% of 200?
Answer: 50
Steps: 25/100 ×200=50.
Complete the series: 2, 4, 6, 8, ______?
Answer: 10
Steps: Series +2 → 8+2=10.
 Complete the series: 1, 4, 9, 16, _____?
Answer: 25
Steps: Series of squares: 1²,2²,3²,4²,5²=25.
 18 is 75 percent of what number?
Answer: 24
Steps: 18 ÷0.75=24.
 30 % of 100 is equal to 3% of ____?
Answer: 1000
Steps: 30 ÷0.03=1000.
If 2^x =32, What is x^2 ?
Answer: 25
Steps: 2^5=32 → x=5 → x²=25.

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