1. Verbal Reasoning
Q. obscene : coarse :: obtuse : stupid
Answer: stupid
Q. diamond : baseball :: court : squash
Answer: squash
Q. quixotic : pragmatic :: murky : clear
Answer: clear
Q. smear : libel :: heed : consider
Answer: consider
Q. nymph : maiden :: seraphim : angel
Answer: maiden
Q. poetry : rhyme :: philosophy : theory
Answer: theory
Q. jibe : praise :: delude : enlighten
Answer: delude
Q. marshal : prisoner :: principal : student
Answer: student
Q. fecund : infertile :: slow : fleet
Answer: slow
Q. mend : sewing :: edit : manuscript
Answer: manuscript
Q. abet : bet :: alone : lone
Answer: bet
Q. 80 : 40 :: 2 : 1
Answer: 1
Q. piercing : siren :: hushed : whisper
Answer: siren
Q. segregate : unify :: repair : damage
Answer: damage
Q. congeal : solidify :: singe : char
Answer: singe
Q. opossum : marsupial :: monkey : primate
Answer: opossum
Q. principle : doctrine :: living : livelihood
Answer: livelihood
Q. ascent : climb :: recession : withdrawal
Answer: ascent
Q. myopic : farsighted :: famous : obscure
Answer: famous
2. Quantitative Reasoning
Q. Confidence level of 95% corresponds to a significance level of:
Answer: 0.05
Q. In a parallelogram, one angle is 120°. Adjacent angle?
Answer: 60 degrees
Q. Number multiplied by 7, divided by 4, result is 14. Number?
Answer: 8
Q. Which of the following is a polygon with six sides?
Answer: Hexagon
Q. Value of x in 3x + 7 = 22?
Answer: 5
Q. Sold two chairs at 1200 each. 20% gain on one, 20% loss on other. Net?
Answer: 4% loss
Q. What is the sum of prime numbers between 20 and 30?
Answer: 52
Q. Process of separation of solute and solvent from mixture is?
Answer: Filtration
Q. The word geometry means?
Answer: Measurement of the earth
Q. An angle = 90 degree is called:
Answer: Right angle
Q. If radius of a circle is 5 m, find diameter?
Answer: 10 meters
3. Statistics
Q. Amount initially deposited or borrowed is called?
Answer: Principal
Q. Interest equal to P × R × T is called?
Answer: Simple interest
Q. Compound interest is always?
Answer: More than simple interest
Q. Formula for interest is?
Answer: Principal × Rate × Time
Q. Farmer took Rs 15,000 loan at 8% for 3 years. Interest paid?
Answer: Rs 3600
Q. Revenue = Rs 5000 and cost = Rs 3500. Profit is?
Answer: Rs 1500
Q. If selling price is Rs 150 and COGS Rs 80, gross profit is?
Answer: Rs 70
Q. Gross profit formula is?
Answer: Revenue − COGS
Q. If COGS = Rs 120 and gross profit = Rs 80, selling price is?
Answer: Rs 200
Q. Profit margin formula is?
Answer: (Net Income / Revenue) × 100
Q. ROI stands for?
Answer: Return on Investment
Q. ROI formula is?
Answer: (Net Income / Initial Investment) × 100
Q. IRR stands for?
Answer: Internal Rate of Return
Q. NPV stands for?
Answer: Net Present Value
Q. ROA measures?
Answer: Asset efficiency in generating profit
Q. Method equating cash inflows and outflows is?
Answer: IRR
Q. If actual cost high and earned value low, project is?
Answer: Over budget and behind schedule
Q. Financial year profit after expenses is called?
Answer: Net income
Q. Cost of goods sold is abbreviated as?
Answer: COGS
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
4. Computer Science
Q. Which of the following cannot be inserted from Insert > Picture in MS Word?
Answer: Graph
Q. In MS Word 2016, which shortcut key is used for Paste Special?
Answer: CTRL + ALT + V
Q. Layout of handout defines _____?
Answer: Handout Master
Q. Headers and footers can include text and graphics, as well as the _____?
Answer: All of the above (Page number, Date, and Time)
Q. In MS Word, what is the default alignment for a paragraph?
Answer: Left alignment
Q. The first cell in an EXCEL worksheet is labeled as ____?
Answer: A1
Q. Which of following is not a type of page margin?
Answer: Center
Q. What does the Ctrl + = shortcut key do?
Answer: Subscript
Q. In MS Word, Portrait and Landscape are _______?
Answer: Page Orientation
Q. HTML is an abbreviation for _____?
Answer: Hypertext Markup Language
Q. What type of operating system is MS-DOS?
Answer: Command Line Interface (CLI)
Q. Which of the following are the components of the Central Processing Unit (CPU)?
Answer: Arithmetic logic unit (ALU) and Control unit (CU)
Q. Which function displays row data in a column and column data in a row?
Answer: Transpose
Q. A Red wavy line in MS Word indicates that _____?
Answer: Misspelled word/Spelling Error
5. Mathematics
Q: Evaluate ∫₀^∞ 1/(x−3)^(7/3) dx
A:
یہ integral x=3 پر undefined ہے
Answer: Divergent
Q: Reduce BVP to Fredholm integral equation
A: y(x) = ∫₀¹ G(x,t)(1 − ty(t)) dt
Q: Find Lagrange interpolation polynomial
A: Final polynomial:
P(x) = x³ − x² − x + 1
Q: Solve dy/dx + y = x²y²
ASubstitute: v = 1/y
⇒ dv/dx − v = -x²
Solution:
v = eˣ(∫ -x² e⁻ˣ dx + C)
Q: Find asymptote of
2xy + 2y = (x−2)²
A: Asymptote:
y = x/2 − 1
Q: Solve
(1 − x²) dy/dx − 2xy = 0
A: y = C/(1 − x²)
Q: Solve PDE
∂²u/∂x² = 16 ∂u/∂t
A: u = Σ e^(-16n²t) sin(nx)
A: Evaluate ∫₀^∞ e⁻³ˣ dx
A: = 1/3
Q: Distance between (4,−2) and line 3x+4y−6=0
A: d = 2/5
A man has 42 blue socks, 15 red socks, 24 black socks in one box. It is totally dark and he cannot recognize the colors. How many socks does he have to take out of the box to be sure to have at least two black socks?
Answer: 59
Solution:
Worst case, he picks all blue and red socks first: 42 + 15 = 59.
To get at least 2 black socks, he needs 42 + 15 + 2 = 59 socks.
At a conference, 10 members shook hands with each other before the meeting. How many handshakes occurred?
Answer: 45
Solution:
Number of handshakes = n(n-1)/2 = 10×9/2 = 45.
If x/4 = y/2, then?
Answer: x = 2y
Solution: Multiply both sides by 4: x = 2y.
50 miles is equal to how many kilometers?
Answer: 80 km
Solution: 1 mile ≈ 1.6 km → 50×1.6 = 80 km.
A drink contains 20% mango juice and the rest is apple juice. What is the ratio of mango juice to apple juice?
Answer: 1:4
Solution: Mango juice = 20%, Apple juice = 80% → Ratio = 20:80 = 1:4.
How many zeros are there in 1 billion?
Answer: 9
Solution: 1 billion = 1,000,000,000 → 9 zeros.
The day after the day after tomorrow is four days before Monday. What day is it today?
Answer: Tuesday
Solution:” Four days before Monday” is Thursday. That day is the day after the day after tomorrow. So, if the day after the day after tomorrow is Thursday, today must be Tuesday.
What is the smallest number of ducks that could swim in this formation: two ducks in front of a duck, two ducks behind a duck, and a duck between two ducks?
Answer: 3
Solution: Place 3 ducks: middle duck has 2 in front and 2 behind in the formation → minimum 3 ducks.
Aslam has 1.5 times as many as Akram, and Akram has 1.5 times as many as Abdul. Altogether they have 76. How many does each have?
Answer: Aslam 36, Akram 24, Abdul 16
Solution: Let Abdul = x → Akram = 1.5x, Aslam = 1.5×1.5x = 2.25x → x + 1.5x + 2.25x = 76 → 4.75x = 76 → x = 16 → Akram = 24, Aslam = 36.
Which of the following can be arranged into a 5-letter English word: H R G S T, R I L S A, T O O M B D, W Q R G S?
Answer: R I L S A → ARILS
Solution: Letters R I L S A can form the word ARILS.
PEACH is to HCAEP. The number 26541 should be?
Answer: 14562
Solution: Number order follows reverse of letters. PEACH → HCAEP → 2→1 becomes 1→4→5→6→2 = 14562.
If 3z/2 + 4z/2 + 5z/2 = 36, what is the value of z?
Answer: 6
Solution: Sum = (3+4+5)z/2 = 12z/2 = 6z → 6z = 36 → z = 6.
Find the missing letter: A, D, H, M, S, ____?
Answer: Z
Solution: Differences in alphabet positions: A→D (+3), D→H (+4), H→M (+5), M→S (+6), next = S +7 → Z.
If the length of a square-shaped crop field is 31 meters, what will be its perimeter?
Answer: 124 meters
Solution: Perimeter = 4×side = 4×31 = 124 meters.
A person washes 8 cars in 18 minutes. At this rate, how many cars can he wash in 3 hours?
Answer: 80
Solution: 3 hours = 180 minutes. Rate = 8/18 cars per min → Cars in 180 min = 8/18×180 = 80 cars.
×