Change the voice: Let us play together. Answer: It is suggested that we should play together.
Idiom: “donkey years” means ______? Answer: Very long period
I have been staying in this hotel _____ three days. Answer: For
The Synonym of Harmony is? Answer: Both A and B (Consistency and Symmetry)
Several ducks had dark green heads. Here ‘Several’ is an example of ______? Answer: Adjective
____ of locusts attacked the crops. Answer: Swarm
The Plural of Goose is? Answer: Geese
Running fast they caught the last bus. Here ‘Running fast’ is an example of ______? Answer: Adjective phrase
Change the narration: Shahid’s brother said to him, “Please wait for me.” Answer: Shahid’s brother requested him to wait for him.
The Antonym of Denounce is? Answer: Both A and B (Defend and Commend)
Choose the correct spelling: Answer: Exercise
Select the correctly spelled word: Answer: Accumulate
The Synonym of Artificial is? Answer: Both A and B (Man Made and Unreal)
Vanity is often noticeable in a great leader. Here synonym of Noticeable is? Answer: Both A and B (Visible and Prominent)
God helps those who help ________? Answer: Themselves
Look at the picture _____ the wall. Answer: On
Change the narration: He said to me, “I was ill”. Answer: He told me that he had been ill.
The hero of the novel “The Prisoner of Zenda” is ______? Answer: Rudolf Rassendyl
Choose the correct spelling: Answer: Riddle
The fire alarm rang ________ yesterday’s meeting. Answer: During
The Antonym of Hypocritical is? Answer: Sincere
The Antonym of Accept is? Answer: Both B and C (Reject and Refuse)
The poem “The Solitary Reaper” is composed by _____? Answer: William Wordsworth
Part-I: Teaching Methodology
What is the process of putting information into the memory? Answer: Encoding
Which system involves the teacher, student, and environment as a 3D process? Answer: Social Education System
Which group technique is used to create many new ideas to solve a problem? Answer: Brainstorming
What term refers to changes in the way a person thinks? Answer: Cognition
Which organization controls and regulates universities in Pakistan? Answer: Higher Education Commission (HEC)
Which strategy is used to make students more active in class? Answer: Creating active classroom
Who introduced the “Laws of Learning”? Answer: Edward Thorndike
What is the first step in developing a curriculum? Answer: Identifying issues/problems (Need analysis)
What kind of tests are GRE, SAT, and IELTS? Answer: Standardized tests
Which objectives translate big goals into specific actions? Answer: Tactical Objectives
What do we call a group of individuals living together as a distinct group? Answer: Organization
Who is known as the father of activity-based curriculum? Answer: John Dewey
What is the process of changing existing mental ideas (schemas) called? Answer: Accommodation
What is the main job of a school counselor? Answer: Creating a positive environment
What type of reinforcement happens in a previously conditioned organism? Answer: Negative reinforcement
What is the process of giving numbers to a performance called? Answer: Measurement
Which concept gives a purpose to teaching and helps discuss success or failure? Answer: Aims
Besides research, what else is essential for improving a curriculum? Answer: Periodic evaluation
What is it called when you collect feedback to see if a course was successful? Answer: Course Evaluation
What is the nature of an assessment? Answer: Qualitative
What is an assessment done before teaching to set a baseline called? Answer: Pre-assessment
Which approach asks groups of students to solve unstructured, hard problems? Answer: Problem-Based Learning
Which conditioning sees behavior as a result of external triggers? Answer: Operant and Classical Conditioning
Which method ensures every student gets equal guidance opportunities? Answer: Group guidance
If a teacher comments on a certain criterion while assessing students, the test is called…? Answer: Formative test
Part – II 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.
There are 100 boys and 900 girls in a school. 50% of boys and 40% of girls are present. Total number of students present?
Answer: 410
Solution: Boys present = 50% of 100 = 50, Girls present = 40% of 900 = 360 → Total = 50+360 = 410.
My mother is the sister of your brother. What relation am I to you?
Answer: Nephew
Solution: Mother is sister of your brother → You are her nephew.
25 is 125% of what number?
Answer: 20
Solution: 125% of x = 25 → x = 25×100/125 = 20.
What is the total cost if a Rs. 40 item is taxed at 5%?
Answer: 42
Solution: Tax = 5% of 40 = 2 → Total cost = 40+2=42.
The average of first 10 odd numbers is?
Answer: 10
Solution: First 10 odd numbers: 1,3,5,…,19 → Sum = 100 → Average = 100/10 = 10.
CAACCAC is to 3113313 as CACAACAC is to?
Answer: 31311313
Solution: C=3, A=1, map each letter accordingly.
If a right-angled triangle has legs of length 6 cm and 8 cm, the hypotenuse?
Solution: Interval notation for numbers between −2 and 7.
A is B’s sister, C is B’s mother, D is C’s father, E is D’s mother. How is A related to D?
Answer: Granddaughter
Solution: D→C→B→A → A is granddaughter of D.
Express 15 as percentage of 60?
Answer: 25%
Solution: 15/60×100 =25%.
Ali is very hungry, his stomach is completely empty. He has many cookies and eats one by one. How many cookies can Ali eat in his completely empty stomach?
Solution:
When the stomach is completely empty, he can eat only one cookie.
After eating one, his stomach is no longer empty, so the condition is met only for the first cookie.
