FGEI ELEMENTARY SCHOOL TEACHER EST PAST PAPER 23 FEB 2025 PDF

The correct answer is 8-Mar, which represents a probability of 3/8. To calculate the probability of a specific letter in a word, you divide the number of times that letter appears by the total number of letters in the word. In the word "MUHAMMAD":

• The total number of letters is 8.
• The letter 'M' appears 3 times.

Therefore, the probability of the letter 'M' is 3 (favorable outcomes) divided by 8 (total outcomes), which is 3/8. The other options would correspond to different counts of the letter 'M', which are incorrect for this specific word.

The correct answer is the Pamir Knot. The Pamir Knot is a crucial orographic junction in Central Asia where several of the world's highest and most significant mountain ranges converge. These include the Karakoram, Hindu Kush, and Himalayan ranges, along with the Tian Shan and Kunlun mountains. It is a geographically vital region often referred to as the "Roof of the World." The Everest Summit is a single peak, the Tibetan Plateau is a vast high-altitude region, and the Khyber Pass is a specific mountain pass, none of which represent the convergence point of these major mountain systems.

When light undergoes refraction, it passes from one medium to another, causing its speed and direction to change. This change in speed also affects its wavelength, as speed (v) is directly proportional to wavelength (λ) when frequency (f) is constant (v = fλ). However, the frequency of light is determined by its source and remains constant regardless of the medium it travels through. Therefore, frequency does not change during refraction. Amplitude, which relates to the intensity of light, can change due to energy loss or reflection at the interface, but it is not the fundamental constant like frequency.

The Mangla Dam is a crucial multipurpose dam located on the River Jhelum. Its precise geographical location is within the Mirpur District of Azad Jammu & Kashmir (AJ&K). This dam plays a vital role in Pakistan's water and power infrastructure, providing irrigation, flood control, and hydroelectric power generation. The other options, such as Haripur District or Muzaffarabad District, are incorrect as they do not correspond to the actual site of the Mangla Dam.

The Constitution of 1962 was promulgated by President Ayub Khan in Pakistan. This constitution established a presidential system of government. However, due to widespread political unrest and a deteriorating law and order situation, it was eventually abrogated. The correct date for its abrogation is 25th March 1969, when General Yahya Khan took over power and imposed martial law, marking a significant turning point in Pakistan's political history. The other dates provided are historically inaccurate for this event.

The word "Placate" means to make someone less angry or hostile; to appease or calm. Among the given options, "Pacify" is the most accurate synonym, as it means to quell the anger, agitation, or excitement of someone, bringing them to a state of peace or calm. In contrast, "Rouse" means to awaken or provoke, which is an antonym. "Harass" means to subject to aggressive pressure or intimidation, which is unrelated to placating someone.

To solve the expression 18 - 6 / 2 + 4 * 3, we must follow the order of operations, often remembered by the acronym PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division from left to right, Addition and Subtraction from left to right).

• First, perform division: 6 / 2 = 3.
• Next, perform multiplication: 4 * 3 = 12.
• The expression becomes: 18 - 3 + 12.
• Then, perform subtraction: 18 - 3 = 15.
• Finally, perform addition: 15 + 12 = 27.

Therefore, the correct answer is 27.

Hypothalamus (Option A) is the correct answer because it acts as the body\'s thermoregulatory center. It monitors body temperature and maintains homeostasis by triggering responses such as sweating, shivering, and changes in blood vessel diameter. The Cerebrum (Option B) is responsible for higher cognitive functions, memory, and voluntary movements. The Medulla oblongata (Option C) controls vital involuntary functions such as breathing, heart rate, and blood pressure. The Cerebellum (Option D) coordinates balance, posture, and voluntary muscle movements. Therefore, the hypothalamus is the part of the brain responsible for regulating body temperature.

Carbon dating is a radiometric dating method that uses the naturally occurring radioisotope carbon-14 (14C) to determine the age of carbonaceous materials up to about 50,000 to 60,000 years old. It is widely used in archaeology and geology to find the age of organic artifacts and fossils. Therefore, Finding the age (Option B) is the correct application. Options A, C, and D describe unrelated processes: collecting carbon, hardening diamonds, or melting steel, none of which are the purpose of carbon dating.

The number series 1, 8, 4, 27, 9, ______ follows an alternating pattern of squares and cubes. The numbers in the odd positions (1st, 3rd, 5th) are squares: 1 (1²), 4 (2²), 9 (3²). The numbers in the even positions (2nd, 4th) are cubes: 8 (2³), 27 (3³). Following this pattern, the next number in the series, which is in the 6th position, should be the next cube, which is 4³. Therefore, 64 (Option A) is the correct answer. Options B and C do not follow the established pattern.

The word 'plausible' means seeming reasonable or probable. To find its antonym, we need a word that means the opposite. Unlikely (Option A) means not probable or not expected to happen, making it the direct antonym of plausible. Feasible (Option B) is a synonym or similar in meaning to plausible, as it means possible to do easily or conveniently. Fantastic (Option C) means extravagantly fanciful, unrealistic, or excellent, which is not a direct opposite of plausible in terms of probability. Thus, 'unlikely' is the best antonym.

The electromagnetic spectrum arranges different types of radiation by wavelength and energy. There is an inverse relationship between wavelength and energy: shorter wavelengths correspond to higher energy. Among the given options, Gamma rays (Option B) are at the highest energy and shortest wavelength end of the electromagnetic spectrum. Ultraviolet rays (Option A) have higher energy than visible light but less than X-rays and gamma rays. X-rays (Option C) have higher energy than UV rays but less than gamma rays. Therefore, gamma rays possess the shortest wavelength and highest energy.

The foundational concept here is the definition of a logarithm. A logarithm answers the question: "To what power must the base be raised to get the number?" Mathematically, if logb(x) = y, then by = x.

B) 1 is the correct answer. When the number and the base are the same, for example, loga(a), we are asking what power 'a' must be raised to in order to get 'a'. The answer is always 1, because a1 = a.

A) 10 is incorrect; this is the base for common logarithms, not a general rule. C) -1 is incorrect; a-1 = 1/a, not 'a'. D) None of these is false because 1 is the correct answer.

Progressive education is a pedagogical movement that began in the late 19th century, emphasizing learning through experience and active engagement rather than rote memorization or passive reception of information. Key figures like John Dewey advocated for a child-centered approach.

C) Doing is the correct answer. Progressive education strongly emphasizes hands-on activities, problem-solving, projects, and real-world experiences. This approach believes that students learn best by actively participating in their education, fostering critical thinking and practical skills.

A) Reading and B) Writing are traditional learning methods, but progressive education integrates them within active contexts rather than making them the sole focus. D) Enjoying is a positive outcome of effective learning, but it is not the primary method or emphasis of progressive education itself.

Literary devices are techniques used by writers to create specific effects or meanings. Personification is a figure of speech that attributes human qualities, characteristics, or actions to inanimate objects or animals.

• Correct Option C: Personification. The phrase "Mice dancing and singing whole night" attributes human actions (dancing and singing) to mice, which cannot perform these actions.
• Option A: Metaphor is a direct comparison between two unlike things without using "like" or "as."
• Option B: Simile is a comparison between two unlike things using "like" or "as."
• Option D: Hyperbole is an exaggeration for emphasis or effect. While the actions are unrealistic, the primary device is attributing human traits, not just exaggeration.

A unit cell is the smallest repeating unit in a crystal lattice. In a face-centered cubic (FCC) unit cell, atoms are located at each corner and in the center of each face.

• Each of the 8 corner atoms contributes 1/8 to the unit cell (8 * 1/8 = 1 atom).
• Each of the 6 face-centered atoms contributes 1/2 to the unit cell (6 * 1/2 = 3 atoms).
• Correct Option B: 4. The total number of atoms per unit cell in an FCC structure is 1 (from corners) + 3 (from faces) = 4 atoms.
• Option A: 2 is the number of atoms in a body-centered cubic (BCC) unit cell.
• Option C: 6 is incorrect; it represents the number of face-centered atoms, not the total.
• Option D: 8 is the number of corner atoms, but each only contributes a fraction.

The perimeter of a rectangle is calculated using the formula P = 2 * (length + breadth). We are given the perimeter (P = 50 cm) and the length (L = 15 cm), and we need to find the breadth (B).

• Substitute the given values: 50 = 2 * (15 + B).
• Divide by 2: 25 = 15 + B.
• Subtract 15 from both sides: B = 25 - 15.
• Correct Option A: 10. The breadth is 10 cm.
• Option B: 12 would result in a perimeter of 54 cm.
• Option C: 8 would result in a perimeter of 46 cm.
• Option D: 7 would result in a perimeter of 44 cm.

A linear equation in two variables, typically written in the form Ax + By = C, represents a fundamental concept in algebra and geometry. When graphed on a Cartesian coordinate system, all points (x, y) that satisfy such an equation lie on a single, continuous straight line. This is the defining characteristic of linearity in two dimensions.

• Straight line is correct because the term 'linear' directly refers to this graphical representation.
• Triangle and Quadrilateral are geometric shapes formed by multiple line segments, often defined by systems of linear inequalities or multiple equations, not a single linear equation.
• Curve refers to non-linear relationships, which would be represented by equations with variables raised to powers other than one (e.g., x², y³) or involving trigonometric/exponential functions.

Understanding international trade patterns is crucial for economic analysis. For Pakistan, Copper and copper ore represent a significant primary import commodity from various African nations. This import is vital for Pakistan's industrial sector, particularly in manufacturing and infrastructure development, where copper is used extensively for electrical wiring, plumbing, and various alloys.

• Copper is the correct answer, reflecting the actual trade data and industrial needs of Pakistan.
• Gold and Diamond, while valuable resources found in Africa, are typically not primary bulk import commodities for Pakistan in the same volume or value as industrial raw materials like copper.
• Iron Ore is also an important commodity, but copper often holds a more prominent position as a primary import from Africa for Pakistan's specific industrial requirements.

The concept of a 'gateway' refers to a strategic location facilitating access or passage to a region. Peshawar, a historic city in Pakistan, has long been recognized as the gateway to Central Asia due to its geographical position at the eastern end of the Khyber Pass. This pass has historically been a crucial trade route, military passage, and cultural conduit connecting the Indian subcontinent with Central Asia.

• Peshawar is correct due to its historical and geographical significance as the primary land route to Central Asia.
• Quetta is important for trade with Afghanistan and Iran but is not traditionally considered the main gateway to Central Asia.
• Lahore is a major cultural and economic hub in Pakistan but is geographically further from the Central Asian routes.
• Gwadar is a port city on the Arabian Sea, serving as a maritime gateway, not a land gateway to Central Asia.

International Education Day is an annual observance by the United Nations to highlight the role of education for peace and development. Each year, a specific theme is chosen to focus global attention on a particular aspect of education's importance. For 2024, the theme emphasizes education's critical role in fostering global harmony.

• The correct theme for International Education Day 2024 is Learning for Lasting Peace. This theme underscores the transformative power of education in promoting mutual understanding, tolerance, and sustainable peace in a world facing increasing challenges.
• The other options, while related to education's benefits, were not the officially declared theme for 2024.

In a Cartesian coordinate system, the distance of a point (x, y) from the x-axis is given by the absolute value of its y-coordinate, |y|. Similarly, the distance of the point from the y-axis is given by the absolute value of its x-coordinate, |x|. To find the minimum distance, we compare these two values.

• For the point (3, 5):
• Distance from the x-axis = |5| = 5 units.
• Distance from the y-axis = |3| = 3 units.
• Since 3 is less than 5, the point (3, 5) is at a minimum distance from the y-axis.
• The Origin (0,0) is at a distance of sqrt(3² + 5²) = sqrt(34) ≈ 5.83 units, which is greater.
• Therefore, Both a and b is incorrect as the distances are not equal.

The correct answer is functional curriculum. A functional curriculum focuses on teaching practical, real-world skills that students need for daily living and independence, directly applying knowledge to everyday situations. This approach emphasizes life skills over purely academic subjects, making it highly relevant for practical application.

• Core curriculum refers to a set of essential courses required for all students, not specifically focused on practical application.
• Hidden curriculum encompasses the unwritten rules, values, and perspectives students learn implicitly in school.
• Spiral curriculum involves revisiting topics at increasing levels of complexity over time, which is a pedagogical approach rather than a focus on practical application.

The correct answer is 20. If the ratio of two numbers is 3:2, we can represent them as 3x and 2x. Their sum is 50, so 3x + 2x = 50. This simplifies to 5x = 50, meaning x = 10. The two numbers are then 3 * 10 = 30 and 2 * 10 = 20. The smaller number is 20.

• 30 is the larger number.
• 25 would be the result if the numbers were equal (25+25=50), which contradicts the 3:2 ratio.
• 10 is the value of 'x', not one of the numbers themselves.

To identify the shape, we need to analyze the properties of the lines formed by the given coordinates: A=(5,-2), B=(7,0), C=(1,-2), and D=(-1,0). A key property for quadrilaterals is parallelism of sides, determined by their slopes.

D) Trapezium is the correct answer. A trapezium (or trapezoid) is a quadrilateral with at least one pair of parallel sides. Let's calculate slopes: The line connecting A(5,-2) and C(1,-2) has a slope of ((-2)-(-2))/(1-5) = 0/-4 = 0. The line connecting B(7,0) and D(-1,0) has a slope of (0-0)/(-1-7) = 0/-8 = 0. Since both lines have a slope of 0, they are parallel. The other two sides are not parallel, confirming it's a trapezium.

A) Parallelogram requires two pairs of parallel sides. B) Kite requires two distinct pairs of equal-length adjacent sides. C) Square requires four equal sides and four right angles.