Undergraduate Studies Admission Test (USAT-E)

Education Testing Council HEC Pakistan

Undergraduate Studies Admission Test (USAT-E) Having 12 years/ equivalent Education in Pre-Engineering

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Fani Warraich MATHEMATICS   -   Calculus

The solution set of the inequality |x + 4| ≥ 2 is

Fani Warraich MATHEMATICS   -   Algebra

Solve the equation 2/6 (3a + 2b) – 1/2 (2a + 4b) -2(12a – 6b)?

Shalisha Ladawn PHYSICS   -   Classical Mechanics

Electric displacement current through a surface S is by definition proportional to the

Shalisha Ladawn PHYSICS   -   Classical Mechanics

Classical mechanics explains how _______ moves.

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The number of degrees through which the hour hand of a clock moves in 2 hours and 12 minutes is

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A cylindrical container has a diameter of 14 inches and a height of 6 inches. Since one gallon equals 231 cubic inches, the capacity of the tank is approximately

The capacity of the tank is given by πr^2h = π(7^2)(6) = 923.628 cubic inches Since 1 gallon is equal to 231 cubic inches, the capacity of the tank in gallons is 923.628 / 231 = 3.998 gallons Which is approximately 4 gallons. So the answer is B.
Fani Warraich

4 gallons is the correct

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A train running between two towns arrives at its destination 10 minutes late when it goes 40 miles per hour and 16 minutes late when it goes 30 miles per hour. The distance between the two towns is

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If the base of a rectangle is increased by 30% and the altitude is decreased by 20% the area is increased by?

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If the sum of the edges of a cube is 48 inches, the volume of the cube is

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A certain triangle has sides, which are, respectively, 6 inches, 8 inches, and 10 inches long. A rectangle equal in area to that of the triangle has a width of 3 inches. The Perimeter of the rectangle, expressed in inches, is

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The cube of 1/3 is

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

In general, the sum of the squares of two numbers is greater than twice the product of the numbers. The pair of numbers for which this generalization is not valid is

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A piece of wire 132 inches long is bent successively in the shape of an equilateral triangle, a square, a regular hexagon, a circle. The plane surface of the largest area is included when the wire is bent into the shape of a

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If eggs are bought at 35 cents per dozen and sold at 3 for 10 cents the total profit on 5 1/2 dozen is?

Jamal Khan ENGLISH   -   Analogies

TIRADE: ABUSIVE

Jamal Khan ENGLISH   -   Analogies

REGIMENT: SOLDIER

Jamal Khan ENGLISH   -   Analogies

ASYLUM: SHELTER

Jamal Khan ENGLISH   -   Analogies

STATIC: MOVEMENT

Jamal Khan ENGLISH   -   Analogies

INTEREST: FASCINATE

Jamal Khan ENGLISH   -   Analogies

LAUREL: VICTOR

Jamal Khan ENGLISH   -   Analogies

PRECEDENT: JUSTIFICATION

Jamal Khan ENGLISH   -   Analogies

IMPLICATE: COMPLICATE

Jamal Khan ENGLISH   -   Analogies

PERMEATE: RUEFUL

Jamal Khan ENGLISH   -   Analogies

ENERVATE: STRENGTHEN

Bashir Farooqi ENGLISH   -   Sentence Structuring

Choose correct sentence

The subject here is ‘the best part’, which is singular and should therefore be followed by a singular verb
Bashir Farooqi ENGLISH   -   Sentence Structuring

Which one is correct

When using ‘as well as’ to introduce a complex subject, the phrase should be set off by commas, and the verb agrees with the main subject, which in this case is ‘the professor’.
Muhammad Tayyab Ikhlas ENGLISH   -   Sentence Structuring

Lahore ___________ a very hot climate.

Muhammad Tayyab Ikhlas ENGLISH   -   Sentence Structuring

One of the least effective ways of sorting information is learning ____ it.

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

HEIGHT: MOUNTAIN

Muhammad Tayyab Ikhlas ENGLISH   -   Sentence Structuring

OBLIVIOUS : AWARENESS

Muhammad Tayyab Ikhlas ENGLISH   -   Sentence Structuring

BELLWETHER : BAROMETER

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

ACT : ACTION

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

BIBULOUS : DRINK

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

SONG : RECITAL

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

HOUSE : BIG

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

ANIMAL : MONKEY

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

HEAVEY : LIGHT

Muhammad Tayyab Ikhlas ENGLISH   -   Antonyms

DETER

Muhammad Tayyab Ikhlas ENGLISH   -   Antonyms

INDIGENOUS

Muhammad Tayyab Ikhlas ENGLISH   -   Antonyms

THERAPEUTIC

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A piece of wood 35 feet, 6 inches long was used to make 4 shelves of equal length. The length of each shelf was

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The tiles in the floor of a kitchen are 15/16 inch squares. The cement between the tiles is 1/16 inch. There are 3240 individual tiles in this floor. The area of the floor is

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A man bought a TV set that was listed at Rs.160. He was given successive discounts of 20% and 10%. The price he paid was

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Mr. Younas ' income for a year is Rs.15,000. He pays 15% of this in federal taxes and 10% of the remainder in state taxes. How much is left?

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The radius of a circle which has a circumference equal to the perimeter of a hexagon whose sides are each 22 inches long is closest in length to which one of the following?

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If a, is a multiple of 5 and b = 5a, which of the following could be the value of a + b? I. 60 II. 100 III. 150

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Which of the following expressions has the greatest value?

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If (a + 3) / 5 is an integer, what is remainder when ‘a’ is divided by 5?

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The integral part of logarithm is called

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

On the y-axis, the x-coordinate is

Fani Warraich ENGLISH   -   Analogies

YAWN: BOREDOM ::

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

OBSTRUCTION : BUOY ::

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

CONCERT : MUSIC ::

Muhammad Tayyab Ikhlas ENGLISH   -   Analogies

TEAMMATE : ADVERSARY ::

Fani Warraich PHYSICS   -   Electromagnetism

The Net Magnetic flux from any closed surface is

This is because the net magnetic flux through any closed surface is always zero. This is known as Gauss's law for magnetism. It is a consequence of the fact that there are no magnetic monopoles, meaning that magnetic field lines always form closed loops.
Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall of size 8m x 6m x 22.5m ?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The profit earned by selling an article for Rs. 900 is double the loss incurred when the same article is sold for Rs. 490. At what price should the article be sold to make 25% profit?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

An air conditioner can cool the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at the same instance, then how long will it approximately take to cool the room?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

What should come in place of both the question marks in the equation: ? / √128 = √162 / ?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Kajol took loan from a bank at the rate of 12% p.a. simple interest. After 3 years, she had to pay PKR 5400 interest only for the period. The principal amount borrowed by her was:

We can use the following formula to calculate the simple interest: Simple Interest = (Principal * Rate * Time) / 100 Where: Principal is the amount of money borrowed. Rate is the interest rate per year. Time is the number of years the loan is borrowed for. We know that the simple interest is PKR 5400, the rate is 12% p.a., and the time is 3 years. We need to calculate the principal. Substituting the known values into the formula, we get: 5400 = (Principal * 12 * 3) / 100 Multiplying both sides of the equation by 100, we get: 540000 = Principal * 12 * 3 Dividing both sides of the equation by 12 * 3, we get: Principal = 540000 / (12 * 3) Principal = PKR 15000 Therefore, the principal amount borrowed by Kajol was PKR 15000.
Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Salaries of Conan and Jimmy are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Jimmy’s salary?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 9 hours after they passed each other, the ratio of the speeds of the two trains was:

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The sum of the squares of two numbers is 3341 and the difference of their squares is 891. The numbers are:

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class ?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If the price of a Harry Potter novel is first decreased by 25% and then increased by 20%, then the net change in the price will be :

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Shruti and Priya invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If Shruti invested Rs. 40,000, the amount invested by Priya is :

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Each of Tom's buckets has a capacity of 11 gallons, while each of Henry's buckets can hold 8 gallons. How much more water in gallons can 7 of Tom's bucket's hold compared to 7 of Henry's buckets?

Fani Warraich

Good

Fani Warraich

A

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Two integers have a sum of 42 and a difference of 22. The greater of the two integers is

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The average of five numbers is 34. If three of the numbers are 28, 30 and 32, what is the average of the other two?

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

In a certain cake, two straight cuts (made along two different radii) succeed in removing 4/15 of the total cake. What is the central angle in degrees of the piece cut?

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If an equilateral triangle and a square have the same perimeter, what is the ratio of the length of the sides of the equilateral triangle to the lengths of the sides of the square?

Let the side length of the equilateral triangle be x and the side length of the square be y. Since they have the same perimeter, we know that: 3x=4y Dividing both sides by 3, we get: x= 4/3(y) Therefore, the ratio of the side lengths of the equilateral triangle to the side lengths of the square is 4:3.
Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If 2 and 4 each divide q without remainder, which of the following must q divide without remainder.

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The ratio of boys to girls in a certain classroom was 2 : 3. If boys represented five more than one third of the class, how many people were there in the classroom?

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Let xy = z, where x,y,z and nonzero numbers. If x is multiplied by 3 and z is divided by 3, this is equivalent to multiplying y by

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If 5x = 3, then (5x + 3)² =

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If the postal charges for a package are 62 cents for the first five ounces and 8 cents for each additional ounce, what is the weight of a package for which the charges are $1.66? (Assume there are 16 ounces in one pound)

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If m/n = .75, then what is 3m + 2n?

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Which is greater? Column A is (10/4) / (3/2) * (3/7) and Column B is (3/4) * (10/7) / (3/2)

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Which of the following has a graph that is symmetric to the x-axis

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The prime factors of 96 are

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

2- 3 =

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If x + 1 < 3x + 5, then

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Which of the numbers cannot be represented by a repeating decimal?

Fani Warraich ENGLISH   -   Analogies

STUDYING: LEARNING ::

Fani Warraich ENGLISH   -   Analogies

AFTERNOON : DUSK ::

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A train moves at sixty miles per hour from City A to City B and eighty miles per hour from City B to City A in reverse. What is the distance between the two cities if the round-trip travel duration is eight hours?

Peacel awfirm IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If half the range of increasing series {11, A, 23, B, C, 68, 73} is equal to its median, what is the median of the series?

Let's analyze the given series: {11, A, 23, B, C, 68, 73}. The median of a series is the middle value when the values are arranged in ascending order. In this case, the series is already in increasing order: {11, A, 23, B, C, 68, 73} Now, if half the range is equal to the median, we need to find the range and divide it by 2. Range = Largest value - Smallest value In this series, the largest value is 73, and the smallest value is 11. Range = 73 - 11 = 62 Half the range = 62 / 2 = 31 Now, we need to find the element in the series that is 31 units away from the smallest value (11). Counting 31 units from 11, we get: 11 + 31 = 42 So, the element with the value 42 is the median of the series. Therefore, the median of the series {11, A, 23, B, C, 68, 73} is 42.
Peacel awfirm IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The product of (1+2), (2+3) and (3+4) is equal to the one-half the sum of 20 and x, what is the value of x?

Peacel awfirm IQ APTITUDE & ABILITY   -   Quantitative Reasoning

What k is subtracted from10 and difference is divided by 2, the result is 3, what is the value of k?

Peacel awfirm IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If a^2 b =12^2, and b is smallest odd integer, then a could be divisible by all of the following except?

Peacel awfirm IQ APTITUDE & ABILITY   -   Quantitative Reasoning

900/10 + 90/100 + 9/1000 = ?

Fatima Batool ENGLISH   -   Synonyms

Erudite

Erudite implies a deep and scholarly knowledge. (sentence: The erudite professor shared fascinating historical facts.)
Fatima Batool ENGLISH   -   Synonyms

Laconic

Laconic refers to using few words but conveying a lot of meaning. (sentence: The detective gave a laconic reply, "The culprit left no trace.")
Fatima Batool ENGLISH   -   Synonyms

Ephemeral

Ephemeral describes something that lasts for a very short time. (sentence: The beauty of the fireworks display was ephemeral.)
Fatima Batool ENGLISH   -   Synonyms

Penurious

Penurious means extremely poor and unable to afford things. (sentence: Despite his penurious lifestyle, he was generous with his friends.)
Fatima Batool ENGLISH   -   Synonyms

Sagacious

Sagacious emphasizes sound judgment and wisdom. (sentence: The king made a sagacious decision by choosing a wise advisor.)
Fatima Batool ENGLISH   -   Synonyms

Impecunious

Impecunious refers to being poor or having very little money. (sentence: The impecunious traveler had to hitchhike across the country.)
Fatima Batool ENGLISH   -   Synonyms

Obsequious

Obsequious describes someone who is excessively eager to please others in a flattering or servile way. (sentence: The waiter's obsequious behavior made the diners feel uncomfortable.)
Fatima Batool ENGLISH   -   Synonyms

Inimical

Inimical means unfriendly or actively opposed to something. (sentence: The two countries had an inimical relationship for decades.)
Fatima Batool ENGLISH   -   Synonyms

Ubiquitous

Ubiquitous describes something that is found everywhere or very frequently. (sentence: The new smartphone app became ubiquitous, with everyone using it.)
Fatima Batool ENGLISH   -   Synonyms

Desuetude

Desuetude refers to the state of being no longer in use. (sentence: The old typewriter fell into desuetude with the rise of computers.)
Fatima Batool ENGLISH   -   Sentence Structuring

Which one best express a cause-and-effect relationship between air pollution and respiratory problems

Fatima Batool ENGLISH   -   Sentence Structuring

Which one is a contrasting idea to the statement "Traveling by plane is the fastest way to reach distant locations."

This option effectively introduces the contrast with "While" and highlights both sides of the argument.
Fatima Batool ENGLISH   -   Sentence Structuring

Which one emphasizes the urgency of taking action to protect endangered species.

This option uses strong conditional language ("Unless") to emphasize the urgency and potential consequence.
Fatima Batool ENGLISH   -   Sentence Structuring

Which one introduce a specific example to support the claim that exercise has numerous benefits?

This option smoothly introduces the example with "for instance" and clarifies the connection between exercise and the specific benefit.
Gitofa Shah PHYSICS   -   Thermodynamics

A heat engine operates between two reservoirs at temperatures T1 and T2, with T1 > T2. What is the maximum efficiency of the engine?

The maximum efficiency of a heat engine is given by the Carnot efficiency, which is 1 - (T2 / T1), where T1 is the temperature of the hot reservoir and T2 is the temperature of the cold reservoir.
Gitofa Shah PHYSICS   -   Thermodynamics

A system undergoes a reversible isothermal expansion from volume V1 to V2. What is the change in internal energy of the system?

In a reversible isothermal process, the temperature remains constant, and the change in internal energy is zero, ΔU = 0.
Gitofa Shah PHYSICS   -   Thermodynamics

What is the name of the process by which a system transitions from a metastable state to a stable state with a decrease in free energy?

Nucleation is the process by which a system transitions from a metastable state to a stable state with a decrease in free energy, often accompanied by the formation of a new phase.
Gitofa Shah PHYSICS   -   Thermodynamics

A gas is compressed adiabatically from pressure P1 to P2. What is the change in temperature of the gas?

In an adiabatic compression, the temperature of the gas increases according to the relation T2 = T1 * (P2 / P1)^(γ - 1), where γ is the adiabatic index.
Gitofa Shah PHYSICS   -   Thermodynamics

What is the name of the thermodynamic potential that describes a system at constant pressure and temperature?

The Gibbs free energy is a thermodynamic potential that describes a system at constant pressure and temperature, and is defined as G = H - TS, where H is the enthalpy and S is the entropy.
Gitofa Shah PHYSICS   -   Electromagnetism

A charged particle moves with a velocity v = 0.6c in a region with a uniform magnetic field B = 2T. What is the magnitude of the force experienced by the particle if its charge is q = 3 × 10^(-6) C?

The force experienced by a charged particle in a magnetic field is given by F = qvB sin(θ), where θ is the angle between the velocity and magnetic field vectors. In this case, since the velocity and magnetic field are perpendicular, sin(θ) = 1, and F = qvB = 3 × 10^(-6) C × 0.6 × 3 × 10^8 m/s × 2 T = 3.6 × 10^(-2) N.
Gitofa Shah PHYSICS   -   Electromagnetism

A parallel-plate capacitor has a capacitance C = 5 μF and is charged to a voltage V = 12 V. If the plates are separated by a distance d = 2 mm, what is the energy density of the electric field between the plates?

The energy density of the electric field between the plates is given by u = (1/2)ε₀E^2, where ε₀ is the permittivity of free space and E is the electric field strength. The electric field strength is given by E = V/d = 12 V / 2 × 10^(-3) m = 6 × 10^3 V/m. Substituting this value, we get u = (1/2) × 8.85 × 10^(-12) C^2/Nm^2 × (6 × 10^3 V/m)^2 = 1.8 × 10^5 J/m^3.
Gitofa Shah PHYSICS   -   Electromagnetism

A coil of 500 turns and cross-sectional area A = 0.02 m^2 is placed in a region with a uniform magnetic field B = 0.1 T. If the coil is rotated at a constant angular velocity ω = 20 rad/s, what is the maximum emf induced in the coil?

The maximum emf induced in the coil is given by ε = N × (dΦ/dt), where N is the number of turns, Φ is the magnetic flux, and d/dt is the derivative with respect to time. The magnetic flux is given by Φ = B × A × cos(ωt), where ω is the angular velocity and t is time. Substituting the values, we get ε = 500 × (0.1 T × 0.02 m^2 × cos(20 rad/s × t))/dt = 6.28 V.
Gitofa Shah PHYSICS   -   Electromagnetism

A beam of light with a wavelength λ = 500 nm is incident on a diffraction grating with 5000 lines per meter. What is the angular separation between the first-order maxima?

The angular separation between the first-order maxima is given by Δθ = λ/d, where d is the grating spacing. The grating spacing is given by d = 1/5000 m = 2 × 10^(-4) m. Substituting the values, we get Δθ = 500 × 10^(-9) m / 2 × 10^(-4) m = 0.1 rad
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following statements about the bonding in ethyne (acetylene, C2H2) is correct?

In ethyne, each carbon atom is sp hybridized, forming a linear molecule with a bond angle of 180 degrees. The carbon atoms are connected by a triple bond consisting of one sigma bond and two pi bonds.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following functional groups can act as both an acid and a base?

Amines contain a nitrogen atom with a lone pair of electrons, which allows them to act as a base by accepting a proton. They can also act as weak acids by donating a proton from the hydrogen atoms attached to the nitrogen, although this is less common compared to their basicity.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following compounds is chiral?

2-Butanol has a carbon atom (the second carbon) attached to four different groups: a hydroxyl group (-OH), a methyl group (-CH3), an ethyl group (-CH2CH3), and a hydrogen atom. This makes it chiral, possessing non-superimposable mirror images (enantiomers).
Malen Bara CHEMISTRY   -   Organic Chemistry

In which of the following reactions does the formation of a carbocation intermediate occur?

The SN1 reaction mechanism involves two steps. The first step is the dissociation of the leaving group, leading to the formation of a carbocation intermediate. This carbocation then reacts with a nucleophile in the second step.
Malen Bara CHEMISTRY   -   Organic Chemistry

What is the first step in the retrosynthetic analysis of 1-bromo-2-phenylethane?

Retrosynthetic analysis involves breaking down the target molecule into simpler precursor structures. For 1-bromo-2-phenylethane, identifying how the phenyl group is attached to the ethane chain is crucial for determining the precursor molecules. In this case, one might consider the synthesis from ethylbenzene or from styrene via bromination.
Malen Bara CHEMISTRY   -   Organic Chemistry

In proton NMR spectroscopy, what splitting pattern would you expect for the protons on the methylene group in ethyl acetate (CH3COOCH2CH3)?

The methylene group (CH2) in ethyl acetate is adjacent to a methyl group (CH3), which causes spin-spin coupling. The three protons of the methyl group split the signal of the two methylene protons into a quartet due to the n+1 rule (n=3).
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following compounds is not aromatic?

Benzene, pyridine, and naphthalene all obey Huckel's rule for aromaticity, possessing (4n+2) π-electrons and a planar structure. Cyclooctatetraene, however, does not adopt a planar conformation and does not have (4n+2) π-electrons, making it non-aromatic.
Malen Bara CHEMISTRY   -   Organic Chemistry

In an electrophilic aromatic substitution reaction, which intermediate is formed?

In electrophilic aromatic substitution, the intermediate formed is a sigma complex (also known as an arenium ion or Wheland intermediate). This intermediate features a partially positive charge and a disrupted aromatic system, which is later restored upon deprotonation.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following statements about the polymerization of ethylene to form polyethylene is correct?

The polymerization of ethylene to form polyethylene is typically carried out via a free radical mechanism. This process involves the initiation, propagation, and termination steps, where free radicals mediate the addition of ethylene monomers to the growing polymer chain.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following heterocycles contains nitrogen and is aromatic?

Pyrrole is a five-membered heterocyclic compound containing nitrogen and is aromatic. It has a planar structure with a conjugated system of (4n+2) π-electrons, making it aromatic according to Huckel's rule.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which type of enzyme catalysis involves the formation of a covalent bond between the enzyme and the substrate?

In covalent catalysis, a transient covalent bond is formed between the enzyme and the substrate during the reaction. This temporary covalent intermediate helps stabilize the transition state and lower the activation energy of the reaction.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following principles is not one of the Twelve Principles of Green Chemistry?

Increasing chemical yields is not explicitly one of the Twelve Principles of Green Chemistry. While yield is important, the principles focus on reducing waste, minimizing the use of hazardous substances, and designing environmentally benign processes.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following elements has the highest second ionization energy?

The second ionization energy is the energy required to remove the second electron after the first has been removed. Sodium has a very high second ionization energy because removing the second electron means disrupting a stable noble gas configuration (Ne), making it significantly more difficult than the first ionization.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following molecules has the most polar bond?

Polarity of a bond is determined by the difference in electronegativity between the two bonded atoms. Fluorine is the most electronegative element, and the electronegativity difference between hydrogen and fluorine is the greatest among the given pairs, making HF the most polar bond.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

In a face-centered cubic (fcc) lattice, what is the coordination number of each atom?

In a face-centered cubic (fcc) lattice, each atom is surrounded by 12 nearest neighbors. This coordination number of 12 arises because each atom touches four atoms in its own layer, four atoms in the layer above, and four atoms in the layer below.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following ligands will cause the greatest splitting in the d-orbital energies of a central metal ion according to the spectrochemical series?

According to the spectrochemical series, CN⁻ is a strong field ligand and causes significant splitting of the d-orbitals in a central metal ion. This large splitting can lead to different electronic configurations and affects the color and magnetic properties of the complex.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

In the compound ferrocene (Fe(C5H5)2), what is the oxidation state of the iron center?

In ferrocene, each cyclopentadienyl anion (C5H5⁻) is considered to donate 6 electrons to the iron atom, providing a total of 12 electrons. Iron in the neutral state (Fe) has 8 valence electrons, leading to the 18-electron configuration that stabilizes the complex. Hence, the oxidation state of iron in ferrocene is 0.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which metal ion is at the active site of the enzyme carbonic anhydrase?

Carbonic anhydrase is an enzyme that catalyzes the hydration of carbon dioxide. The active site of this enzyme contains a zinc ion (Zn²⁺) which is coordinated by three histidine residues and a water molecule, playing a crucial role in the enzyme's catalytic function.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following elements forms a stable diatomic molecule in the gas phase?

Nitrogen forms a stable diatomic molecule (N₂) due to the formation of a strong triple bond between the two nitrogen atoms, making it very stable. The other elements listed typically form more complex molecular structures or allotropes.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following transition metals exhibits the highest number of oxidation states?

Manganese exhibits the highest number of oxidation states, ranging from -3 to +7. This wide range of oxidation states is due to its electronic configuration, which allows it to lose or share various numbers of electrons.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following actinides is commonly used as a fuel in nuclear reactors?

Uranium, specifically U-235, is commonly used as a fuel in nuclear reactors due to its ability to undergo fission and release a significant amount of energy. Thorium can also be used in nuclear reactors, but it is less common compared to uranium.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following compounds acts as both a Lewis acid and a Lewis base?

Water (H₂O) can act as both a Lewis acid (accepting a pair of electrons when it forms H₃O⁺) and a Lewis base (donating a pair of electrons when it acts as a solvent or forms coordinate bonds). The other compounds typically act only as Lewis acids or bases.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following is a typical example of an inner-sphere electron transfer reaction?

An inner-sphere electron transfer involves a bridging ligand that temporarily connects the two reactants. In the reduction of MnO₄⁻ by Fe²⁺, an intermediate complex can form where a ligand bridges the Mn and Fe centers, facilitating the electron transfer.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following methods is commonly used to synthesize graphene?

Chemical vapor deposition (CVD) is a common method used to synthesize high-quality graphene. This process involves the deposition of carbon atoms onto a substrate from a gas-phase precursor, resulting in the formation of a graphene layer.
lorrin mike PHYSICS   -   Nuclear Physics

Which of the following particles is emitted during beta-minus decay?

Beta-minus decay involves the emission of an electron (beta particle) from a nucleus. This occurs when a neutron in the nucleus converts into a proton, releasing an electron and an antineutrino.
lorrin mike PHYSICS   -   Nuclear Physics

Which nuclear reaction is responsible for the energy production in the Sun and other stars?

Nuclear fusion is the process where light atomic nuclei combine to form heavier nuclei, releasing a significant amount of energy. It is the primary energy source for stars, including the Sun.
lorrin mike PHYSICS   -   Nuclear Physics

What is the fundamental force responsible for binding protons and neutrons together in the nucleus?

The strong nuclear force is the fundamental force that binds protons and neutrons (nucleons) together in the nucleus. It is a short-range force that overcomes the repulsive electromagnetic force between protons.
lorrin mike PHYSICS   -   Nuclear Physics

Which of the following particles has the same charge as an electron but approximately 1836 times greater mass?

A proton has the same charge as an electron (positive) but is much heavier, with a mass approximately 1836 times greater than that of an electron.
lorrin mike PHYSICS   -   Nuclear Physics

What is the approximate binding energy per nucleon in a typical stable nucleus?

The binding energy per nucleon represents the average energy required to completely separate a nucleus into its individual nucleons. It is approximately 8 MeV for stable nuclei, indicating the stability and compactness of nuclear structure.
Togus Bash STATISTICS   -   Probability Distributions

What is the primary purpose of probability distributions?

Togus Bash STATISTICS   -   Probability Distributions

What is the primary purpose of probability distributions?

Togus Bash STATISTICS   -   Probability Distributions

Which of the following is a discrete probability distribution?

Togus Bash STATISTICS   -   Probability Distributions

What is the main characteristic of a binomial distribution?

Togus Bash STATISTICS   -   Probability Distributions

In a normal distribution, what is the relationship between the mean and median?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the standard normal distribution?

Togus Bash STATISTICS   -   Probability Distributions

Which of the following is a property of the Poisson distribution?

Togus Bash STATISTICS   -   Probability Distributions

What is the relationship between the mean and standard deviation in a normal distribution?

Togus Bash STATISTICS   -   Probability Distributions

In a geometric distribution, what does the parameter p represent?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the Central Limit Theorem?

Togus Bash STATISTICS   -   Probability Distributions

Which of the following is a continuous probability distribution?

Togus Bash STATISTICS   -   Probability Distributions

In a normal distribution, what does the 68-95-99

Togus Bash STATISTICS   -   Probability Distributions

What is the main assumption of the Poisson distribution?

Togus Bash STATISTICS   -   Probability Distributions

In a geometric distribution, what is the expected number of trials until the first success?

Togus Bash STATISTICS   -   Probability Distributions

What is the relationship between the normal and binomial distributions?

Togus Bash STATISTICS   -   Probability Distributions

In an exponential distribution, what does the parameter ? represent?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the Poisson approximation to the binomial distribution?

Togus Bash STATISTICS   -   Probability Distributions

In a hypergeometric distribution, what is the main assumption?

Togus Bash STATISTICS   -   Probability Distributions

What is the relationship between the mean and variance in an exponential distribution?

Togus Bash STATISTICS   -   Probability Distributions

In a normal distribution, what does the 95% confidence interval represent?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the Poisson process?

Togus Bash STATISTICS   -   Probability Distributions

In a binomial distribution, what is the probability mass function?

Togus Bash STATISTICS   -   Probability Distributions

What is the relationship between the normal and lognormal distributions?

Togus Bash STATISTICS   -   Probability Distributions

In a geometric distribution, what is the probability mass function?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the Poisson approximation to the binomial distribution when n is large and p is small?

Togus Bash STATISTICS   -   Probability Distributions

In a hypergeometric distribution, what is the probability mass function?

Togus Bash STATISTICS   -   Probability Distributions

What is the relationship between the mean and variance in a Poisson distribution?

Togus Bash STATISTICS   -   Probability Distributions

In an exponential distribution, what is the probability density function?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the normal approximation to the binomial distribution?

Togus Bash STATISTICS   -   Probability Distributions

In a geometric distribution, what is the expected number of failures before the first success?

Togus Bash STATISTICS   -   Probability Distributions

What is the relationship between the normal and uniform distributions?

Togus Bash STATISTICS   -   Probability Distributions

In a Poisson distribution, what is the probability mass function?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the lognormal distribution?

Togus Bash STATISTICS   -   Probability Distributions

In a hypergeometric distribution, what is the expected number of successes?

Togus Bash STATISTICS   -   Probability Distributions

What is the relationship between the normal and exponential distributions?

Togus Bash STATISTICS   -   Probability Distributions

In a binomial distribution, what is the expected number of successes?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the Central Limit Theorem in the context of probability distributions?

Togus Bash STATISTICS   -   Probability Distributions

In a normal distribution, what is the probability density function?

Togus Bash STATISTICS   -   Probability Distributions

What is the relationship between the Poisson and exponential distributions?

Togus Bash STATISTICS   -   Probability Distributions

In a geometric distribution, what is the variance?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the Poisson approximation to the binomial distribution when n is large and p is small?

Togus Bash STATISTICS   -   Probability Distributions

In a hypergeometric distribution, what is the variance?

Togus Bash STATISTICS   -   Probability Distributions

What is the relationship between the normal and lognormal distributions?

Togus Bash STATISTICS   -   Probability Distributions

In a Poisson distribution, what is the variance?

Togus Bash STATISTICS   -   Probability Distributions

What is the purpose of the normal approximation to the binomial distribution when n is large and p is close to 0

Togus Bash STATISTICS   -   Probability Distributions

In an exponential distribution, what is the cumulative distribution function?

Fani Warraich

? means here λ.

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "abate"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "cacophony"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "benevolent"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "ephemeral"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "garrulous"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "insipid"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "meticulous"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "obfuscate"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "prodigious"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "quixotic"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "recalcitrant"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "sanguine"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "tacit"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "ubiquitous"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "vicarious"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "wanton"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "zealous"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "abstruse"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "cogent"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "dormant"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "effulgent"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "fortuitous"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "gregarious"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "harangue"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "immutable"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "juxtapose"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "kismet"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "luminous"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "mendacious"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "nefarious"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "obsequious"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "palpable"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "quiescent"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "replete"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "soporific"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "tenuous"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "ubiquitous"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "venerate"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "wary"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "zephyr"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "abject"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "cursory"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "dissonant"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "efficacious"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "genuine"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "hallowed"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "immutable"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "languid"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "mollify"?

Fani Warraich ENGLISH   -   Antonyms

What is the antonym of "neophyte"?

Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to UBIQUITOUS:

Ubiquitous means something present everywhere.
Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to PERNICIOUS:

Pernicious means something that is harmful.
Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to MELLIFLUOUS:

Mellifluous describes something smooth and sweet-sounding.
Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to EPHEMERAL:

Ephemeral refers to something that is short-lived.
Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to ASTUTE:

Astute means having insight or being sharp-witted.
Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to ENTHRALL:

Enthrall means to captivate or hold someone's attention.
Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to SYCOPHANT:

A "sycophant" is a person who flatters excessively.
Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to ASSUAGE:

Assuage means to soothe or make less severe.
Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to RETICENT:

Reticent describes someone who is reserved or not outspoken.
Zaisha Shah ENGLISH   -   Antonyms

The word nearly opposite to INCESSANT:

Incessant means continuing without interruption.
Zaisha Shah ENGLISH   -   Synonyms

The word nearly similar to ESOTERIC:

Esoteric means understood by a few; the opposite is "Obvious."
Zaisha Shah ENGLISH   -   Synonyms

The word nearly similar to SQUALID:

Squalid means filthy or wretched; the opposite is "Clean."
Zaisha Shah ENGLISH   -   Synonyms

The word nearly similar to TACITURN:

Taciturn describes someone who is habitually silent; the opposite is "Loquacious."
Zaisha Shah ENGLISH   -   Synonyms

The word nearly similar to CONSTRICT:

Constrict means to make narrower; the opposite is "Expand."
Zaisha Shah ENGLISH   -   Synonyms

The word nearly similar to LOQUACIOUS:

Loquacious means talkative; the opposite is "Silent."
Zaisha Shah ENGLISH   -   Synonyms

The word nearly similar to INDOLENT:

Indolent means lazy or inactive; the opposite is "Active."
Zaisha Shah ENGLISH   -   Synonyms

The word nearly similar to COALESCE:

Coalesce means to come together; the opposite is "Disperse."
Zaisha Shah ENGLISH   -   Synonyms

The word nearly similar to RANCOR:

Rancor means bitterness or animosity; the opposite is "Amicability."
Zaisha Shah ENGLISH   -   Synonyms

The word nearly similar to ACQUIESCE:

Acquiesce means to agree or comply reluctantly; the opposite is "Resist."
Zaisha Shah ENGLISH   -   Synonyms

DEBILITATE:

Debilitate means to weaken; the opposite is "Fortify."
Muntaha Nasir IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A rectangular garden has a length that is 4 meters longer than its width. If the perimeter of the garden is 40 meters, what is the area of the garden in square meters?

Let the width of the garden be w w meters. Then, the length can be expressed as w + 4 w+4 meters. The formula for the perimeter P P of a rectangle is given by: P = 2 ( length + width ) = 40 P=2(length+width)=40 Substituting the expressions for length and width: 2 ( ( w + 4 ) + w ) = 40 2((w+4)+w)=40 Simplifying this equation: 2 ( 2 w + 4 ) = 40 4 w + 8 = 40 4 w = 32 w = 8 2(2w+4)=40 4w+8=40 4w=32 w=8 Now, substituting back to find the length: length = w + 4 = 8 + 4 = 12 length=w+4=8+4=12 The area A A of the garden is given by: A = length × width = 12 × 8 = 96 A=length×width=12×8=96 Thus, the area of the garden is 100 square meters.

Contributor(14)

Fani Warraich
Bashir Farooqi
Shalisha Ladawn
Jamal Khan
Muhammad Tayyab Ikhlas
Suzico
Peacel awfirm
Fatima Batool
Gitofa Shah
Malen Bara
lorrin mike
Zaisha Shah
Togus Bash
Muntaha Nasir