Tüm alıştırma soruları

5215 soru

Soru 5141Soru →

An isotope of titanium has a mass number of 4848 and contains 2626 neutrons in its nucleus. How many electrons surround the nucleus of a neutral atom of this isotope?

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Cevap: 2222

Cevap

A neutral atom of this titanium isotope has 2222 electrons.
The mass number (A=48A = 48) is the total count of protons and neutrons in the nucleus. Subtracting the 2626 neutrons from the mass number gives 2222 protons (48−26=2248 - 26 = 22). In a neutral atom, the number of electrons equals the number of protons, meaning there are 2222 electrons orbiting the nucleus.

Adım Adım Çözüm

1
Calculate the number of protons in the nucleus using the mass number and neutron count
Number of protons =48−26=22= 48 - 26 = 22
The mass number (AA) equals the sum of protons (ZZ) and neutrons (NN), so Z=A−NZ = A - N.
2
Determine the number of electrons in the electrically neutral atom
Number of electrons =22= 22
In any neutral atom, the number of negatively charged electrons equals the number of positively charged protons.

Anahtar Kavram

Relationship between mass number, subatomic particles, and atomic neutrality
Tahmini Süre:45s
Soru 5142Soru →

Determine the simple interest earned and the final account balance for the following investment scenario.

Aşağıdaki boşlukları doldurun

Sarah invests $500\$500 in a savings certificate that earns an annual simple interest rate of 4%4\%. After 22 years, she will have earned exactly $\$ in interest, and her final account balance will be $\$ .
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Cevap

The interest earned is 40,andthefinalaccountbalanceis40, and the final account balance is 540.
The correct interest amount is found by multiplying the principal ($500\$500), the annual rate as a decimal (0.040.04), and the time in years (22). The final balance is found by adding this computed interest to the original principal.

Adım Adım Çözüm

1
Identify the given values from the problem statement.
Principal (PP) = 500500, Rate (RR) = 4%=0.044\% = 0.04, Time (TT) = 22 years.
These are the essential parameters needed to use the simple interest formula.
2
Calculate the total simple interest earned using the formula I=PRTI = PRT.
I=500×0.04×2=40I = 500 \times 0.04 \times 2 = 40.
This determines the additional money earned over the 2-year duration.
3
Calculate the final account balance by adding the interest to the principal.
A=500+40=540A = 500 + 40 = 540.
The total final balance (AA) is always the sum of the original investment (PP) and the interest earned (II).

Anahtar Kavram

Calculating simple interest (I=PRTI = PRT) and total balance (A=P+IA = P + I)

Alternatif Yöntem

The final balance can also be calculated directly using the combined formula A=P(1+RT)A = P(1 + RT), which gives A=500(1+0.04×2)=500(1.08)=540A = 500(1 + 0.04 \times 2) = 500(1.08) = 540.
Tahmini Süre:1m 0s
Soru 5143Soru →

A machine stamps 4545 metal tags in 33 minutes. At this constant rate, how many tags will the machine stamp in 11 hour?

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Cevap: 900

Cevap

The correct answer is 900 tags.
The correct answer is derived by first harmonizing the time units, converting 1 hour to 60 minutes. Next, find the unit rate by dividing 45 tags by 3 minutes, which equals 15 tags per minute. Finally, multiply the 15 tags per minute by the 60 minutes in an hour to get 900 total tags.

Adım Adım Çözüm

1
Convert the target time frame into the same units used in the given rate.
1 hour = 60 minutes
Units must match before applying a proportion or unit rate.
2
Calculate the unit rate by dividing the number of tags by the number of minutes.
45 tags / 3 minutes = 15 tags per minute
The unit rate tells you exactly how much is produced in one single unit of time.
3
Multiply the unit rate by the total converted time.
15 tags/minute * 60 minutes = 900 tags
This scales the unit rate up to the total production over the full hour.

Anahtar Kavram

Direct Proportions
Tahmini Süre:1m 0s
Soru 5144Soru →

Match each fundamental atomic structure concept with its correct scientific definition.

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Öğeler

Atomic number
Mass number
Isotopes
Valence electrons

Eşleşmeler

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Cevap

Atomic number pairs with the proton quantity determining elemental identity; Mass number pairs with the sum of protons and neutrons; Isotopes pair with atoms having identical protons but different neutrons; Valence electrons pair with outermost electrons governing chemical reactivity.
Each term accurately describes a foundational property of atomic architecture: the atomic number corresponds strictly to proton count, mass number equals protons plus neutrons, isotopes are variants differing in neutron count, and valence electrons occupy the outermost shell to drive chemical behavior.

Adım Adım Çözüm

1
Identify the definition of atomic number
Matched with the number of protons that defines the element (ZZ)
Every neutral or ionized atom of an element always contains the same characteristic number of protons.
2
Identify the definition of mass number
Matched with the sum of nuclear particles (protons + neutrons)
Electrons have negligible mass compared to nucleons, so atomic mass number is the total count of protons and neutrons.
3
Identify the definition of isotopes
Matched with atoms of the same element containing differing neutron quantities
Because atomic number remains constant for a given element, variations in atomic mass within an element arise solely from neutron count.
4
Identify the definition of valence electrons
Matched with the outermost electrons governing bonding behavior
The electron configuration in the highest energy level dictates how an atom interacts and shares or transfers electrons during reactions.

Anahtar Kavram

Core atomic structure parameters, subatomic particle arrangements, and isotopic terminology
Tahmini Süre:1m 0s
Soru 5145Soru →

An automotive dealership initially offers a customer a trade-in value of $4,500.00\$4,500.00 for their used vehicle. After a mechanical inspection reveals worn brake pads and a minor oil leak, the dealership decreases this initial offer by 12%12\%. To help close the deal on a new vehicle, the sales manager then approves a 5%5\% increase on the revised trade-in offer. What is the final trade-in value offered to the customer?

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Cevap: 4158

Cevap

4158
The correct answer is found by taking the initial amount of 4,500,decreasingitby124,500, decreasing it by 12% to find the intermediate value of 3,960, and then increasing that intermediate value by 5% to arrive at the final value of $4,158.

Adım Adım Çözüm

1
Calculate the dollar amount of the 12% decrease.
$4,500×0.12=$540\$4,500 \times 0.12 = \$540
The initial offer is reduced by 12% due to mechanical issues found during the inspection.
2
Determine the revised trade-in offer after the initial decrease.
$4,500−$540=$3,960\$4,500 - \$540 = \$3,960
Subtracting the penalty from the original amount establishes the new base value for the next percentage change.
3
Calculate the dollar amount of the 5% increase.
$3,960×0.05=$198\$3,960 \times 0.05 = \$198
The manager's 5% increase applies specifically to the revised offer, not the original amount.
4
Calculate the final trade-in value.
$3,960+$198=$4,158\$3,960 + \$198 = \$4,158
Adding the approved increase to the revised offer provides the final amount offered to the customer.

Anahtar Kavram

Successive percentage changes
Soru 5146Soru →

Match each military work scenario with the correct time it would take to complete the task. Assume all personnel work at the same constant rate.

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Öğeler

2 mechanics take 6 hours to repair an engine. How many hours will it take 4 mechanics?
3 medics take 8 hours to inventory supplies. How many hours will it take 6 medics?
4 logisticians take 5 hours to load a transport. How many hours will it take 10 logisticians?
5 engineers take 6 hours to clear a path. How many hours will it take 6 engineers?

Eşleşmeler

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Cevap

The 4 mechanics will take 3 hours, the 6 medics will take 4 hours, the 10 logisticians will take 2 hours, and the 6 engineers will take 5 hours.
Each scenario is an inverse proportion problem where the product of workers and time is a constant (total work). To find the new time, multiply the original workers by the original hours, then divide by the new number of workers.

Adım Adım Çözüm

1
Calculate the constant total work for each scenario.
Scenario 1: 12 hours. Scenario 2: 24 hours. Scenario 3: 20 hours. Scenario 4: 30 hours.
In inverse proportions, the product of workers and time is a constant (representing the total work required).
2
Divide the total work by the new number of workers.
12/4 = 3 hours; 24/6 = 4 hours; 20/10 = 2 hours; 30/6 = 5 hours.
Since the total work remains constant, dividing it by the available workforce yields the new time.

Anahtar Kavram

Inverse Proportions
Soru 5147Soru →

A military supply depot distributes a shipment of Meals Ready-to-Eat (MREs) among three battalions: Alpha, Bravo, and Charlie. Battalion Alpha receives 13\frac{1}{3} of the total shipment. The remaining MREs are then divided between Battalion Bravo and Battalion Charlie in a ratio of 3:53 : 5 respectively. If Battalion Charlie receives exactly 1,2001,200 more MREs than Battalion Bravo, what is the total number of MREs in the entire shipment?

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Cevap: 7200

Cevap

The total number of MREs in the entire shipment is 7,200.
The correct total shipment is found by reasoning backward from the difference. Bravo and Charlie split the remaining 2/3 of the shipment in a 3:5 ratio, meaning there are 8 total parts for that remainder. Charlie receives 2 more parts than Bravo (5−3=25 - 3 = 2). Since these 2 parts equal 1,200 MREs, 1 part equals 600 MREs. The entire remainder (all 8 parts) is therefore 8×600=4,8008 \times 600 = 4,800 MREs. Since this 4,800 represents the 2/3 of the total shipment left after Alpha's portion, the entire original shipment must be (4,800÷2)×3=7,200(4,800 \div 2) \times 3 = 7,200 MREs.

Adım Adım Çözüm

1
Define a variable for the total shipment and calculate the remaining amount after Alpha's share is removed.
Let the total shipment be T. Alpha receives 13T\frac{1}{3}T, so the remaining portion for Bravo and Charlie is T−13T=23TT - \frac{1}{3}T = \frac{2}{3}T.
We must determine exactly what portion of the whole shipment is being divided between the remaining two battalions.
2
Determine the fractional share of the remainder that Bravo and Charlie each receive based on their 3:53:5 ratio.
The ratio 3:53:5 has 3+5=83 + 5 = 8 total parts. Bravo gets 38\frac{3}{8} of the remainder, and Charlie gets 58\frac{5}{8} of the remainder.
Ratios represent parts of a whole; in this step, the 'whole' is the remaining 23T\frac{2}{3}T of the shipment.
3
Express Bravo's and Charlie's individual shares in terms of the total original shipment T.
Bravo's share is 38×23T=14T\frac{3}{8} \times \frac{2}{3}T = \frac{1}{4}T. Charlie's share is 58×23T=512T\frac{5}{8} \times \frac{2}{3}T = \frac{5}{12}T.
Converting their shares back to fractions of the original total allows us to set up an algebraic equation for the entire shipment.
4
Set up an equation using the known difference between Charlie's and Bravo's shares.
Charlie receives 1,200 more than Bravo, so: 512T−14T=1200\frac{5}{12}T - \frac{1}{4}T = 1200.
This translates the word problem's condition into a solvable algebraic equation.
5
Solve the equation for T.
Convert 14T\frac{1}{4}T to 312T\frac{3}{12}T. The equation becomes 212T=1200\frac{2}{12}T = 1200, which simplifies to 16T=1200\frac{1}{6}T = 1200. Multiplying both sides by 6 yields T=7200T = 7200.
Isolating the variable gives the final total number of MREs.

Anahtar Kavram

Dividing a remaining quantity into ratio parts and utilizing the algebraic difference between parts to find an original whole.
Soru 5148Soru →

A customer invests $1,500\$1,500 in a savings certificate that pays an annual simple interest rate of 4%4\%. How much total interest, in dollars, will the investment earn after exactly 33 years?

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Cevap: 180

Cevap

The investment will earn 180 dollars in interest.
Using the simple interest formula I=PRTI = PRT, substituting the given values yields I=1500×0.04×3=180I = 1500 \times 0.04 \times 3 = 180. The total interest earned is $180\$180.

Adım Adım Çözüm

1
Identify the given values for the simple interest formula.
Principal (PP) = 1,5001,500, Rate (RR) = 4%4\% (or 0.040.04), Time (TT) = 33 years.
These are the necessary components to calculate simple interest.
2
Multiply the principal by the annual interest rate to find the interest earned in one year.
1500×0.04=601500 \times 0.04 = 60
This determines the annual interest amount.
3
Multiply the annual interest by the number of years.
60×3=18060 \times 3 = 180
This gives the total simple interest over the entire time period.

Anahtar Kavram

Calculating simple interest using the formula I=PRTI = PRT.
Soru 5149Soru →

A passenger takes a taxi ride that costs $30.00\$30.00 on the meter. The passenger wants to give the driver a 20%20\% tip. What is the total amount the passenger will pay in dollars?

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Cevap: 36

Cevap

36
The tip is calculated by converting 20%20\% to the decimal 0.200.20 and multiplying it by the $30.00\$30.00 meter cost, resulting in a $6.00\$6.00 tip. Adding this tip to the original $30.00\$30.00 cost gives a final total payment of $36.00\$36.00.

Adım Adım Çözüm

1
Calculate the tip amount by finding 20%20\% of the meter cost.
$30.00×0.20=$6.00\$30.00 \times 0.20 = \$6.00
The tip is a percentage calculated based on the original cost of the service.
2
Add the tip amount to the original meter cost to find the total amount paid.
$30.00+$6.00=$36.00\$30.00 + \$6.00 = \$36.00
The total payment equals the original service cost plus the added tip.

Anahtar Kavram

Calculating a percentage of a base amount and adding it to find the total cost.
Soru 5150Soru →

A retailer buys a wholesale lot of 100100 tablets for $4,000\$4,000. They pay an additional $1,000\$1,000 for shipping, software updates, and packaging before the tablets are ready for sale. The retailer sells 4040 of these tablets at a 10%10\% loss on their true unit cost. In order to achieve an overall profit of 20%20\% on the entire initial investment, what must be the selling price for each of the remaining tablets?

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Cevap: $70\$70

Cevap

The remaining tablets must be sold for $70\$70 each.
To achieve a 20% overall profit, the retailer must make a total of 6,000ona6,000 on a 5,000 total investment. Since the first 40 tablets were sold at a loss for 1,800total,theremaining1,800 total, the remaining 4,200 must be made up entirely by the remaining 60 tablets. Dividing 4,200by60yields4,200 by 60 yields 70 per tablet.

Adım Adım Çözüm

1
Calculate the total investment and the target revenue.
Total Investment = $4,000\$4,000 + $1,000\$1,000 = $5,000\$5,000. Target Revenue = $5,000\$5,000 + (0.200.20 × $5,000\$5,000) = $6,000\$6,000.
To find how much money must be made in total, you must first account for all costs (purchase + overhead) and then add the desired 20% overall profit.
2
Determine the true unit cost per tablet.
Unit Cost = $5,000\$5,000 ÷ 100100 = $50\$50 per tablet.
The unit cost must reflect the total investment spread across all items, not just the original purchase price.
3
Calculate the revenue generated from the first 40 tablets.
Selling price = $50\$50 - (0.100.10 × $50\$50) = $45\$45. Revenue = 4040 × $45\$45 = $1,800\$1,800.
These tablets were sold at a 10% loss on their true unit cost.
4
Find the remaining revenue needed from the unsold tablets.
Remaining Revenue Needed = $6,000\$6,000 (Target) - $1,800\$1,800 (Collected) = $4,200\$4,200.
This is the exact dollar amount the remaining stock must generate to hit the overall profit goal.
5
Calculate the required selling price per remaining tablet.
Remaining tablets = 100100 - 4040 = 6060. Selling Price = $4,200\$4,200 ÷ 6060 = $70\$70.
Dividing the remaining revenue goal by the remaining inventory gives the required per-unit price.

Anahtar Kavram

Multi-stage Profit and Loss with Overhead Allocation
Soru 5151Soru →

A logistics quartermaster is auditing the remaining capacity of four different fuel storage tanks relative to their maximum volume. To plan refueling priorities, arrange the tanks from the least full to the most full based on their current capacity levels.

Öğeleri doğru sıraya koymak için sürükleyin

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Cevap

The correct order from least full to most full is Tank C (0.675), Tank D (17/25), Tank B (68.5%), and Tank A (11/16).
By converting all capacity values to percentages (68.75%68.75\%, 68.5%68.5\%, 67.5%67.5\%, and 68%68\%), their magnitudes can be directly and accurately compared. The lowest percentage is 67.5%67.5\% (Tank C), followed closely by 68%68\% (Tank D), 68.5%68.5\% (Tank B), and the highest is 68.75%68.75\% (Tank A).

Adım Adım Çözüm

1
Convert all given values to a common format (such as percentages or decimals) for easy and accurate comparison.
Tank C is given as a decimal, 0.6750.675, which equals 67.5%67.5\%. Tank B is already given in percentage format at 68.5%68.5\%.
Comparing mixed forms (fractions, decimals, and percentages) is prone to estimation errors without standardizing them.
2
Convert the fraction for Tank D into a percentage.
Tank D is 1725\frac{17}{25}. Multiplying both the numerator and denominator by 44 creates a fraction out of 100100: 68100\frac{68}{100}, which equals 0.680.68 or 68%68\%.
Converting fractions to a base of 100100 makes percentage translation immediate.
3
Convert the fraction for Tank A into a percentage using long division or known fractional equivalents.
Tank A is 1116\frac{11}{16}. Since 116=0.0625\frac{1}{16} = 0.0625, multiplying by 1111 yields 0.68750.6875. Alternatively, 11÷16=0.687511 \div 16 = 0.6875. This equates to 68.75%68.75\%.
Finding the exact decimal prevents mistakes when comparing closely clustered values.
4
Order the standardized percentages sequentially from least to greatest.
67.5%<68%<68.5%<68.75%67.5\% < 68\% < 68.5\% < 68.75\%. Matching these values back to their original forms yields: Tank C, Tank D, Tank B, Tank A.
The prompt asks to arrange the tanks specifically from least full to most full.

Anahtar Kavram

Converting fractions and decimals to percentages to compare close magnitudes accurately.
Soru 5152Soru →

Elements in the periodic table are organized into families based on recurring valence electron configurations and characteristic chemical properties. Match each periodic table group on the left with its defining valence configuration and reactivity property on the right.

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Öğeler

Alkali metals (Group 1)
Alkaline earth metals (Group 2)
Halogens (Group 17)
Noble gases (Group 18)

Eşleşmeler

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Cevap

Alkali metals (Group 1) match with having 11 valence electron and forming +1+1 cations; Alkaline earth metals (Group 2) match with having 22 valence electrons and forming +2+2 cations; Halogens (Group 17) match with having 77 valence electrons and forming −1-1 anions; Noble gases (Group 18) match with having a complete outer electron shell and being chemically inert.
Each chemical family's behavior is dictated by its valence electron configuration: Group 1 has 11 valence electron forming +1+1 ions; Group 2 has 22 valence electrons forming +2+2 ions; Group 17 has 77 valence electrons gaining 11 electron to form −1-1 ions; Group 18 has complete outer shells resulting in chemical inertness.

Adım Adım Çözüm

1
Identify the valence electron count and typical ion formation for Group 1 (Alkali metals).
Group 1 elements have 11 valence electron and lose it easily to form +1+1 cations.
Losing 11 electron gives alkali metals the stable electron configuration of the preceding noble gas.
2
Identify the valence electron count and typical ion formation for Group 2 (Alkaline earth metals).
Group 2 elements have 22 valence electrons and lose them to form +2+2 cations.
Losing both valence electrons achieves a stable outer octet.
3
Identify the valence electron count and typical ion formation for Group 17 (Halogens).
Group 17 elements have 77 valence electrons and gain 11 electron to form −1-1 anions.
Nonmetals with 77 valence electrons require only 11 additional electron to reach a full octet.
4
Identify the outer shell characteristics and reactivity of Group 18 (Noble gases).
Group 18 elements have completely filled valence shells and are non-reactive (inert).
A filled outer shell provides maximum thermodynamic stability without sharing, gaining, or losing electrons.

Anahtar Kavram

Periodic table groups reflect valence electron numbers that determine characteristic chemical properties and predictable ion formation.
Tahmini Süre:1m 0s
Soru 5153Soru →

During diplomatic negotiations, the ambassador remained circumspect before agreeing to the proposed treaty. In this context, what does the word circumspect most nearly mean?

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Cevap: cautious

Cevap

cautious
The word 'circumspect' is built from the Latin prefix 'circum-' (meaning around) and the root 'spect' (meaning to look). Literally meaning 'looking around oneself,' it describes someone who is prudent, watchful, and cautious.

Adım Adım Çözüm

1
Isolate the morphological components of the target word 'circumspect'
Prefix: circum- (meaning 'around') + Root: spect (meaning 'to look or observe')
Deconstructing a derived word into its prefix and base root reveals its underlying literal definition.
2
Synthesize the affix and root meanings into a unified definition
'Circumspect' literally means 'looking all around', which denotes being watchful, prudent, or cautious regarding potential hazards.
Affix combinations guide the semantic meaning of formal vocabulary.
3
Select the option that matches the synthesized meaning and fits the sentence context
'Cautious' is the precise synonym for 'circumspect'.
The context describes a diplomat exercising care before signing an agreement, matching the definition of cautious.

Anahtar Kavram

Prefix and Suffix Analysis (circum- + spect)
Tahmini Süre:45s
Soru 5154Soru →

During the formal investigation, the detective noted that the witness provided a veracious statement. In this context, which of the following is the closest synonym for veracious?

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Cevap: truthful

Cevap

truthful
The word 'veracious' derives from the Latin root 'ver-', meaning 'truth' or 'true', paired with the suffix '-acious', meaning 'inclined to'. Thus, 'veracious' describes something characterized by truthfulness, making 'truthful' the correct synonym.

Adım Adım Çözüm

1
Isolate and identify the primary root word and affix in the target word 'veracious'.
The word contains the Latin root 'ver-' (meaning 'truth' or 'true') and the adjectival suffix '-acious' (meaning 'characterized by' or 'inclined to').
Deconstructing the word into its morphological base reveals the essential meaning.
2
Synthesize the root components to deduce the precise definition.
'Veracious' means habitually speaking the truth, accurate, or honest.
Combining root and suffix meanings provides the definitive semantic profile.
3
Evaluate the answer choices against the deduced definition.
'Truthful' directly matches the meaning derived from the root 'ver-'.
Aligning the morphological definition with the choices isolates the correct synonym.

Anahtar Kavram

Analyzing Latin roots ('ver-' meaning truth) to deduce word meanings.
Soru 5155Soru →

Which term serves as the most direct synonym for the capitalized word ALACRITY?

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Cevap: eagerness

Cevap

The correct synonym for ALACRITY is eagerness.
'Alacrity' signifies a brisk, cheerful readiness or promptness in response. Among the choices, 'eagerness' conveys this exact meaning.

Adım Adım Çözüm

1
Analyze the definition and part of speech of the target word.
The word 'ALACRITY' is a noun meaning cheerful readiness, promptness, or brisk willingness.
Accurately identifying the definition and grammatical form is essential for determining the correct equivalent.
2
Evaluate the answer choices against the target definition.
'Eagerness' directly expresses cheerful willingness and prompt action, whereas the other options represent an antonym or words related only by sound or root confusion.
Direct semantic comparison eliminates distractors and confirms the precise synonym.

Anahtar Kavram

Isolated Word Synonyms
Tahmini Süre:30s
Soru 5156Soru →

Read the sentence comparing financial habits. Which word with a positive connotation best completes the blank?

Aşağıdaki boşlukları doldurun

Rather than being stingy with her resources, the manager was praised for being because she allocated funds wisely and eliminated unnecessary waste.
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Cevap

The word 'thrifty' (or 'frugal') correctly fills the blank by providing the intended positive connotation.
The correct response 'thrifty' (or 'frugal') carries a positive connotation of prudence and efficiency that aligns with the praise described in the sentence.

Adım Adım Çözüm

1
Analyze the context clues and tone of the sentence.
The phrases 'was praised' and 'allocated funds wisely' establish an approving, positive tone regarding careful spending, contrasting with the negative tone of 'stingy'.
Connotation refers to the emotional association or evaluative tone of a word beyond its literal dictionary definition.
2
Identify a word that shares the denotation of spending carefully while conveying an admirable, positive tone.
Words such as 'thrifty' or 'frugal' represent sensible financial stewardship with positive connotations.
Supplying 'thrifty' or 'frugal' completes the contrast with 'stingy' while harmonizing with the sentence's praise.

Anahtar Kavram

Distinguishing between words with similar literal definitions based on positive versus negative connotation.
Tahmini Süre:45s
Soru 5157Soru →

Match each vehicle's travel scenario with its calculated average speed in miles per hour (mph).

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Öğeler

A patrol boat travels 6565 miles in 130130 minutes.
A military convoy travels 112112 miles in 22 hours and 4848 minutes.
A supply train covers 135135 miles in 22 hours and 1515 minutes.
A reconnaissance aircraft covers 384384 miles in 22 hours and 2424 minutes.

Eşleşmeler

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Cevap

Match the scenarios to their respective speeds by converting all times strictly into hours, then dividing the distance by that time.
Each correct speed is found by converting the travel time into decimal or fractional hours and then properly applying the standard rate formula (r=d/tr = d/t).

Adım Adım Çözüm

1
Convert the travel time in each scenario to hours.
Boat: 13/6 hours. Convoy: 2.8 hours. Train: 2.25 hours. Aircraft: 2.4 hours.
Because the required speed is in miles per hour (mph), the units of time must be strictly in hours.
2
Apply the speed formula: Rate = Distance / Time.
Boat: 65 / (13/6) = 30 mph. Convoy: 112 / 2.8 = 40 mph. Train: 135 / 2.25 = 60 mph. Aircraft: 384 / 2.4 = 160 mph.
Dividing the given distance in miles by the correct time in hours yields the average speed.

Anahtar Kavram

Calculating Rate and Time
Tahmini Süre:2m 30s
Soru 5158Soru →

The technician noticed an unexpected malfunction in the backup power generator. In this sentence, the word malfunction most nearly means which of the following?

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Cevap: breakdown

Cevap

breakdown
The word 'malfunction' is formed from the Latin prefix 'mal-' (meaning bad, wrong, or ill) and the root 'function' (meaning to perform or operate). Therefore, a malfunction is a faulty operation or breakdown.

Adım Adım Çözüm

1
Analyze the word parts of the target word
The prefix 'mal-' means bad, wrong, or faulty, and the base root 'function' means to operate or work.
Breaking down morphological elements reveals the core definition of the word.
2
Combine the root meanings and match with the closest synonym
A 'faulty operation' or failure to work properly corresponds directly to a breakdown.
Synthesizing root components determines the exact synonymous meaning.

Anahtar Kavram

Identifying word meaning using the Latin prefix 'mal-' (bad/faulty) and root 'function' (to operate).
Tahmini Süre:45s
Soru 5159Soru →

Read the sentence below and identify a direct synonym for the target word 'tranquil' while avoiding its opposite. Which word correctly fills the blank to maintain the sentence's original meaning?

Aşağıdaki boşlukları doldurun

The remote mountain base remained tranquil throughout the night, providing a environment for the resting unit.
Cevabı ve açıklamayı göster

Cevap

calm (or peaceful / serene)
The word 'tranquil' means free from agitation, disturbance, or turmoil. Synonyms such as 'calm', 'peaceful', or 'serene' correctly complete the sentence with the intended meaning.

Adım Adım Çözüm

1
Analyze the meaning of the target word 'tranquil' and its context clues.
The word 'tranquil' describes a state of calmness, peace, and quiet free from disturbance.
Understanding the core definition ensures accurate synonym identification.
2
Eliminate opposite associations (antonyms) that commonly cause confusion under time pressure.
Words such as 'stormy', 'turbulent', or 'chaotic' are polar opposites and must be rejected.
Antonym distractor elimination prevents selecting words with reversed meaning.
3
Select a fitting replacement that preserves the original sentence context.
Substituting 'calm' or 'peaceful' accurately describes the resting environment.
Direct synonyms seamlessly replace the target word without altering meaning.

Anahtar Kavram

Antonym Distractor Elimination in Word Knowledge
Soru 5160Soru →

Despite the executive board's explicit demand for independent thinkers who would aggressively challenge the status quo, the newly appointed consultant remained entirely obsequious during the strategy meetings.

Based on the context clues provided in the sentence, what is the meaning of the underlined word?

Cevabı ve açıklamayı göster

Cevap: Excessively submissive and eager to please

Cevap

Excessively submissive and eager to please
The sentence begins with the contrast marker 'Despite', indicating that the consultant's behavior was the opposite of what the board wanted. The board wanted 'independent thinkers who would aggressively challenge the status quo'. The direct opposite of this behavior is being excessively submissive and eager to please, which is the definition of the target word.

Adım Adım Çözüm

1
Identify the contrast marker in the sentence structure.
The word 'Despite' at the beginning of the sentence serves as the contrast marker.
Contrast markers signal that the upcoming clause will represent an opposing idea to the initial clause.
2
Locate the contextual clue that sets up the contrast.
The phrase 'independent thinkers who would aggressively challenge the status quo' represents the board's preference.
This establishes the baseline behavior that the consultant's actual behavior will contradict.
3
Determine the opposite meaning of the contextual clue.
The opposite of being an independent, aggressive challenger is being completely submissive, agreeable, and unwilling to push back.
Because of the contrast marker, the meaning of the unknown word must be the direct opposite of the established clue.
4
Evaluate the given choices to find the exact match for connotation and definition.
The option stating 'Excessively submissive and eager to please' perfectly matches the derived opposite meaning and captures the negative connotation.
This aligns the definition correctly with both the sentence structure and the precise definition of the target vocabulary word.

Anahtar Kavram

Using contrast transition words (like 'Despite') to determine the meaning of an unknown word by finding the antonym of the provided contextual clue.
Tahmini Süre:1m 0s
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Tüm alıştırma soruları — Armed Services Vocational Aptitude Battery (ASVAB) | Examkin