Using the numbers below, which of the following is the greatest? 4/3, 27/20, 1.369, 1.357
A. 1.369
B. 4/3
C. 27/20
D. 1.357
to do a comparison of the given data set, we convert the fraction numbers into the approximate decimals.
4/3=1.333
2720=1.35
Now, we have 1.333, 1.35, 1.369, 1.357. These numbers are arranged from the smallest to the largest number, we look at the number in the second decimal place value
1.333 the number in second decimal place value is 3
1.35 the number in third decimal place value is 5
1.369 the number in third decimal place value is 6
1.357 the number in third decimal place value is 5
However, 1.35 and 1.357 have 5 in the second-place vale. We use the ird place value to compare the two number:
1.35 is same as 1.350 and the number in the third-place value is 0
1.357 the number in the third-place value is 7
Now, 0 is less than 7, and thus 1.35 is less than 1.357
Overall, 3 is less than 5, and 5 less than 6 and the provided numbers can be arranged from the smallest to the largest as:
1.333, 1.35, 1.357, 1.369
Thus, the corresponding given numbers organized from the smallest to the largest become:
4/3, 27/20, 1.357, 1.369
The greatest value is 1.369
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: Using the table below, which of the following statements describes the relationship between days and dollars?
A. There is a positive correlation between days and dollars
B. There is a negative correlation between days and dollars
C. There is an inverse correlation between days and dollars
D. There is no correlation between days and dollars
Answer Explanation
To answer this question, we need to observe the trend of the number of days with dollars. On day 2, the dollars were 8, after 5 days, the dollars decreased to 3, after 13 days, the dollars increased to 10. After 14 days, the dollars declined to 6 and again rose to 16 dollars after 19 days.
From this observation, we cannot be able to establish any correlation between days and dollars.
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Q #2: The graph below compares the age of car to its value. Which of the following is the age of the car when its value is $12,500?
A. Between 2 and 3 years
B. Less than 1 year
C. Greater than 3 years
D. Between 1 and 2 years
Answer Explanation
We extrapolate the values of a line between 10 and 15 on y-axis to meet the curve and drop another line from the intersection of the curve to meet the x-axis and read off the age of the car.
Now, let’s extrapolate in the following diagram
The intersection of the line and the x-axis is between 4 and 5 years. This means that the car is about 4.5 years old. From the options given, the age of the car is more than 3 years old.
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Q #3: What is the area of a square that measures 3.1m on each side?
A. 12.4m2
B. 9.61m2
C. 6.2m2
D. 9.1m2
Answer Explanation
Here we are required to find the area of the square of sides 3.1 m. The square is a four-sided figure with each side equal and opposite sides making 90 degrees.
Area of the square =side*side
Side=3.1 m
Area of the square=3.1 m *3.1 m=9.61 m2
Note: 3.1 + 3.1 = 6.2 which is a wrong answer.
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Q #4: Which of the following values is the greatest?
A. 9/2
B. 10/3
C. 4.4
D. 4.25
Answer Explanation
We are given a mix of fractions and decimals and to compare the numbers, we convert the given decimals to fractions.
4.4 becomes 44/10
4.25 becomes 425/100
Now the set of fractions for comparison are: 9/2, 10/3, 44/10, and 425/100. The least common denominator for 2, 3 and 10 is 300. Then,
9/2*300=1350
10/3*300=1000
44/10*300=1320
425/10*300=1275
From the above products, 9/2 gives the greatest value when the fractions are compared with the least common denominator of the given denominators.
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Q #5: For a school's annual budget, the total amount of money spent on supplies (s) and textbooks (t) cannot exceed $12,000. Which of the following inequalities represents this scenario?
A. s + t >= $12,000
B. s + t > $12,000
C. s + t < $12,000
D. s + t <= $12,000
Answer Explanation
We can interpret ‘cannot exceed” as less than ‘<’. Therefore, in our inequality, the symbol < must be included. Now let’s convert the word problem into a mathematical inequality.
Money spent on supplies=s
Money spent on textbooks=t
Total money spent=money spent on supplies + money spent on textbooks
Total money spent = s+t
But the money spent cannot exceed $12,000. Then,
s+t < $12,000.
However the money spent can still be equal to $12000, as it has not exceeded it.Therefore, the required inequality is s + t <= $12,000.
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Q #6: Which of the following is the mean of the set data below? 30, 29, 28, 30, 24, 12, 26, 33, 25, 23
A. 30
B. 21
C. 27
D. 26
Answer Explanation
The mean is the total divided by the number of elements in the data set. From the given data set:
Total=30+29+28+30+24+12+26+33+25+23=260
Number of items, N=10
Mean=total/N=260/10=26
The mean is 26.
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Q #7: A pudding recipe for 50 people calls for 4 cups of sugar. Each bag of sugar contains 6 cups. How many bags of sugar will be needed to make this recipe for 300 people?
A. 8 bags
B. 13 bags
C. 4 bags
D. 24 bags
Answer Explanation
We need to perform a series of numerical dimensional analysis to find the number of bags sugar needed for 300 people.
We are told that 50 people need 4 cups of sugar. This can be interpretated as:
Or
Also, one bag of sugar contains 6 cups. This can also be presented as:
Or
We use the second option relating number of people and cups, and second option relating cups of sugar and bag of sugar to find for number of bags of sugar needed for 300 people.
Therefore, 300 people will need 4 bags of sugar.
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Q #8: 7x - 6= 3x - 26 Solve the equation above for x. Which of the following is the value for x?
A. -5
B. 6
C. 5
D. -8
Answer Explanation
Here we collect like terms together and solve for the unknown value of x.
7x-6=3x-26
Add 6 to both sides of the equation
7x-6+6=3x-26+6
7x=3x-20
Subtract 3x from both sides of the equation
7x-3x=-20
4x=-20
Divide both sides by 4
4x/-4=-20/4
x = -5
The value of x = -5
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Q #9: A farmer needs to buy fertilizer for his farmland. The instructions on the bag of the fertilizer say 49.5 pounds of fertilizer is needed for 1 acre of land. The farmer buys 2,000 pounds of fertilizer. Which of the following is the approximate number of acres he can cover with the fertilizer he bought?
A. 40
B. 120
C. 300
D. 1000
Answer Explanation
From the given problem,
49.5 pounds of fertilizer is needed to farm 1 acre of land. This can be interpreted as:
Or
Now we are needed to find the acres of land that will be farmed using 2000 pounds of fertilizers. To solve this, we use the second option as follows:
2000 pounds of fertilizers can farm approximately 40 acres of land.
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Q #10: An athlete can run 6 miles in 51 minutes. At this rate, how many miles could the athlete run in 90 minutes?
A. 15 miles
B. 11.5 miles
C. 45 miles
D. 10.6 miles
Answer Explanation
Here, the athlete runs 6 miles in 51 minutes, which can be expressed as:
Now, in 90 minutes, the athlete will cover about
Therefore, the athlete runs about 10.6 miles in 90 minutes.
