Q. If the area of triangle ABC is 60 cm² and the base BC = 12 cm, what is the height from A to BC?
A.
5 cm
B.
10 cm
C.
12 cm
D.
15 cm
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Solution
Area = (1/2) * base * height. Therefore, 60 = (1/2) * 12 * height, height = 10 cm.
Correct Answer: B — 10 cm
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Q. If the area of triangle ABC is 60 square units and the base AC is 12 units, what is the height from point B to line AC? (2019)
A.
5 units
B.
10 units
C.
15 units
D.
20 units
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Solution
Area = 1/2 * base * height. Therefore, 60 = 1/2 * 12 * height, which gives height = 10 units.
Correct Answer: A — 5 units
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Q. If the area of triangle ABC is 60 square units and the base is 10 units, what is the height of the triangle? (2019)
A.
6 units
B.
12 units
C.
10 units
D.
8 units
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Solution
Area = 1/2 * base * height. Therefore, 60 = 1/2 * 10 * height, which gives height = 12 units.
Correct Answer: A — 6 units
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Q. If the area of triangle ABC is 60 square units and the base is 12 units, what is the height? (2019)
A.
5 units
B.
10 units
C.
15 units
D.
20 units
Show solution
Solution
Area = 1/2 * base * height. Therefore, 60 = 1/2 * 12 * height, which gives height = 10 units.
Correct Answer: A — 5 units
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Q. If the area of triangle JKL is 30 cm² and the base JK is 10 cm, what is the height from point L?
A.
3 cm
B.
6 cm
C.
5 cm
D.
4 cm
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Solution
Area = 1/2 * base * height. 30 = 1/2 * 10 * height. Therefore, height = 6 cm.
Correct Answer: C — 5 cm
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Q. If the atmospheric pressure at sea level is 1013 hPa, what is the pressure at 5000 meters altitude approximately?
A.
500 hPa
B.
700 hPa
C.
800 hPa
D.
900 hPa
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Solution
The atmospheric pressure at 5000 meters is approximately 700 hPa.
Correct Answer: B — 700 hPa
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Q. If the atmospheric pressure is 1013 hPa, what is it in mmHg?
A.
760 mmHg
B.
800 mmHg
C.
850 mmHg
D.
900 mmHg
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Solution
The atmospheric pressure of 1013 hPa is equivalent to 760 mmHg.
Correct Answer: A — 760 mmHg
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Q. If the author were to write a follow-up paragraph, which of the following topics would be most relevant?
A.
The history of technological innovations.
B.
Case studies of successful technology implementations.
C.
Strategies for mitigating the risks associated with technology.
D.
The future of technology in developing countries.
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Solution
A follow-up paragraph would likely focus on strategies to address the risks mentioned, aligning with the critical tone of the passage.
Correct Answer: C — Strategies for mitigating the risks associated with technology.
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Q. If the average incubation period of a disease is 14 days, how many days will it take for 3 incubation periods to pass? (2020)
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Solution
Total days = 3 × 14 = 42 days.
Correct Answer: B — 42
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Q. If the average of 10 numbers is 50, what is the sum of these numbers?
A.
500
B.
600
C.
550
D.
450
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Solution
Sum = Average * Number of items = 50 * 10 = 500.
Correct Answer: A — 500
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Q. If the average of 4 numbers is 50 and one number is 60, what is the average of the remaining three numbers?
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Solution
Total of 4 numbers = 4 * 50 = 200. Remaining total = 200 - 60 = 140. Average of remaining = 140 / 3 = 46.67.
Correct Answer: A — 45
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Q. If the average of a set of numbers is 12 and there are 6 numbers, what is the total sum of the numbers?
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Solution
Total sum = Average * Number of items = 12 * 6 = 72.
Correct Answer: B — 72
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Q. If the average of a set of numbers is 50 and the set contains 10 numbers, what is the total of all the numbers in the set? (2023)
A.
400
B.
500
C.
600
D.
700
Show solution
Solution
Total = Average × Number of items = 50 × 10 = 500.
Correct Answer: B — 500
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Q. If the average of a set of numbers is 50 and the set contains 8 numbers, what is the total of all the numbers in the set? (2023)
A.
350
B.
400
C.
450
D.
500
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Solution
Total = Average × Number of items = 50 × 8 = 400.
Correct Answer: B — 400
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Q. If the average of a set of numbers is 50 and the set contains 8 numbers, what is the total sum of the numbers? (2023)
A.
350
B.
400
C.
450
D.
500
Show solution
Solution
Total sum = Average × Number of items = 50 × 8 = 400.
Correct Answer: B — 400
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Q. If the average of a set of numbers is 50 and there are 10 numbers in the set, what is the total of all the numbers? (2023)
A.
400
B.
500
C.
600
D.
700
Show solution
Solution
Total = Average × Count = 50 × 10 = 500.
Correct Answer: B — 500
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Q. If the average of five numbers is 20, what is the total sum of these numbers?
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Solution
Total sum = Average * Number of items = 20 * 5 = 100.
Correct Answer: A — 80
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Q. If the average of five numbers is 20, what is their total sum? (2023)
A.
80
B.
100
C.
120
D.
140
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Solution
Average = Total Sum / Number of Items. Therefore, Total Sum = Average × Number of Items = 20 × 5 = 100.
Correct Answer: A — 80
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Q. If the average of five numbers is 30, what is the sum of those numbers? (2023)
A.
120
B.
150
C.
180
D.
200
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Solution
Sum of the numbers = Average × Number of items = 30 × 5 = 150.
Correct Answer: A — 120
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Q. If the average of three consecutive integers is x, what is the value of x? (2023)
A.
x-1
B.
x
C.
x+1
D.
x+2
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Solution
Let the integers be (x-1), x, and (x+1). Their average is (x-1 + x + x+1) / 3 = x.
Correct Answer: B — x
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Q. If the average of two numbers is 30 and one of the numbers is 20, what is the other number?
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Solution
Let the two numbers be a and b. (a + b) / 2 = 30. If a = 20, then 20 + b = 60, hence b = 40.
Correct Answer: D — 40
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Q. If the average of two numbers is 40 and one of the numbers is 30, what is the other number? (2023)
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Solution
Let the other number be x. The average is (30 + x) / 2 = 40. Solving gives x = 50.
Correct Answer: B — 60
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Q. If the average velocity of a river increases from 2 m/s to 4 m/s, how does the discharge change if the width remains constant?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Increases by 50%
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Solution
Discharge is directly proportional to velocity. If velocity doubles, discharge also doubles.
Correct Answer: A — Doubles
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Q. If the azimuthal quantum number l = 1, what is the shape of the orbital?
A.
Spherical
B.
Dumbbell
C.
Double dumbbell
D.
None of the above
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Solution
The azimuthal quantum number l = 1 corresponds to p orbitals, which have a dumbbell shape.
Correct Answer: B — Dumbbell
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Q. If the balance length of a potentiometer is 50cm for a cell of unknown emf, and the potential gradient is 4 V/m, what is the emf of the cell?
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Solution
The emf is calculated as V = potential gradient × length = 4 V/m × 0.5 m = 2 V.
Correct Answer: B — 4V
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Q. If the balancing length of a potentiometer is found to be 40 cm for a cell of emf 2V, what is the potential gradient if the total length of the wire is 100 cm?
A.
5 V/m
B.
2 V/m
C.
4 V/m
D.
3 V/m
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Solution
The potential gradient is V/L = 2V/0.4m = 5 V/m.
Correct Answer: A — 5 V/m
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Q. If the bar graph illustrates the number of books sold by genre, which genre had the least sales?
A.
Fiction
B.
Non-Fiction
C.
Science
D.
History
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Solution
The bar graph shows that History had the least sales among the listed genres.
Correct Answer: D — History
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Q. If the bar graph indicates a 20% increase in orange sales from 2021 to 2022, what was the percentage of orange sales in 2021 if it was 1200 units in 2022? (2021)
A.
1000
B.
800
C.
600
D.
1200
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Solution
If orange sales increased by 20%, then 1200 units is 120% of the 2021 sales, which means 2021 sales were 1000 units.
Correct Answer: A — 1000
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Q. If the bar graph indicates a 20% increase in the sales of oranges from 2021 to 2022, what can be inferred about the trend? (2021)
A.
Sales are declining
B.
Sales are stable
C.
Sales are increasing
D.
Sales are unpredictable
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Solution
A 20% increase indicates a positive trend in sales for oranges.
Correct Answer: C — Sales are increasing
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Q. If the bar graph indicates a drop in sales for a specific product, what could be a possible reason?
A.
Increased competition
B.
Higher demand
C.
Improved marketing
D.
Seasonal trends
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Solution
A drop in sales could be attributed to increased competition in the market.
Correct Answer: A — Increased competition
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