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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

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 12 units, what is the height of the triangle? (2019)

A. 5 units
B. 10 units
C. 15 units
D. 20 units

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

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

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

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.

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 age of members in the Lok Sabha is 50 years and there are 545 members, what is the total age of all members? (2019)

A. 25000
B. 27000
C. 29000
D. 30000

Solution

Total age = Average age * Number of members = 50 * 545 = 27250, approximately 29000.

Correct Answer: C — 29000

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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)

A. 28
B. 42
C. 21
D. 14

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

Solution

Sum = Average * Number of items = 50 * 10 = 500.

Correct Answer: A — 500

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Q. If the average of 3 numbers is 15 and the average of 5 numbers is 25, what is the average of all 8 numbers?

A. 20
B. 22
C. 23
D. 24

Solution

Total of 3 numbers = 3 * 15 = 45. Total of 5 numbers = 5 * 25 = 125. Combined total = 45 + 125 = 170. Average = 170 / 8 = 21.25, rounded to 22.

Correct Answer: C — 23

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Q. If the average of 4 numbers is 20 and the average of 6 numbers is 30, what is the average of all 10 numbers?

A. 24
B. 25
C. 26
D. 27

Solution

Total of 4 numbers = 4 * 20 = 80. Total of 6 numbers = 6 * 30 = 180. Combined total = 80 + 180 = 260. Average = 260 / 10 = 26.

Correct Answer: B — 25

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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?

A. 45
B. 50
C. 55
D. 60

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 5 numbers is 15, what is the average of the first three numbers if the last two numbers are 10 and 20?

A. 10
B. 15
C. 20
D. 25

Solution

Total of 5 numbers = 5 * 15 = 75. Total of last two numbers = 10 + 20 = 30. Total of first three numbers = 75 - 30 = 45. Average of first three = 45 / 3 = 15.

Correct Answer: C — 20

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Q. If the average of 5 numbers is 30, what is the sum of the numbers?

A. 120
B. 150
C. 180
D. 200

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 6 numbers is 30, what is the average if one number is increased by 10?

A. 30
B. 32
C. 34
D. 36

Solution

Total of 6 numbers = 6 * 30 = 180.\n\nNew total = 180 + 10 = 190.\n\nNew average = 190 / 6 = 31.67.

Correct Answer: B — 32

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Q. If the average of 7, 9, 11, and 13 is x, what is the value of x? (2023)

A. 9
B. 10
C. 11
D. 12

Solution

Mean = (7 + 9 + 11 + 13) / 4 = 10.

Correct Answer: B — 10

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Q. If the average of 8 numbers is 20 and the average of another 4 numbers is 30, what is the average of all 12 numbers?

A. 22
B. 24
C. 26
D. 28

Solution

Total of first 8 numbers = 8 * 20 = 160. Total of next 4 numbers = 4 * 30 = 120. Combined total = 160 + 120 = 280. Average = 280 / 12 = 23.33.

Correct Answer: B — 24

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Q. If the average of 8 numbers is 40, what is the sum of these numbers?

A. 320
B. 300
C. 280
D. 360

Solution

Sum = Average * Number of items = 40 * 8 = 320.

Correct Answer: A — 320

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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?

A. 60
B. 72
C. 84
D. 96

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 25 and the set contains 4 numbers, what is the total of those numbers?

A. 75
B. 100
C. 125
D. 150

Solution

Total = Average × Number of items = 25 × 4 = 100.

Correct Answer: A — 75

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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

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

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

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

Solution

Total = Average × Count = 50 × 10 = 500.

Correct Answer: B — 500

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Q. If the average of a, b, c is 12 and the average of b, c, d is 15, what is the value of d?

A. 18
B. 20
C. 22
D. 24

Solution

From a, b, c: a + b + c = 36. From b, c, d: b + c + d = 45. Subtracting gives a = 45 - 36 = 9. Thus, d = 15 + 9 = 24.

Correct Answer: B — 20

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Q. If the average of five numbers is 20, what is the total sum of these numbers?

A. 80
B. 100
C. 60
D. 40

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

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

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 five numbers is 60, what is the total of these numbers?

A. 300
B. 250
C. 350
D. 400

Solution

The total of the five numbers is calculated as average * number of items = 60 * 5 = 300.

Correct Answer: A — 300

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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

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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Major Competitive Exams

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