Q. What is the median of the following data set: 3, 7, 9, 5, 11?
Solution
First, arrange the data in ascending order: 3, 5, 7, 9, 11. The median is the middle value, which is 7.
Correct Answer:
B
— 7
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Q. What is the median of the following data set: 5, 3, 8, 6, 2, 4?
Solution
Arrange the numbers: 2, 3, 4, 5, 6, 8. The median is the average of the 3rd and 4th values: (4 + 5) / 2 = 4.5.
Correct Answer:
C
— 5.5
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Q. What is the median of the following data: 1, 2, 3, 4, 5, 6, 7, 8?
Solution
Arrange the numbers: 1, 2, 3, 4, 5, 6, 7, 8. The median is the average of the 4th and 5th values: (4 + 5) / 2 = 4.5.
Correct Answer:
B
— 4.5
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Q. What is the median of the following numbers: 10, 20, 30, 40, 50, 60, 70? (2022)
Solution
The numbers are in order. The median is the 4th number, which is 40.
Correct Answer:
B
— 40
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Q. What is the median of the following numbers: 22, 18, 25, 30, 20? (2021)
Solution
Arranging the numbers: 18, 20, 22, 25, 30. The median is the middle number, which is 22.
Correct Answer:
A
— 20
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Q. What is the median of the following numbers: 8, 3, 5, 12, 7, 10? (2023)
Solution
Arrange the numbers: 3, 5, 7, 8, 10, 12. The median is the average of the 3rd and 4th numbers: (7 + 8) / 2 = 7.5.
Correct Answer:
C
— 8
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Q. What is the median of the following set of numbers: 3, 5, 7, 9, 11? (2022)
Solution
To find the median, arrange the numbers in order: 3, 5, 7, 9, 11. The median is the middle number, which is 7.
Correct Answer:
B
— 7
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Q. What is the median of the following set of numbers: 3, 7, 5, 9, 1? (2021)
Solution
To find the median, first arrange the numbers in ascending order: 1, 3, 5, 7, 9. The median is the middle number, which is 5.
Correct Answer:
B
— 5
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Q. What is the median of the following set of numbers: 3, 7, 9, 5, 11? (2020)
Solution
Arranging the numbers: 3, 5, 7, 9, 11. The median is the middle value, which is 7.
Correct Answer:
B
— 7
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Q. What is the median of the following set: 4, 1, 7, 3, 9, 2? (2022)
Solution
Arranging the numbers: 1, 2, 3, 4, 7, 9. The median is the average of the 3rd and 4th numbers: (3 + 4) / 2 = 3.5.
Correct Answer:
A
— 3
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Q. What is the middle term in the expansion of (x + 2)^6?
Solution
The middle term in the expansion of (x + 2)^6 is the 4th term, which is C(6, 3)(x)^3(2)^3 = 20 * x^3 * 8 = 160x^3. The coefficient is 160.
Correct Answer:
C
— 80
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Q. What is the minimum age for a candidate to contest for the Lok Sabha elections in India? (2021)
-
A.
25 years
-
B.
30 years
-
C.
21 years
-
D.
18 years
Solution
According to Article 84 of the Indian Constitution, the minimum age for a candidate to contest for the Lok Sabha is 25 years.
Correct Answer:
A
— 25 years
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Q. What is the minimum age required to be eligible for election as a member of the Lok Sabha in India?
-
A.
25 years
-
B.
30 years
-
C.
21 years
-
D.
18 years
Solution
According to Article 84 of the Indian Constitution, the minimum age to be a member of the Lok Sabha is 25 years.
Correct Answer:
A
— 25 years
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Q. What is the minimum age required to be eligible for the Lok Sabha elections in India? (2021)
-
A.
18 years
-
B.
21 years
-
C.
25 years
-
D.
30 years
Solution
According to Article 84 of the Indian Constitution, a person must be at least 25 years old to be eligible for the Lok Sabha elections.
Correct Answer:
C
— 25 years
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Q. What is the minimum age to be eligible for election as a member of the Lok Sabha in India?
-
A.
25 years
-
B.
30 years
-
C.
21 years
-
D.
18 years
Solution
According to Article 84 of the Indian Constitution, the minimum age to be a member of the Lok Sabha is 25 years.
Correct Answer:
A
— 25 years
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Q. What is the minimum age to be eligible for the Lok Sabha elections in India? (2021)
-
A.
18 years
-
B.
21 years
-
C.
25 years
-
D.
30 years
Solution
According to Article 84 of the Indian Constitution, a person must be at least 25 years old to be eligible for the Lok Sabha elections.
Correct Answer:
C
— 25 years
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Q. What is the minimum energy required to remove an electron from a hydrogen atom in its ground state? (Ionization energy = 13.6 eV) (2023)
-
A.
1.6 x 10^-19 J
-
B.
2.18 x 10^-18 J
-
C.
13.6 eV
-
D.
3.2 x 10^-19 J
Solution
The minimum energy required to remove an electron from a hydrogen atom in its ground state is 13.6 eV.
Correct Answer:
C
— 13.6 eV
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Q. What is the minimum value of f(x) = 2x^2 - 8x + 10? (2021)
Solution
The minimum occurs at x = -b/(2a) = 8/(2*2) = 2. f(2) = 2(2^2) - 8(2) + 10 = 2.
Correct Answer:
A
— 1
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Q. What is the minimum value of f(x) = 4x^2 - 16x + 15? (2022)
Solution
The minimum occurs at x = -b/(2a) = 16/(2*4) = 2. f(2) = 4(2^2) - 16(2) + 15 = 1.
Correct Answer:
B
— 2
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Q. What is the minimum value of the function f(x) = 2x^2 + 4x + 1? (2023)
Solution
The vertex is at x = -4/(2*2) = -1. The minimum value is f(-1) = 2(-1)^2 + 4(-1) + 1 = -1.
Correct Answer:
B
— 1
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Q. What is the minimum value of the function f(x) = 3x^2 - 12x + 7? (2019)
Solution
The minimum occurs at x = -b/(2a) = 12/(2*3) = 2. f(2) = 3(2^2) - 12(2) + 7 = 1.
Correct Answer:
B
— -1
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Q. What is the mode of the following data set: 2, 3, 4, 2, 5, 2, 3? (2023)
Solution
Mode is the number that appears most frequently. Here, 2 appears 3 times.
Correct Answer:
A
— 2
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Q. What is the mode of the following data set: 2, 3, 4, 4, 5, 5, 5, 6? (2023)
Solution
Mode is the number that appears most frequently. Here, 5 appears 3 times.
Correct Answer:
B
— 5
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Q. What is the mode of the following data set: 3, 7, 3, 2, 5, 3, 8? (2023)
Solution
The mode is the number that appears most frequently. Here, 3 appears 3 times, which is more than any other number.
Correct Answer:
B
— 3
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Q. What is the mode of the following data set: 4, 1, 2, 4, 3, 4, 2? (2023)
Solution
The number 4 appears most frequently (3 times). Hence, mode = 4.
Correct Answer:
D
— 4
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Q. What is the mode of the following data set: 4, 1, 2, 4, 3, 4, 5? (2019)
Solution
The mode is the number that appears most frequently. Here, 4 appears 3 times, so the mode is 4.
Correct Answer:
C
— 4
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Q. What is the mode of the following data set: 5, 6, 7, 5, 8, 5, 9?
Solution
Mode is the number that appears most frequently. Here, 5 appears four times.
Correct Answer:
A
— 5
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Q. What is the mode of the following numbers: 1, 1, 2, 3, 3, 3, 4, 4?
Solution
The mode is 3, as it appears 3 times, more than any other number.
Correct Answer:
C
— 3
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Q. What is the mode of the following numbers: 1, 2, 2, 3, 4, 4, 4, 5?
Solution
The mode is 4, as it appears 3 times, which is more than any other number.
Correct Answer:
D
— 4
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Q. What is the mode of the following numbers: 2, 3, 3, 4, 4, 5, 5, 5?
Solution
The mode is 5, as it appears 3 times, which is more than any other number.
Correct Answer:
D
— 5
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