Modern Math

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Q. In a geometric series where the first term is 4 and the common ratio is 2, what is the sum of the first 5 terms? (2023)
  • A. 60
  • B. 62
  • C. 64
  • D. 68
Q. In a geometric series where the first term is 4 and the common ratio is 2, what is the 6th term? (2023)
  • A. 64
  • B. 128
  • C. 256
  • D. 512
Q. In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many people like neither sport?
  • A. 30
  • B. 60
  • C. 90
  • D. 120
Q. In a group of 150 people, 90 like reading fiction, 60 like reading non-fiction, and 30 like both. How many like only non-fiction?
  • A. 30
  • B. 60
  • C. 90
  • D. 150
Q. In a group of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?
  • A. 30
  • B. 60
  • C. 90
  • D. 120
Q. In a group of 200 people, 120 like basketball, 80 like football, and 50 like both. How many like only basketball?
  • A. 70
  • B. 50
  • C. 80
  • D. 120
Q. In a group of 200 people, 120 like basketball, 80 like football, and 50 like both. How many people like only basketball?
  • A. 70
  • B. 50
  • C. 80
  • D. 120
Q. In a group of 200 people, 120 like football, 80 like basketball, and 40 like both. How many people like only football?
  • A. 40
  • B. 80
  • C. 120
  • D. 160
Q. In a group of 200 people, 120 like football, 80 like basketball, and 50 like both. How many people like only football?
  • A. 70
  • B. 50
  • C. 80
  • D. 120
Q. In a group of 200 people, 120 like football, 80 like basketball, and 50 like both. How many people like neither sport?
  • A. 30
  • B. 50
  • C. 70
  • D. 80
Q. In a group of 200 people, 120 like sports, 80 like music, and 50 like both. How many people like only music?
  • A. 30
  • B. 50
  • C. 80
  • D. 100
Q. In a group of 300 people, 150 like rock music, 100 like pop music, and 50 like both. How many people like only rock music?
  • A. 50
  • B. 100
  • C. 150
  • D. 200
Q. In a group of 50 people, 30 like chocolate, 20 like vanilla, and 10 like both. How many like only vanilla?
  • A. 10
  • B. 20
  • C. 30
  • D. 0
Q. In a library, 50 books are fiction, 30 are non-fiction, and 10 are both. How many books are only fiction?
  • A. 30
  • B. 40
  • C. 50
  • D. 10
Q. In a logical argument, if 'P implies Q' is true, which of the following is a valid conclusion?
  • A. If Q is true, then P must be true.
  • B. If P is false, then Q must be false.
  • C. If P is true, then Q must be true.
  • D. If Q is false, then P must be false.
Q. In a logical argument, what does the term 'premise' refer to?
  • A. The conclusion drawn from the argument
  • B. The evidence supporting the conclusion
  • C. The contradiction in the argument
  • D. The assumption made without proof
Q. In a lottery, the probability of winning is 0.05. If a person buys 10 tickets, what is the probability of winning at least once?
  • A. 0.5
  • B. 0.4
  • C. 0.6
  • D. 0.3
Q. In a lottery, the probability of winning is 0.05. If a person plays the lottery 10 times, what is the probability of winning exactly once?
  • A. 0.5
  • B. 0.4
  • C. 0.3
  • D. 0.2
Q. In a mathematical context, what does the term 'algorithm' refer to?
  • A. A type of geometric shape
  • B. A step-by-step procedure for calculations
  • C. A statistical method for data analysis
  • D. A theorem in number theory
Q. In a sequence defined by a_n = 3n + 1, what is the value of a_7? (2023)
  • A. 22
  • B. 21
  • C. 20
  • D. 19
Q. In a sequence defined by a_n = 3n + 2, what is the value of a_7? (2023)
  • A. 23
  • B. 20
  • C. 19
  • D. 21
Q. In a sequence defined by a_n = n^2 + n, what is the value of a_5? (2023)
  • A. 30
  • B. 25
  • C. 20
  • D. 15
Q. In a sequence defined by the formula a_n = 3n + 2, what is the value of a_7? (2023)
  • A. 23
  • B. 20
  • C. 19
  • D. 21
Q. In a sequence of numbers where each term is the sum of the two preceding ones, which of the following terms is the 6th term if the first two terms are 1 and 1?
  • A. 5
  • B. 8
  • C. 13
  • D. 21
Q. In a sequence where each term is double the previous term, starting from 1, what is the 8th term? (2023)
  • A. 128
  • B. 64
  • C. 256
  • D. 512
Q. In a sequence where each term is double the previous term, starting from 1, what is the 6th term? (2023)
  • A. 32
  • B. 64
  • C. 128
  • D. 256
Q. In a sequence where each term is the square of its position, what is the sum of the first 4 terms? (2023)
  • A. 30
  • B. 20
  • C. 10
  • D. 40
Q. In a sequence where each term is the sum of the previous two terms, if the first two terms are 2 and 3, what is the fifth term? (2023)
  • A. 8
  • B. 13
  • C. 21
  • D. 34
Q. In a sequence where each term is the sum of the previous two terms, if the first two terms are 2 and 3, what is the 5th term? (2023)
  • A. 8
  • B. 13
  • C. 21
  • D. 34
Q. In a series where each term is double the previous term, starting from 1, what is the 6th term? (2023)
  • A. 32
  • B. 64
  • C. 16
  • D. 8
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