Major Competitive Exams

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Q. If a set is defined as {x | x is a fruit and x is red}, which of the following fruits would NOT be included in this set?
  • A. Apple
  • B. Banana
  • C. Cherry
  • D. Strawberry
Q. If a set is defined as {x | x is a letter in the English alphabet and x is a consonant}, which of the following letters is NOT included in this set?
  • A. B
  • B. E
  • C. K
  • D. T
Q. If a set is defined as {x | x is a letter in the English alphabet and x is a vowel}, which of the following is an element of this set?
  • A. B
  • B. C
  • C. A
  • D. D
Q. If a set is defined as {x | x is a letter in the English alphabet and x is a vowel}, which of the following letters is NOT an element of this set?
  • A. A
  • B. E
  • C. I
  • D. Z
Q. If a set is defined as {x | x is a letter in the English alphabet that is a vowel}, which of the following letters is NOT in the set?
  • A. A
  • B. E
  • C. I
  • D. Y
Q. If a set is defined as {x | x is a natural number and x < 10}, which of the following is a valid element of this set?
  • A. 10
  • B. 5
  • C. 0
  • D. 15
Q. If a set is defined as {x | x is a natural number and x < 10}, which of the following is the correct representation of this set?
  • A. {1, 2, 3, 4, 5, 6, 7, 8, 9}
  • B. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
  • C. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
  • D. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Q. If a set is defined as {x | x is a natural number and x < 10}, which of the following is the largest element in this set?
  • A. 8
  • B. 9
  • C. 10
  • D. 7
Q. If a set is defined as {x | x is a natural number and x < 5}, which of the following elements is NOT part of this set?
  • A. 1
  • B. 3
  • C. 5
  • D. 4
Q. If a set is defined as {x | x is a natural number less than 20 and even}, which of the following numbers is included in the set?
  • A. 1
  • B. 3
  • C. 10
  • D. 21
Q. If a set is defined as {x | x is a positive integer and x is a divisor of 12}, which of the following is NOT an element of this set?
  • A. 1
  • B. 2
  • C. 3
  • D. 5
Q. If a set is defined as {x | x is a positive integer and x is a multiple of 3}, which of the following is NOT an element of this set?
  • A. 3
  • B. 6
  • C. 9
  • D. 10
Q. If a set is defined as {x | x is a prime number less than 10}, which of the following elements is NOT in the set?
  • A. 2
  • B. 3
  • C. 5
  • D. 4
Q. If a set is defined as {x | x is a prime number less than 20}, which of the following elements is NOT included in the set?
  • A. 2
  • B. 3
  • C. 4
  • D. 19
Q. If a set is defined as {x | x is a prime number less than 20}, which of the following elements is NOT included in this set?
  • A. 2
  • B. 3
  • C. 4
  • D. 19
Q. If a set is defined as {x | x is an even number greater than 0 and less than 20}, which of the following is NOT an element of this set?
  • A. 2
  • B. 4
  • C. 10
  • D. 21
Q. If a set is defined as {x | x is an integer and 1 ≤ x ≤ 10}, which of the following is a valid operation on this set?
  • A. Adding 5 to each element.
  • B. Removing all even numbers.
  • C. Doubling each element.
  • D. All of the above.
Q. If a set is defined by the constraint of being a natural number, which of the following is included?
  • A. -1
  • B. 0
  • C. 1
  • D. 2.5
Q. If a set is defined by the constraints 'x is a natural number and x < 10', which of the following is an element of this set?
  • A. 10
  • B. 5
  • C. 0
  • D. -3
Q. If a set is defined by the constraints 'x is a real number and x^2 < 16', which of the following is NOT an element of this set?
  • A. −3
  • B. 3
  • C. 4
  • D. −4
Q. If a set is defined by the constraints 'x is a real number and x^2 < 4', which of the following intervals represents this set?
  • A. (-2, 2)
  • B. (-4, 4)
  • C. (-2, 2]
  • D. [0, 2)
Q. If a set is defined by the constraints 'x is an integer and x > 5', which of the following is NOT an element of this set?
  • A. 6
  • B. 7
  • C. 5
  • D. 8
Q. If a set is defined by the constraints of being a vowel and a letter in the English alphabet, which of the following is an example of an element in this set?
  • A. B
  • B. C
  • C. A
  • D. D
Q. If a set is defined by the constraints of being both a multiple of 3 and less than 30, which of the following is an element of this set?
  • A. 9
  • B. 10
  • C. 15
  • D. 31
Q. If a set of students is defined by the constraint of having a GPA above 3.5, which of the following students would be included?
  • A. Alice with a GPA of 3.4
  • B. Bob with a GPA of 3.6
  • C. Charlie with a GPA of 3.5
  • D. Diana with a GPA of 3.2
Q. If a shift starts at 10 PM and ends at 6 AM, how long is the shift?
  • A. 6 hours
  • B. 8 hours
  • C. 10 hours
  • D. 4 hours
Q. If a shift starts at 11:00 PM and ends at 7:00 AM, how many hours does it cover?
  • A. 6 hours
  • B. 7 hours
  • C. 8 hours
  • D. 9 hours
Q. If a shift starts at 9:00 AM and ends at 5:00 PM, how many hours is the shift?
  • A. 7 hours
  • B. 8 hours
  • C. 9 hours
  • D. 6 hours
Q. If a shirt costs $30 and is on a 20% discount, what is the sale price?
  • A. $24
  • B. $25
  • C. $26
  • D. $27
Q. If a shirt costs $40 after a 20% discount, what was its original price?
  • A. $50
  • B. $45
  • C. $40
  • D. $60
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