Major Competitive Exams

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Q. If R1 = 10Ω, R2 = 20Ω, R3 = 30Ω, and R4 = 60Ω in a Wheatstone bridge, is the bridge balanced?
  • A. Yes
  • B. No
  • C. Depends on the voltage
  • D. Depends on the current
Q. If R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω in a Wheatstone bridge, what is the value of R4 for balance?
  • A.
  • B.
  • C.
  • D.
Q. If R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for the Wheatstone bridge to be balanced?
  • A.
  • B.
  • C.
  • D.
Q. If R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω in a Wheatstone bridge, what is the value of R4 for balance?
  • A. 7.5Ω
  • B. 10Ω
  • C. 15Ω
  • D. 20Ω
Q. If R1 = 5Ω, R2 = 15Ω, R3 = 10Ω, what should R4 be for the Wheatstone bridge to be balanced?
  • A. 30Ω
  • B. 10Ω
  • C. 15Ω
  • D.
Q. If S is seated to the left of T and U is seated to the right of T, who is in the middle?
  • A. S
  • B. T
  • C. U
  • D. None of the above
Q. If S is the daughter of T and U is the son of T, how is S related to U? (2023)
  • A. Sister
  • B. Cousin
  • C. Aunt
  • D. Niece
Q. If S is the daughter of T and U, and T is the son of V, what is the relationship of V to S? (2023)
  • A. Grandfather
  • B. Father
  • C. Uncle
  • D. Brother
Q. If S is the sister of T and U is the brother of T, how is S related to U? (2023)
  • A. Sister
  • B. Cousin
  • C. Aunt
  • D. Mother
Q. If Sarah has a meeting every Tuesday and today is Tuesday, when is her next meeting?
  • A. Today
  • B. Next Tuesday
  • C. Tomorrow
  • D. This Friday
Q. If Sarah is the daughter of David and David is the son of Robert, what is Robert's relationship to Sarah?
  • A. Grandfather
  • B. Father
  • C. Uncle
  • D. Brother
Q. If sec A = 2, what is the value of cos A?
  • A. 1/2
  • B. 2
  • C. √2
  • D. 1
Q. If sec θ = 2, what is the value of cos θ?
  • A. 1/2
  • B. 2
  • C. 1
  • D. 0
Q. If sec(x) = 2, what is the value of cos(x)?
  • A. 1/2
  • B. 2
  • C. √3/2
  • D. 1
Q. If set A = {1, 2, 3, 4} and set B = {3, 4, 5, 6}, what is the difference A - B?
  • A. {1, 2}
  • B. {3, 4}
  • C. {5, 6}
  • D. {}
Q. If set A = {1, 2, 3, 4} and set B = {3, 4, 5, 6}, what is the intersection of sets A and B? (2023)
  • A. {1, 2}
  • B. {3, 4}
  • C. {5, 6}
  • D. {1, 2, 5, 6}
Q. If set A = {1, 2, 3} and set B = {2, 3, 4}, what is A - B? (2023)
  • A. {1}
  • B. {2, 3}
  • C. {3, 4}
  • D. {}
Q. If set A = {a, b, c} and set B = {b, c, d}, what is the hybrid set formed by the intersection of A and B?
  • A. {a, b, c, d}
  • B. {b, c}
  • C. {a, d}
  • D. {}
Q. If set A = {x | x is an even number less than 10} and set B = {x | x is a prime number less than 10}, what is A ∩ B?
  • A. {2, 4, 6, 8}
  • B. {2}
  • C. {2, 3, 5, 7}
  • D. {2, 3, 5, 7, 4, 6, 8}
Q. If set A contains 10 elements, set B contains 15 elements, and the intersection of A and B contains 5 elements, how many elements are in the union of sets A and B?
  • A. 20
  • B. 15
  • C. 10
  • D. 25
Q. If set A contains 10 elements, set B contains 15 elements, and the intersection of A and B contains 5 elements, what is the number of elements in the union of sets A and B?
  • A. 20
  • B. 15
  • C. 10
  • D. 5
Q. If set A contains 15 elements, set B contains 10 elements, and the intersection of A and B contains 5 elements, how many elements are in the union of sets A and B?
  • A. 20
  • B. 25
  • C. 10
  • D. 15
Q. If set A contains 15 elements, set B contains 10 elements, and the intersection of A and B contains 5 elements, what is the number of elements in the union of sets A and B?
  • A. 20
  • B. 25
  • C. 15
  • D. 10
Q. If set A contains the elements {1, 2, 3, 4} and set B contains the elements {3, 4, 5, 6}, what is the intersection of sets A and B?
  • A. {1, 2}
  • B. {3, 4}
  • C. {5, 6}
  • D. {1, 2, 3, 4, 5, 6}
Q. If set A contains the numbers {1, 2, 3, 4, 5} and set B contains the numbers {4, 5, 6, 7, 8}, what is the intersection of sets A and B?
  • A. {1, 2, 3}
  • B. {4, 5}
  • C. {6, 7, 8}
  • D. {1, 2, 3, 4, 5, 6, 7, 8}
Q. If set C = {x | x is a multiple of 3 and less than 30}, how many elements are in set C?
  • A. 8
  • B. 9
  • C. 10
  • D. 11
Q. If set C is a hybrid set formed by combining set A and set B, which of the following is a possible characteristic of set C?
  • A. Set C cannot have any elements from set A.
  • B. Set C must have all elements from set B.
  • C. Set C may have elements that are exclusive to either set A or set B.
  • D. Set C will always be larger than both set A and set B.
Q. If set C is a hybrid set formed by combining set A and set B, which of the following must be true?
  • A. All elements of set A are in set C.
  • B. Set C cannot have more elements than set A.
  • C. Set C must contain at least one element from set B.
  • D. Set C is identical to set A.
Q. If set C is defined as the set of all x such that x is a multiple of 3 and less than 15, which of the following is a member of set C?
  • A. 12
  • B. 15
  • C. 9
  • D. 16
Q. If set C is defined as {x | x is an integer and x is divisible by 3}, which of the following integers is NOT a member of set C?
  • A. 6
  • B. 9
  • C. 10
  • D. 12
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