Major Competitive Exams

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Q. In how many ways can 7 people be divided into 3 groups if one group must have 3 people?
  • A. 210
  • B. 300
  • C. 420
  • D. 560
Q. In how many ways can the letters of the word 'BOOK' be arranged? (2022)
  • A. 12
  • B. 24
  • C. 16
  • D. 8
Q. In how many ways can the letters of the word 'LEVEL' be arranged?
  • A. 60
  • B. 30
  • C. 20
  • D. 40
Q. In how many ways can the letters of the word 'SCHOOL' be arranged?
  • A. 720
  • B. 360
  • C. 480
  • D. 600
Q. In how many years will a sum of money triple itself at 10% per annum compound interest? (2023)
  • A. 10 years
  • B. 12 years
  • C. 15 years
  • D. 20 years
Q. In how many years will a sum of money triple itself at a compound interest rate of 10% per annum?
  • A. 10 years
  • B. 12 years
  • C. 15 years
  • D. 20 years
Q. In humans, the allele for brown eyes (B) is dominant over the allele for blue eyes (b). What is the genotype of a person with blue eyes? (2019)
  • A. BB
  • B. Bb
  • C. bb
  • D. bB
Q. In mathematical logic, what is a 'fallacy'?
  • A. A valid argument that leads to a false conclusion.
  • B. An error in reasoning that renders an argument invalid.
  • C. A type of mathematical proof.
  • D. A method for solving equations.
Q. In measurements, what does precision refer to? (2022)
  • A. Closeness to the true value
  • B. Consistency of repeated measurements
  • C. Range of values
  • D. Average of measurements
Q. In measurements, what does the term 'precision' refer to? (2022)
  • A. Closeness to the true value
  • B. Consistency of repeated measurements
  • C. Range of values
  • D. Average of measurements
Q. In Mendel's experiments, which trait was observed to be dominant in pea plants? (2018)
  • A. Green seed color
  • B. Yellow seed color
  • C. Wrinkled seeds
  • D. Short plants
Q. In Mendel's experiments, which trait was observed to be dominant over the other? (2018)
  • A. Green seed color
  • B. Yellow seed color
  • C. Round seed shape
  • D. Wrinkled seed shape
Q. In meteorology, what does the term 'anemometer' refer to?
  • A. A device to measure temperature
  • B. A device to measure humidity
  • C. A device to measure wind speed
  • D. A device to measure atmospheric pressure
Q. In meteorology, what does the term 'isobar' refer to?
  • A. Line of equal temperature
  • B. Line of equal pressure
  • C. Line of equal humidity
  • D. Line of equal wind speed
Q. In Microsoft Word, what is the shortcut key to save a document?
  • A. Ctrl + S
  • B. Ctrl + P
  • C. Ctrl + C
  • D. Ctrl + V
Q. In Microsoft Word, which shortcut key is used to save a document? (2023)
  • A. Ctrl + S
  • B. Ctrl + P
  • C. Ctrl + C
  • D. Ctrl + V
Q. In modern mathematics, what does the term 'topology' refer to?
  • A. The study of shapes and their properties under continuous transformations.
  • B. The analysis of numerical data.
  • C. The calculation of areas and volumes.
  • D. The study of algebraic structures.
Q. In modern mathematics, what is the importance of 'linear algebra'?
  • A. It focuses solely on geometric shapes.
  • B. It deals with vector spaces and linear mappings.
  • C. It is irrelevant to real-world applications.
  • D. It simplifies calculus problems.
Q. In modern mathematics, what is the role of 'topology'?
  • A. To study the properties of space that are preserved under continuous transformations
  • B. To analyze numerical data
  • C. To solve algebraic equations
  • D. To explore geometric shapes
Q. In modular arithmetic, what is the multiplicative inverse of 3 mod 11?
  • A. 4
  • B. 7
  • C. 8
  • D. 9
Q. In modular arithmetic, what is the multiplicative inverse of 3 modulo 11?
  • A. 4
  • B. 7
  • C. 8
  • D. 9
Q. In modular arithmetic, which of the following is a valid operation?
  • A. Adding two numbers and taking mod
  • B. Subtracting two numbers and taking mod
  • C. Multiplying two numbers and taking mod
  • D. All of the above
Q. In modular arithmetic, which of the following is true for any integer a?
  • A. a mod 1 = 0
  • B. a mod a = 1
  • C. a mod 0 is undefined
  • D. a mod 2 = 0 or 1
Q. In modular arithmetic, which of the following is true for any integer k?
  • A. k mod 1 = 0
  • B. k mod k = 1
  • C. k mod 0 is undefined
  • D. k mod k = 0
Q. In molecular orbital theory, which of the following orbitals is filled first?
  • A. σ2s
  • B. σ*2s
  • C. π2p
  • D. σ2p
Q. In molecular orbital theory, which of the following orbitals is the highest energy in O2?
  • A. σ2p
  • B. π2p
  • C. σ2s
  • D. π2s
Q. In molecular orbital theory, which of the following statements is correct regarding the energy levels of orbitals?
  • A. σ orbitals are always lower than π orbitals.
  • B. π orbitals are always lower than σ orbitals.
  • C. σ* orbitals are always higher than π* orbitals.
  • D. Energy levels can vary based on the atoms involved.
Q. In nuclear fission, the mass of the products is less than the mass of the reactants. What is this mass difference converted into? (2019)
  • A. Kinetic energy
  • B. Potential energy
  • C. Binding energy
  • D. Radiation
Q. In nuclear fission, the mass of the products is less than the mass of the reactants. What is this mass difference called? (2019)
  • A. Nuclear mass
  • B. Binding energy
  • C. Mass defect
  • D. Fission energy
Q. In nuclear fission, what is released apart from energy?
  • A. Neutrons
  • B. Protons
  • C. Electrons
  • D. Photons
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