Major Competitive Exams

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Q. In a modular arithmetic system, if 8 is congruent to 2 modulo n, what can be concluded about n?
  • A. n must be 6
  • B. n must be a factor of 6
  • C. n must be greater than 6
  • D. n must be less than 6
Q. In a modular arithmetic system, if 9 is congruent to y modulo 4, what is the value of y?
  • A. 1
  • B. 2
  • C. 3
  • D. 0
Q. In a modular arithmetic system, if a ≡ b (mod m) and c ≡ d (mod m), which of the following is not necessarily true?
  • A. a + c ≡ b + d (mod m)
  • B. a - c ≡ b - d (mod m)
  • C. a * c ≡ b * d (mod m)
  • D. a / c ≡ b / d (mod m)
Q. In a modular arithmetic system, if a ≡ b (mod m), which of the following statements is true?
  • A. a - b is divisible by m
  • B. a + b is divisible by m
  • C. a * b is divisible by m
  • D. a / b is divisible by m
Q. In a modular system with modulus 12, what is the result of 15 + 10?
  • A. 5
  • B. 7
  • C. 3
  • D. 1
Q. In a modular system with modulus 5, what is the result of (3 + 4) mod 5?
  • A. 2
  • B. 1
  • C. 0
  • D. 3
Q. In a modular system, if 12 is congruent to 0 modulo n, which of the following must be true?
  • A. n is a factor of 12
  • B. n is greater than 12
  • C. n is less than 12
  • D. n is a prime number
Q. In a modular system, if a ≡ b (mod m) and c ≡ d (mod m), which of the following is true?
  • A. a + c ≡ b + d (mod m)
  • B. a - c ≡ b - d (mod m)
  • C. a * c ≡ b * d (mod m)
  • D. All of the above
Q. In a modular system, if a ≡ b (mod n) and c ≡ d (mod n), which of the following is true?
  • A. a + c ≡ b + d (mod n)
  • B. a - c ≡ b - d (mod n)
  • C. a * c ≡ b * d (mod n)
  • D. All of the above
Q. In a moving coil galvanometer, what is the role of the spring?
  • A. To provide a magnetic field
  • B. To measure current
  • C. To return the coil to its original position
  • D. To increase sensitivity
Q. In a multi-table data set showing the expenses of three departments (HR, IT, Sales) over four months, which department had the highest total expenses?
  • A. HR
  • B. IT
  • C. Sales
  • D. All equal
Q. In a multi-table data set showing the expenses of three departments (HR, IT, Sales) for two years, which department had the highest total expenses over the two years?
  • A. HR
  • B. IT
  • C. Sales
  • D. All equal
Q. In a multi-table data set showing the expenses of three departments (HR, IT, Sales) for four quarters, which department had the highest expense in Q2?
  • A. HR
  • B. IT
  • C. Sales
  • D. All equal
Q. In a multi-table data set showing the sales of different fruits in two regions, which fruit had the highest sales in Region 1?
  • A. Apples
  • B. Bananas
  • C. Cherries
  • D. Dates
Q. In a national election, if 65% of the votes are in favor of a candidate and there are 1,000,000 votes cast, how many votes did the candidate receive?
  • A. 650,000
  • B. 600,000
  • C. 700,000
  • D. 750,000
Q. In a national event, 60% of participants are male. If there are 240 participants, how many are female?
  • A. 96
  • B. 144
  • C. 120
  • D. 150
Q. In a national event, 60% of the participants are male. If there are 240 participants, how many are female?
  • A. 96
  • B. 144
  • C. 120
  • D. 108
Q. In a national event, if 70% of the attendees are adults and there are 1,000 attendees, how many are not adults?
  • A. 300
  • B. 200
  • C. 400
  • D. 500
Q. In a national event, if the ratio of male to female participants is 3:2 and there are 150 participants, how many are female? (2022)
  • A. 60
  • B. 90
  • C. 75
  • D. 45
Q. In a national survey, 30% of respondents reported being satisfied with government services. If 1,200 people were surveyed, how many were satisfied?
  • A. 360
  • B. 300
  • C. 240
  • D. 400
Q. In a national survey, 70% of respondents support a new policy. If 1,200 people were surveyed, how many support the policy?
  • A. 840
  • B. 700
  • C. 600
  • D. 720
Q. In a network, if the bandwidth is 100 Mbps, how many megabytes can be transferred in 10 seconds?
  • A. 10 MB
  • B. 12.5 MB
  • C. 100 MB
  • D. 125 MB
Q. In a Newton's ring experiment, if the radius of the first dark ring is found to be r, what is the radius of the second dark ring? (2020)
  • A. r
  • B. 2r
  • C. √2r
  • D. r/2
Q. In a Newton's rings experiment, if the radius of the nth dark ring is r_n, what is the relationship between r_n and the wavelength λ? (2021)
  • A. r_n ∝ nλ
  • B. r_n ∝ √nλ
  • C. r_n ∝ n²λ
  • D. r_n ∝ n/λ
Q. In a Newton's rings experiment, if the radius of the ring increases, what can be inferred about the wavelength of light used?
  • A. Wavelength is increasing
  • B. Wavelength is decreasing
  • C. Wavelength remains constant
  • D. Wavelength cannot be determined
Q. In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?
  • A. 50%
  • B. 68%
  • C. 75%
  • D. 95%
Q. In a normal distribution, what percentage of data lies within one standard deviation from the mean?
  • A. 68%
  • B. 95%
  • C. 99%
  • D. 50%
Q. In a normal distribution, what percentage of data lies within one standard deviation of the mean?
  • A. 50%
  • B. 68%
  • C. 75%
  • D. 95%
Q. In a nuclear reaction, if a nucleus emits an alpha particle, what happens to its atomic number? (2023)
  • A. It increases by 2
  • B. It decreases by 2
  • C. It remains the same
  • D. It decreases by 4
Q. In a nuclear reaction, what is conserved?
  • A. Mass only
  • B. Charge only
  • C. Mass and charge
  • D. Energy only
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