Q. If a machine has an efficiency of 80% and it does 400 J of useful work, how much energy was supplied to the machine? (2023)
  • A. 500 J
  • B. 400 J
  • C. 320 J
  • D. 600 J
Q. If a matrix has more columns than rows, it is called a: (2022)
  • A. Row matrix
  • B. Column matrix
  • C. Rectangular matrix
  • D. Square matrix
Q. If a matrix is both upper triangular and lower triangular, what type of matrix is it? (2020)
  • A. Zero matrix
  • B. Identity matrix
  • C. Diagonal matrix
  • D. Square matrix
Q. If a matrix is diagonal, what can be said about its non-diagonal elements? (2020)
  • A. They are all zero
  • B. They are all one
  • C. They can be any value
  • D. They are negative
Q. If a matrix is diagonal, which of the following must be true? (2020)
  • A. All elements are zero
  • B. Only diagonal elements are non-zero
  • C. All elements are equal
  • D. It is a square matrix
Q. If a matrix is said to be orthogonal, what property does it have?
  • A. All elements are zero
  • B. Transpose is equal to its inverse
  • C. All diagonal elements are equal
  • D. It is a square matrix
Q. If a matrix is said to be skew-symmetric, what must be true about its elements? (2023)
  • A. All elements are zero
  • B. a_ij = -a_ji
  • C. a_ij = a_ji
  • D. All diagonal elements are zero
Q. If a matrix is symmetric, what can be said about its elements? (2021)
  • A. Aij = Aji
  • B. Aij = -Aji
  • C. Aij = 0
  • D. Aij = Aii
Q. If a matrix is symmetric, what property does it have?
  • A. A = A^T
  • B. A = -A
  • C. A^2 = I
  • D. A = 0
Q. If a matrix is symmetric, which of the following must be true? (2021)
  • A. A = A^T
  • B. A = -A^T
  • C. A^2 = I
  • D. A^T = 0
Q. If a meal contains 40 grams of carbohydrates, 10 grams of protein, and 5 grams of fat, how many total calories does it provide? (Carbohydrates = 4 cal/g, Protein = 4 cal/g, Fat = 9 cal/g)
  • A. 210 calories
  • B. 230 calories
  • C. 250 calories
  • D. 270 calories
Q. If a meal contains 50 grams of carbohydrates, 20 grams of protein, and 10 grams of fat, what is the total caloric value of the meal? (Carbohydrates = 4 cal/g, Protein = 4 cal/g, Fat = 9 cal/g) (2023)
  • A. 320 calories
  • B. 350 calories
  • C. 370 calories
  • D. 400 calories
Q. If a measurement is recorded as 0.00456 m, how many significant figures are in this measurement?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. If a measurement is recorded as 12.30 cm, what is the absolute error if the true value is 12.5 cm?
  • A. 0.2 cm
  • B. 0.3 cm
  • C. 0.1 cm
  • D. 0.4 cm
Q. If a member of Parliament serves a term of 5 years and is re-elected for another term, how many years will they serve in total?
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. If a member of Parliament serves a term of 5 years, how many terms can a member serve in 20 years?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. If a member of the Rajya Sabha serves a term of 6 years, how many members can be elected in a year if 1/3 of the members retire every 2 years and there are 245 members?
  • A. 40
  • B. 41
  • C. 42
  • D. 43
Q. If a member of the Rajya Sabha serves a term of 6 years, how many members will complete their term in a year if there are 245 members?
  • A. 40
  • B. 41
  • C. 42
  • D. 43
Q. If a military base has 150 soldiers and each soldier consumes 2.5 kg of food per week, how much food is required for the base for 4 weeks? (2022)
  • A. 1500 kg
  • B. 1200 kg
  • C. 1000 kg
  • D. 600 kg
Q. If a military base has a budget of $10,000 and spends $2,500 per month, how many months can it sustain its operations? (2023)
  • A. 2 months
  • B. 3 months
  • C. 4 months
  • D. 5 months
Q. If a military vehicle travels at a speed of 60 km/h, how far will it travel in 2.5 hours? (2021)
  • A. 120 km
  • B. 150 km
  • C. 180 km
  • D. 200 km
Q. If a military vehicle travels at a speed of 60 km/h, how long will it take to cover a distance of 180 km? (2021)
  • A. 2 hours
  • B. 3 hours
  • C. 4 hours
  • D. 5 hours
Q. If a missile travels at a speed of 300 m/s, how long will it take to reach a target 1500 meters away? (2020)
  • A. 3 s
  • B. 4 s
  • C. 5 s
  • D. 6 s
Q. If a national budget is increased by 10% each year, what will be the budget after 3 years if the current budget is $500 million?
  • A. $665.5 million
  • B. $600 million
  • C. $550 million
  • D. $750 million
Q. If a national campaign aims to plant 1 million trees in 5 years, how many trees should be planted each year to meet the goal? (2023)
  • A. 200,000
  • B. 250,000
  • C. 300,000
  • D. 150,000
Q. If a national campaign aims to reduce pollution by 15% each year and the current pollution level is 200 units, what will be the pollution level after 2 years? (2020)
  • A. 169
  • B. 170
  • C. 180
  • D. 150
Q. If a national event attracts 1,200 visitors and 25% of them are from abroad, how many visitors are from the country?
  • A. 900
  • B. 300
  • C. 600
  • D. 800
Q. If a national event attracts 1,500 visitors and 30% of them are from abroad, how many visitors are from the country?
  • A. 1,050
  • B. 1,200
  • C. 1,500
  • D. 450
Q. If a national event has 1,200 participants and 15% of them are from abroad, how many participants are from the country? (2022)
  • A. 1,020
  • B. 1,100
  • C. 1,050
  • D. 1,200
Q. If a national event has a 15% increase in attendance each year, what will be the attendance after 2 years if the current attendance is 1,000?
  • A. 1,322
  • B. 1,150
  • C. 1,200
  • D. 1,300
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