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Linear Algebra.d

Linear Algebra.d

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87 вопросов Вариант 1 Доступ 7 дней
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Вопросы и варианты

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Вопрос 1

How many digits are in the decimal number system?

  1. 10
  2. 9
  3. 15
  4. 16
Вопрос 2

What base is the hexadecimal number system?

  1. 6
  2. 7
  3. 12
  4. 16
Вопрос 3

What is 2^5?

  1. 16
  2. 32
  3. 64
  4. None of the above
Вопрос 4

What is the range of decimal values you can write in 8 bits?

  1. 0 to 8
  2. 0 to 256
  3. 0 to 63
  4. 0 to 255
Вопрос 5

0010 1010

  1. 72
  2. 82
  3. 84
  4. None of the above
Вопрос 6

If 'A' is ASCII 65, then 'T' is ASCII

  1. 66
  2. 99
  3. 13
  4. 84
Вопрос 7

The largest decimal number you can write with four binary digits is:

  1. 16
  2. 15
  3. 14
  4. None of the above
Вопрос 8

How many numbers can you write with 4 binary digits?

  1. 2
  2. 4
  3. 8
  4. 16
Вопрос 9

How many numbers can you write with one binary digit?

  1. 2
  2. 4
  3. 8
  4. 16
Вопрос 10

All keyboard keys have ASCII values.

  1. True
  2. False
  3. It Depends
  4. Yes, except for special function keys like the function keys.
Вопрос 11

On solving 2p - 3q - 4r + 6r - 2q + p, the answer will be

  1. 8q -5r
  2. 10p + 3q - 5r
  3. 3p - 5q + 2r
  4. 7p + 5r
Вопрос 12

The answer of factorization of the expression 4z(3a + 2b - 4c) + (3a + 2b - 4c) is

  1. (4z + 1)(3a + 2b -4c)
  2. (4z + 1) + (3a + 2b -4c)
  3. (4z + 1) - (3a + 2b -4c)
  4. (4z - 1)(3a - 2b -4c)
Вопрос 13

By factorizing the expression 2bx + 4by - 3ax -6ay, the answer must be

  1. (2b + 3a)(x - 2y)
  2. (2b - 3a)(x + 2y)
  3. (2a- 3b)(3x - 2y)
  4. (2a + 3b)(2x - 4y)
Вопрос 14

If -4x + 5y is subtracted from 3x + 2y then the answer will be

  1. 3x + 6y
  2. 2x + 5y
  3. x - 3y
  4. x + 3y
Вопрос 15

On solving the algebraic expression -38b⁄2, the answer will be

  1. −19b
  2. 19b
  3. 56b
  4. −56b
Вопрос 16

Which of the following is the numerical coefficient of x2y2?

  1. 0
  2. 1
  3. x^2
  4. y^2
Вопрос 17

Which of the following is the numerical coefficient of -5xy?

  1. 5
  2. -x
  3. -5
  4. -y
Вопрос 18

pqr is what type of polynomial?

  1. Monomial
  2. Binomial
  3. Trimonial
  4. None of these
Вопрос 19

The value of x^2 - 5 at x= -1 is-

  1. -2
  2. -1
  3. -4
  4. -5
Вопрос 20

a^2-b^2 is a product of

  1. (a+b)(a-b)
  2. (a+b)(a+b)
  3. (a-b)(a-b)
  4. None of these
Вопрос 21

What is the value of (-1)^-1?

  1. 0
  2. -1
  3. 1
  4. None of these
Вопрос 22

Which of the following is the value of 'm' in 6^m/ 6^-3 = 6^5?

  1. -3
  2. -2
  3. 3
  4. 2
Вопрос 23

Which of the following is the standard form of 0.00001275?

  1. 1.275 * 10^-5
  2. 1.275 * 10^5
  3. 127.5 * 10^-7
  4. 127.5 * 10^7
Вопрос 24

Which of the following is used as a form of 5.05 * 106?

  1. 505000
  2. 505000000
  3. 5050000
  4. 50500000
Вопрос 25

For which of the following is m= 8?

  1. (5^m * 5^-3) / 5^2 = 5^3
  2. -(5^m * 5^-3) / 5^3 = 5^2
  3. (5^m * 5^3) / 5^2 = 5^3
  4. none of the above
Вопрос 26

1 micron = 1/1000000 m. which of the following is its standard form?

  1. 10^-5
  2. 1.6 * 10^-5
  3. 10^-6
Вопрос 27

[(1 / 2)^-1 + (2 /3 )^2 - (3/4)^0]^-2 is equal to:

  1. 81/484
  2. 81/169
  3. 169/81
  4. 16/81
Вопрос 28

Which of the following = (100 - 99^0) * 100?

  1. 10000
  2. 100
  3. 9900
  4. 99000
Вопрос 29

What is the reciprocal of (-3 / 4)^0?

  1. -1
  2. 1
  3. -4/3
  4. 4/3
Вопрос 30

Which of the following is the value of (4 / 5)^-9 / (4 / 5)^-9?

  1. (4/5)^18
  2. 4/5
  3. 1
  4. (5/4)^9
Вопрос 31

The linear equation 3x-11y=10 has:

  1. Unique solution
  2. Two solutions
  3. Infinitely many solutions
  4. No solutions
Вопрос 32

3x+10 = 0 will has:

  1. Unique solution
  2. Two solutions
  3. Infinitely many solutions
  4. No solutions
Вопрос 33

The solution of equation x-2y = 4 is:

  1. (0,2)
  2. (2,0)
  3. (4,0)
  4. (1,1)
Вопрос 34

The value of k, if x = 1, y = 2 is a solution of the equation 2x + 3y = k.

  1. 5
  2. 6
  3. 7
  4. 8
Вопрос 35

Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:

  1. 4/3
  2. 5/3
  3. 3
  4. 7/3
Вопрос 36

The graph of linear equation x+2y = 2, cuts the y-axis at:

  1. (2,0)
  2. (0,2)
  3. (0,1)
  4. (1,1)
Вопрос 37

Any point on the line x = y is of the form:

  1. (k, -k)
  2. (0, k)
  3. (k, 0)
  4. (k, k)
Вопрос 38

The graph of x = 3 is a line:

  1. Parallel to the x-axis at a distance of 3 units from the origin
  2. Parallel to the y-axis at a distance of 3 units from the origin
  3. Makes an intercept 3 on the x-axis
  4. Makes an intercept 3 on the y-axis
Вопрос 39

In equation, y = mx+c, m is:

  1. Intercept
  2. Slope of line
  3. Solution of the equation
  4. None of the above
Вопрос 40

If x and y are both positive solutions of equation ax+by+c=0, always lie in:

  1. First quadrant
  2. Second quadrant
  3. Third quadrant
  4. Fourth quadrant
Вопрос 41

A pair of equations to determine the value of 2 variables is called

  1. simultaneous linear equations
  2. paired equations
  3. quadratic equations
  4. simple equations
Вопрос 42

Any new equation obtained by raising both members of an equation to the same power may have solutions is called

  1. extraneous solutions
  2. absolute value
  3. radical signs
  4. simultaneous equation
Вопрос 43

An equation involving only a linear polynomial is called a

  1. linear equation
  2. quadratic equation
  3. simultaneous equation
  4. inequal equation
Вопрос 44

The methods to solve a pair of simultaneous linear equations are

  1. 3
  2. 2
  3. 4
  4. 5
Вопрос 45

Linear equation is also called

  1. second degree equation
  2. first degree equation
  3. zero degree equation
  4. simultaneous equation
Вопрос 46

Solve the system of equations below: y=3x-5 y=-2x+10

  1. (0, -5)
  2. (2, 1)
  3. (4, -2)
  4. (3, 4)
  5. (5, 0)
Вопрос 47

If you don't see a variable listed in a linear system in three variables, you should note that the variable has a coefficient of:

  1. -1
  2. 1/2
  3. Infinity
  4. 1
  5. 0
Вопрос 48

What are the most common letters we will see for our variables?

  1. x, y, and z
  2. s, a, and m
  3. m, c, and d
  4. f, r, and y
  5. a, b, and c
Вопрос 49

Solve this system. 4x+y=12 x+y=6

  1. x = 1 and y = 3
  2. x = 2 and y = 4
  3. x = 4 and y = 2
  4. x = 4 and y = 5
  5. x = 2 and y = 3
Вопрос 50

How many more equations are needed to complete this linear system with three variables?

  1. 1
  2. 3
  3. 4
  4. 2
  5. 0
Вопрос 51

In the depreciation function V = ƒ(t) then the t is

  1. interest value
  2. time from purchase date
  3. purchased value
  4. sold value
Вопрос 52

The product sold price is $50 USD then the revenue function is

  1. R(50) = 50 + x
  2. R(x) = 50x
  3. R(50) = x
  4. R(x) = 50 + x
Вопрос 53

The function describing relationship of price related to suppliers agreed quantities to produce the material and to supply it is classified as

  1. selling function
  2. unit function
  3. supply function
  4. manufacturing function
Вопрос 54

In the function quantity = ƒ(price per unit), the independent variable is

  1. profit per unit
  2. price per unit
  3. demand per unit
  4. cost per unit
Вопрос 55

The breakeven point that represents level of output at which

  1. total revenue = 0
  2. total revenue = total cost
  3. total revenue > total cost
  4. total revenue < total cost
Вопрос 56

In the function P(x) = 85x - (50x + 150000), the amount which indicates the increase in profit by every sold unit is

  1. 50
  2. 150,000
  3. 135
  4. 85
Вопрос 57

The purchase cost is 30,000 and the depreciation is 5,000 then the depreciation function is

  1. V = ƒ(t) = 30000 - 5000t
  2. V = ƒ(t) = 5000t + 30000
  3. V = ƒ(t) = 30000t - 5000t
  4. V = ƒ(t) = 30000t + 5000t
Вопрос 58

The total revenue is $40,000 USD, the variable cost is $10,000 USD and the fixed cost is $40,000 USD then the prot or loss is

  1. −$10000
  2. $10,000
  3. $90,000
  4. $70,000
Вопрос 59

The revenue function is R(x) = 50x and the cost function is C(x) = 25x + 200000 then the break even point(in units) is

  1. 8000 units
  2. 0.13%
  3. 6000 units
  4. 1000 units
Вопрос 60

The product's raw material cost and labor costs are type of

  1. total variable cost
  2. total fixed cost
  3. Per unit cost
  4. Assemble cost
Вопрос 61

The price of a single unit is $6 USD and the quantity sold is 300 units then the revenue is

  1. $1,800
  2. $50
  3. $306
  4. $294
Вопрос 62

The flow of money in the company because of providing services or from selling products are classified as

  1. revenue
  2. cash flow
  3. company cash
  4. selling cost
Вопрос 63

The rate of asset depreciation is constant in the method

  1. straight line depreciation
  2. Floating line depreciation
  3. curve line depreciation
  4. straight curve depreciation
Вопрос 64

In the function P(x) = 85x-(50x+150,000), the profit for 5,000 units is

  1. $225,000
  2. $425,000
  3. $325,000
  4. $525,000
Вопрос 65

The depreciation function V = ƒ(t) is

  1. purchase cost - depreciation
  2. purchase cost + depreciation
  3. depreciation - purchase cost
  4. selling price + depreciation
Вопрос 66

In calculating total cost, the selling price for all units is

  1. lower for increasing units
  2. same for all units
  3. more for increasing units
  4. none of above
Вопрос 67

In the depreciation function V = ƒ(t) then the V is

  1. book value
  2. interest rate
  3. depreciation rate
  4. purchase date
Вопрос 68

The decrease in prices of a market offering in a market results in

  1. increase in demand
  2. decrease in demand
  3. increase in other product prices
  4. increase in production cost
Вопрос 69

The type of linear function written as quantity supplied = ƒ(market price) is classified as:

  1. supply function
  2. manufacturing function
  3. selling function
  4. unit function
Вопрос 70

In the function quantity = ƒ(price per unit), the dependent variable is

  1. competitors price
  2. independent price
  3. quantity demanded
  4. quantity priced
Вопрос 71

If a matrix has 6 elements, then number of possible orders of the matrix can be

  1. 2
  2. 4
  3. 3
  4. 6
Вопрос 72

If A = diag(3, -1), then matrix A is

  1. 1
  2. 2
  3. 3
  4. 4
Вопрос 73

Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is

  1. 6
  2. 36
  3. 32
  4. 64
Вопрос 74

If A is a square matrix such that A²=A, then (I + A)² – 3A is

  1. I
  2. 2A
  3. 3I
  4. A
Вопрос 75

If matrices A and B are inverse of each other then

  1. AB = BA
  2. AB = BA = I
  3. AB = BA = 0
  4. AB = 0, BA = I
Вопрос 76

The diagonal elements of a skew symmetric matrix are

  1. all zeroes
  2. are all equal to some scalar k(≠ 0)
  3. can be any number
  4. none of these
Вопрос 77

If a matrix A is both symmetric and skew symmetric then matrix A is

  1. a scalar matrix
  2. a diagonal matrix
  3. a zero matrix of order n × n
  4. a rectangular matrix.
Вопрос 78

What is the objective function (Z) to be maximised in this linear programming problem (where Z is total profit in £s)?

  1. Z = 2X + 3Y
  2. Z = 1500X + 1500Y
  3. Z = 100X + 120Y
  4. Z = 120X + 100Y
Вопрос 79

Total profits are maximised when the objective function (as a straight line on a graph) is:

  1. Furthest from the origin irrespective of the ‘feasible region’
  2. Furthest from the origin and tangent to the ‘feasible region’
  3. Nearest to the origin irrespective of the ‘feasible region’
  4. Nearest to the origin and tangent to the ‘feasible region’
Вопрос 80

What is the equation of the labour constraint line for the welding department in this linear programme?

  1. 2X + 3Y = 1,500 hours
  2. 3X + 2Y = 550 hours
  3. 3X + 2Y = 1,500 hours
  4. 2X + 3Y = 550 hours
Вопрос 81

What is the equation of the labour constraint line for the assembly department in this linear programme?

  1. 3X + 2Y = 1,500 hours
  2. 1X + 1Y = 1,500 hours
  3. 1X + 1Y = 550 hours
  4. 2X + 2Y = 1,500 hours
Вопрос 82

What is the solution to this linear programming problem in terms of the respective quantities of X and Y to be produced if profits are to be maximised?

  1. X = 550, Y = 0
  2. X = 150, Y = 400
  3. X = 0, Y = 500
  4. X = 400, Y = 150
Вопрос 83

Which of the following is NOT an assumption of linear programming?

  1. Prices of products remain the same no matter how high the consumer demand
  2. Constant returns to the variable factors of production
  3. Diminishing returns to the variable factors of production
  4. Prices of factor inputs remain the same no matter how high the firm demand
Вопрос 84

What can we find by using the following formula? Total Fixed Costs / Contribution per unit

  1. Margin of Safety
  2. Budgeted Profit
  3. Budgeted Output
  4. Break-Even Output
Вопрос 85

Budgeted output minus break-even output gives us the:

  1. Budgeted Profit
  2. Margin of Safety
  3. Contribution per unit
  4. Maximum profit solution
Вопрос 86

In break-even analysis we assume:

  1. Non-linear relationships
  2. Diminishing returns to the variable factors of production
  3. Linear relationships
  4. Non-proportional relationships
Вопрос 87

If each unit of output can be sold at a price of £5 and incurs variable costs which are constant at £3 per unit, and if the fixed costs already incurred are £15,000, then the break-even output is:

  1. 5,000 units
  2. 7,500 units
  3. 3,000 units
  4. 15,000 units