Week 3 (Arithmetic)
問題一覧
1
The mass of the substance per unit volume is,
Density
2
It can be defined as the set of all points in the plane the sum of whose distance from two fixed points is a constant.
Ellipse
3
Joe and his dad are bricklayers. Joe can lay bricks for a wall in 5 days. With his father's help, he can build it in 2 days. How long would it take his father to build it alone?
3-1/3 days
4
The weight of the substance per unit volume is,
Specific weight
5
The water pressure in a lake behind a dam depends on,
The depth below the surface at which the pressure is measured.
6
Is the number that cannot be expressed into ratio of two integers.
Irrational number
7
It is the interest for an interest period is calculated on the principal plus total amount of interest accumulated in previous periods.
Compound interest
8
The recorded current value of an asset is known as:
Book value
9
It is a sequence of numbers in which each term (except the first term is obtained from the previous by adding a constant known as the common difference.
Arithmetic progression
10
What do you call this laws or properties of equality in algebra, x + (- x) = 0 ?
Additive Inverse Property
11
It is a sequence of numbers, each of which each, after the first is obtained by multiplying the preceding term by a fixed number called the common ratio, known as the common difference.
Geometric progression
12
If the polynomial x3 + 4x2 - 3x + 8 is divided by x - 5, what would be the remainder?
218
13
What do you call this laws or properties of equality in algebra, x + (- x) = 0 ?
Additive Inverse Property
14
The amount received from the sale of an additional unit of a product is termed as:
Marginal revenue
15
It is calculated using principal only, ignoring any interest that had been accrued in preceding periods.
Simple interest
16
Who was the first person of whose systematic use of trigonometry which have documentary evidence.
Hipparchus
17
Twenty seven coins composed of 5 centavo-coins and 25 centavo-coins have a total value of P 4.95. How many 25 centavo-coins are there?
18
18
A method of depreciation whereby the amount to recover is spread over the estimated life of the asset in terms of the periods or units of output is called:
Straight line method
19
One Joule of work is done by a force of one Newton acting through a distance of:
1 m
20
It describes the size or quantity of the collections of objects like 1,2,3....1000 and so on & so forth.
Cardinal number
21
It is a sequence of numbers in which the reciprocals form an arithmetic progression.
Harmonic progression
22
A plumber crossed a river 30m wide but current brought 40m beyond and farther to the opposite bank. What is the total distance travelled?
50
23
How many liters of water must be added to 1 liter of 35% boric acid solution in order to produce 20% boric acid solution?
0.75 liter
24
A boat travels a certain distance downstream in 2 hrs. on its return trip the same distance is covered in 5 hours. If the speed of the current is 6 mph, what is the speed of the boat in still water?
14 mph
25
What do you call this laws or properties of equality in algebra, x + y = y + x ?
Commutative Law of Addition
26
In how many ways can 6 distinct books be arranged in a bookshelf?
720
27
The study of motion without reference to the forces which causes motion is known as
Kinematics
28
How do you connect pump in series?
Same gpm
29
The product of force and the time during which it acts is known as:
Impulse
30
Momentum = Force x
Time
31
Find the area of a regular hexagonal with perimeter 12
10.39
32
What do you call this laws or properties of equality in algebra, (xy) * z = x(yz) ?
Associative Law of Multiplication
33
What is the 50th term of the progression 3, 5, 7,9……
101
34
The path of the projectile is
A parabola
35
The moon's gravity is 1/6 of the Earth's gravity. The weight of a bowling ball on the Earth would be _____ its weight on the moon.
6 times
36
A boat can travel 10 mile downstream and with the same time can travel 6 miles upstream. If the current of water is 3 mph, find the speed of a boat in still water.
12 mph
37
Find the 25th terms of an A.P 5, 8, 11, 14
77
38
The reciprocal of bulk modulus of elasticity of any fluid is called:
Compressibility
39
The amount received from the sale of an additional unit of a product is termed as:
Marginal revenue
40
The first term of an AP is 2 and the 6th term is 12. Find the sum of the first 12 terms
156
41
For every action there is an equal and opposite reaction. This is a statement of,
Newton's Third Law of Motion
42
The property of a fluid whereby its own molecule are united or attracted to each other is:
Cohesion
43
It is calculated using principal only, ignoring any interest that had been accrued in preceding periods.
Simple interest
44
A line which is perpendicular to the x-axis has a slope equal to:
Infinity
45
Are opposite angles formed between two intersecting lines that are equal.
Vertical angles
46
Heat transmission carried by the movement of heated fluids away from a hot body, as in the heating of water by a hot surface:
Convection
47
The _____ of an object on the Earth's surface are directly proportional to each other.
Mass and weight
48
The area of the region bounded by two concentric circles is called:
Annulus
49
The loss of weight of a body submerged in a fluid is:
Equal to the weight of the fluid displaced
50
According to Newton's First Law of Motion,
An object at rest remains at rest unless acted upon by a net force
51
The study of motion without reference to the forces which causes motion is known as
Kinematics
52
The reciprocal of bulk modulus of elasticity of any fluid is called:
Compressibility
53
It is a triangle with two sides equal.
Isosceles triangle
54
Are angles which are non-right and non-straight such as acute angles and obtuse angles.
Oblique angles
55
A plumber is to install 20 meters long pipe, the length of pipe is 3.0 meters per piece. If the plumber has 4 pcs of pipe available, what is the remaining length of pipe he will have to install?
8
56
Ian remodels a kitchen in 20 hours and Jack in 15 hours if they work together, how many hours would take them to remodel the kitchen?
8.6
57
An accounting book where the original record of all transactions is ordinarily recorded.
Journal
58
What is the sum of the progression 4, 9, 14, 19...... up to the 20th term?
1030
59
Pour index horsepower is how many foot lbs per minutes
33,000
60
It is a sequence of numbers in which the reciprocals form an arithmetic progression.
Harmonic progression
61
It is the branch of mathematics which deals with the study of formal manipulations of equations involving symbols and numbers.
Algebra
62
It is a triangle with two sides equal.
Isosceles triangle
63
Is any positive integer (excluding 1) having no integral factors other than itself and unity.
Prime number
64
The reciprocal of density is,
Specific volume
65
Which of the following is a prime number?
97
66
A state of complete physical mental and social well-being and not merely the absence of disease or infirmity.
Health
67
Is any positive integer (excluding 1) having no integral factors other than itself and unity.
Prime number
68
An angle more than 90° but less than 180°
Obtuse angles
69
Interest can be calculated in two ways: _____ or compound interest.
Simple interest
70
The method of depreciation where a fixed sum of money is regularly deposited at compound interest in a real or imaginary fund in order to accumulate an amount equal to the total depreciation of an asset at the end of the asset's estimated life is known as:
Sinking fund method
71
It refers to the position relative to an ordering such as first, second, third etc.
Ordinal number
72
The point through which the resultant of the distributed gravity force passes regardless of the orientation of the body in space is known as:
Center of gravity
73
Roll a pair of dice. What is the probability that the sum of two numbers is 11?
1/18
74
A falling object is said to reach terminal speed,
When its air resistance equals the force of gravity on it.
75
An instrument for measuring high temperature gases:
Pyrometer
76
Are angles which are non-right and nonstraight such as acute angles and obtuse angles.
Oblique angles
77
An office has 60 employees. If 4 out of every 5 employees are married, how many married employees are there?
48
78
It is the interest for an interest period is calculated on the principal plus total amount of interest accumulated in previous periods.
Compound interest
79
A man riding on a motorcycle runs 40 km/r, is followed 5 hrs. Later by a car which runs 60 kph. In how many hours will the car overtake the motorcycle?
10 hrs
80
It is the sum of real and imaginary numbers which expressed in "x+yi".
Complex number
81
The property of a moving object to continue moving is what Galileo called:
Inertia
82
The worth of property which is equal to the original cost less depreciation
Book value
83
A book is at rest on top of a table. Which of the following is correct?
The book is in equilibrium.
84
The speedometer in your car tells you the _____ of your car.
Instantaneous speed
85
In trigonometry, one revolution is equal to, except
Pi radians
86
It is a sequence of numbers or quantities in which there is always the same relation between each quantity and the one succeeding it.
Progression
87
Which of the following is not a vector quantity?
Mass
88
The loss of weight of a body submerged in a fluid is:
Equal to the weight of the fluid displaced
89
It is an ordered arrangement of any element in a set.
Permutation
90
An arc length, which is equal to the radius of the circle is called:
1 radian
91
An instrument for measuring specific gravity of fluids:
Hydrometer
92
It is the space between intersecting rays or lines.
Angle
93
According to Newton's First Law of Motion,
An object at rest remains at rest unless acted upon by a net force.
94
Each of the faces of a regular hexahedron is a:
Square
95
An arc length, which is equal to the radius of the circle is called:
1 radian
96
What do you call this laws or properties of equality in algebra, xy = yx ?
Commutative Law of Multiplication
97
The area of the region bounded by two concentric circles is called:
Annulus
98
It is the space between intersecting rays or lines.
Angle
99
The speed at which an exact model of the pump would have to run if it were designed to deliver 1 GPM against 1 feet head per stage
Peripheral speed
100
What is the sum of the first 25 terms of the progression 5, 8, 11, 14……
1025
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問題一覧
1
The mass of the substance per unit volume is,
Density
2
It can be defined as the set of all points in the plane the sum of whose distance from two fixed points is a constant.
Ellipse
3
Joe and his dad are bricklayers. Joe can lay bricks for a wall in 5 days. With his father's help, he can build it in 2 days. How long would it take his father to build it alone?
3-1/3 days
4
The weight of the substance per unit volume is,
Specific weight
5
The water pressure in a lake behind a dam depends on,
The depth below the surface at which the pressure is measured.
6
Is the number that cannot be expressed into ratio of two integers.
Irrational number
7
It is the interest for an interest period is calculated on the principal plus total amount of interest accumulated in previous periods.
Compound interest
8
The recorded current value of an asset is known as:
Book value
9
It is a sequence of numbers in which each term (except the first term is obtained from the previous by adding a constant known as the common difference.
Arithmetic progression
10
What do you call this laws or properties of equality in algebra, x + (- x) = 0 ?
Additive Inverse Property
11
It is a sequence of numbers, each of which each, after the first is obtained by multiplying the preceding term by a fixed number called the common ratio, known as the common difference.
Geometric progression
12
If the polynomial x3 + 4x2 - 3x + 8 is divided by x - 5, what would be the remainder?
218
13
What do you call this laws or properties of equality in algebra, x + (- x) = 0 ?
Additive Inverse Property
14
The amount received from the sale of an additional unit of a product is termed as:
Marginal revenue
15
It is calculated using principal only, ignoring any interest that had been accrued in preceding periods.
Simple interest
16
Who was the first person of whose systematic use of trigonometry which have documentary evidence.
Hipparchus
17
Twenty seven coins composed of 5 centavo-coins and 25 centavo-coins have a total value of P 4.95. How many 25 centavo-coins are there?
18
18
A method of depreciation whereby the amount to recover is spread over the estimated life of the asset in terms of the periods or units of output is called:
Straight line method
19
One Joule of work is done by a force of one Newton acting through a distance of:
1 m
20
It describes the size or quantity of the collections of objects like 1,2,3....1000 and so on & so forth.
Cardinal number
21
It is a sequence of numbers in which the reciprocals form an arithmetic progression.
Harmonic progression
22
A plumber crossed a river 30m wide but current brought 40m beyond and farther to the opposite bank. What is the total distance travelled?
50
23
How many liters of water must be added to 1 liter of 35% boric acid solution in order to produce 20% boric acid solution?
0.75 liter
24
A boat travels a certain distance downstream in 2 hrs. on its return trip the same distance is covered in 5 hours. If the speed of the current is 6 mph, what is the speed of the boat in still water?
14 mph
25
What do you call this laws or properties of equality in algebra, x + y = y + x ?
Commutative Law of Addition
26
In how many ways can 6 distinct books be arranged in a bookshelf?
720
27
The study of motion without reference to the forces which causes motion is known as
Kinematics
28
How do you connect pump in series?
Same gpm
29
The product of force and the time during which it acts is known as:
Impulse
30
Momentum = Force x
Time
31
Find the area of a regular hexagonal with perimeter 12
10.39
32
What do you call this laws or properties of equality in algebra, (xy) * z = x(yz) ?
Associative Law of Multiplication
33
What is the 50th term of the progression 3, 5, 7,9……
101
34
The path of the projectile is
A parabola
35
The moon's gravity is 1/6 of the Earth's gravity. The weight of a bowling ball on the Earth would be _____ its weight on the moon.
6 times
36
A boat can travel 10 mile downstream and with the same time can travel 6 miles upstream. If the current of water is 3 mph, find the speed of a boat in still water.
12 mph
37
Find the 25th terms of an A.P 5, 8, 11, 14
77
38
The reciprocal of bulk modulus of elasticity of any fluid is called:
Compressibility
39
The amount received from the sale of an additional unit of a product is termed as:
Marginal revenue
40
The first term of an AP is 2 and the 6th term is 12. Find the sum of the first 12 terms
156
41
For every action there is an equal and opposite reaction. This is a statement of,
Newton's Third Law of Motion
42
The property of a fluid whereby its own molecule are united or attracted to each other is:
Cohesion
43
It is calculated using principal only, ignoring any interest that had been accrued in preceding periods.
Simple interest
44
A line which is perpendicular to the x-axis has a slope equal to:
Infinity
45
Are opposite angles formed between two intersecting lines that are equal.
Vertical angles
46
Heat transmission carried by the movement of heated fluids away from a hot body, as in the heating of water by a hot surface:
Convection
47
The _____ of an object on the Earth's surface are directly proportional to each other.
Mass and weight
48
The area of the region bounded by two concentric circles is called:
Annulus
49
The loss of weight of a body submerged in a fluid is:
Equal to the weight of the fluid displaced
50
According to Newton's First Law of Motion,
An object at rest remains at rest unless acted upon by a net force
51
The study of motion without reference to the forces which causes motion is known as
Kinematics
52
The reciprocal of bulk modulus of elasticity of any fluid is called:
Compressibility
53
It is a triangle with two sides equal.
Isosceles triangle
54
Are angles which are non-right and non-straight such as acute angles and obtuse angles.
Oblique angles
55
A plumber is to install 20 meters long pipe, the length of pipe is 3.0 meters per piece. If the plumber has 4 pcs of pipe available, what is the remaining length of pipe he will have to install?
8
56
Ian remodels a kitchen in 20 hours and Jack in 15 hours if they work together, how many hours would take them to remodel the kitchen?
8.6
57
An accounting book where the original record of all transactions is ordinarily recorded.
Journal
58
What is the sum of the progression 4, 9, 14, 19...... up to the 20th term?
1030
59
Pour index horsepower is how many foot lbs per minutes
33,000
60
It is a sequence of numbers in which the reciprocals form an arithmetic progression.
Harmonic progression
61
It is the branch of mathematics which deals with the study of formal manipulations of equations involving symbols and numbers.
Algebra
62
It is a triangle with two sides equal.
Isosceles triangle
63
Is any positive integer (excluding 1) having no integral factors other than itself and unity.
Prime number
64
The reciprocal of density is,
Specific volume
65
Which of the following is a prime number?
97
66
A state of complete physical mental and social well-being and not merely the absence of disease or infirmity.
Health
67
Is any positive integer (excluding 1) having no integral factors other than itself and unity.
Prime number
68
An angle more than 90° but less than 180°
Obtuse angles
69
Interest can be calculated in two ways: _____ or compound interest.
Simple interest
70
The method of depreciation where a fixed sum of money is regularly deposited at compound interest in a real or imaginary fund in order to accumulate an amount equal to the total depreciation of an asset at the end of the asset's estimated life is known as:
Sinking fund method
71
It refers to the position relative to an ordering such as first, second, third etc.
Ordinal number
72
The point through which the resultant of the distributed gravity force passes regardless of the orientation of the body in space is known as:
Center of gravity
73
Roll a pair of dice. What is the probability that the sum of two numbers is 11?
1/18
74
A falling object is said to reach terminal speed,
When its air resistance equals the force of gravity on it.
75
An instrument for measuring high temperature gases:
Pyrometer
76
Are angles which are non-right and nonstraight such as acute angles and obtuse angles.
Oblique angles
77
An office has 60 employees. If 4 out of every 5 employees are married, how many married employees are there?
48
78
It is the interest for an interest period is calculated on the principal plus total amount of interest accumulated in previous periods.
Compound interest
79
A man riding on a motorcycle runs 40 km/r, is followed 5 hrs. Later by a car which runs 60 kph. In how many hours will the car overtake the motorcycle?
10 hrs
80
It is the sum of real and imaginary numbers which expressed in "x+yi".
Complex number
81
The property of a moving object to continue moving is what Galileo called:
Inertia
82
The worth of property which is equal to the original cost less depreciation
Book value
83
A book is at rest on top of a table. Which of the following is correct?
The book is in equilibrium.
84
The speedometer in your car tells you the _____ of your car.
Instantaneous speed
85
In trigonometry, one revolution is equal to, except
Pi radians
86
It is a sequence of numbers or quantities in which there is always the same relation between each quantity and the one succeeding it.
Progression
87
Which of the following is not a vector quantity?
Mass
88
The loss of weight of a body submerged in a fluid is:
Equal to the weight of the fluid displaced
89
It is an ordered arrangement of any element in a set.
Permutation
90
An arc length, which is equal to the radius of the circle is called:
1 radian
91
An instrument for measuring specific gravity of fluids:
Hydrometer
92
It is the space between intersecting rays or lines.
Angle
93
According to Newton's First Law of Motion,
An object at rest remains at rest unless acted upon by a net force.
94
Each of the faces of a regular hexahedron is a:
Square
95
An arc length, which is equal to the radius of the circle is called:
1 radian
96
What do you call this laws or properties of equality in algebra, xy = yx ?
Commutative Law of Multiplication
97
The area of the region bounded by two concentric circles is called:
Annulus
98
It is the space between intersecting rays or lines.
Angle
99
The speed at which an exact model of the pump would have to run if it were designed to deliver 1 GPM against 1 feet head per stage
Peripheral speed
100
What is the sum of the first 25 terms of the progression 5, 8, 11, 14……
1025