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CORREL > MATH QUIZ 1 > Flashcards

MATH QUIZ 1 Flashcards

1
Q

In the expansion of (x+4y)^12, the numerical coefficient of the 5th term is:

A

126,720

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2
Q

The number 0.123123123…is:

A

rational number

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3
Q

Which is an equivalent expression of sin 2x?

A

2sinx /secx

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4
Q

A certain angle has an explement 5 times the supplement. Find the angle.

A

135°

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5
Q

The age of Diophantus, a Greek mathematician may be calculated from the epitaph which reads as follows:

“Diophantus passed 1/6 of his life in childhood, 1/12 in youth, 1/7 as a bachelor. Five years after his marriage was born a son who died 4 years before his father at half his father’s final age.” How old was Diophantus when he died?

A

84

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6
Q

Mary is 24 years old. Mary was twice as old as Ann was when Mary was old as Ann is now. How old is Ann?

A

16

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7
Q

How many minutes after 5 o’clock will the hands of the clock be perpendicular for the first time?

A

10.91

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8
Q

Two towns A and B are connected by 3 roads and towns B and C are connected by 4 roads. In how many ways can one drive from A to b and return to A via B if the same road is not to be traveled?

A

72

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9
Q

When rounded-ff to four significant figures, 102.4886 becomes:

A

102.5

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10
Q

What is the natural logarithm of e^xy?

A

xy

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11
Q

Which of the following is a happy number?

A

100

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12
Q

The red bulbs of a Christmas light flash every 8 seconds, the blue bulbs flash every 9 seconds, and the green bulb flashes every 10 seconds. If they all start flashing together, every how many seconds will they flash simultaneously again?

A

360

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13
Q

The sum and product of conjugate numbers are:

A

complex numbers

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14
Q

A man sold a watch for 3,500Php at a loss of 30% on the cost price. Find the corresponding loss or gain if he sold it for 5,050Php.

A

1% gain

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15
Q

What is the mantissa of the common logarithm of 0.0071?

A

0.14874

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16
Q

Tom is now twice as old as Jerry. Four years ago, he was three times as old as Jerry was then. How old is Tom now?

A

16

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17
Q

Solve the value of x
38.5^x=6.5^(x-2)

A

-2.10

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18
Q

Six people are on a sinking yacht. There are four life jackets. How many combinations of survivors are there?

A

15

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19
Q

A man has 3 pieces of rope with lengths of 140 units, 168 units, and 210 units. He wishes to cut the three pieces of ropes into smaller pieces of equal length with no remainders. How many unit lengths of each piece of rope will he be getting all together?

A

14

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20
Q

An engineer and his helper can do a certain job in 3 hours. On a given day, they worked together for 1 hour then the helper left and the engineer finishes the rest of the work in 8 more hours. How long will it take the engineer to do the job alone?

A

12 hours

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21
Q

A transit set up 40 m from the base of a vertical chimney reads 32° 30’ with crosshairs set on the top of the chimney. With the telescope level, The vertical rod at the base of the chimney is 2.1 m. Approximately, how tall is the chimney?

A

28 m

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22
Q

What is the measure of 2.25 revolutions counterclockwise?

A

810°

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23
Q

The number is:
5+√3

A

surd

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24
Q

Find the difference in time between Manila (14° 36’ N, 121° 05’ E) and Tokyo (35° 39’ N, 139° 45’ E). Also, find the distance between them.

A

1.24 hrs, 1613.2 nautucal miles

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25
Q

How many different ways can a party of seven politicians be seated in a row?

A

5040

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26
Q

Find the angle in mils subtended by a line 10 yards long at a distance of 5000 yards.

A

2 mils

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27
Q

In a 2-digit number, the unit’s digit is 3 greater than the ten’s digit. If the number is 4 times as large as the sum of its digits, find the number.

A

36

28
Q

What is the characteristic of the common logarithm of 0.0071?

A

-2

29
Q

The supplement of an angle θ is 5/2 of its complement, find the value of θ.

A

30°

30
Q

What is the sum of the coefficient of (x+y-z)^8?

A

1

31
Q

Two thousand kg of steel containing 8% nickel is to be made by mixing steel containing 14% nickel with another containing 6% nickel. How much of the 14% nickel is needed in kg?

A

500

32
Q

Which of the following is equivalent to 180°?

A

3200 mils

33
Q

Which of the following best describe (8+0i)?

A

real number

34
Q

Which of the following statements is correct?

A

100.00 has five significant figures

35
Q

At point A, south of a tower, the angle of elevation of the top of the tower is 50°. At another point B, 200 m east of A, the angle of elevation is 22°. Find the height of the tower.

A

85.9 m

36
Q

A man sold a book by mistake at 120% of the marked price instead of discounting the marked price by 20%. If he sold the book for 14.40Php, what was the price for which he should have sold the book?

A

9.60Php

37
Q

A chemist of a distillery experimented on two alcohol solutions of different strengths, 35% alcohol, and 50% alcohol, respectively. How many cubic units of 50% alcohol must he use in order to produce a mixture of 60 cu. units that contain 40% alcohol?

A

20

38
Q

A man has 3 pieces of rope with lengths of 140 units, 168 units, and 210 units. He wishes to cut the three pieces of ropes into smaller pieces of equal length with no remainders. How many pieces of rope of equal length can he get all together?

A

37

39
Q

Which of the following regular polygons has 7 diagonals?

A

Tetrakaidecagon

40
Q

An 8-inch diameter (I.D.) pipe is filled to a depth equal to one-third of its diameter. What is the area inflow?

A

14.67 sq. in.

41
Q

A cubical container that measures 2 m on a side is tightly packed with eight balls and is filled with water. All 8 balls are in contact with the walls of the container and the adjacent balls. All the balls have the same sizes. What is the volume of the water in the container?

A

3.80 cu. m

42
Q

The area of a circle is 89.42 sq. in. What is the length of a side of a regular hexagon inscribed in this circle?

A

5.337

43
Q

What is the standard form of the equation of the line tangent to a circle centered at the origin with a radius of 5 at the point (3,4)?

A

y=(-3/4)x+25/4

44
Q

The triangle defined by the points A (6,1), B(2,4), and C(-2,1) is what?

A

isoceles

45
Q

Determine the total surface area of an icosahedron if the length of each edge is 10 cm.

A

866 cm^2

46
Q

Find the inclination of the line passing through (4,1) and (-3,-3).

A

29.7°

47
Q

What is the value of each interior angle of a regular pentagon?

A

2/5π

48
Q

A goat is tied to a corner of a 30 ft by 35 ft building. If the rope is 40 ft long and the goat can reach 1 ft further than the rope length, what is the maximum area the goat can cover?

A

4084.07 sq. ft

49
Q

Find the area of a regular pentagon whose apothem is 17.2 cm.

A

1075 cm^2

50
Q

Find the area of a washer formed by two concentric circles whose cord outside the small circle is 10.

A

25π

51
Q

There were two calculus problems that came out in the latest licensure examinations. How many were able to solve both problems if 50% of them solved the integral problem and 75% solved the differential problem? Total number or examinees is 2000.

A

500

52
Q

Coversine X is 0.134, find the value of x.

A

60

53
Q

The vertical angle to the top of a flagpole from point A on the ground is observed to be 37°11’. The observer walks 17m directly away from point A and the flagpole to point B and find the new angle to be 25°43’. What is the approximate height of the flagpole?

A

x=29.56; h=22.43

54
Q

Which of the following regular polygons has 27 diagonals?

A

9

55
Q

The horsepower which a shaft can transmit varies as the cube of the diameter and the angular speed. If 75mm diameter shaft transmits 270 hp when turning at 1000 rpm, find the horsepower which can be transmitted by a 4.9213 in diameter shaft rotating at 1500 rpm.

A

1875.05 hp

56
Q

A man bought 20 chicken for 200 pesos. The cocks cost 30 pesos each, the hens 15 pesos each, and the? chicks at 5 pesos each. How many cocks did they buy?

A

4

57
Q

Solve the value of x:
x^2/3 +x^-2/3=17/4

A

-8

58
Q

How many degrees is 3/4π radians

A

135 deg

59
Q

What is the factor of the equation
3x^3-3x^2-18x

A

3x(x+2)(x-3)

60
Q

Solve for the value of x if x=√1-√1-√1-…

A

0.618

61
Q

The time swing t seconds, of a simple pendulum is given by the equation t=2π√L/8 Determine the time correct to 3 decimal places, given that L = 12.0 and g = 9.81

A

6.949

62
Q

The distance from the origin to the point (-sinθ, cosθ) is equivalent to?

A

1

63
Q

What is the 4th term of the expansion (x+y)^12

A

220x^9y^3

64
Q

What is the factor of the equation, x^4-y^4

A

(x^2+y^2)(x+y)(x-y)

65
Q

Find the equation of a line through (0,4) which is perpendicular to the line x-3y=0

A

3x+y-4=0

66
Q

Find the middle term of the expansion (x^2-2y)^10

A

-8064x10y5

CORREL (24 decks)

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