Daily Exam 10 – Mathematics

If ln x = 3 and in y = 5, calculate ln x²/y½.

1.5

Correct Incorrect Correct answer

2.5

Correct Incorrect Correct answer

3.5

Correct Incorrect Correct answer

4.5

Correct Incorrect Correct answer

The sum of two numbers is 12 and their product is 3. Find the sum of their reciprocais.

1/2

Correct Incorrect Correct answer

1/4

Correct Incorrect Correct answer

2

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

Solve for x in the equations: x(x + y + z) = 2, y(x + y + z) = 6, and z(x + y + z) = 6

1/2

Correct Incorrect Correct answer

1

Correct Incorrect Correct answer

1.5

Correct Incorrect Correct answer

2

Correct Incorrect Correct answer

How much oil costing 120 pesos per liter must be added to 200 liters of oil costing 150 pesos per liter to make a mixture costing 140 pesos liter?

75 liters

Correct Incorrect Correct answer

80 liters

Correct Incorrect Correct answer

90 liters

Correct Incorrect Correct answer

100 liters

Correct Incorrect Correct answer

A number has two digits whose sum is 10. The difference between the original number and the number resulting from an interchange from the original number is 54. What is the original number?

84

Correct Incorrect Correct answer

73

Correct Incorrect Correct answer

82

Correct Incorrect Correct answer

91

Correct Incorrect Correct answer

A job can be done in as many days as there are men in the group. if the number of men is reduced by 6, the work delayed by 6 days. How many were there in the original group?

20

Correct Incorrect Correct answer

25

Correct Incorrect Correct answer

30

Correct Incorrect Correct answer

35

Correct Incorrect Correct answer

Find the value of x³ + 1/x³ if x + 1/x = 6.

110

Correct Incorrect Correct answer

115

Correct Incorrect Correct answer

120

Correct Incorrect Correct answer

125

Correct Incorrect Correct answer

Find the value of x if Log₆(2x – 6) = Log₂6.

5.75

Correct Incorrect Correct answer

6.26

Correct Incorrect Correct answer

7.57

Correct Incorrect Correct answer

8.68

Correct Incorrect Correct answer

Find the sum of ali positive integers divisible by 11 between 1 and 1000.

44955

Correct Incorrect Correct answer

45045

Correct Incorrect Correct answer

46046

Correct Incorrect Correct answer

47047

Correct Incorrect Correct answer

Three numbers are in arithmetic progression. Their sum is 18 and the sum of their squares is 126. Find the smallest number of the arithmetic progression.

1

Correct Incorrect Correct answer

2

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

The sum of three numbers in geometric progression is 19 and its geometric mean ts 6. Find the smallest number of the geometric progression.

1

Correct Incorrect Correct answer

2

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

Solve for x in the equations: 2(x + y) = 10 and 4(x – y) = 10

3.35

Correct Incorrect Correct answer

3.75

Correct Incorrect Correct answer

4.55

Correct Incorrect Correct answer

4.75

Correct Incorrect Correct answer

Simplify cos (A + B) cos A + sin (A + B) sin A.

sinA

Correct Incorrect Correct answer

sinB

Correct Incorrect Correct answer

cosA

Correct Incorrect Correct answer

cosB

Correct Incorrect Correct answer

Find the area of the rhombus whose diagonals are 10 m and 24 m respectively.

120 m²

Correct Incorrect Correct answer

150 m²

Correct Incorrect Correct answer

180 m²

Correct Incorrect Correct answer

240 m²

Correct Incorrect Correct answer

Solve for A if: cos 2A + sin A – 1 = 0.

0°

Correct Incorrect Correct answer

30°

Correct Incorrect Correct answer

either A or B

Correct Incorrect Correct answer

neither A nor B

Correct Incorrect Correct answer

Solve for x if: arc tan 1/3 + arc tan 1/5 = arc tan 1/x

7

Correct Incorrect Correct answer

7/2

Correct Incorrect Correct answer

7/3

Correct Incorrect Correct answer

7/4

Correct Incorrect Correct answer

If a regular pentagon is circumscribe about a circle of radius 10 cm, determine the length of each side of the regular pentagon.

14.53 cm

Correct Incorrect Correct answer

15.74cm

Correct Incorrect Correct answer

17.44 cm

Correct Incorrect Correct answer

19.15 cm

Correct Incorrect Correct answer

The three dimensions of a rectangular parallelepiped are in the ratio 3:4:5 if the volume is 1620 cu cm, what is the length of the shortest side?

6 cm

Correct Incorrect Correct answer

9 cm

Correct Incorrect Correct answer

12 cm

Correct Incorrect Correct answer

15 cm

Correct Incorrect Correct answer

The two bases of a trapezoid are 12 inches and 16 inches respectively. if the angles at the extremities of one base are 65° and 55° respectively, find the shortest leg.

2.88 in

Correct Incorrect Correct answer

3.16 in

Correct Incorrect Correct answer

3.48 in

Correct Incorrect Correct answer

3.78 in

Correct Incorrect Correct answer

Find the radius of circle circumscribed about the triangle for which A = 70 deg, B = 60 deg, and c = 35 inches

22.84 in

Correct Incorrect Correct answer

25.64 in

Correct Incorrect Correct answer

31.25 in

Correct Incorrect Correct answer

36.55 in

Correct Incorrect Correct answer

How many sides have a polygon if the sum of the interior angles is 2620 degrees?

10

Correct Incorrect Correct answer

12

Correct Incorrect Correct answer

14

Correct Incorrect Correct answer

16

Correct Incorrect Correct answer

Fina the acute angle formed by the lines 2x + y – 8 = 0 and x + 3y + 4 = 0.

30°

Correct Incorrect Correct answer

35°

Correct Incorrect Correct answer

45°

Correct Incorrect Correct answer

60°

Correct Incorrect Correct answer

If the points (-2, 3), (x, – y) and (-3, 5) Ile on the straight line, then the equation of the line is _____.

x + 2y – 1 = 0

Correct Incorrect Correct answer

2x + y + 1 = 0

Correct Incorrect Correct answer

x + 2y + 1 = 0

Correct Incorrect Correct answer

2x + y + 1 = 0

Correct Incorrect Correct answer

Transform the polar equation: r² sin 0 cos 0 = 4 in to an equation in Cartesian coordinates.

x + y = 4

Correct Incorrect Correct answer

x² – y² = 4

Correct Incorrect Correct answer

x² + y² = 4

Correct Incorrect Correct answer

xy = 4

Correct Incorrect Correct answer

The equation 25x² + 16y² – 150x + 128y + 81 = 0 has its center at:

(3, -4)

Correct Incorrect Correct answer

(-3, 4)

Correct Incorrect Correct answer

(-4, 3)

Correct Incorrect Correct answer

(4, -3)

Correct Incorrect Correct answer

Find the equation of the family of lines whose product of the intercepts is equal to 6.

6x – a²y = 6a

Correct Incorrect Correct answer

6x + a²y = 6a

Correct Incorrect Correct answer

either A or B

Correct Incorrect Correct answer

neither A or B

Correct Incorrect Correct answer

Find the equation of the circle that is circumscribed about the triangle whose vertices are (-1,-3), (-2, 4), (2, 1).

x² + y² + 3x + y + 10 = 0

Correct Incorrect Correct answer

x² + y² + 5x + 7y + 20 = 0

Correct Incorrect Correct answer

x² + y² + 3x – y – 10 = 0

Correct Incorrect Correct answer

x² + y² + 5x – 7y – 20 = 0

Correct Incorrect Correct answer

In how many different ways can 5 persons be seated in an automobile having places for 2 in the front seat and 3 in back seat if only 3 can drive?

30

Correct Incorrect Correct answer

36

Correct Incorrect Correct answer

60

Correct Incorrect Correct answer

72

Correct Incorrect Correct answer

Three red books and five blue books are placed at random on a shelf. What is the probability that the red books will be together?

0.067

Correct Incorrect Correct answer

0.087

Correct Incorrect Correct answer

0.107

Correct Incorrect Correct answer

0.427

Correct Incorrect Correct answer

A number between 1 to 10,000 inclusive is selected at random. What is the probability that it is a perfect square?

0.01

Correct Incorrect Correct answer

0.015

Correct Incorrect Correct answer

0.02

Correct Incorrect Correct answer

0.025

Correct Incorrect Correct answer

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Daily Exam 10 – Mathematics

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