Quiz about MATH 55

Question 1

Find the sum of the first five terms of the geometric progression if the third term is 144 and the sixth term is 486.

Accepted Answer

a. 844

Answer

b. 972

Answer

c. 746

Answer

d. 548

Question 2

A and B working together can finish a job in 5 days, B and c together can finish the same job in 4 days, and A and C in 2.5 days. In how days can all of them do the job working together?

Accepted Answer

d. 2.03 days

Answer

a. 1.06 days

Answer

b. 2.4 days

Answer

c. 3.2 days

Question 3

If Chicago is 10% taller than Ishida and Ishida is 10% taller than Chad, then Ichigo is taller than Chad by how many percent?

Accepted Answer

c. 21%

Answer

a. 31%

Answer

b. 41%

Answer

d. 11%

Question 4

After the price of petroleum oil went up by 10%, a buyer reduced his oil consumption by the same percent. By what percent would his petroleum bill changed?

Accepted Answer

a. 1%

Answer

b. 11%

Answer

c. 10%

Answer

d. 0.1%

Question 5

Find the mean, median and mode respectively of the following numbers: 13, 13, 14, 12, 11, 10, 9, 11, 8, 11, 5, and 15.

Accepted Answer

d. 11, 11, 11

Answer

a. 10, 10, 10

Answer

b. 10, 11, 10

Answer

c. 10, 11, 11

Question 6

There are 4 white balls and 6 red balls in a sack. If the balls are taken out successively (the first ball is not replaced), what is the probability that the balls drawn are of different colors.

Accepted Answer

b. 8/15

Answer

a. 23/90

Answer

c. 24/103

Answer

d. 7/15

Question 7

An organization consists of n engineers and n nurses. If two of the engineers are replaced by two other nurses, then 51% of the group members will be nurses. Find the value of n

Accepted Answer

d. 100

Answer

a. 70

Answer

b. 110

Answer

c. 50

Question 8

z varies directly as x and inversely as y². If x = 1 and y = 2, then z = 2. Find z when x = 3 and y = 4.

Accepted Answer

a. 1.5

Answer

b. 0.5

Answer

c. 2.5

Answer

d. 3.5

Question 9

When two dice are thrown, what is the probability that the sum of the two faces shown is 6?

Accepted Answer

d. 5/36

Answer

a. 1/36

Answer

b. 1/6

Answer

c. 1/9

Question 10

An ECE class of 40 students took examinations in Electronics and Communications. If 30 passed in Electronics, 36 passed in Communication and 2 failed in both subjects, how many students passed in both subjects?

Accepted Answer

a. 28

Answer

b. 30

Answer

c. 26

Answer

d. 32

Question 11

The excess of the sum of the fourth and fifth parts over the difference of the half and third parts of a number is 119. Find the number.

Accepted Answer

c. 420

Answer

a. 240

Answer

b. 320

Answer

d. 230

Question 12

What is the area, in square feet, of the triangle whose sides have lengths equal to 10, 6 and 8 feet?

Accepted Answer

24

Answer

48

Answer

56

Answer

72

Question 13

Solve for x if the equation is 3102 + 9*3100 + 3103/3 = x

Accepted Answer

c. 3103

Answer

a. 3101

Answer

b. 3102

Answer

d. 3104

Question 14

Of the 80 students in class, 25 are studying German, 15 French and 13 Spanish. 3 are studying German and French; 4 are studying French and Spanish; 2 are studying German and Spanish; and none is studying all 3 languages at the same time. How many students are not studying any of the three languages?

Accepted Answer

36

Answer

1

Answer

27

Answer

2

Question 15

There were 2 small circles C1 and C2 inside a large circle AB. AB is a diameter of the large circle. The centers C1 and C2 of the smaller circles are on AB. The two small circles are congruent and tangent to each other and to the larger circle. The circumference of circle C1 is 8Pi. What is the area of the large circle?

Accepted Answer

a. 64Pi

Answer

b. 32Pi

Answer

c. 156Pi

Answer

d. 128Pi

Question 16

DE is parallel to CB and (length of AE / length of EB) is 4. If the area of triangle AED is 20 square inches, what is the area, in square inches, of triangle ABC?

Accepted Answer

a. 31.25

Answer

b. 80

Answer

c. 320

Answer

d. 1,600

Question 17

Round (202)2 to the nearest hundred.

Accepted Answer

b. 40,800

Answer

a. 48,000

Answer

c. 42,000

Answer

d. 44,000

Question 18

If w workers, working at equal rates, can produce x toys in n days, how many days it takes c workers, working at same equal rates, to produce y toys?

Accepted Answer

d. y*w*n / (x*c)

Answer

a. y*w*c/(w*n)

Answer

b. y*w/(w*n*c)

Answer

c. y*w*n / x

Question 19

A number of the form 213ab, where a and b are digits, has a reminder less than 10 when divided by 100. The sum of all the digits in the above number is equal to 13. Find the digit b.

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 20

If thrice the smaller number exceeds the larger by 12. Find the larger number if the two numbers are consecutive odd integers.

Accepted Answer

9

Answer

7

Answer

10

Answer

8

Question 21

Determine how much water should be evaporated from 50kg of 30% salt solution to produce a 60% salt solution. All percentages are by weight.

Accepted Answer

a. 25 kg

Answer

b. 35 kg

Answer

c. 15 kg

Answer

d. 20 kg

Question 22

A runs around a circular track in 60 seconds, and in 50 seconds. Five seconds after A starts, B starts from the same point in the same direction. When will they be together for the first time, assuming they run around the track continuously?

Accepted Answer

c. 5.5 mins

Answer

a. 3.5 mins

Answer

b. 6.5 mins

Answer

d. 7.5 mins

Question 23

Line L passes through the points (-2, 0) and (0, a). Line LL passes through the points (4, 0) and (6, 2). What value of a makes the two lines parallel?

Accepted Answer

c. 2

Answer

a. 1/2

Answer

b. -2

Answer

d. -1/2

Question 24

Two dice are tossed. What is the probability that the sum of the two dice is greater than 3?

Accepted Answer

c. 11/12

Answer

a. 3/4

Answer

b. 5/6

Answer

d. 1/4

Question 25

If L is a line through the points (2,5) and (4,6), what is the value of k so that the point of coordinates (7,k) is on the line L?

Accepted Answer

c. 15/2

Answer

a. 5

Answer

b. 6

Answer

d. 11/2

Question 26

The lines with equations x + 3y = 2 and -2x + ky = 5 are perpendicular for k = ?

Accepted Answer

b. 2/3

Answer

a. 1/3

Answer

c. 2/4

Answer

d. 1/4

Question 27

An investor has P100,000, part of which he invested at 12% interest and the rest at 18%. He received a total annual interest of P15,300. How much did he invest at 18% interest rate?

Accepted Answer

c. 55,000

Answer

a. 65,000

Answer

b. 60,000

Answer

d. 75,000

Question 28

An object travels at fifteen feet per minute. How many feet does it travel in 24 minutes and 40 seconds?

Accepted Answer

b. 370

Answer

a. 360

Answer

c. 365

Answer

d. 375

Question 29

DE is parallel to CB and (length of AE / length of EB) is 4. If the area of triangle AED is 20 square inches, what is the area, in square inches, of triangle ABC?

Accepted Answer

a. 31.25

Answer

b. 80

Answer

c. 320

Answer

d. 1,600

Question 30

A number is given as 987562153ab where a and b are digits. Which values of a and b, such that a + b = 11 and a < b, would result in 987562153ab being divisible by 4?

Accepted Answer

c. a = 5 , b = 6

Answer

a. a = 3 , b = 8

Answer

b. a = 7 , b = 8

Answer

d. a = 3 , b = 4

Question 31

AC is parallel to DE. AE, FG and CD intersect at the point B. FG is perpendicular to AC and DE. The length of DE is 5 inches, the length of BG is 8 inches and the length of AC is 6 inches. What is the area, in square inches, of triangle ABC?

Accepted Answer

a. 28.8

Answer

b. 20

Answer

c. 24

Answer

d. 22

MATH 55

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