Quiz about Quantitative IUP GMST Paket 1

Question 1

Question 1.

Accepted Answer

$$\frac{59}{20}$$

Answer

$$\frac{1}{5}$$

Answer

$$\frac{11}{15}$$

Answer

$$\frac{47}{60}$$

Answer

12

Question 2

Question 2.

Accepted Answer

$$\frac{19}{4}$$

Answer

$$\frac{17}{12}$$

Answer

$$\frac{19}{12}$$

Answer

$$\frac{7}{2}$$

Answer

$$\frac{17}{2}$$

Question 3

Question 3.

Accepted Answer

$$\frac{16}{15}$$

Answer

$$\frac{1}{15}$$

Answer

$$\frac{12}{25}$$

Answer

$$\frac{5}{3}$$

Answer

$$\frac{125}{27}$$

Question 4

Question 4.

Accepted Answer

0.002

Answer

2

Answer

0.2

Answer

0.02

Answer

0.0002

Question 5

Question 5.

Accepted Answer

$$10^8$$

Answer

10

Answer

$$10^2$$

Answer

$$10^5$$

Answer

$$10^{10}$$

Question 6

Question 6.

Accepted Answer

$$x<y<z$$

Answer

$$x<z<y$$

Answer

$$z<y<x$$

Answer

$$z<x<y$$

Answer

$$y<z<x$$

Question 7

Question 7.

Accepted Answer

23.450

Answer

11.150

Answer

20.131

Answer

45.321

Answer

53.231

Question 8

Question 8.

Accepted Answer

17

Answer

3

Answer

5

Answer

11

Answer

19

Question 9

During a sale Arianna purchases a sweater listed at $100. With 20% off and 7% sales tax, how much did she pay for the discounted sweater?

Accepted Answer

$85.6

Answer

$73

Answer

$80

Answer

$87

Answer

$88.3

Question 10

Franco decides to purchase a new washing machine that sells for $1,100. After making a down payment of $125, he will pay of the remainder in monthly payments of $75. How many moths will it take for Franco to pay off the new washing machine?

Accepted Answer

13

Answer

7

Answer

8

Answer

9

Answer

15

Question 11

An electronics store owner purchase DVDs from his supplier, paying $270.80 for 20 DVDs. He then sells them to his customers during a special sale, charging $53.01 for 3 DVDs. How much profit, per DVD, does the owner make during the special sale?

Accepted Answer

$4.13

Answer

$9.33

Answer

$13.54

Answer

$17.67

Answer

$82.60

Question 12

At a party, the ratio of males to females is 3 : 4. Which of the following could NOT be the total number of people at the party?

Accepted Answer

44

Answer

14

Answer

35

Answer

63

Answer

70

Question 13

Question 13.

Accepted Answer

$$\frac{8}{15}$$

Answer

$$\frac{3}{10}$$

Answer

$$\frac{2}{5}$$

Answer

$$\frac{5}{6}$$

Answer

$$\frac{15}{8}$$

Question 14

A special snack mix uses raisins, peanuts, and chocolate candies in the ratio 1 : 2 : 5, respectively. In a snack mix of 112 ounces, how many ounces of peanuts are used?

Accepted Answer

28

Answer

80

Answer

70

Answer

50

Answer

14

Question 15

Kate ate 1/3 of a cake, Fritz ate 1/2 of the remaining cake, and what was left was eaten by Emily. The fraction of the cake eaten by Emily equals

Accepted Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{5}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{5}$$

Question 16

3/8 of a number is what fraction of 2 times the number?

Accepted Answer

$$\frac{3}{16}$$

Answer

$$\frac{3}{8}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{4}{6}$$

Answer

$$\frac{3}{4}$$

Question 17

Question 17.

Accepted Answer

$$\frac{12}{35}$$

Answer

$$\frac{1}{5}$$

Answer

$$\frac{1}{7}$$

Answer

$$\frac{1}{35}$$

Answer

$$\frac{23}{35}$$

Question 18

Question 18.

Accepted Answer

$$\frac{31}{32}$$

Answer

$$\frac{900}{992}$$

Answer

$$\frac{30}{32}$$

Answer

$$\frac{30}{31}$$

Answer

$$\frac{992}{900}$$

Question 19

How many two-digit positive integers are multiples of both 2 and 5?

Accepted Answer

9

Answer

5

Answer

6

Answer

45

Answer

48

Question 20

If n is an even integer, which one of the following is an odd integer?

Accepted Answer

$$2n^2-3$$

Answer

$$n^2$$

Answer

$$\frac{\left(n+1\right)}{2}$$

Answer

$$-2n-4$$

Answer

$$\sqrt[]{n^2+n}$$

Question 21

If n is an integer, which of the following CANNOT be an integer?

Accepted Answer

$$\sqrt[]{\frac{1}{n^2+2}}$$

Answer

$$\frac{\left(n-2\right)}{2}$$

Answer

$$\sqrt[]{n}$$

Answer

$$\frac{2}{n+1}$$

Answer

$$\sqrt[]{n^2+3}$$

Question 22

By how much is the greatest of five consecutive even integers greater than the smallest among them?

Accepted Answer

8

Answer

1

Answer

2

Answer

4

Answer

10

Question 23

If x and y are positive integers, and are not both even, which of the following must be even?

Accepted Answer

$$4\left(x+y\right)-2$$

Answer

$$x+y$$

Answer

$$x-y$$

Answer

$$\left(x+3\right)\left(x-4\right)$$

Answer

$$x+y-6$$

Question 24

Question 24.

Accepted Answer

4

Answer

6

Answer

10

Answer

11

Answer

24

Question 25

The remainder when the positive integer m is divided by n is r. What is the remainder when 2m is divided by 2n?

Accepted Answer

2r

Answer

r

Answer

2n

Answer

m-nr

Answer

2(m-nr)

Question 26

If p and q are both positive integers such that $$\frac{p}{9}+\frac{q}{10}$$ is also an integer, then which one of the following numbers could p equal?

Accepted Answer

9

Answer

3

Answer

4

Answer

11

Answer

19

Question 27

The remainder is 57 when a number is divided by 10,000. What is the remainder when the same number is divided by 1,000?

Accepted Answer

57

Answer

5

Answer

7

Answer

43

Answer

570

Question 28

If n is a positive integer and (n+1)(n+3) is odd, then (n+2)(n+4) must be a multiple of which one of the following?

Accepted Answer

8

Answer

3

Answer

5

Answer

6

Answer

16

Question 29

The number of prime numbers divisible by 2 plus the number of prime numbers divisible by 3 is...

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Answer

4

Question 30

In one-week period, the price of regular unleaded gasoline went from $2.50/gallon to $2.75/gallon. What was the percent increase in the price of a gallon of regular unleaded gasoline?

Accepted Answer

10%

Answer

9%

Answer

20%

Answer

25%

Answer

90%

Question 31

Ling rides his bicycle a distance of 40 miles in 5 hours and then return the same distance in only 4 hours. What is his average rate, in miles/hour, for the entire trip?

Accepted Answer

$$\frac{80}{9}$$

Answer

$$\frac{20}{9}$$

Answer

$$\frac{40}{9}$$

Answer

$$\frac{9}{2}$$

Answer

9

Question 32

Question 32.

Accepted Answer

0.6

Answer

0.75

Answer

3.25

Answer

3.6

Answer

3.8

Question 33

Question 33.

Accepted Answer

C,A,D,E,B

Answer

A,C,B,D,E

Answer

C,A,B,E,D

Answer

D,C,B,A,E

Answer

C,D,A,B,E

Question 34

Question 34.

Accepted Answer

$$y<z<v<x<w$$

Answer

$$v<z<y<x<w$$

Answer

$$z<v<x<w<y$$

Answer

$$z<y<x<v<w$$

Answer

$$v<w<z<y<x$$

Question 35

Question 35.

Accepted Answer

512

Answer

20

Answer

128

Answer

1024

Answer

2048

Question 36

Question 36.

Accepted Answer

$119.41

Answer

$118.00

Answer

$121.37

Answer

$125.92

Answer

$141.85

Question 37

Question 37.

Accepted Answer

$$207 imes3^{10}$$

Answer

$$207 imes3^2$$

Answer

$$207 imes3^6$$

Answer

$$207 imes3^{12}$$

Answer

$$207 imes3^{13}$$

Question 38

Question 38.

Accepted Answer

{1,64}

Answer

{1,4,8,9,16,25,36,49,64,81}

Answer

{1,9,25,27,48,81}

Answer

{1}

Answer

{64}

Question 39

Question 39.

Accepted Answer

{1,3,5,6,7,9,11,12,13,15,17,18,19}

Answer

{3,9,15}

Answer

{6,12,18}

Answer

{1,3,5,7,9,11,13,15,17,19}

Answer

{ }

Question 40

Question 40.

Accepted Answer

I, II and III

Answer

I only

Answer

II only

Answer

III only

Answer

I and II only

Question 41

Question 41.

Accepted Answer

$1000

Answer

$40

Answer

$800

Answer

$1040

Answer

$1250

Question 42

Question 42.

Accepted Answer

Wednesday and Thursday

Answer

Sunday and Monday

Answer

Monday and Tuesday

Answer

Tuesday and Wednesday

Answer

Tuesday and Thursday

Question 43

Question 43.

Accepted Answer

$$\frac{1}{16}$$

Answer

$$\frac{1}{8}$$

Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{2}$$

Answer

$$2$$

Question 44

Question 44.

Accepted Answer

65

Answer

14

Answer

35

Answer

42

Answer

70

Question 45

Question 45.

Accepted Answer

$$\frac{1}{99}$$ (approximately 0.010)

Answer

$$\frac{5}{576}$$ (approximately 0.009)

Answer

$$\frac{1}{66}$$ (approximately 0.015)

Answer

$$\frac{7}{6}$$ (approximately 1.167)

Answer

$$\frac{2711}{1980}$$ (approximately 1.369)

Question 46

Question 46.

Accepted Answer

6!

Answer

2!

Answer

3!

Answer

5!

Answer

10!

Question 47

Question 47.

Accepted Answer

0.185

Answer

0.005

Answer

0.014

Answer

0.554

Answer

1.970

Question 48

Question 48.

Accepted Answer

$$\frac{5}{18}$$ (approximately 0.278)

Answer

$$\frac{27}{700}$$ (approximately 0.039)

Answer

$$\frac{9}{50}$$ (approximately 0.180)

Answer

$$\frac{6}{23}$$ (approximately 0.261)

Answer

$$\frac{17}{48}$$ (approximately 0.354)

Question 49

Question 49.

Accepted Answer

$$\frac{45}{52} imes\frac{12}{51} imes\frac{4}{50} imes\frac{9}{49}$$

Answer

$$\frac{4}{52} imes\frac{13}{51} imes\frac{4}{50} imes\frac{12}{49}$$

Answer

$$\frac{4}{52} imes\frac{13}{51} imes\frac{4}{50} imes\frac{11}{49}$$

Answer

$$\frac{4}{52} imes\frac{12}{51} imes\frac{4}{50} imes\frac{11}{49}$$

Answer

$$\frac{4}{52} imes\frac{12}{51} imes\frac{4}{50} imes\frac{10}{49}$$

Question 50

Question 50.

Accepted Answer

83%

Answer

75%

Answer

79%

Answer

80%

Answer

84%

Question 51

If 7 is added to each of 13 different numbers, which of the following statements would NOT be true?

Accepted Answer

The range of the 13 numbers is increased by 7.

Answer

The mode is increased by 7.

Answer

The average (arithmetic mean) of the 6 largest numbers is increased by 7.

Answer

The median of the 13 numbers is increased by 7.

Answer

The average (arithmetic mean) of the 5 smallest numbers is increased by 7.

Question 52

The average (arithmetic mean) of a set of six two-digit even integers is 17. What is the largest possible even integer in this set?

Accepted Answer

40

Answer

20

Answer

22

Answer

32

Answer

34

Question 53

Which one of the following could be an integer?

Accepted Answer

Average of three consecutive integers.

Answer

Average of two consecutive integers.

Answer

Average of four consecutive integers.

Answer

Average of six consecutive integers.

Answer

Average of 6 and 9.

Question 54

If 10 boys averaged 78% on a test for which 15 girls averaged 89%, what is the test average for all 25 students?

Accepted Answer

84.6%

Answer

76.4%

Answer

83.5%

Answer

86.2%

Answer

87.8%

Question 55

In a set of 15 different integers, which of the following changes would NOT effect the value of the median of these 15 integers?

Accepted Answer

Subtracts 5 from the largest integer.

Answer

Subtracts 7 from each integer.

Answer

Add 11 to the largest integer.

Answer

Triple each integer.

Answer

Add 3 to the smallest integer.

Question 56

The shoes sizes of 10 men are 8, 10, 9, 12, 7, 10, 10, 11, 6, and 7. How much greater than the mode is the median.

Accepted Answer

0.5

Answer

0

Answer

5

Answer

9.5

Answer

10

Quantitative IUP GMST Paket 1

58 questions

During a sale Arianna purchases a sweater listed at $100. With 20% off and 7% sales tax, how much did she pay for the discounted sweater?

Franco decides to purchase a new washing machine that sells for $1,100. After making a down payment of $125, he will pay of the remainder in monthly payments of $75. How many moths will it take for Franco to pay off the new washing machine?

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