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DAT > Quantitative Reasoning > Flashcards

Quantitative Reasoning Flashcards

1
Q

What is 963.02 expressed in proper scientific notation? 9.6302x102 9.6302x104 9.6302x10-2 9.6302x10-4

A

9.6302x10^2 Correct!

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2
Q

What is 472,500,000 expressed in proper scientific notation? 4.725x10-9 4.725x109 4.725x10-8 4.725x108

A

4.725x10^8 Correct!

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3
Q

What is (2.0x10-8)(1.7x105)? 3.4x10-2 3.4x103 3.4x10-13 3.4x10-3

A

3.4x10^-3 Correct!

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4
Q

What is (3.0x106)(4.1x105)? 1.23x1012 1.23x1011 12.3x1010 1.23x102

A

1.23x10^12 Correct!

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5
Q

What is 6.2X10^3/3.1X10^0-2? 2.0x105 2.0x10-1 2.0x101 2.0x104

A

2.0x10^5 Correct!

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6
Q

What is 0.00000354 expressed in proper scientific notation? 3.54x10-6 3.54x105 3.54x10-5 3.54x106

A

3.54x10^-6 Correct!

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7
Q

What is 5.1X10^-6/1.7X10^-9? 3.0x10-8 3.0x10-9 3.0x109 3.0x10-10

A

3.0x10-9 Correct!

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8
Q

Solve the following: 3/5 X 10/13 13/18 6/13 1 and 24/65 89/65

A

6/13

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9
Q

Solve the following: 6/10 divided by 3/20 9/100 9/20 4 1/4

A

4

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10
Q

Write 127/12 as a mixed number

A

10 7/12

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11
Q

Write 6 3/8 as an improper fraction

A

51/8

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12
Q

Solve 2/9-3/5

A

common denominator is 45: -17/45

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13
Q

Solve: 1/5 + 2/3 - 1/2

A

11/30

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14
Q

Write 2 11/15 as an improper fraction

A

41/15

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15
Q

Solve: 7/11 divided by 8/33

A

21/8 or 2 5/8

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16
Q

Solve: 14/39 X 13/21

A

2/9

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17
Q

Solve: 1/4 X 2/3

A

1/6

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18
Q

Solve: 3/8 - 1/3

A

1/24

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19
Q

Solve: 4/7 divided by 1/6

A

24/7

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20
Q

Solve: 3/4 + 2/3

A

17/12

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21
Q

Write 42/11 as a mixed number

A

3 9/11

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22
Q

Solve: 1/4 divided by 5/6

A

3/10

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23
Q

Solve: 1/4 + 2/3 + 5/6

A

7/4

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24
Q

Solve: 1/7 +3/4

A

25/28

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25
Q

Which of the following is the largest? 3/5 21/25 5/7 11/25

A

21/25; First, compare all fractions to 1/2. If they are smaller than their 1/2 then cross it out. Then subtract the numerator from the denominator and compare the fractions with the same resulting number. Whichever has the largest number is the bigger number. Cross multiply the remaining fractions with arrows pointing up.

26
Q

Which of the following is the largest? 2/5 15/23 11/19 14/31

A

15/23 1. Compare numbers below and above 1/2 2. Compare numbers with equal differences between the numerator and denominator. 3. Get a common denominator to compare

27
Q

Which of the following is the largest? 10/19 7/13 11/17 4/9

A

11/17 1. Compare numbers below and above 1/2 2. Compare numbers with equal differences between the numerator and denominator. 3. Get a common denominator to compare

28
Q

If 35% of x equals 28, what is 54% of x?

A

43.2 Set up an equation using the information given: 0.35 (x) = 28 Now, solve for x: x = 28/0.35 x = 80 Now, find 54% of 80 by multiplying by 0.54: 0.54(80) = 43.2

29
Q

What is 5% of 12% of 125?

A

0.75 5/100 X 12/100 X 125 reduces to: 1/20 X 3 X 5 = 3/4 or 0.75

30
Q

While calculating her monthly spending, Charlotte finds that 18% of her monthly income was spent on food and groceries, 5% on gasoline, 22% on rent and utilities, and 11% on shopping and leisure. If she had $765.54 remaining at the end of the month, what is her monthly income?

A

$1739.86 First we can see that Charlotte’s expensed amount to 56% of her total income (18% + 5% + 22% + 11%). This leaves her with 44% of her income remaining. 0.44 x = 765.54 Now, solve for x to find Charlotte’s monthly income: x = 765.54/0.44 = 1739.86 So Charlotte’s monthly income is $1739.86

31
Q

A television has a discount of 25%, which gives a total savings of $95 off the retail price. What is the sale price of the television?

A

If the television is discounted 25% then the sale price is equal to 75% of the original price. If 25% of the original price amounts to $95, then 75% of the original price should be 3 times greater. 3 ($95) = $285 Alternatively we could first find the original price of the television. The sale price of $95 represents 25% of the original price. Use the information given to form an equation where x equals the original price of the television: (0.25) x = 95 Now, solve for x: x = 95/0.25 = 380 Now, subtract the savings from the original price of the television: $380 – $95 = $285

32
Q

What is 16% of 800?

A

10(800)= 8000 6(800)= 4800 12800/100= 128

33
Q

A contestant on a reality television weight-loss program weighs 255.4 pounds at the start of the series. After 3 months, they are 28% lighter. What was their weight after 3 months on the show?

A

(.28)(255.4)= (30)(260)= (6000+1800)= 7800/100= 78 255.5-78=255.5-100= 155.5+22= 177.5 This number will be a little low than the actual number, since we estimated a bit high and therefore subtracted a little too much. The actual answer is 183.9 lbs.

34
Q

If 8.12 is 144% of a certain number, 20% of the number is:

A

Set up an equation where x = the number you are trying to find, so: 8.12 = 1.44(x) Now, solve for x: x = 8.12/1.44 x = 5.64 Now, find 20% of x by multiplying x by 0.2: 0.2x = 5.64(0.2) = 1.13

35
Q

Your job pays an annual salary of $35,000. Income tax is 15% of your salary. Each year the company offers a 5% raise on employee salary. After three years, what would your expected annual income be after taxes?

A

$34,439.35 the salary after 3 years can be calculated using the following equation: 35,000 (1.05)(1.05)(1.05) = 35,000 (1.05)^3 = 40,516.88 Next, subtract the tax from this amount. If tax is 15%, the salary after tax would be 100 – 15 = 85% of 40, 516.88: 40, 516.88 (0.85) = 34,439.35 So the expected salary after 3 years after tax would be $34,439.35

36
Q

What is 71% of 1380?

A

979.8

37
Q

If the tax on a new car is 8.5% of the value and you pay $1899 in state taxes when you purchase the car, what was the price of the car?

A

The $1899 sales tax represents 8.5% of the car price. Use the information given to form an equation where x equals the price of the car: 0.085 x = 1899 Now, solve for x to find the price of the car: x = 1899/0.085 = 22,341.18 So the price of the car was $22,341.18

38
Q

What is 2% of 25% of 2.4?

A

0.012 0.5 X 2.4= 1.2 X 0.5= 0.06 X .1= 0.006 + 0.006= 0.012

39
Q

If 68.64 is 132% of x, what is 65% of x?

A

A quick solution would be to realize that 65% is just less than half of 132%. So if 132% of x is equal to 68.84, then 65% of x would be a little less than half of 68.84 and 33.8 is the only answer choice even close. Alternatively we can set up an equation using the information given: 1.32 (x) = 68.64 Now, solve for x: x = 68.64/1.32 = 52 Now, find 65% of 52 by multiplying by 0.65:

40
Q

15 is what percent of 1875?

A

0.8%

41
Q

Best Buy is having a 40% sale on all laptop computers. A laptop is on sale for $899.99, what is the regular price?

A

Use the information given to form an equation where x equals the regular price of the laptop. If the sale gives a 40% reduction, then the sale price of $899.99 represents 100 – 40 = 60% of the original price (x): 0.6 x = 899.99 Now, solve for x to find the regular price of the laptop: x = 899.99/0.6 = $1499.98 So the regular price of the laptop is $1499.98

42
Q

112% of which number equals 51.52?

A

46 Set up an equation using the information given, where x equals the number: 1.12 (x) = 51.52 Now, solve for x: x = 51.52/1.12 = 46

43
Q

If 36% of x is 126, solve for x?

A

350

44
Q
A

0.05

45
Q
A

0.05

46
Q
A

3.48

47
Q
A

14.28

48
Q
A

5.74

49
Q
A

take the square root of 4 and you get 2 so this should be a little less than two. If you use scientific notation and take square root 3.6X10^-6 you would get around 1.9X10^-2 or 0.019

50
Q
A

0.102

51
Q

John is ordering wooden fencing to make a fence around his square garden. He knows that the area is 1369 square feet but the orders are made in meters. How much fencing does he need to order?

A

45.11m

52
Q
A

0.15

53
Q
A

0.0027

54
Q
A

0.165

55
Q

The area of a square field is 0.000324 km2. What is the length of one side?

A

18 m

56
Q
A

5.6

57
Q
A

0.13

58
Q
A

0.072

59
Q
A

1.203

60
Q
A

DAT (18 decks)

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