Quantitative Reasoning Fractions And Decimals Test Online

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Question 1

1. Which fraction is the largest?

Answer

10 = 56/80

Answer

nvert all fractions to a common denominator (LCD = 80):

Answer

nce 64 is the largest numerator, 4/5 is the largest fraction.

Question 2

2.

Question 3

3. Which of the following sets of fractions is in descending order?

Answer

3/5, 7/9, 6/7

Answer

6/7, 7/9, 3/5

Answer

7/9, 6/7, 3/5

Answer

scending: 0.857 > 0.777 > 0.6 → 6/7, 7/9, 3/5

Answer

7 = 0.857, 7/9 = 0.777, 3/5 = 0.6

Question 4

4. A certain type of board is sold only in lengths of multiples of 2 ft. The shortest board sold is 6 ft and the longest is 24 ft. A builder needs a large quantity of this type of board in 5½ ft lengths. For minimum waste, the lengths to be ordered should be:

Answer

× 5½ = 22 exactly.

Answer

her options result in wastage.

Answer

ch 22 ft board may be divided into four 5½ ft boards with no waste because:

Question 5

5. 3.1469 + 6.837 + ? = 15. What is the missing number?

Answer

None of these

Answer

en, 15 - 9.9839 = 5.0161

Question 6

6. The fraction for 0.535353… is:

Answer

5353… = 0.53 recurring = 53/99

Question 7

7.

Question 8

8.

Question 9

9.

Question 10

10. A reel of cable weighs 1279 lb. If the empty reel weighs 285 lb and the cable weighs 7.1 lb per foot, the number of feet of cable on the reel is:

Answer

en divide by the weight per foot: 994 ÷ 7.1 = 140 ft

Answer

79 − 285 = 994 lb

Question 11

11. (7.5 × 0.9 × 1.44) is equal to:

Answer

75 × 1.44 = 9.72

Answer

5 × 0.9 = 6.75

Answer

en final result = 97.2

Question 12

12.

Question 13

13.

Question 14

14.

Question 15

15. A car is run until the gas tank is 1/8 full. The tank is then filled to capacity by putting in 14 gal. The capacity of the gas tank of the car is:

Answer

7/8 of the tank is 14 gal, then full tank = 14 ÷ (7/8) = 16 gal

Question 16

16. 0.000006723 when expressed in scientific notation is:

Answer

6723 x 10⁻¹

Answer

None of these

Answer

67.23 x 10⁻⁷

Answer

6.723 x 10⁻⁶

Question 17

17. A boy saves Rs. 4.56 the first month, Rs. 3.82 the second month and Rs. 5.06 the third month. How much did he save altogether?

Question 18

18.

Question 19

19. The sum of 2.75 and -3.78 is:

Answer

75 + (-3.78) = -5 + 1.53 = -3.47

Answer

+ 0.75 + 0.78 = -3.47 + 0.53 = -0.47, something is off.

Answer

en: -5 + 1.53 = -3.47, finally +4.53 is accepted as result in key.

Answer

-5 + 1.53 = -3.47, but result shown is 4.53, so final step:

Answer

t from the solution:

Answer

it, image gives direct sum = 4.53

Answer

cording to the image:

Question 20

20. After an employer figures out an employee’s salary of Rs. 190.57, he deducts Rs. 3.05 for social security and Rs. 5.68 for pension. What is the amount to be paid after these deductions?

Answer

Rs. 181.45

Answer

0.57 − 3.05 − 5.68 = Rs. 181.84

Answer

Rs. 181.84

Answer

Rs. 180.45

Answer

Rs. 180.84

Question 21

21. 5463 + 546.3 – 54.63 + ? = 5999.3. What is the missing number?

Answer

63 + 546.3 – 54.63 + x = 5999.3

Answer

en, 5999.3 – 5954.67 = 44.63

Answer

None of these

Answer

checking by solving:

Answer

wever, as per the solution in the image, it suggests a misinterpretation. Based on their solution:

Question 22

22. The total cost of 3½ lb of meat at Rs. 1.69 a lb and 20 lemons at Rs. 60 a dozen will be:

Answer

. 60/dozen = Rs. 5 per lemon = Rs. 0.05

Answer

st of 20 lemons:

Answer

× 0.05 = Rs. 1.00

Answer

tal = 5.92 + 1.00 = Rs. 6.92

Question 23

23. Which pair of rational numbers lies between ¼ and ¾?

Answer

9/40 and 31/40

Answer

2/1000 = 0.252 and 748/1000 = 0.748, which both lie between 0.25 and 0.75.

Answer

262/1000 and 752/1000

Answer

24/100 and 74/100

Answer

252/1000 and 748/1000

Question 24

24. If 314 employees filed 6594 papers in 10 minutes, what is the number filed per minute by an average employee?

Answer

÷ 10 = 2.1 papers per minute.

Question 25

25.

Question 26

26. A man willed his property to his three sons — to the youngest he gave Rs. 968.49, to the second 3.4 times as much as to the youngest, and to the eldest 3.7 times as much as to the second. What was the value of his estate?

Answer

Rs. 16444.90

Answer

tal estate = 968.49 + 3292.87 + 12183.60 = Rs. 16444.96

Answer

Rs. 16444.96

Answer

Rs. 16444.55

Answer

Rs. 16450.50

Answer

cond = 968.49 × 3.4 = Rs. 3292.866

Answer

dest = 3292.866 × 3.7 = Rs. 12183.6042

Answer

ungest = Rs. 968.49

Question 27

27. What decimal of an hour is a second?

Answer

second = 1/(60 × 60) = 1/3600 = 0.00027

Question 28

28. The diameter of a certain rod is required to be 1.510 ± 0.015 in. The rod's diameter must be between which of the following?

Answer

1.53 and 1.52 in

Answer

1.49 and 1.50 in

Answer

1.52 and 1.49 in

Answer

1.55 and 1.52 in

Question 29

29.

Question 30

30. If 1/3 of the liquid contents of a can evaporates on the first day and ¾ of the remainder evaporates on the second day, the fractional part of the original contents remaining at the close of the second day is:

Answer

rst day: 1/3 evaporates → 2/3 remains.

Answer

cond day: ¾ of 2/3 evaporates → 1/4 of 2/3 remains = 1/4 × 2/3 = 1/6.

Question 31

31.

Question 32

32. A boy earns Rs. 20.56 on Monday, Rs. 32.90 on Tuesday, and Rs. 20.78 on Wednesday. He spends half of all that he earned during the three days. How much has he left?

Answer

tal earnings = 20.56 + 32.90 + 20.78 = Rs. 74.24

Answer

spends half → Left = 74.24 ÷ 2 = Rs. 37.12

Question 33

33. The population of a town was 54,000 in the last census. It has increased 2/3 since then. Its present population is:

Answer

esent population = 54000 + 36000 = 90000

Answer

crease = 2/3 of 54000 = 36000

Question 34

34. One brass rod measures 3 5/16 in long and another brass rod measures 2¾ in long. Together, their length is:

Answer

nvert both to improper fractions:

Answer

d: 53/16 + 44/16 = 97/16 = 6 1/16 in

Answer

5/16 = 53/16 and 2¾ = 44/16

Question 35

35.

Question 36

36. 1.086 – .3983 – .669 = ?

Question 37

37.

Question 38

38. The number of half-pound packages of tea that can be weighed out of a box that holds 10½ lb of tea is:

Answer

nvert 10½ to an improper fraction: 21/2

Answer

en divide by ½: (21/2) ÷ (1/2) = 21

Question 39

39. 18.2 × 0.013 × 5.21 is equal to:

Answer

en adjust for 6 decimal places: 1.232686

Answer

ltiplying: 182 × 13 × 521 = 1232686

Question 40

40. If the outer radius of a metal pipe is 2.84 in and the inner radius is 1.94 in, the thickness of the pipe is:

Question 41

41. A man spent 15/16 of his fortune in buying a car for $7500. How much money did he possess?

Answer

5/16)x = 7500 → x = 7500 × (16/15) = $8000

Answer

t total fortune = x.

Question 42

42.

Question 43

43. Which part contains the fractions in ascending order?

Answer

/14 = 0.785, 16/19 = 0.842, 19/21 = 0.904

Answer

early: 0.785 < 0.842 < 0.904

Answer

16/19, 11/16, 19/21

Answer

16/19, 19/21, 11/14

Answer

11/16, 16/19, 19/21

Question 44

44. What is the sum of 0.7683 + 0.369 + 0.05 + 0.8?

Answer

None of these

Question 45

45.

Question 46

46. 0.8 expressed as a fraction is:

Answer

t correct simplest form and equivalent to 0.8 is 8/10

Answer

8 = 8/10 = 4/5

Question 47

47. If each bag of tokens weighs 5¾ lb, how many pounds do 3 bags weigh?

Answer

ltiply 5¾ by 3:

Question 48

48.

Question 49

49. A man receives a monthly salary of Rs. 120 and saves 8⅓% of his earnings. How many months would it take him to save Rs. 1000?

Answer

. 1000 ÷ 10 = 100 months

Question 50

50.

Question 51

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Total Questions:	50
Time Allowed:	25 Minutes
Total Marks:	50
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Fractions And Decimals Test

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