Quantitative Reasoning Fractions And Decimals Test Online

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Question 1

1. 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 2

2.

Question 3

3.

Question 4

4.

Question 5

5.

Question 6

6. 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 7

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

Answer

None of these

Question 8

8.

Question 9

9.

Question 10

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

Answer

252/1000 and 748/1000

Answer

262/1000 and 752/1000

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

24/100 and 74/100

Question 11

11. 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, 19/21, 11/14

Answer

16/19, 11/16, 19/21

Answer

11/16, 16/19, 19/21

Question 12

12. 3.1469 + 6.837 + ? = 15. What is the missing number?

Answer

None of these

Answer

en, 15 - 9.9839 = 5.0161

Question 13

13. 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 14

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

Answer

en divide by ½: (21/2) ÷ (1/2) = 21

Answer

nvert 10½ to an improper fraction: 21/2

Question 15

15. 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. 181.84

Answer

Rs. 180.84

Answer

Rs. 181.45

Answer

0.57 − 3.05 − 5.68 = Rs. 181.84

Answer

Rs. 180.45

Question 16

16. (7.5 × 0.9 × 1.44) is equal to:

Answer

75 × 1.44 = 9.72

Answer

en final result = 97.2

Answer

5 × 0.9 = 6.75

Question 17

17.

Question 18

18. 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

dest = 3292.866 × 3.7 = Rs. 12183.6042

Answer

cond = 968.49 × 3.4 = Rs. 3292.866

Answer

Rs. 16444.96

Answer

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

Answer

Rs. 16450.50

Answer

ungest = Rs. 968.49

Answer

Rs. 16444.55

Question 19

19. Which fraction is the largest?

Answer

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

Answer

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

Answer

10 = 56/80

Question 20

20. 5463 + 546.3 – 54.63 + ? = 5999.3. What is the missing number?

Answer

None of these

Answer

en, 5999.3 – 5954.67 = 44.63

Answer

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

Answer

63 + 546.3 – 54.63 + x = 5999.3

Answer

checking by solving:

Question 21

21.

Question 22

22.

Question 23

23. The sum of 2.75 and -3.78 is:

Answer

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

Answer

it, image gives direct sum = 4.53

Answer

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

Answer

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

Answer

cording to the image:

Answer

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

Answer

t from the solution:

Question 24

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

Answer

7/9, 6/7, 3/5

Answer

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

Answer

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

Answer

3/5, 7/9, 6/7

Answer

6/7, 7/9, 3/5

Question 25

25.

Question 26

26. 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 27

27. 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 28

28. 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

79 − 285 = 994 lb

Answer

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

Question 29

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

Answer

ltiply 5¾ by 3:

Question 30

30.

Question 31

31. 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 32

32.

Question 33

33.

Question 34

34.

Question 35

35.

Question 36

36. 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

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

Answer

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

Question 37

37. 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 38

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

Answer

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

Answer

nvert both to improper fractions:

Answer

5/16 = 53/16 and 2¾ = 44/16

Question 39

39. 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

tal = 5.92 + 1.00 = Rs. 6.92

Answer

st of 20 lemons:

Answer

× 0.05 = Rs. 1.00

Answer

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

Question 40

40. 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 41

41. 1.086 – .3983 – .669 = ?

Question 42

42. 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 43

43. The fraction for 0.535353… is:

Answer

5353… = 0.53 recurring = 53/99

Question 44

44. 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

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

Answer

× 5½ = 22 exactly.

Answer

her options result in wastage.

Question 45

45.

Question 46

46. 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

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

Answer

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

Question 47

47. What decimal of an hour is a second?

Answer

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

Question 48

48. 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

1.55 and 1.52 in

Answer

1.52 and 1.49 in

Answer

1.53 and 1.52 in

Answer

1.49 and 1.50 in

Question 49

49. 0.000006723 when expressed in scientific notation is:

Answer

6.723 x 10⁻⁶

Answer

6723 x 10⁻¹

Answer

67.23 x 10⁻⁷

Answer

None of these

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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