Decimal Fraction Question with Solution

September 14, 2023

Decimal Fraction Question 

On this page, you will learn about the Decimal Fraction Questions with solution, with the types of Decimal Fractions and also some solved questions with explanation. 

number system questions

Types of Decimal and Fraction

The decimals is of two types :

  • Non recurring decimal or terminating decimal

As the name proposes, non-recurring signifies the number which do not reappear or reiterate that is they terminate or come to an end such as, 0.5, 0.25, as well as 0.125 or more. For the mater of converting these fractions, only the numerator has to be divided with the denominator. For instance, if you have to convert 1/4 into a decimal then you need to divide 1 by 4 to get the answer as 0.25.

Converting 0.5 into fraction

0.5 = 5 / 10
= 1 / 2, or

converting 1/4 into Decimal

Dividing  1 by 4 we will get
= 0.25

  • Recurring decimal or non-terminating decimal

It can be said from the name itself that signifies the number which reappears or reiterate that is they do not terminate or come to an end, such as. 0.333…, 0.545454…. and more. For converting these fractions, all we have to do is to divide the numerator with the denominator. For instance, if you want to convert 1/3 in a decimal, then divide 1 by 3 to get the result as 0.333…

Converting 1/3 into decimal

Dividing 1 by 3 we will get
= 0.333..

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Decimal Fraction Question with Solution 

1. Find a number such that when 18 is subtracted from 8 times the number, the result is 12 more than twice the number.

5

5

79.85%

10

10

8.4%

15

15

6.72%

20

20

5.04%

Let, the number be z, Then,
8z – 18 = 2z + 12
⇒ 6z = 30 ⇔ z = 5.
Hence, the required number is 5.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

2. The sum of two numbers is 198. If one-third of the one exceeds one - seventh of the other by 8, find the smaller number.

65

65

10.55%

68

68

16.09%

70.8

70.8

12.14%

76.2

76.2

61.21%

Let the number be z and (198 – z). then,

⇒ z/3 – (198 – z )/7 = 8.

⇒ 7z – 3(198 – z) = 168

⇒ 10z = 762

⇒ z = 76.2

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3. What percent of 1000.008 is 10320.408?

1130.25%

1130.25%

7.26%

1032.032%

1032.032%

68.82%

1030%

1030%

6.18%

1032%

1032%

17.74%

Let x% of 1000.008 = 10320.408
Then, x/100 * 1000.008 = 10320.408
1000.008x = 1032040.8
x = 1032040.8/ 1000.008
x = 1032.032%

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4. Find the value of x in the given expression: 310420/1009= x/ 0.0075

1.8

1.8

5.97%

2.30

2.30

73.9%

3.5

3.5

15.41%

None of the above

None of the above

4.72%

310420/1009= x/ 0.0075
= 1009x = 310420 * 0.0075
= 1009x = 2328.15
x = 2328.15/1009
x = 2.30

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5. If 122.21x = 0.00122y, then find the value of ((y - x) / (y + x)).

6110439 / 6110561

6110439 / 6110561

32.19%

6110439/6110561

6110439/6110561

39.48%

6110561/6110500

6110561/6110500

18.45%

None of the above

None of the above

9.87%

x/y = 0.00122 / 122.21
= 000.122 / 12221
= 122 / 12221000
= 61 / 6110500
x = 61 , y = 6110500

y-x = 6110500 - 61 = 6110439
y+x = 6110500+61 = 6110561

(y-x) / (y+x) = 6110439 / 6110561

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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6. What least number is there in the place of * so that the number 9041705*4 is divisible by 7?

3

3

12%

2

2

18.91%

4

4

9.45%

5

5

59.64%

9 + 0 + 4 + 1 + 7 + 0 + 5 + 4 = 30
The nearest number divisible by 7 is 35
7 * 5 = 35
Therefore, the missing number is 35 – 30 = 5
Hence, the number is 904170554

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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7. Find the sum of all the prime number between 10000 and 10100?

110424

110424

14%

110648

110648

13.5%

110651

110651

61%

110650

110650

11.5%

The prime numbers between 10000 and 11000 are:
10007, 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, and 10099
Therefore, the sum = 10007+ 10009+ 10037+ 10039+ 10061 + 10067 + 10069 + 10079 + 10091 + 10093 + 10099 = 110651

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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8. A number is as much greater than 5001 as it is less than 10001. Find the number.

7741

7741

19.08%

7501

7501

67.18%

7546

7546

6.87%

7549

7549

6.87%

Let the number be x
Given, (x-5001) = (10001-x)
= x + x = 10001 + 5001
2x = 15002
x = 7501

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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9. Eleven thirtieth of a number is 12 more than one fifth of a number. Find the number.

45

45

9.69%

60

60

16.74%

55

55

9.69%

72

72

63.88%

11/30x – 1/5x = 12
5/30x = 12
1/6x = 12
x = 12 * 6
x = 72

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

10. Find the value of .114*.114+2*.114*.044+.044*.044

0.024964

0.024964

56.34%

0.201232

0.201232

21.13%

1.306956

1.306956

13.15%

30.69

30.69

9.39%

To calculate the expression .114 * .114 + 2 * .114 * .044 + .044 * .044, we can simplify it step by step:
.114 * .114 = 0.012996
2 * .114 * .044 = 0.010032
.044 * .044 = 0.001936
Adding these values together:
0.012996 + 0.010032 + 0.001936 = 0.024964
Therefore, the value of .114 * .114 + 2 * .114 * .044 + .044 * .044 is approximately 0.024964

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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