Practice Quantitative Aptitude questions on Decimal Fractions, covering decimal-to-fraction conversions, fraction-to-decimal conversions, recurring decimals, simplification, arithmetic operations, and comparisons of decimal values. This practice test helps students improve calculation speed and accuracy for placement tests, TCS NQT, SSC, banking and MBA entrance exams.
Question 1
Find the approximate value.
A
125✓✗
B
325✓✗
C
225✓✗
D
343✓✗
Explanation
8459 ÷ 11.98 is approximately 706. Also 7140 = 120, so 23.99 ÷ 120 = 23.99 × 20, which is approximately 480.
706 - 480 = 226, which is nearly 225.
Question 2
Add the mixed fractions (denominators 6, 8 and 3).
A
172324✓✗
B
17417✓✗
C
171648✓✗
D
41724✓✗
Explanation
Whole numbers: 8 + 5 + 4 = 17. Fractions: 16 + 18 + 23 = 4 + 3 + 1624 = 2324.
The sum = 17 2324.
Question 3
Evaluate the continued fraction.
A
546✓✗
B
68157✓✗
C
15768✓✗
D
21110✓✗
Explanation
Work from the bottom. 4 + 15 = 215. 3 + 521 = 6821. 2 + 2168 = 15768.
The value = 1 ÷ 15768 = 68157.
Question 4
Evaluate the expression (mixed fractions).
A
2✓✗
B
4✓✗
C
8✓✗
D
6✓✗
Explanation
2 15 - 1 27 = 115 - 97 = 3235.
6 - 16 = 356, so 1 ÷ 356 = 635, and 2 - 635 = 6435.
The fraction = 3235 × 3564 = 12. So 8 - 8 × 12 = 8 - 4 = 4.
Question 5
Solve for M (mixed fractions).
A
16✓✗
B
7✓✗
C
9964✓✗
D
3225✓✗
Explanation
Left side: 2 46 = 83, and 83 ÷ 53 × 73 = 85 × 73 = 5615.
Right side: (M + 25) × 89 ÷ 25 = (M + 25) × 209.
So M + 25 = 5615 × 920 = 4225, and M = 4225 - 1025 = 3225.
Question 6
Find the value of the expression (decimals).
A
963✓✗
B
1800✓✗
C
2400✓✗
D
2700✓✗
Explanation
Numerator = 2.4 × 0.72 × 4.5 = 7.776 and denominator = 0.18 × 0.06 × 0.9 = 0.00972.
7.7760.00972 = 800, and 800 × 3 = 2400.
Question 7
Find the value of c.
A
3000✓✗
B
9000✓✗
C
6000✓✗
D
3333✓✗
Explanation
Right side = 0.07 × 4310.5 = 30.170.5 = 60.34.
Left side: 1293 × 8.40.03 x c = 10861.20.03c. So 0.03c = 10861.260.34 = 180.
c = 1800.03 = 6000.
Question 8
What will be the value of 10.0004659 if 14.659 = 0.2146?
A
214.6✓✗
B
2146✓✗
C
2.146✓✗
D
21.46✓✗
Explanation
0.0004659 = 4.65910000, so 10.0004659 = 100004.659 = 10000 × 0.2146 = 2146.
Question 9
19.399 + 10.33 + 7.82 + 3.111 = ?
A
40.66✓✗
B
40.65✓✗
C
90.856✓✗
D
40.566✓✗
Explanation
19.399 + 10.33 + 7.82 + 3.111 = 40.66.
Question 10
What will be the value of (.654 × .654) - (.596 × .596).654 - .596
A
1.15✓✗
B
1.25✓✗
C
0.058✓✗
D
0.389784✓✗
Explanation
Using a² - b² = (a - b)(a + b), the expression = a + b = 0.654 + 0.596 = 1.25.
Question 11
What will be the value of 1 × 0.3 × 0.01 × 0.003?
A
0.000009✓✗
B
0.000027✓✗
C
0.00009✓✗
D
0.00003✓✗
Explanation
0.3 × 0.01 = 0.003, and 0.003 × 0.003 = 0.000009.
Question 12
In a class 34th of the students do not know either English or Hindi. But 16th of the students know English. How much students know both English and Hindi if students who know Hindi are 18th of total students in the class?
A
124✓✗
B
10024✓✗
C
1012✓✗
D
14✓✗
Explanation
34 of the students know neither language, so 14 of the students know at least one language.
English + Hindi - Both = 14, so Both = 16 + 18 - 14 = 4 + 3 - 624 = 124.
Question 13
Which of the following is in descending order?
A
58; 913; 1117✓✗
B
58; 1117; 913✓✗
C
913; 1117; 58✓✗
D
1117; 913; 58✓✗
Explanation
Convert to decimals: 58 = 0.625, 913 = 0.692 and 1117 = 0.647.
In descending order: 913, 1117, 58.
Question 14
2 x ? - 6 = 67626 What will come in place of question mark?
A
9✓✗
B
1526✓✗
C
16✓✗
D
26✓✗
Explanation
67626 = 26.
2 × ? - 6 = 26, so 2 × ? = 32 and ? = 16.
Question 15
An integer is 10 more than its one-third part. The integer is
A
15✓✗
B
12✓✗
C
18✓✗
D
25✓✗
Explanation
Let the integer be x. x = 10 + x3, so 2x3 = 10 and x = 15.
Question 16
Which is largest amongst 58, 23, 79, 35?
A
58✓✗
B
23✓✗
C
79✓✗
D
35✓✗
Explanation
Convert to decimals: 58 = 0.625, 23 = 0.667, 79 = 0.778 and 35 = 0.6.
79 is the largest.
Question 17
What will be the fraction form of 0.352323… (the digits 23 repeating)?
A
34889900✓✗
B
35239900✓✗
C
352310000✓✗
D
348810000✓✗
Explanation
Let x = 0.35232323…. Then 100x = 35.232323… and 10000x = 3523.2323….
Subtracting: 9900x = 3523 - 35 = 3488, so x = 34889900.
Question 18
Convert 0.8888… (the digit 8 repeating) into a vulgar fraction
A
8099✓✗
B
4445✓✗
C
2225✓✗
D
89✓✗
Explanation
Let x = 0.888…, so 10x = 8.888….
Subtracting: 9x = 8, so x = 89.
Question 19
What is value of 0.0065 × 1.0004?
A
0.065000260✓✗
B
0.260✓✗
C
260✓✗
D
0.0065026✓✗
Explanation
0.0065 × 1.0004 = 0.0065 + 0.0065 × 0.0004 = 0.0065 + 0.0000026 = 0.0065026.
Question 20
A fraction is divided by reciprocal of itself. It is then multiplied by the original fraction. What is the fraction if the answer obtained is 11(2564)?
A
94✓✗
B
278✓✗
C
98✓✗
D
23✓✗
Explanation
Let the fraction be f. Dividing by its reciprocal gives f ÷ 1f = f². Multiplying by the original fraction gives f³.
f³ = 112564 = 72964, so f = 94.
Question 21
Since Raj was not paying attention in class, instead of multiplying M by 27, he divided M by 27. Raj’s value was 1(1314) more than expected value of M. What is M?
A
35✓✗
B
67✓✗
C
34✓✗
D
43✓✗
Explanation
Multiplying by 27 gives 2M7. Dividing by 27 gives 7M2.
The difference = 7M2 - 2M7 = 49M - 4M14 = 45M14 = 11314 = 2714.
M = 2745 = 35.
Question 22
Eiffel tower’s 15th part is painted bronze. 14th of the remaining part is painted maroon. Rest of the Eiffel tower has golden color. If the height of this golden colored part is 450m, what is Eiffel towers’ height?
A
2250m✓✗
B
1350m✓✗
C
1000m✓✗
D
750m✓✗
Explanation
15 of the tower is bronze, so 45 remain. 14 of 45 = 15 is maroon.
The golden part = 1 - 15 - 15 = 35 of the height = 450 m.
The height of the tower = 450 × 53 = 750 m.
Question 23
What is increasing order of the fractions 67, 89, 78, 910?
A
67, 89, 78, 910✓✗
B
910, 78, 89, 67✓✗
C
67, 78, 89, 910✓✗
D
910, 89, 78, 67✓✗
Explanation
Each fraction is 1 minus its complement: 67 = 1 - 17, 78 = 1 - 18, 89 = 1 - 19 and 910 = 1 - 110.
The larger the subtracted part, the smaller the fraction, so the increasing order is 67, 78, 89, 910.
Question 24
Which rational numbers lie between 13 and 45 ?
A
2142 and 950✓✗
B
6931000 and 2230✓✗
C
16 and 56✓✗
D
12 and 14✓✗
Explanation
13 = 0.333 and 45 = 0.8.
6931000 = 0.693 and 2230 = 0.733 both lie between them. In the other options 950 = 0.18, 16 = 0.167, 56 = 0.833 and 14 = 0.25 are outside the range.
Question 25
A man had 0.08 part of his wealth invested in Stocks, 0.3 part in FDs, 0.4 part amounting to Rs. 2400 as gold and rest in cash. How much total cash and stocks does he have?
A
Rs. 1600✓✗
B
Rs. 1800✓✗
C
Rs. 2000✓✗
D
Rs. 1500✓✗
Explanation
The gold is 0.4 of his wealth and equals Rs. 2400, so his total wealth = 24000.4 = Rs. 6000.
The cash is the rest: 1 - 0.08 - 0.3 - 0.4 = 0.22 of the wealth.
Cash + stocks = (0.22 + 0.08) × 6000 = 0.30 × 6000 = Rs. 1800.
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