Which decimal is less than 9/16?

9/16 = 0.5625; only 0.56 is smaller than this value.

Evaluate 9.36 ÷ 0.12 + 1.8 ÷ 0.03.

Clear the decimals in each quotient: 936/12 + 180/3 = 78 + 60 = 138.

Let x = 0.3(18) and y = 0.(27), where the bracketed digits repeat. Find 22(x − y).

x = (318 − 3)/990 = 7/22 and y = 27/99 = 3/11, so 22(x − y) = 22 × 1/22 = 1.

Gurleen walks 1.35 km in the morning and 0.85 km in the evening each day. How many km does she walk in 15 days?

Daily distance = 1.35 + 0.85 = 2.2 km; total = 2.2 × 15 = 33 km.

In 52.076, which digit has a place value of 0.07?

The hundredths digit is 7, and its place value is 7/100 = 0.07.

What is the difference between the largest and smallest of 0.68, 2/3, 0.675 and 27/40?

The largest is 0.68 = 17/25 and the smallest is 2/3; the difference is 17/25 − 2/3 = 1/75.

If 0.2x + 0.3y = 1.8 and 0.3x + 0.2y = 1.7, find x² − y².

Adding gives 0.5(x + y) = 3.5, so x + y = 7; subtracting gives 0.1(y − x) = 0.1, so x − y = −1. Thus x² − y² = (x + y)(x − y) = −7.

If 48.6 ÷ 0.18 = 270, find 0.486 ÷ 1.8.

The dividend becomes 1/100 as large and the divisor becomes 10 times as large; hence the quotient is 270 ÷ 1000 = 0.27.

Which recurring decimal equals 8/11? In each option, the digits in brackets repeat.

8/11 = 72/99, so its repeating block is 72 and the decimal is 0.(72).

Find x: 3.6x + 0.84 = 5.4.

3.6x = 5.4 − 0.84 = 4.56, so x = 4.56/3.6 = 19/15.

Data sufficiency: What is the marked price per kg of a batch of wheat? I. The batch costs ₹1134 after a discount of 0.1 of its marked price. II. Its mass is the amount left after 0.1 of a 35 kg stock is removed.

Both statements together are sufficient, but neither alone is sufficient.. I gives marked total = 1134/0.9 = ₹1260, while II gives mass = 35 × 0.9 = 31.5 kg. Together the marked price per kg is 1260/31.5 = ₹40; neither statement alone gives it.

A quantity is first increased by 20% and then multiplied by 0.75. What percentage of the original quantity remains?

Combined multiplier = 1.2 × 0.75 = 0.9, which is 90% of the original.

Evaluate 0.0072 ÷ 0.9.

Multiply both numbers by 10: 0.072 ÷ 9 = 0.008.

Find the sum of the place values of the two occurrences of 6 in 6.406.

The two place values are 6 and 0.006, so their sum is 6.006.

Which is the third number when 0.71, 12/17, 5/7, 0.708 and 0.715 are arranged in ascending order?

The order is 12/17 < 0.708 < 0.71 < 5/7 < 0.715, so the third number is 0.71.

Evaluate 0.04(7) + 0.00(2), where the bracketed digits repeat.

Convert to fractions: (47 − 4)/900 + 2/900 = 45/900 = 0.05.

What is the smallest positive integer n for which 0.00056 × 10^n is an integer?

There are 5 decimal places and the last digit is nonzero; 0.00056 × 10^5 = 56.

Evaluate 2.75 × 6.4 − 1.25 × 6.4.

Take 6.4 common: (2.75 − 1.25) × 6.4 = 1.5 × 6.4 = 9.6.

Two positive decimals have product 0.0675, and one is three times the other. Find their sum.

Let the numbers be x and 3x; then x² = 0.0675/3 = 0.0225, so x = 0.15. Their sum is 4 × 0.15 = 0.6.

A water tank contains 48.75 litres. After 6.25 litres are used, the rest is shared equally among 5 containers. How many litres does each container receive?

Water left = 48.75 − 6.25 = 42.5 litres; each container gets 42.5 ÷ 5 = 8.5 litres.

How many of these equalities are correct: 0.7 = 7/10; 0.07 = 7/1000; 0.007 = 7/10000; 0.0007 = 7/1000?

Only 0.7 = 7/10 is correct. The correct fractions for 0.07, 0.007 and 0.0007 are 7/100, 7/1000 and 7/10000.

If N = 0.006 × 0.0008 ÷ 0.00012, how many places must its decimal point move right to obtain 400?

N = 0.04, and 0.04 × 10000 = 400; the required shift is 4 places right.

Evaluate 14.625 − 3.875 − 2.125 − 0.625.

Group the subtractions: 3.875 + 2.125 = 6 and 14.625 − 0.625 = 14; hence 14 − 6 = 8.

If x − 1/x = 0.5, find x² + 1/x².

Squaring gives x² + 1/x² − 2 = 0.25, so the required value is 2.25.

Topic

Decimal Fractions MCQ – Part 3 - Topic Guide and MCQs

Q: How long is the Decimal Fractions MCQ – Part 3 quiz?

Decimal Fractions MCQ – Part 3 runs 25 untimed questions - about 25 min at a steady pace. The set clears at 40% and you can retake it as often as you like.

Q: What kind of questions does Decimal Fractions MCQ – Part 3 ask?

The set answers that: each question carries four options and a full explanation, so you learn the wording an examiner uses, not just the fact behind it.

Q: Where else can I practise Quantitative Aptitude?

Open the quiz page above, or start from the Quantitative Aptitude subject page if you want to drill neighbouring lanes in the same sitting.

Q: Do my scores save?

Scores, bookmarks and streaks need the optional Google sign-in. Opening the set and answering questions does not.

Part of Quantitative Aptitude > 03 Decimal Fractions - 25 questions, about 25 min, with an explanation after every answer.

Question count

about 25 min

Estimated time

Mixed

Difficulty

03 Nov 2026

Last updated

Quick answer

Decimal Fractions MCQ – Part 3 is a topic inside Quantitative Aptitude (03 Decimal Fractions). It runs 25 untimed MCQs - roughly 25 min - and the review explains every answer once you submit.

Topic introduction

What Decimal Fractions MCQ – Part 3 covers

The shape of the set before you start it.

Decimal Fractions MCQ – Part 3 sits inside Quantitative Aptitude, under the 03 Decimal Fractions lane, and the portal keeps it as one self-contained set: 25 questions, four options each, no clock and a written explanation behind every answer.

Attempt it once to find the gaps, read why each distractor is wrong, then retake the same set a few days later. The questions you miss twice are the ones worth writing down.

Curated by Gurpreet Singh · Punjab Police SI, Rank 2 (713/800) · Founder, House of Aspirants · Read his story →

Question bank

Decimal Fractions MCQ – Part 3: all 25 questions

Read the question, pick an option, then open the answer.

Which decimal is less than 9/16?
1. 0.56
2. 0.5625
3. 0.565
4. 0.57
Show answer

Answer: (A) 0.56

Explanation: 9/16 = 0.5625; only 0.56 is smaller than this value.
Evaluate 9.36 ÷ 0.12 + 1.8 ÷ 0.03.
1. 84
2. 780
3. 138
4. 13.8
Show answer

Answer: (C) 138

Explanation: Clear the decimals in each quotient: 936/12 + 180/3 = 78 + 60 = 138.
Let x = 0.3(18) and y = 0.(27), where the bracketed digits repeat. Find 22(x − y).
1. 10
2. 1
3. 2
4. 0.1
Show answer

Answer: (B) 1

Explanation: x = (318 − 3)/990 = 7/22 and y = 27/99 = 3/11, so 22(x − y) = 22 × 1/22 = 1.
Gurleen walks 1.35 km in the morning and 0.85 km in the evening each day. How many km does she walk in 15 days?
1. 30
2. 20.25
3. 3.3
4. 33
Show answer

Answer: (D) 33

Explanation: Daily distance = 1.35 + 0.85 = 2.2 km; total = 2.2 × 15 = 33 km.
In 52.076, which digit has a place value of 0.07?
1. 6
2. 5
3. 7
4. 0
Show answer

Answer: (C) 7

Explanation: The hundredths digit is 7, and its place value is 7/100 = 0.07.
What is the difference between the largest and smallest of 0.68, 2/3, 0.675 and 27/40?
1. 1/75
2. 1/150
3. 1/200
4. 1/120
Show answer

Answer: (A) 1/75

Explanation: The largest is 0.68 = 17/25 and the smallest is 2/3; the difference is 17/25 − 2/3 = 1/75.
If 0.2x + 0.3y = 1.8 and 0.3x + 0.2y = 1.7, find x² − y².
1. 7
2. −1
3. 49
4. −7
Show answer

Answer: (D) −7

Explanation: Adding gives 0.5(x + y) = 3.5, so x + y = 7; subtracting gives 0.1(y − x) = 0.1, so x − y = −1. Thus x² − y² = (x + y)(x − y) = −7.
If 48.6 ÷ 0.18 = 270, find 0.486 ÷ 1.8.
1. 27
2. 0.27
3. 0.027
4. 2.7
Show answer

Answer: (B) 0.27

Explanation: The dividend becomes 1/100 as large and the divisor becomes 10 times as large; hence the quotient is 270 ÷ 1000 = 0.27.
Which recurring decimal equals 8/11? In each option, the digits in brackets repeat.
1. 0.(81)
2. 0.(72)
3. 0.(8)
4. 0.(18)
Show answer

Answer: (B) 0.(72)

Explanation: 8/11 = 72/99, so its repeating block is 72 and the decimal is 0.(72).
Find x: 3.6x + 0.84 = 5.4.
1. 4/3
2. 17/10
3. 19/150
4. 19/15
Show answer

Answer: (D) 19/15

Explanation: 3.6x = 5.4 − 0.84 = 4.56, so x = 4.56/3.6 = 19/15.
Data sufficiency: What is the marked price per kg of a batch of wheat? I. The batch costs ₹1134 after a discount of 0.1 of its marked price. II. Its mass is the amount left after 0.1 of a 35 kg stock is removed.
1. Both statements together are sufficient, but neither alone is sufficient.
2. Statement II alone is sufficient; I alone is not.
3. Each statement alone is sufficient.
4. Statement I alone is sufficient; II alone is not.
Show answer

Answer: (A) Both statements together are sufficient, but neither alone is sufficient.

Explanation: I gives marked total = 1134/0.9 = ₹1260, while II gives mass = 35 × 0.9 = 31.5 kg. Together the marked price per kg is 1260/31.5 = ₹40; neither statement alone gives it.
A quantity is first increased by 20% and then multiplied by 0.75. What percentage of the original quantity remains?
1. 120
2. 95
3. 90
4. 80
Show answer

Answer: (C) 90

Explanation: Combined multiplier = 1.2 × 0.75 = 0.9, which is 90% of the original.
Evaluate 0.0072 ÷ 0.9.
1. 0.08
2. 0.0008
3. 0.8
4. 0.008
Show answer

Answer: (D) 0.008

Explanation: Multiply both numbers by 10: 0.072 ÷ 9 = 0.008.
Find the sum of the place values of the two occurrences of 6 in 6.406.
1. 6.6
2. 6.006
3. 0.606
4. 6.06
Show answer

Answer: (B) 6.006

Explanation: The two place values are 6 and 0.006, so their sum is 6.006.
Which is the third number when 0.71, 12/17, 5/7, 0.708 and 0.715 are arranged in ascending order?
1. 12/17
2. 0.708
3. 0.71
4. 5/7
Show answer

Answer: (C) 0.71

Explanation: The order is 12/17 < 0.708 < 0.71 < 5/7 < 0.715, so the third number is 0.71.
Evaluate 0.04(7) + 0.00(2), where the bracketed digits repeat.
1. 0.05
2. 0.049
3. 0.045
4. 0.005
Show answer

Answer: (A) 0.05

Explanation: Convert to fractions: (47 − 4)/900 + 2/900 = 45/900 = 0.05.
What is the smallest positive integer n for which 0.00056 × 10^n is an integer?
1. 5
2. 3
3. 6
4. 4
Show answer

Answer: (A) 5

Explanation: There are 5 decimal places and the last digit is nonzero; 0.00056 × 10^5 = 56.
Evaluate 2.75 × 6.4 − 1.25 × 6.4.
1. 0.96
2. 25.6
3. 9.6
4. 1.5
Show answer

Answer: (C) 9.6

Explanation: Take 6.4 common: (2.75 − 1.25) × 6.4 = 1.5 × 6.4 = 9.6.
Two positive decimals have product 0.0675, and one is three times the other. Find their sum.
1. 0.3
2. 0.6
3. 0.45
4. 0.9
Show answer

Answer: (B) 0.6

Explanation: Let the numbers be x and 3x; then x² = 0.0675/3 = 0.0225, so x = 0.15. Their sum is 4 × 0.15 = 0.6.
A water tank contains 48.75 litres. After 6.25 litres are used, the rest is shared equally among 5 containers. How many litres does each container receive?
1. 11
2. 7.5
3. 9.75
4. 8.5
Show answer

Answer: (D) 8.5

Explanation: Water left = 48.75 − 6.25 = 42.5 litres; each container gets 42.5 ÷ 5 = 8.5 litres.
Which percentage is equal to 7/20?
1. 70
2. 3.5
3. 35
4. 28
Show answer

Answer: (C) 35

Explanation: 7/20 × 100 = 35%.
How many of these equalities are correct: 0.7 = 7/10; 0.07 = 7/1000; 0.007 = 7/10000; 0.0007 = 7/1000?
1. 1
2. 0
3. 2
4. 3
Show answer

Answer: (A) 1

Explanation: Only 0.7 = 7/10 is correct. The correct fractions for 0.07, 0.007 and 0.0007 are 7/100, 7/1000 and 7/10000.
If N = 0.006 × 0.0008 ÷ 0.00012, how many places must its decimal point move right to obtain 400?
1. 5
2. 2
3. 3
4. 4
Show answer

Answer: (D) 4

Explanation: N = 0.04, and 0.04 × 10000 = 400; the required shift is 4 places right.
Evaluate 14.625 − 3.875 − 2.125 − 0.625.
1. 7.375
2. 8
3. 8.625
4. 9.25
Show answer

Answer: (B) 8

Explanation: Group the subtractions: 3.875 + 2.125 = 6 and 14.625 − 0.625 = 14; hence 14 − 6 = 8.
If x − 1/x = 0.5, find x² + 1/x².
1. 0.25
2. 1.25
3. 2.25
4. 2.5
Show answer

Answer: (C) 2.25

Explanation: Squaring gives x² + 1/x² − 2 = 0.25, so the required value is 2.25.

Why it matters

Why Decimal Fractions MCQ – Part 3 is worth the hours

Where the marks actually come from.

Decimal Fractions MCQ – Part 3 is factual rather than analytical: you either recall it in seconds or you lose the mark to somebody who did. That makes it one of the cheapest sections to convert - a handful of short sittings usually settles the whole cluster.

Exam relevance

Exams where Decimal Fractions MCQ – Part 3 matters

Derived from the subject and lane this topic belongs to.

Punjab Police Constable

The highest-volume recruitment on this list. Build your base with Punjab GK and current affairs, then drill reasoning until speed is automatic.

Punjab Police ASI

Assistant Sub-Inspector papers separate candidates on English and Punjabi accuracy as much as on general awareness. Practise language daily.

Punjab Police Sub-Inspector (SI)

The most competitive paper here. Polity, history and quant reasoning decide the rank - so take full timed mocks before the exam.

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Data handling, mental ability and computer awareness carry most of the weight. Use short topic sets and check every explanation.

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A tighter syllabus: general awareness, Punjabi and basic reasoning. Perfect for a daily quiz habit - short sessions, high consistency.

Patwari

Revenue work starts with Punjab geography, history and current affairs. Add quant for the sections that reward calculation speed.

Excise Inspector

General awareness and English carry this paper. Track Punjab policy news daily and revise it as MCQs, not as notes.

Naib Tehsildar

Land records, Punjab history and polity, plus data interpretation. A strong polity base is the fastest score to build.

Clerk

Grammar, comprehension, typing and basic computer knowledge. Accuracy beats speed here - review every wrong answer.

PSPCL jobs

Recruitment by the Punjab State Power Corporation Limited. Technical aptitude sits alongside general awareness and reasoning.

Punjab Police Head Constable

The communication and clerical tier of Punjab Police. Punjabi, English and general knowledge carry the paper, and computer awareness is worth real marks.

Staff Selection Commission

The central recruitment ladder most aspirants attempt alongside a state paper. Arithmetic, reasoning and English decide the score; general awareness decides the cutoff.

Railway Recruitment

A high-volume, high-speed paper. Arithmetic, reasoning and general awareness asked at a pace that punishes anyone still working out method during the attempt.

Banking Exams

Quantitative aptitude and reasoning at speed, with a separate English section and a general awareness paper that moves with the financial news cycle.

Expected questions

Expected questions from Decimal Fractions MCQ – Part 3

What an examiner usually reaches for in this cluster.

Expect one-line recall questions - definitions, stand-for expansions, identifiers and the ordering of things. Practise the wording as well as the concept: these papers test terminology, and the set above uses the same four-option shape they do.

Daily habit

Keep the Expected MCQs habit running

20 fresh mixed questions a day, plus the current-affairs sets examiners keep reusing.

Daily Quiz Expected MCQs

Previous year questions

Previous Year Questions

How this topic behaves in real papers.

Past papers reuse clusters like this almost verbatim across years and posts. Run the same set until every distractor is familiar - previous-year style questions stop being recall and start being free marks.

Where the previous-year sets live

The portal's previous-year practice runs through the General Knowledge lane and the daily mixed quiz.

Previous Year Questions Daily Quiz

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Take the Decimal Fractions MCQ – Part 3 quiz

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Decimal Fractions MCQ – Part 3 - common questions

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