What is the place value of 8 in 14.3086?

The digit 8 is in the thousandths place, so its value is 8/1000 = 0.008.

Find x: 18.75 − 4.625 + x = 20.5.

x = 20.5 − 18.75 + 4.625 = 6.375.

If x = 0.2(45), where 45 repeats, find 330x.

x = (245 − 2)/990 = 27/110, so 330x = 81.

Which is the second largest of 0.72, 5/7, 0.725 and 29/41?

29/41 < 5/7 < 0.72 < 0.725, so the second largest is 0.72.

What is 0.0476 × 1000?

Multiplying by 1000 shifts the decimal point 3 places right: 0.0476 × 1000 = 47.6.

Evaluate 7.2 ÷ 0.09 − 2.5 × 12.

7.2 ÷ 0.09 = 80 and 2.5 × 12 = 30, so the result is 50.

Evaluate (3.84² − 1.16²) ÷ 0.268.

Use the difference of squares: (3.84 + 1.16)(3.84 − 1.16) ÷ 0.268 = 5 × 2.68 ÷ 0.268 = 50.

A shop in Ludhiana has 18.9 kg of rice. It packs all of it into packets of 0.45 kg each. How many packets are made?

Number of packets = 18.9 ÷ 0.45 = 1890 ÷ 45 = 42.

Express 0.0625 as a percentage.

Percentage = 0.0625 × 100 = 6.25%.

When 0.0875 is reduced to its lowest fractional form, what is the sum of its numerator and denominator?

0.0875 = 875/10000 = 7/80, so the required sum is 7 + 80 = 87.

Which fraction is closest to 0.65?

The gap between 15/23 and 0.65 is 1/460; the gaps for 13/21, 17/25 and 11/17 are 13/420, 3/100 and 1/340. The smallest gap is 1/460.

Evaluate 0.48 × 2.5 + 0.84 ÷ 0.7.

0.48 × 2.5 = 1.2 and 0.84 ÷ 0.7 = 1.2, so their sum is 2.4.

Which power of 10 must multiply 0.000384 to give 38.4?

The decimal point moves 5 places right, so the multiplier is 10^5.

For a = 0.72 and b = 0.28, evaluate (a³ + b³) ÷ (a² − ab + b²) + ab.

The quotient is a + b = 1, so the result is 1 + 0.72 × 0.28 = 1.2016.

Which number lies strictly between 0.58 and 7/12?

7/12 = 0.58333 recurring, so 0.58 < 0.582 < 7/12.

Find x: 0.036 ÷ x = 1.2 ÷ 0.5.

The right side is 2.4, so x = 0.036 ÷ 2.4 = 0.015.

Harpreet buys 2.4 kg of almonds at ₹375.50 per kg and 1.6 kg of raisins at ₹124.50 per kg. How much change does he receive from ₹1200?

Cost = 2.4 × 375.50 + 1.6 × 124.50 = 1100.4, so change = 1200 − 1100.4 = ₹99.6.

If x = 0.1(6) and y = 0.(18), where the bracketed digits repeat, find x ÷ y.

x = 1/6 and y = 18/99 = 2/11, so x ÷ y = 1/6 × 11/2 = 11/12.

Which is the greatest of the following numbers?

4/5 = 0.8; comparing decimal places gives 0.807 as the greatest.

Evaluate 6.4 − [2.8 − {0.72 ÷ (1.1 − 0.5)}].

Work inward: 1.1 − 0.5 = 0.6 and 0.72 ÷ 0.6 = 1.2; hence 6.4 − (2.8 − 1.2) = 4.8.

To the nearest whole number, estimate 119.8 × 0.503 ÷ 0.199.

Use 120 × 0.5 ÷ 0.2 = 300 as a starting estimate; the actual quotient is about 302.811, which rounds to 303.

A positive number is multiplied by 0.8 and then by 1.25. What is the overall multiplier?

Overall multiplier = 0.8 × 1.25 = 4/5 × 5/4 = 1.

If a + b = 1.5 and ab = 0.44, find a³ + b³.

a³ + b³ = (a + b)³ − 3ab(a + b) = 1.5³ − 3 × 0.44 × 1.5 = 1.395.

Topic

Decimal Fractions MCQ – Part 1 - Topic Guide and MCQs

Q: How long is the Decimal Fractions MCQ – Part 1 quiz?

Decimal Fractions MCQ – Part 1 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 1 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 1 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 1 covers

The shape of the set before you start it.

Decimal Fractions MCQ – Part 1 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 1: all 25 questions

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

What is the place value of 8 in 14.3086?
1. 0.0008
2. 8
3. 0.008
4. 0.08
Show answer

Answer: (C) 0.008

Explanation: The digit 8 is in the thousandths place, so its value is 8/1000 = 0.008.
Find x: 18.75 − 4.625 + x = 20.5.
1. 6.375
2. 10.375
3. 1.75
4. 5.375
Show answer

Answer: (A) 6.375

Explanation: x = 20.5 − 18.75 + 4.625 = 6.375.
If x = 0.2(45), where 45 repeats, find 330x.
1. 80
2. 75
3. 245
4. 81
Show answer

Answer: (D) 81

Explanation: x = (245 − 2)/990 = 27/110, so 330x = 81.
Which is the second largest of 0.72, 5/7, 0.725 and 29/41?
1. 0.725
2. 0.72
3. 29/41
4. 5/7
Show answer

Answer: (B) 0.72

Explanation: 29/41 < 5/7 < 0.72 < 0.725, so the second largest is 0.72.
What is 0.0476 × 1000?
1. 47.6
2. 0.476
3. 4.76
4. 476
Show answer

Answer: (A) 47.6

Explanation: Multiplying by 1000 shifts the decimal point 3 places right: 0.0476 × 1000 = 47.6.
Evaluate 7.2 ÷ 0.09 − 2.5 × 12.
1. 770
2. 77.5
3. 50
4. 20
Show answer

Answer: (C) 50

Explanation: 7.2 ÷ 0.09 = 80 and 2.5 × 12 = 30, so the result is 50.
Evaluate (3.84² − 1.16²) ÷ 0.268.
1. 5
2. 50
3. 25
4. 10
Show answer

Answer: (B) 50

Explanation: Use the difference of squares: (3.84 + 1.16)(3.84 − 1.16) ÷ 0.268 = 5 × 2.68 ÷ 0.268 = 50.
A shop in Ludhiana has 18.9 kg of rice. It packs all of it into packets of 0.45 kg each. How many packets are made?
1. 84
2. 4.2
3. 45
4. 42
Show answer

Answer: (D) 42

Explanation: Number of packets = 18.9 ÷ 0.45 = 1890 ÷ 45 = 42.
Express 0.0625 as a percentage.
1. 0.625
2. 62.5
3. 0.0625
4. 6.25
Show answer

Answer: (D) 6.25

Explanation: Percentage = 0.0625 × 100 = 6.25%.
When 0.0875 is reduced to its lowest fractional form, what is the sum of its numerator and denominator?
1. 47
2. 87
3. 79
4. 807
Show answer

Answer: (B) 87

Explanation: 0.0875 = 875/10000 = 7/80, so the required sum is 7 + 80 = 87.
Which fraction is closest to 0.65?
1. 11/17
2. 13/21
3. 15/23
4. 17/25
Show answer

Answer: (C) 15/23

Explanation: The gap between 15/23 and 0.65 is 1/460; the gaps for 13/21, 17/25 and 11/17 are 13/420, 3/100 and 1/340. The smallest gap is 1/460.
Evaluate 0.48 × 2.5 + 0.84 ÷ 0.7.
1. 2.4
2. 1.32
3. 0.24
4. 3.3
Show answer

Answer: (A) 2.4

Explanation: 0.48 × 2.5 = 1.2 and 0.84 ÷ 0.7 = 1.2, so their sum is 2.4.
Write 0.(63), where 63 repeats, as a fraction in lowest terms.
1. 21/11
2. 7/11
3. 7/9
4. 63/100
Show answer

Answer: (B) 7/11

Explanation: 0.(63) = 63/99 = 7/11.
Which power of 10 must multiply 0.000384 to give 38.4?
1. 10^3
2. 10^4
3. 10^6
4. 10^5
Show answer

Answer: (D) 10^5

Explanation: The decimal point moves 5 places right, so the multiplier is 10^5.
For a = 0.72 and b = 0.28, evaluate (a³ + b³) ÷ (a² − ab + b²) + ab.
1. 1.2016
2. 0.7984
3. 1.4032
4. 0.6416
Show answer

Answer: (A) 1.2016

Explanation: The quotient is a + b = 1, so the result is 1 + 0.72 × 0.28 = 1.2016.
Which number lies strictly between 0.58 and 7/12?
1. 0.58
2. 0.59
3. 0.582
4. 0.584
Show answer

Answer: (C) 0.582

Explanation: 7/12 = 0.58333 recurring, so 0.58 < 0.582 < 7/12.
Which fraction is equal to 0.0032?
1. 1/3125
2. 2/125
3. 2/625
4. 4/125
Show answer

Answer: (C) 2/625

Explanation: 0.0032 = 32/10000 = 2/625.
Find x: 0.036 ÷ x = 1.2 ÷ 0.5.
1. 0.015
2. 0.15
3. 0.0864
4. 0.0015
Show answer

Answer: (A) 0.015

Explanation: The right side is 2.4, so x = 0.036 ÷ 2.4 = 0.015.
Harpreet buys 2.4 kg of almonds at ₹375.50 per kg and 1.6 kg of raisins at ₹124.50 per kg. How much change does he receive from ₹1200?
1. 101.6
2. 199.6
3. 100.4
4. 99.6
Show answer

Answer: (D) 99.6

Explanation: Cost = 2.4 × 375.50 + 1.6 × 124.50 = 1100.4, so change = 1200 − 1100.4 = ₹99.6.
If x = 0.1(6) and y = 0.(18), where the bracketed digits repeat, find x ÷ y.
1. 11/6
2. 11/12
3. 12/11
4. 1/12
Show answer

Answer: (B) 11/12

Explanation: x = 1/6 and y = 18/99 = 2/11, so x ÷ y = 1/6 × 11/2 = 11/12.
Which is the greatest of the following numbers?
1. 0.807
2. 4/5
3. 0.8007
4. 0.0787
Show answer

Answer: (A) 0.807

Explanation: 4/5 = 0.8; comparing decimal places gives 0.807 as the greatest.
Evaluate 6.4 − [2.8 − {0.72 ÷ (1.1 − 0.5)}].
1. 3.6
2. 6
3. 4.8
4. 2.4
Show answer

Answer: (C) 4.8

Explanation: Work inward: 1.1 − 0.5 = 0.6 and 0.72 ÷ 0.6 = 1.2; hence 6.4 − (2.8 − 1.2) = 4.8.
To the nearest whole number, estimate 119.8 × 0.503 ÷ 0.199.
1. 3
2. 303
3. 30
4. 3000
Show answer

Answer: (B) 303

Explanation: Use 120 × 0.5 ÷ 0.2 = 300 as a starting estimate; the actual quotient is about 302.811, which rounds to 303.
A positive number is multiplied by 0.8 and then by 1.25. What is the overall multiplier?
1. 1.05
2. 2.05
3. 0.1
4. 1
Show answer

Answer: (D) 1

Explanation: Overall multiplier = 0.8 × 1.25 = 4/5 × 5/4 = 1.
If a + b = 1.5 and ab = 0.44, find a³ + b³.
1. 1.395
2. 2.715
3. 5.355
4. 3.375
Show answer

Answer: (A) 1.395

Explanation: a³ + b³ = (a + b)³ − 3ab(a + b) = 1.5³ − 3 × 0.44 × 1.5 = 1.395.

Why it matters

Why Decimal Fractions MCQ – Part 1 is worth the hours

Where the marks actually come from.

Decimal Fractions MCQ – Part 1 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 1 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.

Punjab Police Intelligence Assistant

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

Punjab Police Jail Warder

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 1

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 1 quiz

25 questions, about 25 min, instant scoring and a full review at the end.

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Questions

Decimal Fractions MCQ – Part 1 - common questions

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