Percentage MCQs | Mathematics-General Ability

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High-Frequency Articles

Art. 6: High Treason
Art. 9: Security of Person
Art. 19-A: Right to Information
Art. 25-A: Free Education (5–16 yrs)

Federalism & Provinces

Art. 140-A: Local Government
Art. 153: Council of Common Interests
Art. 160: National Finance Commission
Art. 175-A: Judicial Commission (JCP)

Islamic Provisions

Art. 2: Islam as State Religion
Art. 2A: Objectives Resolution Substantive
Art. 203: Federal Shariat Court (FSC)
Art. 228: Council of Islamic Ideology

Topic Notes: Percentage

Quick Revision 2 min read 15 key points CSS, PMS, FPSC, PPSC

Section 1 of 4

Section:

1 1. Fundamental Concepts

4 points

Definition

Percentage: Derived from Latin 'per centum', meaning 'by the hundred'. It represents a number or ratio as a fraction of 100, where the denominator is always 100.
Definition

Base Value: The total quantity (the 'whole') against which a percentage is calculated. In the expression 'x% of y', 'y' is the base.
Theory

Fraction to Percentage Conversion: Multiply the fraction by 100. For example, 4/5 becomes (4/5) * 100 = 80%.
Theory

Decimal to Percentage Conversion: Move the decimal point two places to the right, or multiply by 100. For example, 0.08 becomes 8%.

2 2. Core Calculation Rules

4 points

Theory

Calculating 'x% of y': Use the formula (x/100) * y. Example: 25% of 400 = (25/100) * 400 = 100.
Theory

Finding the Percentage: To find what percent 'a' is of 'b', use the formula (a/b) * 100. Example: 20 is what percent of 50? (20/50) * 100 = 40%.
Theory

Finding the Base: If x% of a number N is Y, then N = (Y * 100) / x. Example: If 30% of N is 120, N = (120 * 100) / 30 = 400.
Theory

Percentage to Fraction: Remove the percent sign and divide by 100. Simplify the resulting fraction to its lowest terms. Example: 125% = 125/100 = 5/4.

3 3. Common Exam Traps and Comparisons

4 points

Exam Trap

Half of 1 Percent: Often mistaken for 0.5. 'Half of 1%' is 0.5%, which is 0.5/100 = 0.005 as a decimal.
Comparison

Percentage vs. Percentage Points: A change from 10% to 12% is a 2 percentage point increase, but a 20% increase in the value itself.
Exam Trap

Unit Mismatch: When calculating 'what percent of A is B', ensure both A and B are in the same units. Convert hours to minutes before dividing.
Exam Trap

Percentage Increase vs. Decrease: Calculating a 20% increase (multiply by 1.20) is fundamentally different from a 20% decrease (multiply by 0.80).

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Passage:"Archaeological findings indicate that ancient Neanderthals regularly buried their dead with flower blossoms, carved bone beads, and red ochre pigment. Such deliberate mortuary behaviors require symbolic thinking and a shared belief in an afterlife. Therefore, Neanderthals possessed sophisticated abstract cultural and cognitive capabilities comparable in key respects to early modern humans."The role of the statement 'ancient Neanderthals regularly buried their dead with flower blossoms, carved bone beads, and red ochre pigment' in the argument is to:

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

A Present the final conclusion that Neanderthals possessed abstract cognitive capabilities. B Provide empirical factual premises to support an inference regarding symbolic and cultural thinking. C Refute an established archaeological consensus regarding early human migration out of Africa. D Acknowledge an exceptional anomaly that contradicts the author's primary thesis.

During a Hajj field-office aptitude and data-verification exercise, the sequence 4, 9, 19, 39, 79, ? is formed by doubling each term and adding one. Which number replaces the question mark?

Khuddam-ul-Hujjaj/ Nazims for Hajj (OTS 2027 - Includes All NTS Past Papers) (2026)

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

A field officer is responsible for assessing whether five buses of 48, 50, 52, 44 and 46 seats, less a 10% reserve, can carry 214 pilgrims. Which conclusion is correct?

Khuddam-ul-Hujjaj/ Nazims for Hajj (OTS 2027 - Includes All NTS Past Papers) (2026)

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

A No; only the two largest buses can be counted. B Yes; total capacity is 240 and 90% of it is 216. C No; the 10% reserve reduces usable capacity below 214. D The requirement cannot be assessed without knowing fuel capacity.E. Yes; the reserve is exactly 26 seats.

During a Hajj field-office distribution exercise, a store of 1,200 water units issues 40% in the morning, 40% of the remainder in the afternoon, and then loses 54 damaged units. What percentage remains usable?

Khuddam-ul-Hujjaj/ Nazims for Hajj (OTS 2027 - Includes All NTS Past Papers) (2026)

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

A 35%, after both distributions and the damaged units. B 32%, treating the distributions as removing about 80%. C 31.5%, being 720, then 432, then 378 units. D 30%, treating the distributions as a single 80% reduction.E. 33%, counting the damage within the afternoon percentage.

A supervisory officer is reviewing four reports of 18, 24, 30 and 36 verified cases, each 6 more than the last, and must test for constant percentage growth. Why does the sequence fail?

Khuddam-ul-Hujjaj/ Nazims for Hajj (OTS 2027 - Includes All NTS Past Papers) (2026)

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

A The ratios 24/18, 30/24 and 36/30 differ, so the percentage increases are not constant. B Any increasing sequence counts as constant percentage growth after rounding. C Every term is divisible by six, which makes percentage growth impossible. D The differences are equal, which proves the percentage increases are equal.E. The last term is twice the first, proving constant percentage growth.

During the preparation and distribution of Hajj information material, an office of 2,750 cards issues 28%, transfers 16% of the remainder, and receives back 25% of the transferred quantity. How many cards remain?

Khuddam-ul-Hujjaj/ Nazims for Hajj (OTS 2027 - Includes All NTS Past Papers) (2026)

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

A 1,663.2 cards, excluding the returned quantity from the total. B 1,980 cards, treating the transfer and return as purely internal. C 1,650 cards, taking 16% of the original stock as the transferred quantity. D 1,742.4 cards, being 1,980 less 316.8 plus 79.2.E. 1,742 cards, rounding the fractional result down.

The additive inverse of zero is:

Accounts and Audit Officer (2020)

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

√8 is ________ number

Accounts and Audit Officer (2020)

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

10% written as a decimal is

Accounts and Audit Officer (2022)

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

What percent of 14 of 24.

Accounts and Audit Officer (2022)

Concept: #Percentage #Percentages,Ratio&Proportion #MathematicsGeneralAbility

Pedagogical Syllabus Blueprint

Percentage MCQs with Answers & Explanations: Preparation Strategy & Exam Blueprint

Examination Weightage & Commission Distribution

In Pakistan's premier competitive examinations—including the Federal Public Service Commission (FPSC General Recruitment & CSS MPT), Punjab Public Service Commission (PPSC Lecturer, Tehsildar & PMS Screening), KPPSC, SPSC, and BPSC—questions derived from Percentage MCQs with Answers & Explanations consistently constitute a decisive 10% to 25% weightage of the Percentages, Ratio & Proportion paper. Testing agencies frequently evaluate both foundational factual recall and deeper analytical comprehension, requiring aspirants to master key dates, statutory articles, constitutional clauses, and thematic definitions.

High-Yield Conceptual Pillars & Distractor Analysis

Historical trend analysis across past five-year examination cycles demonstrates that examiner traps frequently involve closely matched numerical alternatives, chronologically contiguous treaties, and semantic subtleties in statutory phraseology. When preparing Percentage MCQs with Answers & Explanations, candidates must deliberately review the underlying rationale provided for every question rather than merely memorizing raw answer options. Understanding why incorrect distractors fail is the most reliable predictor of achieving top percentiles in computerized and optical mark recognition (OMR) screening tests.

Negative Marking Mitigation & Time Management Protocol

For examinations enforcing negative marking penalties (such as PPSC's 0.25-mark deduction per erroneous response or NTS gatekeeper quotas), an aggressive elimination technique must be deployed. Candidates should systematically rule out improbable options first to elevate probability thresholds from 25% to 50% or 100%. Allocating an average of 45 to 60 seconds per item during mock trials builds the psychological stamina and cognitive precision required to complete 100-question papers within official 90-minute time limits.

Recommended Reference Sources & Statutory Reading

To achieve definitive conceptual mastery in Mathematics-General Ability, candidates are advised to cross-reference our solved explanations with primary gazettes, statutory texts, and canonical academic textbooks. Verifying controversial questions against authentic official repositories guarantees that prospective civil servants and professional candidates present incontestable answers during both optical paper evaluations and viva voce departmental interviews.

Percentage MCQs with Answers & Explanations

Solved Questions

High-Yield Exam Revision Cheat Sheet & Mnemonics

Topic Notes: Percentage

1 1. Fundamental Concepts

2 2. Core Calculation Rules

3 3. Common Exam Traps and Comparisons

4 4. Advanced Insights

Percentage MCQs with Answers & Explanations: Preparation Strategy & Exam Blueprint

Examination Weightage & Commission Distribution

High-Yield Conceptual Pillars & Distractor Analysis

Negative Marking Mitigation & Time Management Protocol

Recommended Reference Sources & Statutory Reading

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