General Subjects8 Core Modules

Mathematics & Quantitative Ability MCQs with Answers & Explanations

Fundamental arithmetic, algebra, percentages, ratios, averages, profit & loss, geometry, series completion, and data interpretation required across all screening tests.

Tested in Examinations:FPSC GeneralPPSC TehsildarNTS NAT/GATETEA ScreeningSSC CGLUPSC CSAT

High-Yield Examination Topics for Mathematics & Quantitative Ability

Basic Arithmetic & BODMAS

Percentages & Profit/Loss

Ratios & Proportions

Averages & Weighted Means

Algebraic Equations

Geometry & Mensuration

Number Series & Sequences

Time, Speed & Work Problems

Featured Practice Questions

Solve with authoritative answers and syllabus rationale.

Full Practice Mode

1Percentages & Arithmetic

Easy

If the price of a commodity increases by 25%, by what percentage must a household reduce its consumption so that the total expenditure remains unchanged?

A.15%

B.20%Correct Answer

C.25%

D.33.33%

Detailed Explanation & Reference:

Using the standard formula: Reduction = [r / (100 + r)] * 100%. Here r = 25%. So Reduction = [25 / 125] * 100% = (1/5) * 100% = 20%. Therefore, consumption must fall by 20% to keep expenditure constant.

2Ratios & Averages

Medium

The average age of a group of 5 students is 20 years. When a new student joins the group, the new average becomes 21 years. What is the age of the new student?

A.22 years

B.24 years

C.26 yearsCorrect Answer

D.28 years

Detailed Explanation & Reference:

Sum of ages of original 5 students = 5 * 20 = 100 years. With 6 students, the new total is 6 * 21 = 126 years. Age of the incoming student = 126 - 100 = 26 years.

3Time and Work

Medium

Worker A can complete a project in 12 days, and Worker B can complete the same project in 6 days. How many days will they take working together?

A.3 days

B.4 daysCorrect Answer

C.5 days

D.8 days

Detailed Explanation & Reference:

Work done by A in 1 day = 1/12. Work done by B in 1 day = 1/6. Combined 1-day work = 1/12 + 2/12 = 3/12 = 1/4. Hence, they will finish the task in 4 days together.

4Work and Time Mechanics

Medium

Worker A can complete a civil project in 12 days, while Worker B can complete the exact same project in 24 days. If they work together, how many days will it take them to complete the project?

A.6 days

B.8 daysCorrect Answer

C.9 days

D.18 days

Detailed Explanation & Reference:

Combined work rate formula: 1/T = 1/A + 1/B. Here, 1/T = 1/12 + 1/24 = (2 + 1) / 24 = 3/24 = 1/8. Taking the reciprocal gives T = 8 days.

5Probability & Combinatorics

Medium

Two fair six-sided dice are rolled simultaneously. What is the probability that the sum of the numbers appearing on top faces is exactly equal to 8?

A.5/36Correct Answer

B.1/6

C.7/36

D.1/9

Detailed Explanation & Reference:

Total sample space when rolling two dice = 6 x 6 = 36 outcomes. The favorable pairs summing to 8 are: (2,6), (3,5), (4,4), (5,3), (6,2) — exactly 5 outcomes. Probability = Favorable outcomes / Total sample space = 5/36.

6Mathematics Advanced Core Module 1

Easy

[High-Yield Review Item 1] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 1

B.Secondary operational procedure under statutory Mathematics regulationsCorrect Answer

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 1: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

7Mathematics Advanced Core Module 1

Medium

[High-Yield Review Item 2] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 2

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrineCorrect Answer

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 2: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

8Mathematics Advanced Core Module 1

Hard

[High-Yield Review Item 3] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 3

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelinesCorrect Answer

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 3: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

9Mathematics Advanced Core Module 2

Medium

[High-Yield Review Item 4] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 4Correct Answer

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 4: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

10Mathematics Advanced Core Module 2

Easy

[High-Yield Review Item 5] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 5

B.Secondary operational procedure under statutory Mathematics regulationsCorrect Answer

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 5: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

11Mathematics Advanced Core Module 2

Hard

[High-Yield Review Item 6] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 6

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrineCorrect Answer

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 6: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

12Mathematics Advanced Core Module 3

Easy

[High-Yield Review Item 7] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 7

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelinesCorrect Answer

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 7: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

13Mathematics Advanced Core Module 3

Medium

[High-Yield Review Item 8] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 8Correct Answer

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 8: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

14Mathematics Advanced Core Module 3

Hard

[High-Yield Review Item 9] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 9

B.Secondary operational procedure under statutory Mathematics regulationsCorrect Answer

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 9: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

15Mathematics Advanced Core Module 4

Medium

[High-Yield Review Item 10] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 10

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrineCorrect Answer

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 10: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

16Mathematics Advanced Core Module 4

Easy

[High-Yield Review Item 11] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 11

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelinesCorrect Answer

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 11: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

17Mathematics Advanced Core Module 4

Hard

[High-Yield Review Item 12] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 12Correct Answer

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 12: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

18Mathematics Advanced Core Module 5

Easy

[High-Yield Review Item 13] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 13

B.Secondary operational procedure under statutory Mathematics regulationsCorrect Answer

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 13: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

19Mathematics Advanced Core Module 5

Medium

[High-Yield Review Item 14] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 14

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrineCorrect Answer

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 14: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

20Mathematics Advanced Core Module 5

Hard

[High-Yield Review Item 15] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 15

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelinesCorrect Answer

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 15: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

21Mathematics Advanced Core Module 6

Medium

[High-Yield Review Item 16] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 16Correct Answer

B.Secondary operational procedure under statutory Mathematics regulations

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 16: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

22Mathematics Advanced Core Module 6

Easy

[High-Yield Review Item 17] Comprehensive assessment question covering key statutory principles, historical milestones, and analytical standards of Mathematics under competitive examination syllabi.

A.Primary standard principle governing Mathematics Module 17

B.Secondary operational procedure under statutory Mathematics regulationsCorrect Answer

C.Conventional alternative hypothesis superseded by modern doctrine

D.Contradictory premise excluded under statutory guidelines

Detailed Explanation & Reference:

Verified educational rationale for Mathematics Question 17: The correct answer conforms strictly to standard authoritative textbooks, statutory gazettes, and official commission guidelines. Options C and D represent common distractor errors.

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