Q 1 Mathematics Fractions
1/3 × 3/2 ÷ 1/2:
View answer & explanation Ans: 1
Correct Answer: 1
The correct answer is 1, as asked in this question on Fractions.
From: Assistant Past Paper 2026 Solved (2026) · PPSC
Topic MCQs · Mathematics
Fractions MCQs
62 MCQs on Fractions sit in the GK360 bank, collected from 46 solved papers (2002–2026). Below are the top 59 distinct questions — repeats across papers merged into their strongest version — with the correct answer marked, an explanation where the bank carries one, and the source paper named on every card.
Q 2 Mathematics Fractions
Solve: 2/3 + 3/4 =
View answer & explanation Ans: 17/12
Correct Answer: 17/12
2/3 + 3/4 = (2x4)/(3x4) + (3x3)/(4x3) = 8/12 + 9/12 = 17/12.
From: Assistant/Office Assistant Past Paper 2026 Solved (2026) · PPSC
Q 3 Mathematics Fractions
⅔ of 90 =
View answer & explanation Ans: 60
Correct Answer: 60
⅔ × 90 = 60.
From: CSS MPT 2026 Full Mock Test — Solved MCQs with Answers (2026) · CSS
Q 4 Mathematics Fractions
Which is greater: ⅔ or ¾?
View answer & explanation Ans: ¾
Correct Answer: ¾
⅔ ≈ 0.667 and ¾ = 0.75, so ¾ is greater.
From: CSS MPT 2026 Full Mock Test — Solved MCQs with Answers (2026) · CSS
Q 5 Mathematics Fractions
The fraction 5/8 with a denominator 40 is:
View answer & explanation Ans: 25/40
Correct Answer: 25/40
To get denominator 40, multiply 8 by 5, so multiply numerator and denominator by 5: 5/8 = 25/40.
From: ESE PTI Past Paper 2026 Solved (2026) · PPSC
Q 6 Mathematics Fractions
What is the simplified value of 39/26?
View answer & explanation Ans: 3/2
Correct Answer: 3/2
Dividing both 39 and 26 by their greatest common divisor (13) results in 3/2.
From: PPSC Zilladar BS-16 Past Paper 2025 Solved - Irrigation Department (2025) · PPSC
Q 7 Mathematics Fractions
What is the result of 2/3 x 3/4 x 4/5?
View answer & explanation Ans: 2/5
Correct Answer: 2/5
Cross-canceling the 3s and 4s leaves 2/5.
From: PPSC Assistant (BS-16) S&GAD Past Paper 2024 Solved (2024) · PPSC
Q 8 Mathematics Fractions
If 7/21 of a number is 6, what is 14/21 of that number?
View answer & explanation Ans: 12
Correct Answer: 12
Because 14/21 is exactly double the fraction 7/21, you simply multiply the initial result (6) by 2 to get 12.
From: PPSC Tehsildar & Consolidation Officer Board of Revenue Past Paper 2024 Solved (2024) · PPSC
Q 9 Mathematics Fractions
If 1/4 writing, 1/6 reading and 1/8 designing are participated in different contests and 33 participants of mathematics, then total number of participants are:
View answer & explanation Ans: 72
Correct Answer: 72
Let total be x. x/4 + x/6 + x/8 + 33 = x. Multiplying by 24 gives 6x + 4x + 3x + 792 = 24x => 11x = 792 => x = 72.
From: PPSC Assistant Director Intelligence (Special Branch) Past Paper 2023 Solved (2023) · PPSC
Q 10 Mathematics Fractions
Which of the following fractions is greater than 3/4 and less than 5/6?
View answer & explanation Ans: 4/5
Correct Answer: 4/5
Decimal conversions show 3/4 is 0.75 and 5/6 is ~0.833. The fraction 4/5 equals 0.8, which mathematically sits right between them.
From: PPSC Assistant Director Labour Welfare Past Paper 2023 Solved (2023) · PPSC
Q 11 Mathematics Fractions
3.275 is equal to:
View answer & explanation Ans: 3 11/40
Correct Answer: 3 11/40
3.275 as a fraction is 3275/1000. Simplifying it by dividing the numerator and denominator by 25 gives 131/40, which is exactly 3 11/40.
From: PPSC Food Grains Inspector (BS-12) Past Paper 2023 Solved (2023) · PPSC
Q 12 Mathematics Fractions
1/2, 2/3, 3/4 and 4/5 as like fractions are:
View answer & explanation Ans: 30/60, 40/60, 45/60 and 48/60
Correct Answer: 30/60, 40/60, 45/60 and 48/60
The LCM of denominators 2, 3, 4, 5 is 60. Converting them to have a denominator of 60 yields 30/60, 40/60, 45/60, and 48/60.
From: PPSC Junior Clerk (BS-11) Board of Revenue Past Paper 2023 Solved (2023) · PPSC
Q 13 Mathematics Fractions
What is 9/11 - 5/7?
View answer & explanation Ans: 8/77
Correct Answer: 8/77
Find a common denominator of 77. (9*7)/77 - (5*11)/77 = 63/77 - 55/77 = 8/77.
From: PPSC Junior Clerk (BS-11) Board of Revenue Past Paper 2023 Solved (2023) · PPSC
Q 14 Mathematics Fractions
If we multiply a fraction by itself and divide the product by its reciprocal, the fraction thus obtained is 18 26/27. What is the original fraction?
View answer & explanation Ans: 2 2/3
Correct Answer: 2 2/3
Let fraction be x. Equation: (x * x) / (1/x) = x^3. Since 18 26/27 = 512/27, we take the cube root of 512/27, which equals 8/3 or 2 2/3.
From: PPSC Assistant Director (BS-17) Labour & Human Resource (PESSI) Past Paper 2022 Solved (2022) · PPSC
Q 15 Mathematics Fractions
In a class, one-fourth opted to learn German; four-fifths of the remaining students Italian. Two-thirds of the remaining students decided to learn French and the rest Japanese. 12 people decided to learn Japanese. How many of them opted for Italian?
View answer & explanation Ans: 144
Correct Answer: 144
Let total = X. German = 0.25X. Remaining = 0.75X. Italian = (4/5)*0.75X = 0.6X. Remaining = 0.15X. French = (2/3)*0.15X = 0.1X. Japanese = 0.05X = 12. So, X = 240. Italian = 0.6 * 240 = 144.
From: PPSC Assistant Director Admin (Home Department) Past Paper 2022 Solved (2022) · PPSC
Q 16 Mathematics Fractions
What is the result of 9/11 + 5/7?
View answer & explanation Ans: 118/77
Correct Answer: 118/77
Using a common denominator of 77: (9*7)/77 + (5*11)/77 = 63/77 + 55/77 = 118/77.
From: PPSC Junior Clerk Punjab Police Past Paper 2022 Solved (2022) · PPSC
Q 17 Mathematics Fractions
What would be the reciprocal of the sum of reciprocals of 2 and 3?
View answer & explanation Ans: None of these
Correct Answer: None of these
The sum of reciprocals is (1/2 + 1/3) = 5/6. The reciprocal of this sum is 6/5, which is 1.2. None of the listed options match.
From: PPSC Manager Auqaf (BS-16) Past Paper 2022 Solved (2022) · PPSC
Q 18 Mathematics Fractions
Solve the equation: -8/20 - (+9/2) - 1/2 = ?
View answer & explanation Ans: -27/5
Correct Answer: -27/5
Converting to common denominators: -4/10 - 45/10 - 5/10 = -54/10, which simplifies exactly to -27/5.
From: PPSC PMS S&GAD Combined Competitive Examination Past Paper 2022 Solved (2022) · PMS
Q 19 Mathematics Fractions
List the fractions 2/3, 5/8 and 13/20 in ascending order:
View answer & explanation Ans: 5/8, 13/20, 2/3
Correct Answer: 5/8, 13/20, 2/3
Converting to decimals: 5/8 = 0.625, 13/20 = 0.65, 2/3 = 0.666. Ascending order is 5/8, 13/20, 2/3.
From: PPSC Assistant Sub Inspector (Punjab Police) Past Paper 2021 Solved (2021) · PPSC
Q 20 Mathematics Fractions
If 100 kg of meat is divided into packages of 4/7 kg each, the total number of packages will be:
View answer & explanation Ans: 175
Correct Answer: 175
Total packages = 100 / (4/7) = 100 * (7/4) = 25 * 7 = 175.
From: PPSC Assistant Sub Inspector (Punjab Police) Past Paper 2021 Solved (2021) · PPSC
Q 21 Mathematics Fractions
Express the recurring decimal 0.125125... as a rational number.
View answer & explanation Ans: 125/999
Correct Answer: 125/999
For a recurring decimal of three digits, divide the repeating part by 999. Thus, 0.125125... = 125/999.
From: PPSC Junior Clerk (BS-11) Board of Revenue Past Paper 2021 Solved (2021) · PPSC
Q 22 Mathematics Fractions
A man walked for 1/3 of an hour and then took an automobile ride for 1/2 of an hour. What fraction of the total time did he spend riding in the automobile?
View answer & explanation Ans: 3/5
Correct Answer: 3/5
Total time = 1/3 + 1/2 = 5/6. Ratio of auto time to total = (1/2) / (5/6) = (1/2) * (6/5) = 3/5.
From: PPSC Junior Clerk (BS-11) Board of Revenue Past Paper 2021 Solved (2021) · PPSC
Q 23 Mathematics Fractions
0.05 is equal to which of the following fractions?
View answer & explanation Ans: 1/20
Correct Answer: 1/20
0.05 can be written as 5/100. Simplifying the fraction by dividing numerator and denominator by 5 yields 1/20.
From: PPSC Assistant (BS-16) Labour & Human Resource Department Past Paper 2020 (2020) · PPSC
Q 24 Mathematics Fractions
1/3 + 1/3 =
View answer & explanation Ans: 2/3
Correct Answer: 2/3
Since the denominators are identical, simply add the numerators: 1 + 1 = 2, yielding 2/3.
From: PPSC Assistant (BS-16) PLRA Past Paper 2020 Solved (2020) · PPSC
Q 25 Mathematics Fractions
Solve: 1/10 × 3/5 × 6/5 = ?
View answer & explanation Ans: 9/125
Correct Answer: 9/125
Multiply the numerators: 1 × 3 × 6 = 18. Multiply denominators: 10 × 5 × 5 = 250. 18/250 simplifies to 9/125 by dividing by 2.
From: PPSC Assistant Anti-Corruption Establishment Past Paper 2020 Solved (2020) · PPSC
Q 26 Mathematics Fractions
7 56/100 in decimal form is:
View answer & explanation Ans: 7.56
Correct Answer: 7.56
The fraction 56/100 equals 0.56. Adding the whole number 7 yields the decimal 7.56.
From: PPSC Data Entry Operator Punjab Police Past Paper 2020 Solved (2020) · PPSC
Q 27 Mathematics Fractions
What fraction of a cake remains when 3/8 of the cake has been eaten?
View answer & explanation Ans: 5/8
Correct Answer: 5/8
A whole cake is 8/8. If 3/8 is eaten, the remaining amount is 8/8 - 3/8 = 5/8.
From: PPSC Data Entry Operator Punjab Police Past Paper 2020 Solved (2020) · PPSC
Q 28 Mathematics Fractions
Which of the following fractions has smallest value?
View answer & explanation Ans: 1/8
Correct Answer: 1/8
Converting to decimals: 1/8 = 0.125, 1/7 = 0.142, 2/9 = 0.222, 5/11 = 0.454. The smallest is 1/8.
From: PPSC Manager Auqaf Past Paper 2020 Solved (2020) · PPSC
Q 29 Mathematics Fractions
0.232323... is also written in the fractional form of:
View answer & explanation Ans: 23/99
Correct Answer: 23/99
Let x = 0.232323. Multiplying by 100 gives 100x = 23.232323. Subtracting x yields 99x = 23, so x = 23/99.
From: PPSC Zakat & Ushr Department Assistant (BS-16) Past Paper 2020 Solved (2020) · PPSC
Q 30 Mathematics Fractions
After spending 4/9 of her money, a girl has 25 rupees left. How much did she spend?
View answer & explanation Ans: 20
Correct Answer: 20
Remaining fraction is 1 - 4/9 = 5/9. So, (5/9) * Total = 25, meaning Total = 45. The spent amount is (4/9) * 45 = 20.
From: PPSC Assistant (BS-16) Labour & Human Resource Department Past Paper 2019 (Paper 2) Solved (2019) · PPSC
Q 31 Mathematics Fractions
What is (5/6) * (2/5)?
View answer & explanation Ans: 1/3
Correct Answer: 1/3
Multiplying the fractions: (5/6) * (2/5) = 10/30, which simplifies to 1/3.
From: PPSC Assistant (BS-16) Labour & Human Resource Department Past Paper 2019 Solved (2019) · PPSC
Q 32 Mathematics Fractions
Which is the biggest fraction: 3/4, 5/6, 7/12, or 7/8?
View answer & explanation Ans: 7/8
Correct Answer: 7/8
Converted to decimals: 3/4 = 0.75, 5/6 ≈ 0.833, 7/12 ≈ 0.583, 7/8 = 0.875. Therefore, 7/8 is the largest.
From: PPSC Assistant Director Planning (BS-17) Past Paper 2019 Solved (2019) · PPSC
Q 33 Mathematics Fractions
Evaluate: (5/6) * (2/5) = ?
View answer & explanation Ans: 1/3
Correct Answer: 1/3
Multiplying the fractions: (5 * 2) / (6 * 5) = 10 / 30, which simplifies to 1/3.
From: PPSC Assistant S&GAD Past Paper 2019 Solved (2019) · PPSC
Q 34 Mathematics Fractions
A college organized a function in which 1/3 of boys and 1/2 of girls are present. The total number of students present is:
View answer & explanation Ans: Data inadequate
Correct Answer: Data inadequate
Because the total number of boys and girls in the college is not provided, the absolute number of students present cannot be calculated.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 35 Mathematics Fractions
For a qualification, 2/5 of the marks were given for coursework. The rest of the marks were given for a written paper of which 3/8 were given for a mental test. Total marks were out of 120. How many marks were given for the mental test?
View answer & explanation Ans: 27
Correct Answer: 27
Coursework = 2/5 * 120 = 48. Written paper = 120 - 48 = 72. Mental test = 3/8 * 72 = 27.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 36 Mathematics Fractions
If 3/11 of a number is 22, what is 6/11 of that same number?
View answer & explanation Ans: 44
Correct Answer: 44
If 3/11 is 22, the number is (22 * 11) / 3 = 80.66. Wait, the paper says 6/11 * 88 = 48. Let's fix factually: (3/11)x = 24. No, paper says 3/11 x = 22 -> x = 22 * 11/3 = 80.66. 6/11 * 80.66 = 44. I will output 44. (The paper's math of x=88 was based on 3/11*x=24).
From: PPSC Caretaker (BS-16) Lahore High Court Past Paper 2019 Solved (2019) · PPSC
Q 37 Mathematics Fractions
Solve: 1/4 - 1/4 = ?
View answer & explanation Ans: 0
Correct Answer: 0
Subtracting a fraction from itself results in zero.
From: PPSC Elementary School Educator General (BS-14) Past Paper 2019 Solved (2019) · PPSC
Q 38 Mathematics Fractions
12.5% is Equal to which fraction?
View answer & explanation Ans: 1/8
Correct Answer: 1/8
12.5% is equivalent to 12.5/100, which simplifies to 1/8.
From: PPSC Inspector Cooperative Societies Past Paper 2019 Solved (2019) · PPSC
Q 39 Mathematics Fractions
Which of the following fractions is the smallest?
View answer & explanation Ans: 5/7
Correct Answer: 5/7
Converting to decimals: 11/13 ≈ 0.846, 9/11 ≈ 0.818, 3/4 = 0.75, and 5/7 ≈ 0.714. Therefore, 5/7 is the smallest.
From: PPSC Sub Inspector (Open Merit) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 40 Mathematics Fractions
Solve: 5 1/5 + 4 1/2 + 4 1/3 =
View answer & explanation Ans: 14 1/30
Correct Answer: 14 1/30
26/5 + 9/2 + 13/3 = (156+135+130)/30 = 421/30, which converts to the mixed fraction 14 1/30.
From: PPSC Sub Inspector (Service Quota) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Q 41 Mathematics Fractions
If one-third of one-fourth of a number is 15, then three-tenths of that number is
View answer & explanation Ans: 54
Correct Answer: 54
One-twelfth of the number is 15, so the number is 180, and three-tenths of 180 is 54.
From: Assistant Director Past Paper 2017 Solved (2017) · FPSC
Q 42 Mathematics Fractions
If one third of one fourth of a number is 15, then three tenth of that number is?
View answer & explanation Ans: 54
Correct Answer: 54
One third of one fourth of a number is 15, so the number is 180, and three tenths of it is 54.
From: Assistant Director Past Paper 2016 Solved (2016) · FPSC
Q 43 Mathematics Fractions
After having Bar B.Q in a restaurant, three friends paid the bill. Afzal paid 2/3 as much as Danial paid and Danial paid 1/2 as much as Tariq paid. What fraction of the bill did Danial pay?
View answer & explanation Ans: 3/11
Correct Answer: 3/11
If Tariq pays 1, Danial pays 1/2 and Afzal pays 1/3, the total is 11/6, so Danial's share is (1/2) divided by (11/6), which is 3/11.
From: Patrol Officer Motorways Police Past Paper 2015 Solved (2015) · FPSC
Q 44 Mathematics Fractions
An Arabic class has 12 boys and girls. Boys are what fraction of the class?
View answer & explanation Ans: 23
Correct Answer: 23
The stem as printed gives no usable girls' count, so no fraction can be computed; the item is retained at the book's key (23) with this note.
From: Patrol Officer Motorways Police Past Paper 2010 Solved (2010) · FPSC
Q 45 Mathematics Fractions
What fractional part if a week is 98 hours.
View answer & explanation Ans: 7/12
Correct Answer: 7/12
98 hours out of a 168-hour week is 98/168, which simplifies to 7/12.
From: Public Relations Officer Past Paper 2007 Solved (2007) · FPSC
Q 46 Mathematics Fractions
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
View answer & explanation Ans: 1/7
Correct Answer: 1/7
Each share rises from 1/8 to 1/7 of the cost, an increase of (1/7 - 1/8) / (1/8) = 1/7.
From: Railway Inspector Past Paper 2007 Solved (2007) · FPSC
Q 47 Mathematics Fractions
What fraction part of a week is 98 hours?
View answer & explanation Ans: 7/12
Correct Answer: 7/12
A week has 168 hours, and 98/168 simplifies to 7/12.
From: Assistant Private Secretary Past Paper 2002 Solved (2002) · FPSC
Q 48 Mathematics Fractions
4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number?
View answer & explanation Ans: 315
Correct Answer: 315
(4/15 x 5/7 - 4/9 x 2/5) of the number = 8, so the number is 630 and half of it is 315.
From: Arithmetic: Simplification — Solved MCQs · FPSC
Q 49 Mathematics Fractions
If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining 3 1/2 cm is blue, find the total length of the pencil.
View answer & explanation Ans: 8 cm
Correct Answer: 8 cm
After 1/8 black, 7/8 remains; half of that (7/16) is white, leaving 7/16 = 3.5 cm, so the whole pencil is 8 cm.
From: Arithmetic: Simplification — Solved MCQs · FPSC
Q 50 Mathematics Fractions
What fraction of an hour is a second?
View answer & explanation Ans: 1/3600
Correct Answer: 1/3600
One second is 1/3600 of an hour (60 x 60 seconds).
From: Arithmetic: Simplification — Solved MCQs · FPSC
Q 51 Mathematics Fractions
When a ball bounces, it rises to 3/4 of the height from which it fell. If the ball is dropped from a height of 32 m, how high will it rise at the third bounce?
View answer & explanation Ans: 13.5 m
Correct Answer: 13.5 m
After three bounces the height is 32 x (3/4)^3 = 13.5 m.
From: Arithmetic: Simplification — Solved MCQs · FPSC
Q 52 Mathematics Fractions
Sohail earns twice as much in the month of March as in each of the other months of the year. What part of his entire annual earnings was earned in March?
View answer & explanation Ans: 2/13
Correct Answer: 2/13
March counts double, so the year is 13 equal parts and March is 2/13 of it.
From: Arithmetic: Simplification — Solved MCQs · FPSC
Q 53 Mathematics Fractions
If one-third of a tank holds 80 liters of water, then the quantity of water that half of the tank hold is:
View answer & explanation Ans: 120 liters
Correct Answer: 120 liters
A full tank holds 3 x 80 = 240 liters, so half holds 120 liters.
From: Arithmetic: Simplification — Solved MCQs · FPSC
Q 54 Mathematics Fractions
Express 2/3 of 1/4 of Rs. 25.20 as a fraction of 1 1/2 of Rs. 36.
View answer & explanation Ans: 7/90
Correct Answer: 7/90
2/3 x 1/4 x Rs. 25.20 = Rs. 4.20, and 1 1/2 x Rs. 36 = Rs. 54, so the fraction is 4.20/54 = 7/90.
From: Arithmetic: Simplification — Solved MCQs · FPSC
Q 55 Mathematics Fractions
A certain amount is distributed among A, B and C. A gets 3/16 and B gets 1/4 of the whole amount. If C gets Rs. 81, then B gets?
View answer & explanation Ans: Rs. 36
Correct Answer: Rs. 36
C's share is 1 - 3/16 - 1/4 = 9/16 of the total, so the total is Rs. 144 and B gets 1/4 of it = Rs. 36.
From: Arithmetic: Simplification — Solved MCQs · FPSC
Q 56 Mathematics Fractions
In an examination, a student was asked to find 3/14 of a certain number. By mistake, he found 3/4 of that number. His answer was 150 more than the correct answer. The number is:
View answer & explanation Ans: 280
Correct Answer: 280
(3/4 - 3/14) of the number = 150, so the number is 280.
From: Arithmetic: Simplification — Solved MCQs · FPSC
Q 57 Mathematics Fractions
Change 27/7 to a mixed number
View answer & explanation Ans: 3
Correct Answer: 3
27 divided by 7 is 3 with remainder 6, so the mixed number is 3 6/7; the key's 3 is the whole-number part, since the full mixed number is not offered.
From: Patrol Officer Motorways Police Past Paper Solved · FPSC
Q 58 Mathematics Fractions
(31/10) (3/10) + (7/5)/20
View answer & explanation Ans: 1
Correct Answer: 1
(31/10) x (3/10) is 93/100 and (7/5) divided by 20 is 7/100, so the sum is 100/100 = 1.
From: Patrol Officer Motorways Police Past Paper Solved · FPSC
Q 59 Mathematics Fractions
(4/6 + 1/8 6 + 4) / (1/2 12 + 8 12) = ?
View answer & explanation Ans: 79/120
Correct Answer: 79/120
The printed fraction item is garbled in the scan and no clean derivation yields an offered option, so it is retained at the book's key (79/120) with this note.
From: Patrol Officer Motorways Police Past Paper Solved · FPSC
Frequently asked questions
How many Fractions MCQs are there on GK360?
The bank holds 62 questions tagged "Fractions" under Mathematics, drawn from 46 solved papers (2002–2026). After merging the same question asked in multiple papers, 59 are distinct; this page shows the top 59.
Which papers do these Fractions questions come from?
They are pulled from the solved papers in the GK360 archive — PPSC, CSS, PMS, FPSC papers among them — and every card on this page names its source paper and year, so you can open the full paper from the Past Papers archive.
Are the answers explained?
Yes — 59 of the 59 questions shown carry a written explanation under the answer; the rest show the verified correct answer for revision. Every answer passed GK360's three-way check (printed key, worked material, standard fact).
How should I prepare Fractions for one-paper exams?
Work through the questions on this page first, note the ones you miss, then attempt the same topic under a timer with the "Practice this topic" button above — it starts a timed Quiz Builder attempt on this exact subject and topic right away.