Exam Countdown SPSC CCE-2026 Screening TestSaturday, 28 November 2026 Official source

Topic MCQs · Mathematics

Ratios MCQs

67 MCQs on Ratios sit in the GK360 bank, collected from 46 solved papers (2004–2027). Below are the top 64 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 1 Mathematics Ratios

If the ratio of boys to girls is 2:3 and there are 12 boys, how many girls are there?

A

18

Correct
B

16

C

20

D

14

View answer & explanation Ans: 18

Correct Answer: 18

Each ratio part = 12 / 2 = 6, so girls = 3 x 6 = 18.

From: CSS MPT 2027 Practice Set — Sir Adnan 300 One-Liners with Answers (2027) · CSS

Q 2 Mathematics Ratios

In a class, the ratio of men to women is 3:5. If there are 24 people, how many are women?

A

9

B

12

C

15

Correct
D

18

View answer & explanation Ans: 15

Correct Answer: 15

The class divides into 3 + 5 = 8 parts; each part is 24 ÷ 8 = 3, so women number 5 × 3 = 15.

From: CSS MPT 2027 Practice Set — Sir Adnan Pack 2 One-Liners with Answers (2027) · CSS

Q 3 Mathematics Ratios

The sum of ratio 1:x:5 is 11 find the value of x:

A

5

Correct
B

6

C

7

D

8

View answer & explanation Ans: 5

Correct Answer: 5

Sum of parts 1 + x + 5 = 11, so x + 6 = 11 and x = 5.

From: Clubbed Case PMS Past Paper 2026 Solved (2026) · PPSC

Q 4 Mathematics Ratios

The price of a product is 800000 and is increased in the ratio 3:9. The new price is:

A

850000

B

900000

Correct
C

920000

D

950000

View answer & explanation Ans: 900000

Correct Answer: 900000

The book's solution settles on 900000 as the new price for this item.

From: Clubbed Case PMS Past Paper 2026 Solved (2026) · PPSC

Q 5 Mathematics Ratios

If a:b:c=3:4:7 then ratio (a+b+c):c is equal to:

A

2:1

Correct
B

14:3

C

7:2

D

1:2

View answer & explanation Ans: 2:1

Correct Answer: 2:1

With a:b:c = 3:4:7, a+b+c = 14 parts and c = 7 parts, so (a+b+c):c = 14:7 = 2:1.

From: ESE PTI Past Paper 2026 Solved (2026) · PPSC

Q 6 Mathematics Ratios

The sum of the ratio 1:X:5 is 11. Find the value of X.

A

4

B

5

Correct
C

6

D

7

View answer & explanation Ans: 5

Correct Answer: 5

If the sum of the ratio parts 1 + X + 5 equals 11, then X + 6 = 11, solving to X = 5.

From: PMS Phase-I Past Paper 2026 Solved (2026) · PPSC

Q 7 Mathematics Ratios

The original price of a product is 800,000. It is increased in the ratio 8:9. The new price is?

A

900000

Correct
B

1000000

C

1100000

D

None of these

View answer & explanation Ans: 900000

Correct Answer: 900000

The price increases by a factor of 9/8. Thus, 800,000 * (9/8) = 900,000.

From: PMS Phase-I Past Paper 2026 Solved (2026) · PPSC

Q 8 Mathematics Ratios

Solve the basket problem (2/3 hr = 15/2 hrs):

A

9

B

16

C

14

D

45/2

Correct
View answer & explanation Ans: 45/2

Correct Answer: 45/2

Based on the provided values, the mathematical result is 45/2.

From: PPSC Enforcement/Intelligence Officer Past Paper 2026 Solved (2026) · PPSC

Q 9 Mathematics Ratios

Solve the ratio problem 12:68:

A

130

B

150

C

170

Correct
D

175

View answer & explanation Ans: 170

Correct Answer: 170

Based on proportional scaling (12/68 = x/y), the result is 170.

From: PPSC Enforcement/Intelligence Officer Past Paper 2026 Solved (2026) · PPSC

Q 10 Mathematics Ratios

If x:y = 6:5, z:y = 9:25 then what is ratio of x:z?

A

50:33

B

10:3

Correct
C

48:25

D

54:125

View answer & explanation Ans: 10:3

Correct Answer: 10:3

x/y = 6/5 and z/y = 9/25, so x/z = (6/5) x (25/9) = 150/45 = 10/3.

From: Senior Inspector & Assistant Director Past Paper 2026 Solved (2026) · PPSC

Q 11 Mathematics Ratios

If X = 80% of Y and Z = 120% of X, then the ratio X:Y:Z will be?

A

10:25:30

B

10:15:20

C

20:25:24

Correct
D

10:25:23

View answer & explanation Ans: 20:25:24

Correct Answer: 20:25:24

X = 0.8Y => Y = 1.25X. Z = 1.2X. Ratio X:Y:Z = X:1.25X:1.2X = 1:1.25:1.2 = 20:25:24.

From: PPSC General Knowledge and Subject Specific Past Paper 2025 Solved (2025) · PPSC

Q 12 Mathematics Ratios

The salaries of A, B, and C are in the ratio 2:3:5. If their salaries are increased by 15%, 10%, and 20% respectively, what will be the new ratio of their salaries?

A

23:33:60

Correct
B

21:33:55

C

24:30:60

D

23:30:58

View answer & explanation Ans: 23:33:60

Correct Answer: 23:33:60

After applying the percentage increases (2 * 1.15 = 2.3, 3 * 1.10 = 3.3, 5 * 1.20 = 6.0), the ratio 2.3:3.3:6.0 simplifies to 23:33:60.

From: PPSC Planning Officer Primary & Secondary Healthcare Department Past Paper 2025 Solved (2025) · PPSC

Q 13 Mathematics Ratios

If an orange costs Rs. 20 and an apple costs Rs. 16, what is the ratio of their costs?

A

5:4

Correct
B

4:5

C

4:16

D

20:4

View answer & explanation Ans: 5:4

Correct Answer: 5:4

Ratio of orange to apple is 20:16, which simplifies to 5:4.

From: PPSC Assistant (BS-16) S&GAD Past Paper 2024 Solved (2024) · PPSC

Q 14 Mathematics Ratios

If a line segment is divided into a ratio of 4:6, then the number of division portions is:

A

6

B

9

C

10

Correct
D

18

View answer & explanation Ans: 10

Correct Answer: 10

The total number of segments or portions is the sum of the ratio parts: 4 + 6 = 10.

From: PPSC Assistant S&GAD Past Paper 2024 Solved (2024) · PPSC

Q 15 Mathematics Ratios

The ratio of 8 inches to 7 feet will be:

A

2:21

Correct
B

21:2

C

8:9

D

2:7

View answer & explanation Ans: 2:21

Correct Answer: 2:21

Convert feet to inches: 7 feet * 12 = 84 inches. The ratio is 8:84. Dividing by 4 gives 2:21.

From: PPSC Assistant S&GAD Past Paper 2024 Solved (2024) · PPSC

Q 16 Mathematics Ratios

The ratio between two numbers is 3:4. If each number is increased by 3, the ratio becomes 4:5. Find the difference between the numbers.

A

3

Correct
B

9

C

2

D

7

View answer & explanation Ans: 3

Correct Answer: 3

Let numbers be 3x and 4x. (3x+3)/(4x+3) = 4/5. 15x+15 = 16x+12, so x=3. The numbers are 9 and 12, making their difference 3.

From: PPSC Deputy Secretary/Controller of Examinations Past Paper 2024 Solved (2024) · PPSC

Q 17 Mathematics Ratios

If P : Q = 8 : 15 and Q : R = 3 : 2, then find P : Q : R?

A

8 : 15 : 7

B

8 : 15 : 10

Correct
C

7 : 15 : 8

D

10 : 15 : 8

View answer & explanation Ans: 8 : 15 : 10

Correct Answer: 8 : 15 : 10

Multiply Q:R by 5 to make Q equal in both ratios (15). Hence, 3:2 becomes 15:10. Combined ratio is 8:15:10.

From: PPSC Excise and Taxation Inspector Past Paper 2024 (Paper 2) Solved (2024) · PPSC

Q 18 Mathematics Ratios

If 80% of the applicants to a program were rejected, what is the ratio of the number accepted to the number rejected?

A

1:4

Correct
B

1:5

C

2:5

D

4:5

View answer & explanation Ans: 1:4

Correct Answer: 1:4

If 80% were rejected, then 20% were accepted. The ratio of accepted (20%) to rejected (80%) is 20:80, which simplifies to 1:4.

From: PPSC Tehsildar & Consolidation Officer Board of Revenue Past Paper 2024 Solved (2024) · PPSC

Q 19 Mathematics Ratios

If two times A is equal to three times of B and also equal to four times of C, then A : B : C is

A

2:3:4

B

3:4:2

C

4:6:3

D

6:4:3

Correct
View answer & explanation Ans: 6:4:3

Correct Answer: 6:4:3

Given 2A = 3B = 4C. Let them equal 12 (the LCM). Then A = 6, B = 4, and C = 3. Therefore, A:B:C = 6:4:3.

From: PPSC Assistant (BS-16) Board of Revenue Past Paper 2023 Solved (2023) · PPSC

Q 20 Mathematics Ratios

A profit of rupees 12300 is distributed among three partners in the ratio 4/3:7/6:11/12. Find the share of the third partner.

A

4200

B

3300

Correct
C

4600

D

None of these

View answer & explanation Ans: 3300

Correct Answer: 3300

Convert ratio 16/12 : 14/12 : 11/12 to 16:14:11. Total parts = 41. Third share = (11/41)*12300 = 3300.

From: PPSC Canal Patwari Past Paper 2023 (Paper 4) Solved (2023) · PPSC

Q 21 Mathematics Ratios

Which number increases 224 in the ratio 7:9?

A

22

B

24

C

26

D

288

Correct
View answer & explanation Ans: 288

Correct Answer: 288

Increasing 224 in the ratio 7:9 means multiplying it by 9/7. The calculation is 224 / 7 = 32, and 32 * 9 = 288.

From: PPSC Junior Computer Operator (BS-12) Past Paper 2023 Solved (2023) · PPSC

Q 22 Mathematics Ratios

What is the smallest ratio of 0.35/0.65?

A

5/13

B

7/13

Correct
C

9/15

D

3/17

View answer & explanation Ans: 7/13

Correct Answer: 7/13

0.35 / 0.65 = 35 / 65. Dividing both the numerator and denominator by 5 gives 7 / 13.

From: PPSC Assistant and Multiple Posts Past Paper 2022 Solved (2022) · PPSC

Q 23 Mathematics Ratios

If in two hours three lawns are being completed. How many lawns will be completed in ten hours?

A

10 lawns

B

12 lawns

C

15 lawns

Correct
D

None of these

View answer & explanation Ans: 15 lawns

Correct Answer: 15 lawns

Lawns per hour = 3 / 2 = 1.5. In 10 hours: 10 * 1.5 = 15 lawns.

From: PPSC Assistant and Multiple Posts Past Paper 2022 Solved (2022) · PPSC

Q 24 Mathematics Ratios

Three quantities a, b, c have ratios a:b = 1:2 and b:c = 2:3. The combined ratio a:b:c is:

A

3:4:5

B

2:3:4

C

1:2:3

Correct
D

None of these

View answer & explanation Ans: 1:2:3

Correct Answer: 1:2:3

Since the value of 'b' is 2 in both given ratios, the combined ratio directly becomes a:b:c = 1:2:3.

From: PPSC Assistant Director Processing Agriculture Department Past Paper 2022 Solved (2022) · PPSC

Q 25 Mathematics Ratios

If A:B:C = 2:3:4, then A/B : B/C : C/A is equal to:

A

4:9:16

B

8:9:12

C

8:9:24

Correct
D

None of these

View answer & explanation Ans: 8:9:24

Correct Answer: 8:9:24

Substitute A=2, B=3, C=4. Ratios are 2/3 : 3/4 : 4/2. Multiply by the LCM (12) to get 8 : 9 : 24.

From: PPSC Manager Auqaf (BS-16) Past Paper 2022 Solved (2022) · PPSC

Q 26 Mathematics Ratios

If x:y = 3:4, then (7x + 3y) : (7x - 3y) is equal to?

A

11:3

Correct
B

6:3

C

5:3

D

1:3

View answer & explanation Ans: 11:3

Correct Answer: 11:3

Substitute x=3 and y=4. 7(3)+3(4) = 21+12=33. 7(3)-3(4) = 21-12=9. The ratio 33:9 simplifies to 11:3.

From: PPSC Various Posts (BS-17 & BS-18) Past Paper 2022 Solved (2022) · PPSC

Q 27 Mathematics Ratios

If A:B = 2:3 and B:C = 4:5 then A:B:C is:

A

5:4:6

B

2:3:5

C

8:12:15

Correct
D

None of these

View answer & explanation Ans: 8:12:15

Correct Answer: 8:12:15

Multiply the first ratio by 4 (8:12) and the second by 3 (12:15) to make B equal in both. Resulting ratio is 8:12:15.

From: PPSC Assistant (BS-16) Housing Urban Development & Public Health Engineering Department Past Paper 2021 Solved (2021) · PPSC

Q 28 Mathematics Ratios

If A:B = 2:3, B:C = 3:4, A:D = 4:5 then C:D is?

A

5:1

B

3:5

C

8:5

Correct
D

None of these

View answer & explanation Ans: 8:5

Correct Answer: 8:5

Since A:B=2:3 and B:C=3:4, A:C is 2:4, meaning C=2A. Since A:D=4:5, D=(5/4)A. The ratio C:D is 2A:(5/4)A = 8:5.

From: PPSC Assistant (BS-16) Housing Urban Development & Public Health Engineering Department Past Paper 2021 Solved (2021) · PPSC

Q 29 Mathematics Ratios

If x:y = 5:2, then (8x+9y):(8x+2y) is:

A

26:61

B

29:22

Correct
C

22:29

D

None of these

View answer & explanation Ans: 29:22

Correct Answer: 29:22

Substitute x=5 and y=2: (8(5) + 9(2)) : (8(5) + 2(2)) = (40 + 18) : (40 + 4) = 58:44 = 29:22.

From: PPSC Assistant (BS-16) Housing Urban Development & Public Health Engineering Department Past Paper 2021 Solved (2021) · PPSC

Q 30 Mathematics Ratios

A washerman irons 4 shirts in 12 minutes. How many shirts will he iron in one hour?

A

15

B

20

Correct
C

30

D

None of these

View answer & explanation Ans: 20

Correct Answer: 20

In 12 minutes he irons 4 shirts. In 60 minutes (1 hour) he will iron (60/12) * 4 = 20 shirts.

From: PPSC Assistant Board of Revenue Past Paper 2021 Solved (2021) · PPSC

Q 31 Mathematics Ratios

A sum of RS 95000 is to be divided among A, B, and C in such a way that A:B is 2:3 and B:C is 2:3. What will be the share of A?

A

35000

B

20000

Correct
C

17000

D

None of these

View answer & explanation Ans: 20000

Correct Answer: 20000

Ratios A:B = 4:6 and B:C = 6:9. Combined ratio A:B:C = 4:6:9. Total parts = 19. A's share = (4/19) * 95000 = 20000.

From: PPSC Assistant BS-16 Livestock & Dairy Development Past Paper 2021 Solved (2021) · PPSC

Q 32 Mathematics Ratios

If 3/4 of the Police employees are not graduates, the ratio of graduates to non-graduates employees in the police department is:

A

1:3

Correct
B

3:7

C

3:4

D

4:3

View answer & explanation Ans: 1:3

Correct Answer: 1:3

If 3/4 are non-graduates, then 1/4 are graduates. The ratio of graduates to non-graduates is 1/4 : 3/4, which simplifies to 1:3.

From: PPSC Assistant Sub Inspector (Punjab Police) Past Paper 2021 Solved (2021) · PPSC

Q 33 Mathematics Ratios

The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is:

A

21:19

B

22:9

C

11:9

Correct
D

None of these

View answer & explanation Ans: 11:9

Correct Answer: 11:9

x + y = 40 and x - y = 4. Solving gives x = 22, y = 18. Their ratio is 22:18, which simplifies to 11:9.

From: PPSC Assistant Sub Inspector (Service Quota) Punjab Police Past Paper 2021 Solved (2021) · PPSC

Q 34 Mathematics Ratios

Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is:

A

31

B

33

Correct
C

35

D

None of these

View answer & explanation Ans: 33

Correct Answer: 33

Solving (3x - 9) / (5x - 9) = 12/23 yields x = 11. The smaller number is 3x, so 3 * 11 = 33.

From: PPSC Assistant Women Development Department Past Paper 2021 Solved (2021) · PPSC

Q 35 Mathematics Ratios

If 2/3 of A is 75% of B = 0.6 of C then A:B:C is:

A

3:4:5

B

9:8:10

Correct
C

9:11:14

D

None of these

View answer & explanation Ans: 9:8:10

Correct Answer: 9:8:10

2A/3 = 3B/4 = 3C/5. Multiply by LCM 60: 40A = 45B = 36C. Ratio A:B:C equates to 9:8:10.

From: PPSC Office Assistant (BS-16) HUD & PHE Department Past Paper 2021 Solved (2021) · PPSC

Q 36 Mathematics Ratios

A milkman adds 10 liters water in 10-liter milk. His son takes 15 liter of mixture and adds 5-liter water in it. Find out the amount of water in liter in this milk?

A

10

B

12.5

Correct
C

13.8

D

15

View answer & explanation Ans: 12.5

Correct Answer: 12.5

The initial 20L mixture is 1:1 ratio. The 15L taken contains 7.5L water and 7.5L milk. Adding 5L more water brings the total water to 12.5L.

From: PPSC Assistant Anti-Corruption Establishment Past Paper 2020 Solved (2020) · PPSC

Q 37 Mathematics Ratios

A Company invited applications for 1,00,000 shares and it received applications for 1,50,000 shares. Applications for 30,000 shares were rejected and the remaining were allotted shares on prorata basis. How many shares an applicant for 3,000 shares will be allotted:

A

2,500 Shares

Correct
B

3,600 Shares

C

4,500 Shares

D

2,000 Shares

View answer & explanation Ans: 2,500 Shares

Correct Answer: 2,500 Shares

Out of 150,000 apps, 30,000 were rejected, leaving 120,000 for 100,000 shares. The allotment ratio is 100,000/120,000 = 5/6. Therefore, 3000 * 5/6 = 2,500 shares.

From: PPSC Labour Inspector (BS-14) Past Paper 2020 Solved (2020) · PPSC

Q 38 Mathematics Ratios

A candidate was selected for 6 jobs as he gave 15 interviews. What is the ratio of not selected jobs to the number of interviews?

A

9:15

B

3:5

Correct
C

4:9

D

None of these

View answer & explanation Ans: 3:5

Correct Answer: 3:5

Out of 15 interviews, 6 were selected, meaning 9 were not selected. The ratio of not selected to total interviews is 9:15, which simplifies to 3:5.

From: PPSC Labour Inspector (BS-14) Past Paper 2020 Solved (2020) · PPSC

Q 39 Mathematics Ratios

If 2 : 7 :: x : 49, what is the value of "x"?

A

9

B

52

C

14

Correct
D

28

View answer & explanation Ans: 14

Correct Answer: 14

By cross-multiplication: 7 * x = 2 * 49. So, 7x = 98, which gives x = 14.

From: PPSC Labour Officer (BS-16) Past Paper 2020 Solved (2020) · PPSC

Q 40 Mathematics Ratios

A hockey team won 6 games and lost 8. What is the ratio of wins to number of games?

A

6:8

B

8:6

C

3:7

Correct
D

6:14

View answer & explanation Ans: 3:7

Correct Answer: 3:7

Total games played = 6 + 8 = 14. Ratio of wins to total games = 6:14, which simplifies to 3:7.

From: PPSC Manager Auqaf Past Paper 2020 Solved (2020) · PPSC

Q 41 Mathematics Ratios

Which of the following ratios is the largest?

A

7:15

B

15:23

C

17:25

D

21:29

Correct
View answer & explanation Ans: 21:29

Correct Answer: 21:29

Converting ratios to decimals: 7/15=0.46, 15/23=0.65, 17/25=0.68, 21/29=0.72. Therefore, 21:29 is the largest.

From: PPSC Assistant (BS-16) Labour & Human Resource Department Past Paper 2019 (Paper 2) Solved (2019) · PPSC

Q 42 Mathematics Ratios

A car's faulty meter records 2 miles for every 3 miles actually covered. If the meter shows 48 miles, what is the actual distance covered by the car?

A

72 miles

Correct
B

32 miles

C

96 miles

D

64 miles

View answer & explanation Ans: 72 miles

Correct Answer: 72 miles

The ratio is 2 recorded : 3 actual. Multiply 48 by (3/2) to find the actual distance: 48 * 1.5 = 72 miles.

From: PPSC Assistant Director (BS-17) PESSI Past Paper 2019 Solved (2019) · PPSC

Q 43 Mathematics Ratios

If a:b = 2:3 and b:c = 4:3, then find a:b:c

A

8:12:9

Correct
B

4:3:2

C

2:3:4

D

8:9:12

View answer & explanation Ans: 8:12:9

Correct Answer: 8:12:9

Make 'b' equal in both ratios by multiplying the first by 4 (giving 8:12) and the second by 3 (giving 12:9). Result: 8:12:9.

From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 44 Mathematics Ratios

Two numbers are in the ratio 7:9. If the sum of the numbers is 112, then the larger number is:

A

49

B

56

C

63

Correct
D

72

View answer & explanation Ans: 63

Correct Answer: 63

Total ratio units = 7 + 9 = 16. The value of 1 unit = 112 / 16 = 7. The larger number is 9 * 7 = 63.

From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 45 Mathematics Ratios

Three numbers are in the ratio 4:5:6 and their average is 30. The largest number is:

A

24

B

30

C

36

Correct
D

42

View answer & explanation Ans: 36

Correct Answer: 36

Sum of numbers = 30 * 3 = 90. Total units = 4 + 5 + 6 = 15. One unit = 90 / 15 = 6. Largest number = 6 * 6 = 36.

From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 46 Mathematics Ratios

The ratio of 3.5 kg to 280 gm is?

A

25:2

Correct
B

5:2

C

2:25

D

2:5

View answer & explanation Ans: 25:2

Correct Answer: 25:2

3.5 kg = 3500 gm. The ratio 3500:280 simplifies to 350:28, which further reduces to 25:2.

From: PPSC Inspector Cooperative Societies Past Paper 2019 Solved (2019) · PPSC

Q 47 Mathematics Ratios

In a school having a roll strength of 286, the ratio of boys and girls is 8:5. If 22 more girls are admitted, the new ratio of boys to girls becomes:

A

4:3

Correct
B

3:2

C

8:7

D

10:7

View answer & explanation Ans: 4:3

Correct Answer: 4:3

Total=286, Ratio=8:5. Boys=176, Girls=110. Adding 22 girls makes 132 girls. The new ratio 176:132 simplifies to 4:3.

From: PPSC Junior Clerk (BS-11) Labour and Human Resource Department Past Paper 2019 Solved (2019) · PPSC

Q 48 Mathematics Ratios

A hockey team won 6 games and lost 8. What is the ratio of wins to the total number of games?

A

3:4

B

6:8

C

3:7

Correct
D

7:3

View answer & explanation Ans: 3:7

Correct Answer: 3:7

Total games = 6 + 8 = 14. The ratio of wins (6) to total games (14) simplifies to 3:7.

From: PPSC Sub Inspector (Open Merit) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 49 Mathematics Ratios

The length and breadth of a rectangle are in the ratio 3:1. If the breadth is 7 cm, then the length of the rectangle is:

A

14 cm

B

21 cm

Correct
C

28 cm

D

35 cm

View answer & explanation Ans: 21 cm

Correct Answer: 21 cm

Since length is three times the breadth, Length = 3 * 7 cm = 21 cm.

From: PPSC Sub Inspector (Open Merit) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 50 Mathematics Ratios

The ratio 35:84 in its simplest form is:

A

5:12

Correct
B

7:12

C

5:14

D

7:14

View answer & explanation Ans: 5:12

Correct Answer: 5:12

Both numbers are divisible by 7. 35 / 7 = 5, and 84 / 7 = 12, yielding 5:12.

From: PPSC Sub Inspector (Open Merit) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 51 Mathematics Ratios

The length and width of a field are in the ratio 5:3. If the width of the field is 42 m, then its length is:

A

50 m

B

60 m

C

70 m

Correct
D

80 m

View answer & explanation Ans: 70 m

Correct Answer: 70 m

Ratio is 5:3. If 3 parts = 42 m, then 1 part = 14 m. Length = 5 parts = 5 * 14 = 70 m.

From: PPSC Sub Inspector (Open Merit) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 52 Mathematics Ratios

The total number of students in a class is 95. If the total number of girls in the class is 45, then the ratio of boys to girls is:

A

9:10

B

10:9

Correct
C

1:2

D

5:4

View answer & explanation Ans: 10:9

Correct Answer: 10:9

Number of boys = 95 - 45 = 50. The ratio of boys to girls is 50:45, which simplifies to 10:9.

From: PPSC Sub Inspector (Open Merit) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 53 Mathematics Ratios

The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class?

A

42

Correct
B

40

C

44

D

48

View answer & explanation Ans: 42

Correct Answer: 42

If boys = 3x and girls = x, total children = 4x. The total must be a multiple of 4. Since 42 is not divisible by 4, it cannot represent the total.

From: PPSC Sub Inspector (Service Quota) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 54 Mathematics Ratios

A ratio equivalent to 3:7 is:

A

9:21

Correct
B

6:10

C

12:25

D

15:30

View answer & explanation Ans: 9:21

Correct Answer: 9:21

Multiplying both parts of the ratio 3:7 by 3 gives 9:21, making them equivalent.

From: PPSC Sub Inspector (Service Quota) Punjab Police Past Paper 2019 Solved (2019) · PPSC

Q 55 Mathematics Ratios

If a:b = 2:3 and b:c = 4:3, then a:b:c

A

8:12:9

Correct
B

4:6:9

C

8:12:12

D

2:3:4

View answer & explanation Ans: 8:12:9

Correct Answer: 8:12:9

From a:b = 2:3 and b:c = 4:3, scaling gives a:b:c = 8:12:9.

From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC

Q 56 Mathematics Ratios

If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then A:B:C:D

A

8:12:15:18

B

16:24:30:40

C

16:24:30:35

Correct
D

4:6:10:12

View answer & explanation Ans: 16:24:30:35

Correct Answer: 16:24:30:35

Combining the ratios gives A:B:C:D = 16:24:30:35.

From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC

Q 57 Mathematics Ratios

Salaries of A, B, C in ratio 2:3:5 with increments 15%, 10%, 20%; new ratio

A

23:33:55

B

23:33:60

Correct
C

20:33:60

D

23:30:60

View answer & explanation Ans: 23:33:60

Correct Answer: 23:33:60

After the increments, the salaries become 2.3 : 3.3 : 6.0, i.e. 23:33:60.

From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC

Q 58 Mathematics Ratios

In a college, boys:girls = 8:5; 200 girls; total students

A

320

B

420

C

620

D

520

Correct
View answer & explanation Ans: 520

Correct Answer: 520

With boys:girls = 8:5 and 200 girls, each part is 40, so the total is 13 x 40 = 520 students.

From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC

Q 59 Mathematics Ratios

Sum of three numbers is 98; first:second = 2:3, second:third = 5:8; second number

A

30

Correct
B

24

C

36

D

40

View answer & explanation Ans: 30

Correct Answer: 30

The ratios give first:second:third = 10:15:24, a total of 49 parts = 98, so the second number is 15 x 2 = 30.

From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC

Q 60 Mathematics Ratios

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is?

A

2:5

B

3:5

C

4:5

Correct
D

6:5

View answer & explanation Ans: 4:5

Correct Answer: 4:5

The two numbers are 120 and 150 against a third number of 100, a ratio of 4:5.

From: Assistant Director Past Paper 2016 Solved (2016) · FPSC

Q 61 Mathematics Ratios

The monthly incomes of Peter and Paul are in the ratio of 4:3. Their expenses are in the ratio of 3:2. If each saves Rs.600 at the end of the month, their monthly incomes respectively are (in Rupees):

A

2400 and 1800

Correct
B

1800 and 2400

C

2400 and 1600

D

2000 and 1500

View answer & explanation Ans: 2400 and 1800

Correct Answer: 2400 and 1800

Solving 4x - 3y = 600 and 3x - 2y = 600 gives x = 600, so the incomes are Rs. 2400 and Rs. 1800.

From: Assistant Director Past Paper 2012 Solved (2012) · FPSC

Q 62 Mathematics Ratios

If 4a = 8b, what is the ratio of a to b?

A

1:2

B

2:3

Correct
C

3:2

D

2:4

View answer & explanation Ans: 2:3

Correct Answer: 2:3

From 4a = 8b, a = 2b, so a:b = 2:1; that ratio is not among the printed options, and the book keys 2:3.

From: Junior Admin Officer Past Paper 2004 Solved (2004) · FPSC

Q 63 Mathematics Ratios

What is the ratio of 1 km to 600 m?

A

6:3

B

5:3

Correct
C

5:4

D

6:4

View answer & explanation Ans: 5:3

Correct Answer: 5:3

1000:600 simplifies to 5:3.

From: MCQs from Previous Papers of Inspector Customs / Intelligence Officer, FBR — Solved MCQs · FPSC

Q 64 Mathematics Ratios

A team won 4 hockey matches and lost 5. What is the ratio of wins to losses?

A

5:5

B

4:6

C

5:6

D

4:5

Correct
View answer & explanation Ans: 4:5

Correct Answer: 4:5

The ratio of wins to losses is 4:5.

From: MCQs from Previous Papers of Inspector Customs / Intelligence Officer, FBR — Solved MCQs · FPSC

Frequently asked questions

How many Ratios MCQs are there on GK360?

The bank holds 67 questions tagged "Ratios" under Mathematics, drawn from 46 solved papers (2004–2027). After merging the same question asked in multiple papers, 64 are distinct; this page shows the top 64.

Which papers do these Ratios questions come from?

They are pulled from the solved papers in the GK360 archive — CSS, PPSC, 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 — 64 of the 64 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 Ratios 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.

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