Ratio & Proportion MCQs for CCAT | 20 Practice Questions with Answers

Q: If A:B = 2:3 and B:C = 4:5, find A:B:C.

The correct answer is A: 8:12:15. Make B same: A:B = 8:12, B:C = 12:15. So A:B:C = 8:12:15.

Q: Divide ₹720 in the ratio 4:5.

The correct answer is B: ₹320, ₹400. Total parts = 9. First = 720×4/9 = 320. Second = 720×5/9 = 400.

Q: The ratio of two numbers is 3:5. If 8 is added to each, the ratio becomes 2:3. Find the numbers.

The correct answer is B: 24 and 40. Let numbers be 3x, 5x. (3x+8)/(5x+8) = 2/3. Solving: x=8. Numbers: 24, 40.

Q: If x:y = 5:2, then (2x+3y):(3x+5y) equals:

The correct answer is A: 16:25. Let x=5k, y=2k. (10k+6k):(15k+10k) = 16k:25k = 16:25.

Q: The mean proportional between 4 and 9 is:

The correct answer is B: 6. Mean proportional = √(4×9) = √36 = 6.

Q1.

If A:B = 2:3 and B:C = 4:5, find A:B:C.

A8:12:15

B2:3:4

C4:6:5

D8:12:10

Show Answer & Explanation

Correct Answer: A — 8:12:15

Make B same: A:B = 8:12, B:C = 12:15. So A:B:C = 8:12:15.

Q2.

Divide ₹720 in the ratio 4:5.

A₹300, ₹420

B₹320, ₹400

C₹280, ₹440

D₹360, ₹360

Show Answer & Explanation

Correct Answer: B — ₹320, ₹400

Total parts = 9. First = 720×4/9 = 320. Second = 720×5/9 = 400.

Q3.

The ratio of two numbers is 3:5. If 8 is added to each, the ratio becomes 2:3. Find the numbers.

A12 and 20

B24 and 40

C18 and 30

D15 and 25

Show Answer & Explanation

Correct Answer: B — 24 and 40

Let numbers be 3x, 5x. (3x+8)/(5x+8) = 2/3. Solving: x=8. Numbers: 24, 40.

Q4.

If x:y = 5:2, then (2x+3y):(3x+5y) equals:

A16:25

B13:20

C5:8

D10:17

Show Answer & Explanation

Correct Answer: A — 16:25

Let x=5k, y=2k. (10k+6k):(15k+10k) = 16k:25k = 16:25.

Q5.

The mean proportional between 4 and 9 is:

A5

B6

C6.5

D7

Show Answer & Explanation

Correct Answer: B — 6

Mean proportional = √(4×9) = √36 = 6.

Q6.

A and B together have ₹1200. If 2/5 of A's money = 1/3 of B's money, how much does A have?

A₹450

B₹500

C₹550

D₹600

Show Answer & Explanation

Correct Answer: B — ₹500

2A/5 = B/3. A:B = 5:6. A = 1200×5/11 = 545.45 â‰ˆ ₹500.

Q7.

If 2:3::4:x, find x.

A5

B6

C7

D8

Show Answer & Explanation

Correct Answer: B — 6

In proportion, product of means = product of extremes. 2x = 12. x = 6.

Q8.

The ages of A and B are in the ratio 5:7. Four years later, their ages will be in ratio 3:4. Find present age of A.

A15

B20

C25

D30

Show Answer & Explanation

Correct Answer: B — 20

Let ages be 5x, 7x. (5x+4)/(7x+4) = 3/4. 20x+16 = 21x+12. x=4. A=20.

Q9.

In a mixture of 60 liters, the ratio of milk to water is 2:1. How much water must be added to make the ratio 1:2?

A40 liters

B50 liters

C60 liters

D70 liters

Show Answer & Explanation

Correct Answer: C — 60 liters

Milk = 40L, Water = 20L. Let x liters water added. 40/(20+x) = 1/2. x = 60.

Q10.

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

A1:2

B2:4

C3:4

D2:3

Show Answer & Explanation

Correct Answer: A — 1:2

a:b = 2:3, b:c = 3:4. a/c = (a/b)×(b/c) = (2/3)×(3/4) = 1/2. So a:c = 1:2.

Q11.

A sum of money is divided among A, B, C in ratio 2:3:5. If C gets ₹500 more than A, find the total sum.

A₹1500

B₹1667

C₹2000

D₹2500

Show Answer & Explanation

Correct Answer: B — ₹1667

C - A = 5x - 2x = 3x = 500. x = 166.67. Total = 10x = 1666.67 ≈ ₹1667.

Q12.

The ratio of incomes of A and B is 5:4. The ratio of their expenditures is 3:2. If each saves ₹1000, find A's income.

A₹3000

B₹4000

C₹5000

D₹6000

Show Answer & Explanation

Correct Answer: C — ₹5000

Let incomes be 5x, 4x. Expenses: 5x-1000 and 4x-1000. (5x-1000)/(4x-1000) = 3/2. Solving: x=1000. A=5000.

Q13.

If x:y = 3:4, find (4x+5y):(5x-2y).

A32:7

B31:7

C30:7

D33:7

Show Answer & Explanation

Correct Answer: A — 32:7

Let x=3k, y=4k. (12k+20k):(15k-8k) = 32k:7k = 32:7.

Q14.

A bag contains coins in the ratio 2:3:5. If there are 50 coins in all, find the number of each type.

A10, 15, 25

B8, 12, 30

C12, 18, 20

D15, 20, 15

Show Answer & Explanation

Correct Answer: A — 10, 15, 25

Total parts = 10. Each part = 5 coins. Coins: 10, 15, 25.

Q15.

The third proportional to 4 and 8 is:

A12

B14

C16

D20

Show Answer & Explanation

Correct Answer: C — 16

If 4:8::8:x, then 4x = 64. x = 16.

Q16.

Gold and copper are mixed in ratio 7:2. If 9 grams of mixture contains gold worth ₹315, find rate of gold per gram.

A₹40

B₹45

C₹50

D₹55

Show Answer & Explanation

Correct Answer: B — ₹45

Gold in 9g = 9×7/9 = 7g. Rate = 315/7 = ₹45 per gram.

Q17.

The ratio of ages of A and B is 4:3. After 6 years, ratio becomes 5:4. Find present ages.

A24 and 18

B20 and 15

C16 and 12

D28 and 21

Show Answer & Explanation

Correct Answer: A — 24 and 18

Let ages = 4x, 3x. (4x+6)/(3x+6) = 5/4. 16x+24 = 15x+30. x=6. Ages: 24, 18.

Q18.

A and B invest in ratio 3:2. A invests for 8 months, B for 12 months. Profit ratio is:

A1:1

B2:1

C1:2

D3:2

Show Answer & Explanation

Correct Answer: A — 1:1

Profit ratio = (3×8):(2×12) = 24:24 = 1:1.

Q19.

A mixture contains alcohol and water in ratio 4:3. If 10 liters of water is added, ratio becomes 4:5. Find original quantity.

A14 liters

B21 liters

C28 liters

D35 liters

Show Answer & Explanation

Correct Answer: D — 35 liters

Let mixture = 7x. Alcohol = 4x, Water = 3x. 4x/(3x+10) = 4/5. 20x = 12x+40. x=5. Total = 35.

Q20.

If A:B = 1:2, B:C = 3:4, C:D = 5:6, find A:D.

A5:16

B1:6

C3:8

D5:24

Show Answer & Explanation

Correct Answer: A — 5:16

A/D = (A/B)×(B/C)×(C/D) = (1/2)×(3/4)×(5/6) = 15/48 = 5/16. A:D = 5:16.

Ratio & Proportion — Practice MCQs for CCAT

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