Chapter 3: Ratio and Proportion — Online MCQ Test
MATHS · Samacheer Kalvi 6th · Tamil Nadu State Board
Practice Chapter 3: Ratio and Proportion with a free chapter-wise online MCQ test.
This chapter covers: Ratio, Comparison, Order of terms, Proportion, Unitary method.
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter 3: Ratio and Proportion — Important Questions & Answers
What is the definition of a ratio?
- A. A comparison of two quantities by division
- B. A sum of two quantities
- C. A product of two quantities
- D. A difference between two quantities
Answer: A. A comparison of two quantities by division
A ratio is a way to compare two quantities using division, expressed as a:b or a/b.
A ratio is a way to compare two quantities using division, expressed as a:b or a/b.
Express the ratio 15:25 in its simplest form.
- A. 3:5
- B. 5:3
- C. 15:25
- D. 30:50
Answer: A. 3:5
Divide both terms by their GCD which is 5: 15÷5 = 3 and 25÷5 = 5, giving 3:5.
Divide both terms by their GCD which is 5: 15÷5 = 3 and 25÷5 = 5, giving 3:5.
A recipe requires flour and sugar in the ratio 3:2. If 6 cups of flour are used, how much sugar is needed?
- A. 2 cups
- B. 3 cups
- C. 4 cups
- D. 9 cups
Answer: C. 4 cups
If flour:sugar = 3:2 and flour = 6, then 3x = 6 gives x = 2. So sugar = 2×2 = 4 cups.
If flour:sugar = 3:2 and flour = 6, then 3x = 6 gives x = 2. So sugar = 2×2 = 4 cups.
Which is NOT a property of proportion?
- A. If a:b = c:d, then a+b:b = c+d:d
- B. If a:b = c:d, then a-b:b = c-d:d
- C. If a:b = c:d, then a:b = d:c
- D. If a:b = c:d, then a:c = b:d
Answer: C. If a:b = c:d, then a:b = d:c
The property a:b = d:c is not valid. Valid proportions maintain their equality relationship, not reverse the ratios.
The property a:b = d:c is not valid. Valid proportions maintain their equality relationship, not reverse the ratios.
If a:b = 3:4 and b:c = 5:6, find a:b:c.
- A. 15:20:24
- B. 3:4:5
- C. 9:12:15
- D. 12:15:18
Answer: A. 15:20:24
From a:b = 3:4, let a=3k, b=4k. From b:c = 5:6, 4k:c = 5:6, so c = 24k/5. To make integers, let k=5: a=15, b=20, c=24. Thus a:b:c = 15:20:24.
From a:b = 3:4, let a=3k, b=4k. From b:c = 5:6, 4k:c = 5:6, so c = 24k/5. To make integers, let k=5: a=15, b=20, c=24. Thus a:b:c = 15:20:24.