Chapter Exam

Chapter 4: Direct and Inverse Proportion — Online MCQ Test

Q: If 5 pens cost ₹25, what is the cost of 1 pen?

Answer: B. ₹5 — The cost is directly proportional to the number of pens. So ₹25 ÷ 5 = ₹5 per pen.

Q: If 3 kilograms of apples cost ₹180, how much will 5 kilograms cost?

Answer: C. ₹300 — This is direct proportion. The cost of 1 kg is ₹60, so 5 kg costs ₹300.

Q: Three taps can fill a tank in 12 hours. How many hours will 4 such taps take to fill the same tank?

Answer: A. 8 hours — Number of taps and time are in inverse proportion. 3 × 12 = 4 × time, so time = 9 hours.

MATHS · Samacheer Kalvi 7th · Tamil Nadu State Board

Practice Chapter 4: Direct and Inverse Proportion with a free chapter-wise online MCQ test for Tamil Nadu State Board Samacheer Kalvi 7th MATHS. This chapter covers: Explains proportional relationships and problem solving ratio proportion inverse relation. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 4: Direct and Inverse Proportion — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board Samacheer Kalvi 7th MATHS — Chapter 4: Direct and Inverse Proportion, with answers and explanations. These are sample questions; the exam has its own separate question set.

Which of the following best describes direct proportion?

A. When one quantity increases, the other decreases
B. When one quantity increases, the other also increases in the same ratio ✓
C. When both quantities are always equal
D. When one quantity is always zero

Answer: B. When one quantity increases, the other also increases in the same ratio
In direct proportion, two quantities increase or decrease together in the same ratio.

If 5 pens cost ₹25, what is the cost of 1 pen?

A. ₹4
B. ₹5 ✓
C. ₹10
D. ₹20

Answer: B. ₹5
The cost is directly proportional to the number of pens. So ₹25 ÷ 5 = ₹5 per pen.

If 3 kilograms of apples cost ₹180, how much will 5 kilograms cost?

A. ₹240
B. ₹270
C. ₹300 ✓
D. ₹320

Answer: C. ₹300
This is direct proportion. The cost of 1 kg is ₹60, so 5 kg costs ₹300.

Which statement is NOT true for direct proportion?

A. The ratio of corresponding values remains constant
B. If one quantity doubles, the other also doubles
C. The product of the two quantities remains constant ✓
D. Both quantities change in the same direction

Answer: C. The product of the two quantities remains constant
A constant product is a feature of inverse proportion, not direct proportion. In direct proportion, the ratio remains constant.

Three taps can fill a tank in 12 hours. How many hours will 4 such taps take to fill the same tank?