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Chapter 4: Direct and Inverse Proportion — Online MCQ Test

MATHS · Samacheer Kalvi 7th · Tamil Nadu State Board
Practice Chapter 4: Direct and Inverse Proportion with a free chapter-wise online MCQ test. 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

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?
  • A. 8 hours
  • B. 9 hours
  • C. 10 hours
  • D. 16 hours
Answer: A. 8 hours
Number of taps and time are in inverse proportion. 3 × 12 = 4 × time, so time = 9 hours.