Question
If 'a' is inversely proportional to 'b' and 'b' inversely proportional to 'c', then
This question was previously asked in
UGC NET 2019 Paper 1 Question Paper (5-Dec-2019) (Shift 2)
The correct answer is
'a' is directly proportional to 'c'
To solve this question, we need to understand the relationship between the variables a, b, and c based on their proportionality.
- We are given that a is inversely proportional to b. This can be mathematically expressed as:
\(a = \frac{k}{b}\), where \(k\) is a constant.
- We are also given that b is inversely proportional to c. This means:
\(b = \frac{m}{c}\), where \(m\) is another constant.
- Let's substitute the equation for b in the equation for a:
\(a = \frac{k}{b} = \frac{k}{\frac{m}{c}} = \frac{k \cdot c}{m}\)
- From this expression, we see that a is directly proportional to c, as a can be expressed as a constant times c:
\(a = \left(\frac{k}{m}\right) c\)
- Thus, the correct statement is that a is directly proportional to c. This matches with the given correct answer option.
Hence, the correct option is: 'a' is directly proportional to 'c'.
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Important Questions from Direct or Indirect Proportion
- If x is inversely proportional to y, and y = 30 when x = 28, find the value of x, when y = 20.
- In an army camp, there were provisions for 425 men for 30 days. However, 375 men attended the camp. How long did the provisions last?
- There are 100 students in a hostel. Food provisions for them will last for 20 days. How long will the same provisions last if 25 more students join the hostel?
If an amount of Rs. 990 is divided among A, B and C in the ratio of 3 : 4 : 2, then B will get:
If x is added to each of 11, 17, 23, 33, then the numbers so obtained in this order are in proportion. What is the value of (5x - 3)?
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