Variation Jamb Mathematics Past Questions
Question 6
y is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.
- A. 2
- B. 10
- C. 1/5
- D. 1/10
Question 7
The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec
- A. 96 cm
- B. 324 cm
- C. 36 cm
- D. 144 cm
Question 8
The weight W kg of a metal bar varies jointly as its length L meters and the square of its diameter d meters. If w = 140 when d = 4\(\frac{2}{3}\) and L = 54, find d in terms of W and L.
- A. \(\sqrt{\frac{42W}{5L}}\)
- B. \(\sqrt{\frac{6L}{42W}}\)
- C. \(\frac{42W}{5L}\)
- D. \(\frac{5L}{42W}\)
Question 9
If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?
- A. p varies directly as \(r^3\)
- B. p varies inversely as \(r^6\)
- C. p varies inversely as \(6√P\)
- D. p varies directly as \(r^6\)
Question 10
If x - 3 is directly proportional to the square of y and x = 5 when y =2, find x when y = 6.
- A. 30
- B. 21
- C. 16
- D. 12
