Variation - Jamb Mathematics Past Questions and Answers

Question 36:

• JAMB 2005

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?

A. 20
B. 35
C. 45
D. 60

Question 37:

• JAMB 2006

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 r³
B. P varies inversely as r⁶
C. P varies inversely as ⁶√P
D. P varies directly as r⁶

Question 38:

• JAMB 2007

W ∝ L² and W = 6 when L = 4. If L = √17 find W

A. 6⁷/₈
B. 6⁵/₈
C. 6³/₈
D. 6¹/₈

Question 39:

• JAMB 2008

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

Question 40:

• JAMB 2008

If p varies inversely as the square of q and p=8 when q=4, find q when p =32

A. \(\pm\)16
B. \(\pm\)8
C. \(\pm\)4
D. \(\pm\)2