1) ................... variation occurs when an increase in one variable is results with an increase in value of the other variable. a) Direct b) Inverse c) Constant d) Variable 2) ........................ variation occurs when an increase in one variable is results with a decrease in value of the other variable. a) Constant b) Inverse c) Direct d) Factor 3) ................ variation is used in applications such as growth of populations, or value in simple interest situations. a) Inverse b) Change c) Decrease d) Direct 4) Two pipes A and B can fill a tank in 24 min. and 32 minutes respectively. If both the pipes are opened together, after how much time should B be closed so that the tank is full in 18 minutes? a) 24 b) 32 c) 18 d) 60 5) A pipe can fill a tank in 15 hours. Due to leak in the bottom, it is filled in 20 hours. If the tank is full, how much time will the leak take to empty it? a) 15 b) 20 c) 120 d) 60 6) A and B can do a particular work in 72 days. B and C in 120 days. A and C in 90 days. In how many days can A alone do the work? a) 120 b) 20 c) 100 d) 40 7) A and B undertake to do a piece of work for K600. A alone can do it in 6 days, while B alone can do it in 8 days but with the help of C, they finish it in 3 days. Find the share of C. a) 18 b) 24 c) 30 d) 8 8) 45 men can complete a work in 16 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work? a) 7 b) 9 c) 12 d) 6 9) x and y are in direct proportion and x = 40 when y = 120. If x = 60 then y = a) 100 b) 160 c) 180 d) 120 10) x varies inversely as y and x = 12 when y = 300, if x = 24 then y = a) 150 b) 180 c) 200 d) 60

VARIATION: Distinguish between direct and inverse variation

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