Question 17

If f(x) = 4x – 1 and f(g(6))  = – 1/3, then g(x) could equal which of the following? (A) 1/x (B) x2 (C) x/6 (D) – x/18 Solution: Choice A is correct. Since, f(g(6))  =  – 1/3 Therefore, 4 g(6) – 1 = – 1/3 ( As f(x) = 4x – 1) Hence 4 g(6) = 2/3...

Question 16

If -1 and 4 are both roots of a given polynomial, then which of the following must be a factor of the polynomial? (A) x – 1 (B) x2 + 3x − 4 (B) x2 – 3x − 4 (D) x + 4 Solution: Choice C is correct. Since, -1 and 4 are both roots of a given polynomial....

Question 15

Snowshine Floors Carpeting is hired to lay down carpet in R rooms of equal size. Snowshine Floor’s fee can be calculated by the Expression RCLW, where R is the number of rooms, C is the cost per square foot of the carpet in dollars, L is the length of each room in...

Question 14

At a pet store 4 goldfish are selected at random from each group of 50. At this rate, how many goldfish will be selected in total if the pet store has 2000 goldfish? A)  4 B) 160 C) 200 D) 2000 Solution: Choice B is correct. Since, 4 goldfish are selected from a...

Question 9

Ram drives an average of 50 km per week. His car travels at an average of 25 km per litre of petrol. He would like to reduce his weekly expenditure by 5 Rs. The cost of petrol per litre is 4 Rs. Which equation can Ram use to determine how many fewer average km, K,...

Question 2

If (py + 2) (qy + 7) = 15 + cy + 14 for all values of y, and p + q = 8. What are the possible values of c ? A) 3 and 5 B) 6 and 35 C) 10 and 21 D) 31 and 41 Solution: Choice D is correct.