Question 1Evaluate $log_{10} 0.225$ if $log_{10} 3 = 0.477 $and $log_{10} 5 = 0.699$A.-0.352 B.-0.648C.-1.352 D.-1.648Objective Show full explanation
Question 2Simplify: $√{3} + 2 - {1}/{2 - √{3}}$A.√3 - 1B.2√3C.√3D.0Objective Show full explanation
Question 3Given the universal set μ = {2, 3, 4, 5, 6, 7, 8. 9} and subsets P = {2, 4, 6, 8} and Q = {X: x2 < 50, X is odd}, find (PnQ)A.{9}B.{0}C.⁏D.μObjective Show full explanation
Question 4if y = 2/3x + 1 and z = 2/3 + 1, then the value of z when x = 66 is A.151/2B.21C.31D.61Objective Show full explanation
Question 5Factorize completely pqx2 - 3px - 2qxyA.(px - 2y)(qx - 3)B.(qx + 3)(2y - px)C.(px - 2y) (qx -3)D.(px + 2y)(qx - 3)Objective Show full explanation
Question 6The length of a rectangle exceeds its width by 2cm. if the area of the rectangle is 80cm2, the length of the rectangle is A.16cm B.10cm C.8cm D.5cmObjective Show full explanation
Question 9Find the values of x for which 22x+3 - 33 × 2x + 4 = 0A.x = 2, x = -3 B.x = -2, x = 3 C.x = -2, x = 3 D.x =4, x = 1/8 E.x = 2, x = 3Objective Show full explanation
Question 11Given that m = 3 and n = 2, find the value of 3n2 - 2m2/mA.3 B.10 C.11/2 D.4Objective Show full explanation
Question 13If R = {even numbers from 4 to 12}, find n(R)A.6 B.8 C.7 D.5Objective Show full explanation
Question 14Find the derivative of y = 2x2 + 3x with respect to x A.4x + 2 B.4x + 3 C.4x + 4 D.4xObjective Show full explanation
Question 16The discrete numbers in the following distribution 2, 3, 3, 5, 3, 7, 5 are: A.2, 3, 5 B.3, 5, 3, 7 C.2, 3D.2, 3, 5, 7Objective Show full explanation
Question 17Compute the average rate of change of y = f(x) = x2 -2 between x = 3 and x = 4A.4 B.5 C.6 D.7Objective Show full explanation
Question 18An unbiased coin having w faces head (H) and tail (T) is tossed 3 times. How many total outcomes constitute the sample space? A.4 B.5 C.6 D.8Objective Show full explanation
Question 19A tailor gives a discount of 21/2% for cash payments. calculate the reduced price of a suit mared N5440A.N5204 B.N5300 C.N5304D.N5301Objective Show full explanation
Question 20Calculate the area in hectares of a rectangular field 125m long and 98m wide A.1.2ha B.1.02ha C.1.21ha D.1.225haObjective Show full explanation
Question 22Without using tables, evaluate $(125)^{-1/3} x (0.49)^{-1/2} x (0.01)^{-1/2}$A.7/20 B.20/7 C.5/7 D.7/5Objective Show full explanation