Math In the diagram above, points A, O, and B all lie on a diameter of the large circle, and D and d are the diameters of the two smaller circles. If the sum of the areas of the two smaller circles is 5/8 of the...

Verbal The theoretical physicist, despite his mathematical training, oftentimes must deal with questions that fall under the realm of the philosophical. Nonetheless, he will often marshal formulae when they serve to (i) ______ a theory, notwithstanding the fact that many such theories are not (ii) ______...

Math \({3a^2 + 5b^2 = 0}\) Quantity A Quantity B \({5a-3b}\) \({0}\) A. The quantity in Column A is greaterB. The quantity in Column B is greaterC. The two quantities are equalD. The relationship cannot be determined from the information given   Correct Answer - C  - (click and drag your mouse...

Verbal Forty years ago, anthropologists firmly believed that Neanderthals and modern homo sapiens never mated, but advances in genetic testing proved that incorrect — such is the _________ nature of science.A. fallaciousB. evolvingC. counterfactualD. advancingE. vacillatingF. indeterminable   Correct Answer - B & D  - (click and drag...

Math If P dollars borrowed or invested for for \({t}\) years at the interest rate \({r}\) compounded \({n}\) times per year, then the future value (a) will be \({A=P(1+\frac{{r}}{{n}})^{nt}}\)Two individuals, M and N invested P dollars with the following conditions and both gained the same future...

Math A positive integer \({n}\) has a remainder of 5 when is divided by 7.\({\frac{{m+3}}{{5}}}\) is an integer greater than 1. Quantity A Quantity B The remainder when \({(5n+3)}\) is divided by 7 The remainder when \({m}\) is divided by 5 A)The quantity in Column A is greater.B)The quantity in Column B is greater.C)The...

Verbal Peculiarly enough, Shakespeare has been often (i) ______ as the best English language playwright, and often (ii) ______ as a man lacking the education to write those plays. Blank (i) Blank (ii) (A) crowned (D) demonized (B) stigmatized (E) dismissed (C) castigated (F) deified Correct Answer - A and E  - (click and drag...

Math In the figure, what is the area of triangle BCD given that the area of triangle ADE is 16 & the area of triangle CDE is 12?A) 12B) 16C) 20D) 28E) Cannot be determined Correct Answer - D  - (click and drag your mouse to see...

Math A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/5 the...

Math In the coordinate geometry plane, point A is the midpoint between points (5,8) and (-3, -2). If the midpoint between point A and point B is (4, -1), in which quadrant does point B lie?A. IB. IIC. IIID. IVE. None of the above Correct Answer -...