Math (PS) During the break of a football match the coach will make 3 substitutions. If the team consists of 11 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted? (A) (B) (C) (D) (E) OA and...

Math (PS) How many real roots does this equation have? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 OA and Explanation Verbal (CR) Which of the following most logically completes the argument? The irradiation of food kills bacteria and thus retards spoilage. However, it also lowers the nutritional value of many foods. For...

Math (PS) Function is defined as follows: if is positive or 0 then ; if is negative then . Which of the following is true about ? I. II. III. (A) I only (B) II only (C) III only (D) I and III only (E) not I, II, or III OA and...

Math (PS) How many odd three-digit integers greater than 800 are there such that all their digits are different? (A) 40 (B) 56 (C) 72 (D) 81 (E) 104 OA and Explanation Verbal (SC) A new test for AIDS has proved helpful in eliminating blood, contaminated with the virus, from the nation’s blood supply. (A)...

Math (DS) On the picture above, is the area of the triangle greater than 1? 1. 2. Perimeter of the triangle is greater than OA and Explanation Verbal (SC) Not one of the potential investors is expected to make an offer...

Math (DS) The vertices of a triangle have coordinates , , and where and . What is the area of the triangle? 1. 2. Angle at the vertex = angle at the vertex OA...

Math (PS) A smith received an order to make a 1 million liter cube-shaped tank (note that 1 cubic meter = 1,000 liters of water). If he has only 4 meter by 2 meter sheets of metal that can be cut, how many metal sheets will...

Math (PS) If and , which of the following must be true, assuming ? (A) (B) (C) (D) (E) OA and Explanation Verbal (CR) George Bernard Shaw wrote: “That any sane nation, having observed that you could provide for the supply of bread by giving...