Each of the questions in this section consist of two quantities, one in Column A and one in Column B. You are to compare the two quantities and choose the correct answer A if the quantity in A is greater; B if the quantity in B is greater; C if the two quantities are equal; D if the relationship cannot be determined from the information given. :RA Notes: 1. In certain questions, information concerning one or both of the quantities to be compared is centered. 2. In a given question, a symbol that appears in both columns represents the same thing in Column A as it does in Column B. 3. Letters such as k, n, and a stand for real numbers. :RA :Q COLUMN A COLUMN B 1. 5T - 20 = 30 T 10 :RCC 1. (c) Solve for T, then make the comparison: 5T - 20 = 30 5T = 50 T = 10 Since 10 = 10 the answer is (c). :RA :Q COLUMN A COLUMN B 4 yd, 2 ft, 4 in 2. ---------------- 15 in 4 :RCA 2. (a) convert everything to inches then divide. 4 yd, 2 ft, 4 in ---------------- 4 1 yd = 3 ft 4 yd = 12 ft 1 ft = 12 in 2 ft = 24 in 12 ft = 144 in 144 in + 24 in + 4 in --------------------- 4 :RA 172 in ------ = 43 in 4 43 in is greater than 15 in Note: A good student will look at the two columns before he does the conversion. It is obvious that 4yds divided by 4 is greater than 15 in making COLUMN A greater than COLUMN B. Remember do not do the computations unless absolutely necessary. :RA :Q COLUMN A COLUMN B 28 1 3. -- = - y 2 y 57 :RCB 3. (b) Use Geometry property: cross multiply then solve for y. 28 1 -- = - y 2 y = 56 56 is less than 57 therefore (b) :RA :Q COLUMN A COLUMN B __ / 1 4. / -- 25% \/ 16 :RCC __ _ / 1 \/1 4. (c) Rewrite: / -- as --- \/ 16 \/16 then divide: 1 - = .25 = 25% so (c) is correct. 4 :RA :Q :SB :SP077056077111132111077056 :SH1514B C :SH0714A :SF COLUMN A COLUMN B 2 2 2 5. (AB) + (BC) (AC) :RCC 5. (c) According to Pythagorean Theorem: 2 2 2 (AB) + (BC) = (AC) . Therefore the two sides are equal. :RA :SD :Q COLUMN A COLUMN B _______ / 1 1 1 1 6. / -- + -- - + - \/ 16 49 4 7 :RCB 6. (b) Ans. According to the law of square roots you must add inside the square root before you take the square root. L.C.D. = 3.0625 _______ / 1 1 1 1 / -- + -- - + - \/ 16 49 4 7 _______ /49 + 16 7 4 / ------- -- + -- \/ 16 x 49 28 28 ___ / 65 11 / --- -- \/ 784 28 :RA __ \/65 ---- 28 8+ 11 -- is less than -- 28 28 Therefore (b) is correct. :RA :Q COLUMN A COLUMN B 7. 280% of 12 34 :RCB 7. (b) Ans. Follow percentage rules and reduce. % is --- = -- 100 of 280 y --- = -- 100 12 100y = 3360 y = 33.6 is less than 34 Therefore (b) is correct. :RA :Q :SB :SP085056077111132111085056 :SH1513B C :SH0714A :SF COLUMN A COLUMN B 8. (BC) (AC) :RCD 8. (d) Ans. Since it is not given that <BAC = 45 or <ACB = 45, you cannot determine which side is larger. :RA :SD :Q COLUMN A COLUMN B 0 9. A = B _ \/A 2 :RCB 9. (b) Ans. Any number raised to the zero power equals one. :ET :ET
