antitative Section : Quantitative Ability Directions: In this section you will be given two quantities, one in column A and one in column B. You are to determine a relationship between the two quantities and mark. 1. Column 1: 197+398+586 Column 2: 203+405+607 a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : b Explanation: This can easily be solved less than a minute by adding, but in only 5 seconds by thinking. Each of the three numbers in column 2 is greater than the corresponding number in column 1. Therefore the answer is (b) 2. x > 0 Column 1: 10x Column 2: 10/x a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : d Explanation: When x = 1, the columns are equal: where as when x= 2, they aren’t. As column 1 = 10x and column 2 = 10/x. Now multiply each column by x (this is ok since x > 0) and divide each column by 10, that will be equal to column 1 = x2 and column 2 = 1. This is a much easier comparison x2 could equal 1 but doesn’t have to. The answer is option (d) 3. Column 1: The time that it takes to type 7 pages at a rate of 6 pages per hour Column 2: The time that is takes to type 6 pages at a rate of 7 pages per hour a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : a Explanation: You can easily calculate each of the times by dividing 7 by 6 in column 1 and 6 by 7 in column 2. However, it is easier to just observe that the time in column 1 is more than one hour, whereas the time in column 2 is less than one hour. 4. A, B and C are the measures of the angles of isosceles triangle ABC. X, Y, and Z are the measures of the angles of right triangle XYZ. Column 1: The average of a, b, and c Column 2: The average of x, y, and z a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : c Explanation: The average of three numbers is their sum divided by 3. Since in any triangle the sum of the measures of the three angles is 180 degree, the average in each column to 180/3 = 60. Pick values of the measures of the angles. For example in isosceles triangle ABC, Choose 70, 70, 40 in right triangle XYZ, Choose 30, 60, 90. Each average is 60, therefore the answer would be (c). 5. Column 1: The area of the circle whose radius is 17 Column 2: The area of a circle whose diameter is 35 a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : b Explanation: Do not calculate the two areas instead compare them. The circle in column 1 has a radius of 17 and so its diameter is 34. Since the circle in column 2 has a larger diameter, its area is greater. 6. Line K goes through (1, 1) and (5, 2). Line M is perpendicular to K Column 1: The slope of line K Column 2: The slope of the line M a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : a Explanation: Line K has a positive slope therefore it slopes upward, whereas line M has a negative slope. Slope K is ¼ and slope of M is -4. The answer cannot be option (d) and if the two lines intersect, their slopes cannot be equal so eliminate option (c) and the correct option is (a). 7. x is a positive integer Column 1: The number of multiple of 6 between 100 and x + 100 Column 2: The number of multiples of 9 between 100 and x + 100 a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : d Explanation: Every sixth integer is the multiple of 6 and every ninth integer is a multiple of 9 so in a large interval there will be many more multiples of 6. But in a very small interval there must be none or possibly just one of each. Let x = 1 between 100 and 101 there are no multiples of 6 than there are of 9 therefore option (c) cannot be the correct answer, therefore the answer is option (d) 8. x + y = 5 y – x = -5 Column 1: Y Column 2: 0 a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : c Explanation: Add the equation x + y = 5 + y – x = - 5/2 y = 0 Since 2y = 0, y = 0. In each equation if y = 0, then x = -5, so y can be equal to 0. Eliminate option (a) and (b). And the correct option would be option (c). When you have two equations in two variables, there is only one solution so nothing else is possible. 9. Column 1: 7/8 Column 2: (7/8) to the power 5 a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : a Explanation: The arithmetic is annoying and time consuming, but not that tough. However you can avoid the arithmetic. If 0 < x < 1 and n > 1, then x to the power n < x. 7/8 is less than 1. So 7/8 < (7/8) to the power 5. Therefore the correct option would be (a) 10. The number of square inches in the surface area of a cube is equal to the number of cubic inches in its volume Column 1: The length of an edge of the cube Column 2: 6 inches a. The quantity in column 1 is greater b. The quantity in column 2 is greater c. The two quantities are equal d. The relationship cannot be determined from the information given below Ans : c Explanation: If each edge is 6 the area of each face is 6*6 = 36, and since a cube has six faces, the total surface area is 6*36 = 216. The volume is 6 cube = 216. So the columns could be equal to 216. So the columns could be equal. Eliminate the option (a) and (b). If you have sense that this is the only cube with this property. Therefore the option would be (c).
Posted on: Thu, 20 Mar 2014 11:03:10 +0000
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