Directions: In each question, you are given certain data followed by two statements. For answering the questions:
If a, b, c are integers, is (a - b + c) > (a + b - c)?
Explanation: Cancel out the integer “a” on both the sides of he inequality. Arrange “b” on one side of the inequality and “c” on the other. We have to now determine the relation between (- 2b) and (- 2c). If “b” is - ve, then (- 2b) is + ve. If “c” is + ve, then (- 2c) is - ve. So ( - 2b) > (- 2c). Since both the statements are required to determine the outcome, we get (4) as the answer.
Directions: In each question, you are given certain data followed by two statements. For answering the questions:
What is the Selling Price of the article ?
Explanation: By default, the profit is always mentioned as a % of the CP. From statement (II), we see that the profit on the article is 25% of Rs. 250, which is Rs. 62.50. So the SP can be determined with the help of statement (II) alone, and the answer is (2).
Directions: In each question, you are given certain data followed by two statements. For answering the questions:
A tractor travelled a distance of 5 m. What is the radius of the rear wheel?
Explanation: To find the radius of the rear wheel, we need to know the numerical value of its circumference. From statement (I), we get a relation between the circumferences of the two wheels in terms of “N”. From statement (II), we get similar information in terms of “t”. Thus, the radius cannot be determined from the given data and the answer is (1).
Directions: In each question, you are given certain data followed by two statements. For answering the questions:
What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together? (The containers are of equal volume)
Explanation: There is a catch in the problem. Although the containers are of equal volume, it is not known to what extent these containers are filled by the liquids A and B. (i.e. the first container might be half full, while the second might be two-thirds full). Until such details are known, the final ratio of liquids A and B cannot be found out. Thus, the answer is (1).
Directions: In each question, you are given certain data followed by two statements. For answering the questions:
If α, β are the roots of the equation (ax² + bx + c = 0), then what is the value of (α² + β²)?
Explanation: The two statements give the standard result which hold good for any quadratic equation of the given form. (?² + ?²) can be obtained as [(?+ ?)2 - 2??]. From the given statements one can get an answer only in terms of a and b. So the answer is (1).