Forget the conventional way to solve DS questions.
We will solve this DS question using the variable approach.DS question with 3 variables: Let the original condition in a DS question contain 3 variables or over 3 variables. In other words, there are at least three fewer equations than variables. (2) Now, we know that each condition (1) and (2) would usually give us an equation, however, since we need at least 3 equations to match the numbers of variables and equations in the original condition, the unequal number of equations and variables should logically give us an answer E.
Although A could be an answer in a few cases, it is more likely that the answer is E.
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Let’s apply the 3 steps suggested previously. [Watch lessons on our website to master these 3 steps]
Step 1 of the Variable Approach: Modifying and rechecking the original condition and the question.We have to find value of x + y + z.=> Given that: x, y, and z are three positive consecutive odd integers.
Second and the third step of Variable Approach: From the original condition, we have 3 variables (x, y, and z). To match the number of variables with the number of equations, we need 3 equations. Since conditions (1) and (2) will provide 1 equation each, E would most likely be the answer.Since it is a Key question[INTEGER QUESTION] check A or B as an answer
Let’s take a look at each conditions separately .Condition(1) tells us that x, y, and z are prime numbers.=> x, y, and z are prime numbers and they are positive consecutive odd integers. The only possible combination is 3, 5, and 7.
Therefore, x + y + z = 3 + 5 + 7 = 15
Since the answer is unique, condition(1) is sufficient by CMT 2.Condition(2) tells us that x < y < z.=> If x = 3 ; y = 5 and z = 7 then x < y < z and x + y + z = 15
=> But If x = 11 ; y = 13 and z = 15 then x < y < z and x + y + z = 38
Since the answer is not unique, condition(2) is not sufficient by CMT 2.Condition (1) alone is sufficient.So, A is the correct answer.Answer: A _________________