Forget the conventional way to solve DS questions.
We will solve this DS question using the variable approach.DS question with 3 variables and 1 Equation: Let the original condition in a DS question contain 3 variables and 1 Equation. Now, 3 variables and 1 Equation would generally require 2 more equations to give us the value of the variables.
We know that each condition would usually give us an equation, and since we need 2 more equations to match the number of variables and equations in the original condition, the equal number of equations and variables should logically lead to answer C.
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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.Let us give variable to each digit: Hundred's digit(a) ; Ten's digit(b) and One's digit(c).=> k = 100a + 10b + c
=> We have to find the value of 'k'
=> Given that 'a * b * c = 14'.
Second and the third step of Variable Approach: From the original condition, we have 3 variables (a, b and c) and 1 Equation( abc = 14). To match the number of variables with the number of equations, we need 2 equations. Since conditions (1) and (2) will provide 1 equation each, C would most likely be the answer.Let’s take a look at both condition together.Condition(1) tells us that 'k' is an odd integer.Condition(2) tells us that k < 700.=> 14 can be expressed as a product of 3 numbers as = 1 * 2 * 7
=> Three digits number less than 100 in which product of digits is 14 are: 127, 172, 271, 217.
Since the answer is not unique, both the conditions combined are not sufficient by CMT 2.Both conditions (1) and (2) combined are not sufficient.So, E is the correct answer.Answer: E