Question
What is the value of x (x and y are real numbers)?
Statement I: 2x + 3y = 17 Statement II: 3x − y = 7Solution
ATQ, Statement I alone: one linear equation in two variables ⇒ infinitely many (x,y). Not sufficient. Statement II alone: one linear equation in two variables ⇒ not sufficient. Using both statements together: system of two independent linear equations in two variables ⇒ unique solution for x and y. So together they are sufficient. Thus, both together are sufficient, neither alone is sufficient.
17 32 99 ? 1965 11784
...77 ? 190 257 331 412
...Given below are three numbers series I, II and II where each series contains a wrong (odd one out) term. The wrong number in series I, II and III are '...
91   93   97   100   ?   113
12 Â Â Â 11 Â Â Â Â 21 Â Â Â Â 62 Â Â Â Â ? Â Â Â Â Â 1234
13 15 ? 63 143 293
...102     153      306      765       ?     8032.5
...17 ? 33 44 57 72
...3 5 7 25 85 481
...1 4 13 46 ? 976
...
