Multiple choice

Directions: In the following question, a given questions is followed by information in three statements. You have to decide the data in which statement (s) is sufficient to answer the question and mark your answer accordingly. Find the present age of B? Statement I - Age A 2years ago equal to the age of C 4years ago. Age of C is average age of A and B. Statement II - ratio of present age of B and age of C after 2 years is 1:1. A is 2 years younger than C.

  1. Only Statement I alone.

  2. Only Statement II alone.

  3. Both Statements I and II together.

  4. Neither Statement I nor II is sufficient.

  5. Either Statement I or II.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives relationships among A, B, and C but does not fix their absolute ages. Statement II also gives only relative relationships, and using both statements still leaves the ages undetermined. Therefore, neither statement is sufficient.

AI explanation

Let the present ages of A, B, and C be a, b, and c. Statement I gives a minus 2 equals c minus 4 and c equals the average of a and b, which simplifies to a equals c minus 2 and 2c equals a plus b; substituting a yields b equals c plus 2, providing only ratios. Statement II gives b divided by c plus 2 equals 1 and a equals c minus 2, meaning b equals c plus 2; combining both statements only shows b is c plus 2 and a is c minus 2, yielding absolutely no numerical value to find b. Therefore, neither statement I nor II is sufficient.

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