Multiple choice

Passage

Directions : In this problem, a question is given followed by two statements numbered I and II. Read the statements and determine which of them is/are sufficient/necessary to answer the question. Choose the correct option accordingly. Mark your answer as (a) if the question can be answered by using statement I alone, but cannot be answered by using statement II alone (b) if the question can be answered by using statement II alone, but cannot be answered by using statement I alone (c) if both statements I and II together are necessary to answer the question (d) if the question can be answered by using either of the two statements alone (e) if both the statements together are not sufficient to answer the question

Find the present ages of Priya and Tina. I. The respective ratio of the ages of Priya and Tina after 2 years will be 10 : 11. II. The difference between their present ages is 2 years.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives (P+2)/(T+2) = 10/11. Statement II gives |P-T| = 2. Together, these two linear equations in two variables allow solving for P and T.

AI explanation

Statement I provides the ratio (P + 2) / (T + 2) = 10 / 11, which gives one equation with two variables. Statement II provides a second equation, P - T = 2. You must use both statements together to form a system of two linear equations, which allows you to solve for the exact values of both variables.

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