Multiple choice

Directions: Each of the question below consists of a question and two statements numbered I and II. Decide whether the data provided in the statements is sufficient to answer the question. Mark answer as: (1) if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. (2) if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. (3) if the data either in statement I alone or in statement II alone is sufficient to answer the question. (4) if the data in both statements I and II together is required to answer the question. What will be the value of the second number? I. First number is 60 per cent of the second number. II. 50 per cent of the sum of the first and second numbers is 24.

  1. (1)

  2. (2)

  3. (3)

  4. (4)

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the numbers be x and y. Statement I gives x = 0.6y. Statement II gives 0.5(x + y) = 24, which simplifies to x + y = 48. Using both equations, we substitute 0.6y for x to get 1.6y = 48, allowing us to solve for y.

AI explanation

Let the second number be y and the first number be x. Statement I provides the equation x = 0.60y, while statement II provides 0.50(x + y) = 24, simplified to x + y = 48. Substituting the first equation into the second yields 0.60y + y = 48, which solves to y = 30, meaning both statements together are required.