Multiple choice

Directions: The following problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. Find the value of 4 consecutive numbers. (1) The sum of the first two numbers is 4 more than the third number. (2) The smallest number is a prime number.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both statements together are sufficient, but neither statement alone is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (1) and (2) together are not sufficient.

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

Let the numbers be x, x+1, x+2, x+3. (1) x + (x+1) = (x+2) + 4 => 2x + 1 = x + 6 => x = 5. The numbers are 5, 6, 7, 8. (2) Smallest is prime. 5 is prime, so this is consistent. Statement 1 is sufficient.