Multiple choice

Tony has a box of apples. How many apples are in the box, 1. if he gave the apples to 7 friends equally? There are 3 apples left . 2. if he gave the apples to 4 friends equally? There are 2 apples left.

  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 the statements together are sufficient but neither statement alone is sufficient.

  4. Each statement alone is sufficient.

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

assume, there are x apples: 1)  only, x = 7 n + 3, we don't know the value of n, so we don't know the value of x, insufficient. 2)  only, x = 4m + 2, we don't know the value of m, so we don't know the value of x, insufficient. 1)  and 2) together, x = 7n + 3 = 4m + 2, so 7n + 1 = 4m. m can be 2 and n can be 1, then x = 10. But m can also be 9 and n can be 5, then x=35. So, there are at least two possible x value, insufficient.

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