Information given:- Shipment has two types of boxes: fragile and non-fragile
- Question: Did more than half of the fragile boxes contain electronics?
Question:- Did more than half of the fragile boxes contain electronics?
Solution:- Statement 1: Two-thirds of the boxes in the shipment are fragile
- 2/3 of all boxes are fragile, but we do not know anything about how many fragile boxes have electronics vs. not
- We can't answer whether more than half of the fragile boxes contain electronics
- Insufficient
- Statement 2: Four-fifths of the boxes contain electronics
- 4/5 of all boxes contain electronics, but we don't know how the electronics boxes are split, fragile or non-fragile
- Insufficient
- Statement 1 and 2 combined
- We can use numbers to test this scenario
- If we take total boxes = 15
- Statement 1 tells us 10 boxes are fragile, and 5 are non-fragile
- Statement 2 tells us 12 boxes contain electronics, and 3 do not contain electronics
- If we maximize the amount of non-fragile boxes with electronics (5), that still leaves 7 electronics for fragile boxes, which is more than half
- Therefore, combining the statements forces more than half of fragile boxes to contain electronics
- Sufficient
Answer: C, both statements together are sufficient, but neither alone is sufficientBunuel
A department store received a shipment of two types of boxes on Monday: fragile and non-fragile. Did more than half of the fragile boxes contain electronics?
(1) Two-thirds of the boxes in the shipment are fragile.
(2) Four-fifths of the boxes in the shipment contain electronics.