2025 · Q52
Five prime numbers are arranged in ascending order. The ratio of the product of the first three of them to that of the last three of them is 35: 323. What is the difference between the smallest and the largest numbers?
General Mental Ability, Quantitative Aptitude and StatisticsNumber system
- A8
- B10
- C12
- D14
Explanation
The ratio of the products is (p1.p2.p3)/(p3.p4.p5) = (p1.p2)/(p4.p5) = 35/323. Since 323 = 17 x 19, p4 = 17 and p5 = 19; and 35 = 5 x 7 gives p1 = 5 and p2 = 7 (with p3 being 11 or 13). The difference between largest and smallest is 19 - 5 = 14.