Correct option is A
Given
Four prime numbers in ascending order.
Product of first three = 255
Product of last three = 1955
Product of first three = 255
Product of last three = 1955
Formula used
Largest prime = (product of last three) ÷ (product of middle two)
Solution
Step 1: Factor 255
255 = 17 × 15
15 = 3 × 5
So the first three primes (in ascending order) are:
3, 5, 17
15 = 3 × 5
So the first three primes (in ascending order) are:
3, 5, 17
Thus, the middle two primes are 5 and 17, and their product is:
5 × 17 = 85
5 × 17 = 85
Step 2: Find the largest prime
Largest prime = 1955 ÷ 85
Check:
85 × 23 = 1955
85 × 23 = 1955
So the largest prime is 23.
The correct option is (A) 23