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Four prime numbers are arranged in ascending order. The product of first three numbers is 255 and the product of last three numbers is 1955. The large
Question

Four prime numbers are arranged in ascending order. The product of first three numbers is 255 and the product of last three numbers is 1955. The largest prime number is

A.

23

B.

17

C.

31

D.

29

Correct option is A

Given
Four prime numbers in ascending order.
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
Thus, the middle two primes are 5 and 17, and their product is:
5 × 17 = 85
Step 2: Find the largest prime
Largest prime = 1955 ÷ 85
Check:
85 × 23 = 1955
So the largest prime is 23.
The correct option is (A) 23

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