hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    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

    Free Tests

    Free
    Must Attempt

    DSSSB PRT Full Mock - 01

    languageIcon English
    • pdpQsnIcon200 Questions
    • pdpsheetsIcon200 Marks
    • timerIcon120 Mins
    languageIcon English
    Free
    Must Attempt

    Educational Psychology & Pedagogy - 01

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon20 Marks
    • timerIcon15 Mins
    languageIcon English
    Free
    Must Attempt

    DSSSB PRT PYP Held on 7th March 2022 Shift 1

    languageIcon English
    • pdpQsnIcon200 Questions
    • pdpsheetsIcon200 Marks
    • timerIcon120 Mins
    languageIcon English
    test-prime-package

    Access ‘UP LT’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    370k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow