Multiple Choice Questions on The sum of the 3 numbers in A P is 21 amp the product of the first amp third number of the sequence ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The sum of the 3 numbers in A P is 21 amp the product of the first amp third number of the sequence ...........

Quantitative Aptitude ( CCS) Arithmetic progression
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    The sum of the 3 numbers in A.P is 21 & the product of the first & third number of the sequence is 45. What are the 3 numbers?

    5, 7, and 9

    Incorrect Answer

    9, 7, and 5

    Incorrect Answer

    3, 7, and 11

    Incorrect Answer

    Both (A) and (B)

    Correct Answer
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    Explanation:

    Let the numbers be a - d, a, a + d
    Then a - d + a + a + d = 21
    3a = 21
    a = 7
    and (a - d)(a + d) = 45
    a2 – d2 = 45
    d2 = 4
    d = +2
    Hence, the numbers are 5, 7 & 9 when d = 2 and 9, 7 & 5 when d = -2.
    In both the given cases numbers are the same.

    By: Amit Kumar
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