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Data sufficiency

This topic has 1 expert reply and 0 member replies

Data sufficiency

Post Mon Sep 18, 2017 1:20 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If p is an integer and p* = p^2 + 2, what is the value of integer k?

    (1) When k + 2 is divided by 5 the remainder is 2.
    (2) 18 < k* < 35

    a. only statement 1 is sufficient
    b. Both statement are sufficient
    c. statement 1 is not sufficient and statement 2 is sufficient
    d. Both statement are not sufficient
    e. statement 2 is sufficient

    OA is d

    express mathematically why option C is the right answer?

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    Post Mon Sep 18, 2017 11:26 pm
    Roland2rule wrote:
    If p is an integer and p* = p^2 + 2, what is the value of integer k?

    (1) When k + 2 is divided by 5 the remainder is 2.
    (2) 18 < k* < 35

    OA is d

    express mathematically why option C is the right answer?
    Either the question is wrong or it is not posted correctly.

    Statement 1: When k + 2 is divided by 5 the remainder is 2.

    k can have many values: 2, 7, 12, 17, 22, ... No unique value. Insufficient.

    Statement 2: 18 < k* < 35

    => 18 < k^2 + 2 < 35

    => 16 < k^2 < 33

    Since k is an integer, two values of k are eligible. k = ±5. No unique value of k. Insufficient.

    Statement 1 & 2:

    From Statement 1, we have k = 2, 7, 12, 17, ... and
    From Statement 2, we have k = ±5.

    We see that no value is common in both the statements, which is not possible. At least one value from each statement should be common.

    An official DS question represents a holistic scenario. Statement 1 cannot invalidate Statement 2 and vice-versa. They must exist in sync.

    Hope this helps!

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