Wednesday, August 26, 2009

Question of the day - 26th August, 2009

Question 1:

If x is an integer, is y an integer?
(1) The average (arithmetic mean) of x, y and y – 2 is x.
(2) The average (arithmetic mean) of x and y is not an integer.

Question 2:

Three types of pencils, J,K, and L, cost $0.05, $0.10, and $0.25 each, respectively. If a box of 32 of these pencils costs a total of $3.40 and if there are twice as many K pencils as L pencils in the box, how many J pencils are in the box?
(A) 6
(B) 12
(C) 14
(D) 18
(E) 20

Question 3:

Forty percent of the rats included in an experiment were male rats. If some of the rats died during the experiment and 30 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?
(A) 9/14
(B) 3/4
(C) 9/11
(D) 6/7
(E) 7/8

OA will be posted soon.

Thanks,
Quant-Master
Posted by GMAT at 5:24 AM

6 comments:

  1. HungryAugust 26, 2009 at 1:59 PM

    Question:1 A.
    Question:2 C.
    Question:3 A.

    ReplyDelete
  2. AnonymousAugust 26, 2009 at 2:25 PM

    Question:1 D.
    Question:2 C.
    Question:3 didn't get the Q

    ReplyDelete
  3. GMATAugust 27, 2009 at 4:59 AM

    Response to Question 1:

    statement 1: (x+y+y-2)/3 = x

    x+2y-2=3x

    2y-2 = 2x

    y-1 = x

    Since x is an integer Y is also an integer. Sufficient

    Statement 2 is insufficient

    Response to Question 2:

    Let number of L pencils be x
    then number of K pencils be 2x
    and let number of J pencils be y
    so y+3x = 32
    and 5*y + 10*2x + 25*x = 340
    y+9x = 68
    solving these eqns we get x = 6 and y = 14
    so the J pencils are 14.

    Hence C

    Response to Question 3:

    Let total number of rats = 1000

    male = 400 and female = 600

    let percentage of rats which died = x

    0.3x = male rats and 0.7x = female rats

    required ratio = rate of male deaths / rate of female deaths =

    (0.3x / 400)/(0.7x / 600) = 18/28 = 9/14

    Hence A

    ReplyDelete
  4. AnonymousAugust 27, 2009 at 9:33 PM

    I will solve Q2 in a different way. I first check quickly which of the answers fulfill
    32-J=3L (L must be an integer).
    (a) 32-6=26 (wrong)
    (b) 32-12=20 (wrong)
    (c) 32-14=18 (possible)
    (d) 32-18=14 (wrong)
    (e) 32-20=12 (possible)

    Further check
    If J=14, then K=12, L=6;
    14*0.05+12*0.1+6*0.25
    =0.7+1.2+1.5
    =3.40 (nailed)

    ReplyDelete
  5. UmaAugust 28, 2009 at 6:27 AM

    1. A

    2. C

    3. A

    Pls post the OA's.

    ReplyDelete
  6. GMATAugust 28, 2009 at 8:20 PM

    OAs already posted. See comment#3

    ReplyDelete

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