Preference
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Equation and Inequality

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Question:

If b + a = x and a - b = y, then a2 - b2 =

  1. a.

    (x2 - y2)/2

  2. b.

    (x2 - y)/2

  3. c.

    2xy

  4. d.

    xy/2

  5. e.

    xy

Answer: e

Question: If 3/p = 6 and 3/q = 15 then p - q =?

  1. a.
    1/3
  2. b.
    2/5
  3. c.
    3/10
  4. d.
    5/6
  5. e.
    None of these
Answer: c

Question: If x = 12 which of the following has the least value?

  1. a.
    x - 2
  2. b.
    x/2
  3. c.
    2/x
  4. d.
    2 - x
  5. e.
    None of these
Answer: d

Question:

(2x + 2y + x2 - y2)/(x + y) =?

  1. a.

    (x - y)/(x + y)

  2. b.

    (x - y)2/(x + y)

  3. c.

    x - y

  4. d.

    2(x - y)

  5. e.

    None of these

Answer: e

Question: If x + 5y = 16 and x = -3, then y =?

  1. a.
    -24
  2. b.
    -8
  3. c.
    -2
  4. d.
    2
  5. e.
    None of these
Answer: e

Question: If 13 = 13w/(1 - w), then (2w)2 =

  1. a.
    1/4
  2. b.
    1/2
  3. c.
    1
  4. d.
    2
  5. e.
    None of these
Answer: d

Question: If x = 5y = 16 and x = -3, then the value of y is--

  1. a.
    -24
  2. b.
    -8
  3. c.
    -2
  4. d.
    2
  5. e.
    None of these
Answer: e

Question: The solution set of the inequality (2x + 1) < 9(4 - x) is--

  1. a.
    -5 < x < 7/4
  2. b.
    x ≤ -5 and x ≥ 7/4
  3. c.
    -7/4 < x < 5
  4. d.
    x > 5 and x < -7/4
  5. e.
    None of these
Answer: e

Question:

If 0.04 ×0.4 × a = 0.4 × 0.04 ×b, then the value of a/b is:

  1. a.

    0.016

  2. b.

    1.60

  3. c.

    0.16

  4. d.

    None of these

Answer: a

Question: If x = 2y = 3z = 36 then the arithmetic mean of x, y and z is:

  1. a.
    33
  2. b.
    22
  3. c.
    18
  4. d.
    12
  5. e.
    None of these
Answer: b

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