Preference
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Equation and Inequality

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Question: If the operation ^ is defined by the equation x ^ y = 2x + y, what is the value of a in 2 ^ a = a ^ 3?

  1. a.
    0
  2. b.
    1
  3. c.
    -1
  4. d.
    4
  5. e.
    None of these
Answer: b

Question:

If a + b = √5 and a - b = √3, then a2 + b2 =?

  1. a.

    √8

  2. b.

    6

  3. c.

    4

  4. d.

    4√2

  5. e.

    8

Answer: c

Question: Which of the following inequalities is the solution to the inequality 7x - 5 < 2x + 18?

  1. a.
    x < 13/5
  2. b.
    x > 23/9
  3. c.
    x < 23/9
  4. d.
    x > 23/5
  5. e.
    x < 23/5
Answer: e

Question: If -3t + 8 > t - 6, then--

  1. a.
    t > 7/2
  2. b.
    t < 7/2
  3. c.
    t > 1
  4. d.
    t > -7/2
  5. e.
    t < -7/2
Answer: b

Question: Barkat/Murad bought equal numbers of 20-paisa and 30-paisa stamps. If the total cost of the stamps was Tk.10.00, what was the total number of stamps bought?

  1. a.
    25
  2. b.
    34
  3. c.
    40
  4. d.
    46
  5. e.
    None of these
Answer: c

Question: Five times a number less 3 is 32. What is twice the number?

  1. a.
    16
  2. b.
    7
  3. c.
    3
  4. d.
    5
  5. e.
    None of these
Answer: b

Question: If x + 2y ≤ 3, x > 0 and y > 0, then one of the solutions is--

  1. a.
    x = -1, y = 2
  2. b.
    x = 2, y = 1
  3. c.
    x = 1, y = 1
  4. d.
    x = 0, y = 0
Answer: c

Question: In a cricket team scores X runs on average over N games and then scores Y runs in the next game, then the average score for the team over the (N + 1) games is---

  1. a.
    (X + Y)/(N + 1)
  2. b.
    (NX + Y)/(N + 1)
  3. c.
    {N(X + Y)}/(N + 1)
  4. d.
    {N(X + Y) - 1}/N
  5. e.
    {(N + 1)(X + Y)}/(N + 1)
Answer: b

Question: If two non-zero positive integers p and q are such that p = 4q and p < 8, then q =?

  1. a.
    1
  2. b.
    2
  3. c.
    3
  4. d.
    4
  5. e.
    5
Answer: a

Question: If x = -1, which of the following has the largest value?

  1. a.
    2x
  2. b.
    4x
  3. c.
    8x
  4. d.
    x/2
  5. e.
    x/4
Answer: e

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