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Equation and Inequality

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Question: A dealer had 24 mobile phones. He sold some of them at a profit of Tk.950 each and he sold the rest at a loss of Tk.500 each. If his total profit was Tk.9750, how many phones did he sell at a loss?

  1. a.
    6
  2. b.
    10
  3. c.
    15
  4. d.
    9
Answer: d

Question: If x + 2y = 2x + y, then x - y equal to--

  1. a.
    0
  2. b.
    2
  3. c.
    4
  4. d.
    5
Answer: a

Question:

If (x - 1)2 = 400, which of the following could be the value of x - 5?

  1. a.

    15

  2. b.

    14

  3. c.

    -24

  4. d.

    -25

Answer: c

Question: The total cost of a bouquet of roses at a flower shop depends on the number of roses ordered. The vase cost $5, and each rose cost $2.25. Which equation can be used to find 'c', the total cost of a bouquet with 'r' roses?

  1. a.
    c = (5 + 2.25)r
  2. b.
    c = 5r + 2.25
  3. c.
    c = 5 + 2.25r
  4. d.
    c = 5 + (5 - 2.25)r
  5. e.
    None of these
Answer: c

Question: Last season, Ellen and Janet together won 32 tennis matches. Ellen won 6 more matches than Janet. How many matches did Ellen win?

  1. a.
    13
  2. b.
    16
  3. c.
    19
  4. d.
    25
  5. e.
    None of these
Answer: c

Question:

If x = ya, y = zb and z = xc then the value of abc is--

  1. a.

    4

  2. b.

    3

  3. c.

    2

  4. d.

    1

Answer: d

Question:

If (x2 - 4x + 9) = 6, which of the following must be false?

  1. a.

    x = 1

  2. b.

    x = 3

  3. c.

    x > 3

  4. d.

    x > 0

  5. e.

    x < 6

Answer: c

Question: An employer pays 3 workers X, Y and Z a total of Tk.610 or 36600.00 a week. X is paid 125% of the amount of Y is paid and 80% of the amount of Z is paid. How much does X make a week?

  1. a.
    Tk.150 or 8500
  2. b.
    Tk.175 or 11700
  3. c.
    Tk.180 or 10800
  4. d.
    Tk.195 or 9000
  5. e.
    Tk.200 or 12000
Answer: e

Question:

If y = 5x2 - 2x and x = 3, then y =?

  1. a.

    24

  2. b.

    27

  3. c.

    39

  4. d.

    51

  5. e.

    219

Answer: c

Question:

What is the value of t2 + 2t + 1t + 1 × n2 + nn3 + 2n2 + n =?

  1. a.

    t/n

  2. b.

    (t + 1)/(n + 1)

  3. c.

    t2/n

  4. d.

    (t + 1)/(n - 1)

Answer: b

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